A designer makes the sketch shown below for a new lamp. What is the approximate area of her sketch?
The lamp shade is a trapezoid. Its area is approximately square inches. The bases of the lamp are two trapezoids. The area of each is approximately square inches. In total, the area is approximately square inches.​

A Designer Makes The Sketch Shown Below For A New Lamp. What Is The Approximate Area Of Her Sketch? The

Answers

Answer 1

The approximate area of the sketch for the new lamp is : A = 70 [tex]in^{2}[/tex]

What is a Trapezium

A trapezium is one pair of parallel sides and one pair of non-parallel sides.

from the diagram we can extract the necessary information needed to find the area of the trapezium.

for the first trapezium (lamp shade)

a = 4 in

b = 6 in

h = 6 in

[tex]A_{1}[/tex] = [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{1}[/tex] = [tex]\frac{4 + 6}{2}[/tex] * 6

[tex]A_{1}[/tex] = [tex]\frac{10}{2}[/tex] * 6

[tex]A_{1}[/tex] = 5 * 6 = 30[tex]in^{2}[/tex]

For the area of the second trapezium (lamp base)

a = 4 in

b = 6 in

h = 4 in

[tex]A_{2}[/tex]  = [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{2}[/tex]  = [tex]\frac{4 + 6}{2}[/tex] * 4

[tex]A_{2}[/tex]  = [tex]\frac{10}{2}[/tex] * 4

[tex]A_{2}[/tex]  = 5 * 4 = 20[tex]in^{2}[/tex]

For the area of the third trapezium (lamp base)

a = 6 in

b = 4 in

h = 4 in

[tex]A_{3}[/tex]  =  [tex]\frac{a + b}{2}[/tex] * h

[tex]A_{3}[/tex]  =  [tex]\frac{6 + 4}{2}[/tex] * 4

[tex]A_{3}[/tex]  =  [tex]\frac{10}{2}[/tex] * 4

[tex]A_{3}[/tex]  =  5 * 4 = 20[tex]in^{2}[/tex]

The total Area of the trapezium (lamp)

A = [tex]A_{1}[/tex]  +  [tex]A_{2}[/tex]  +  [tex]A_{3}[/tex]

A = 30 + 20 + 20

A = 70 [tex]in^{2}[/tex]

Inconclusion The approximate area of the sketch for the new lamp is : A = 70 [tex]in^{2}[/tex]

Learn more about Trapezoid : https://brainly.com/question/1463152

Answer 2

Answer:

Step-by-step explanation:

20, 30, 70


Related Questions

Consider the following system of equations.

1. 75x + 1. 25y = 2. 75

7x + 5y = 9


What is the solution to the system?


Since 11 ≠ 9, there is no solution.


Since 0 = 0, there are infinitely many solutions.


There is one solution, x = 0 and y = 0.


There are two solutions (11, 0) and (0, 9)

Answers

Multiply the upper system by -4:

[tex] - 7x - 5y = - 11[/tex]

[tex]7x + 5y = 7[/tex]

[tex]0 = - 3[/tex]

[tex]this \: system \: admits \: no \: solutions[/tex]

You know that the current exchange rate for us dollars (usd) to indian rupees (inr) is 1:45.85, that the exchange rate for indian rupees to bangladeshi taka (bdt) is 1:1.507, and that the exchange rate for bangladeshi taka to myanma kyat (mmk) at a rate of 1:0.0928. which of the following equations is set up properly to calculate the exchange rate from us dollars to myanma kyat? a. (1 u s d) times startfraction (1 u s d) over (45.85 i n r) endfraction times startfraction (1 i n r) over (1.507 b d t) endfraction times startfraction (1 b d t) over (0.0928 m m k) endfraction = (x m m k). b. (1 u s d) times startfraction (45.85 i n r) over (1 u s d) endfraction times startfraction (1.507 b d t) over (45.85 i n r) endfraction times startfraction (0.0928 m m k) over (1.507 b d t) endfraction = (x m m k). c. (1 u s d) times startfraction (45.85 i n r) over (1 u s d) endfraction times startfraction (1.507 b d t) over (1 i n r) endfraction times startfraction (0.0928 m m k) over (1 b d t) endfraction = (x m m k). d. (1 u s d) times startfraction (1 u s d) over (45.85 i n r) endfraction times startfraction (45.85 i n r) over (1.507 b d t) endfraction times startfraction (1.507 b d t) over (0.0928 m m k) endfraction = (x m m k).

Answers

The exchange rate from US dollars to Myanma Kyat is given as:

1 : (45.85 × 1.507) × (0.0928) (Option C).

What is an exchange rate?

The rate at which one currency is converted to another is what is referred to as Exchange Rate.

How do we arrive at the above equation?

Recall that the following is given from the question:

Current exchange rate for US dollars (USD) to Indian rupees (INR) is, 1 : 45.85The exchange rate for Indian rupees to Bangladeshi taka (BDT) is, 1 : 1.507The exchange rate for Bangladeshi Taka to Myanma kyat (MMK) is, 1 : 0.0928

Step One - Convert from USD to BDT

This gives us 1 : (45.85 × 1.507); Hence, the rate from BDT to MMK is 1 : 0.0928

Step Two: - Ascertain the current rate for USD to MMK

This gives us - 1 : (45.85 × 1.507) × (0.0928). To get a simplified version. One would have to open the brackets.

However, from the above, it is clear that the correct answer is Option C.

Learn more about Exchange Rates at:

https://brainly.com/question/2202418

The diagram shows the curve with equation y = ( 1 + x ) cosx.

Complete the table below for points on the curve, giving the y values correct to 3 decimal places where appropriate.

Answers

Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

[tex]y=(1+x)\cos x[/tex]

[tex]\textsf{when}\:x=0:[/tex]

[tex]\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{6}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{3}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}[/tex]

[tex]\textsf{when}\:x=\dfrac{\pi}{2}:[/tex]

[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}[/tex]

A store owner bought a grill for $180, then
marked it up 25% to sell in his store. If a
customer has a coupon for 25% off and
purchases the grill, which statement is true?
A. The customer paid the same
amount the store owner paid.
B. The customer paid $8.75 less
than the store owner paid.
C. The customer paid $11.25 less
than the store owner paid.
D. The customer paid $9.50 more
than the store owner paid.

Answers

Answer:

A. The customer paid the same

amount the store owner paid.

Step-by-step explanation:

its adding 25% of the original $180, then immediately decreasing 25% of the original $180, thus the customer paid the same amount the store owner paid.

C

The higher the number, the more you divide

Here is my way of doing this

I divide it by 10 then multiply by 7.5

So 225 divided by 10 is 22.5

I multiply by 5 and get 112.5 or do 20 x 5 and add 12.5 because the other 2.5 x 5 is 12.5

Then divide it by 2 and add it to the 112.5

So 110 divided by 2 is 55 and 2.5 divided by 2 is 1.25 so 55 + 1.25 is 56.25

Now we add 112.5 + 56.25 is 168.75

180
-168.75 = 11.25

You have $5,000 to invest for ten years. Crown of The Sun bank pays compound interest at an annual rate of 4.5%. Calculate your balance after 10 years. Round to the nearest hundreth

Answers

Answer: $7,764.85

Step-by-step explanation:

Use the formula for Compound Interest: CI = P(1 + r/n)^nt

CI = 5000(1 + 0.045/1)^10

CI = 5000(1.045)^10

CI ≅ $7,764.85

After 10 years, the balance should be $7,764.85

Answer:

$7764.85

Step-by-step explanation:

Assume the compounding is annual.

F = P(1 + r/n)^(nt)

F = 5000(1 + 0.045/1)^10

F = 7764.85

Answer: $7764.85

using the rule y= 7 x-5,find the value of y when x is 3

Answers

Answer:

16

Step-by-step explanation:

If x = 3, then all we must do is substitute.

y=7(3)-5

y= 21 -5

y= 16

---

Hope I helped :)

HELP! WILL GIVE BRAINLEST! On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

Answers

Answer:

2 rad

Step-by-step explanation:

Given :

arc length = 2 mradius of a unit circle = 1 m

Formula

l = rβ⇒ β = l/r

Solving for β

β = 2/1β = 2 rad

Benny went to his local zoo that featured 11 reptile exhibits. if these reptiles exhibits make up 55% of the zoo's exhibits, then how many exhibit does the zoo have in total?​

Answers

Answer: 20 exhibits

Step-by-step explanation:

    If 11 is 55%, we need to find 100%. We will set up a proportion and solve. Percents are on the bottom, exhibits are on the top.

[tex]\frac{11}{55}[/tex] = [tex]\frac{x}{100}[/tex]

    Cross multiply:

1,100 = 55x

    Divide:

20 = x

    There are 20 exhibits in total.

1. Find the value of X and Y:

2. Find the value of X:

Answers

Answer:

Step-by-step explanation:

Find the equation of the line shown

Answers

Answer:

that would be 1/1 or just 1 as your equation of the line.

Step-by-step explanation:

you find this by taking one part of the grid where a line perfectly intersects 2 parts, and you count to the next spot where this happens, in this case would be to the right 1 and up one, making the slope 1/1 which you can simplify into 1. and slope works like y/x, which y is the up and down movement while x is the side to side.

Answer:

y = x + 6

Step-by-step explanation:

two points are;

(0 , 6) & (4 , 10)

The slope: [tex]\frac{10-6}{4-0} =\frac{4}{4} =1[/tex]

The equation:

[tex]y-10=1(x-4)[/tex]

[tex]y-10=x-4[/tex]

[tex]y=x-4+10[/tex]

[tex]y=x+6[/tex]

Hope this helps

What value of x is the solution to the equation −3/2x−3/4=−1/5 ?

A
−19/30

B
33/40

C
−19/20

D
−11/30

Answers

Answer:

[tex]\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

-3/2x-3/4=-1/5

First, add by 3/4 from both sides.

[tex]\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }[/tex]

Solve.

⇒ = -3/2x=11/20

Then, you multiply by 2 from both sides.

2(-3/2x)=11*2/20

Solve.

11*2/20

11*2=22

22/20

Common factor of 2.

11/10

-3x=11/10

Divide by -3 from both sides.

[tex]\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}[/tex]

Solve.

[tex]\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}[/tex]

Therefore, the correct answer is D. x=-11/30.

I hope this helps! Let me know if you have any questions.

10 identical copies of a movie will be stored on 40 computers such that each computer has at most 1 copy. How many different ways can the 10 copies be stored

Answers

We will see that there are 847,660,528 different ways in which the copies can be stored.

In how many ways can the 10 copies be stored?

So, we know that the copies can be stored in any of 40 computers, such that each computer can get, at most, one copy.

Then what we need to do is find how many different combinations of 10 computers can we make with the set of 40 computers, this is given by using the combination formula:

[tex]C(40, 10) = \frac{40!}{(40 - 10)!*10!} = \frac{40*39*38*37*36*35*34*33*32*31}{10*9*8*7*6*5*4*3*2} = 847,660,528[/tex]

This means that the 10 computes can be selected in 847,660,528 different ways, so there are 847,660,528 different ways in which the copies can be stored.

If you want to learn more about combinations, you can read:

https://brainly.com/question/11732255

The volume of a​ cone-shaped hole is 147 pi ft3 If the hole is 9 ft deep, what is the radius of the​ hole?

Please help!!

Answers

radius : 3.95 ft

[tex]\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{3} \pi r^2(9) = 147[/tex]

[tex]\hookrightarrow \sf r^2 = \dfrac{147*3}{\pi (9)}[/tex]

[tex]\hookrightarrow \sf r = \sqrt{\dfrac{147*3}{\pi (9)}}[/tex]

[tex]\hookrightarrow \sf r = 3.95 \ ft[/tex]

Need some help please.

Answers

Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.

What are the Rules of Exponents?

Some of the rules of exponents to be applied are as follows:

[tex]x^0 = 1\\\\x^m \times x^n = x^{(m + n)}\\\\x^{-m} = \frac{1}{x^m} \\\\x^m \div x^n = x^{(m - n)}\\\\[/tex]

What are Equivalent Expressions?

If two expressions have the same value, both are said to be equivalent expressions.

1. [tex]3^2 \times 3^{-5} = 3^{2 - 5}\\\\[/tex]

[tex]3^-3 = \frac{1}{3^3} = \frac{1}{27}[/tex]

Answer: H

2. 3³/6² = 27/36 = 3/4

Answer: R

3. [tex]\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}[/tex]

Answer: M

4. 7²/7² = 49/49 = 7° = 1

Answer: J

5. 8^-2 = 1/8² = 1/64

Answer: A

6. (4²)(4³) = 4^(2 + 3) = [tex]4^5[/tex]

Answer: L

7. (3²)³ = 3²*³ = [tex]3^6[/tex]

8. 4° × 4^-1 = 1 × 1/4 = 1/4

Answer: E

9. [tex]\frac{(2^4)^3}{(2^7)(2^5)} = \frac{2^{12}}{2^{12}}[/tex] = 1

Answer: U

10. [tex](3^2)^{-1} = 3^{-2}[/tex]

Answer: I

11. [tex]1^{98}[/tex] = 1

Answer: D

12. [tex]y^{10} \div y^5 = y^{10 - 5} = y^5[/tex]

Answer: F

13. [tex]8^{-2} \times 8^4 = 8^{(-2 + 4)}[/tex] = 8² = 64

Answer: S

14. [tex]2^{-3} \times 3^{-2} =[/tex] 1/2³ × 1/3² = 1/8 × 1/9 = 1/72

Answer: O

15. [tex]\frac{3^2}{3^2} = 3^{2-2} = 3^0 = 1[/tex]

Answer: N

16. [tex](\frac{1}{2} )^{-1} = (2^{-1})^{-1}[/tex] = 2

Answer: T

Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.

Learn more about the rules of exponents on:

https://brainly.com/question/12140519

raise r to the 7th power, then double the result

Answers

Answer:

[tex]\huge\boxed{\bf\:2r^{7}}[/tex]

Step-by-step explanation:

Let the variable be taken as 'r'.

Then, by raising it to the 7th power, we'll get the result as [tex]\downarrow[/tex]

 [tex]\sf\:Raise \: r \: to \: the \: 7^{th} \: power = r \: with \: 7 \: as \: its \: exponent.\\\\\sf\:Then,\\\dashrightarrow \underline{\bf\:r \: ^{7}}[/tex]

Now, by doubling the result....

[tex]\sf\:To \: double \: the \: result = multiply \: the \: result \: by \: 2.\\\\\sf\:Then,\\\dashrightarrow \sf\:r \: ^{7} \\=\boxed{\bf\: 2r\:^{7}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

2r⁷

Step-by-step explanation:

Raise r to 7th power

= r⁷

Double it

= 2r⁷

_________

Hope it helps ⚜

I need help with this assignment, please help

Answers

Answer:

A

Step-by-step explanation:

We need to first find the number of dice rolls. The amount of dice rolls equals 8+9+5+15+2+11=50. And 8 out of thouse 50 were ones, so 8 out of 50 rolls is also 4 out of 25 rolls.

Goal: Gather and organize statistical data in frequency distribution table.
Role: Statistician, Data Analyst
Audience: Math Teacher, Adviser
Situation: Your Math Teacher asked your class to conduct a simple survey to
determine the number of learners who are using gadgets in your school.
Product/ Performance:
You were asked to look for at least 15 individuals among your friends within
your school and construct a frequency distribution table on each category:
A. gender
B. preferred distance learning modality (online, modular, blended)
C. available gadget used in distance learning (smartphone, laptop,
tablet, desktop, or none)

I'm looking for a serious answer. I need to pass this on monday. Thank you.

Answers

Frequency distribution tables are a tool for organizing data and obtaining additional information.

What is the frequency distribution?

The frequency distribution is a term to refer to a type of tables that are used in the area of statistics to organize data.

In the frequency distribution tables, the different variables are arranged by rows. The columns show the number of occurrences for each value, percentages, among others. These types of tables are an ideal tool to analyze data and obtain specific information.

Learn more about frequency distribution table in: https://brainly.com/question/12385304

Pls help quick

the

A garden store bought a fountain at a cost of $995. 66 and marked it up 100%. Later on,

store marked it down 25%. What was the discount price?

Answers

hope it really helps......!!!!!

Give the person above brainiest

please help if you can xx

Answers

Answer:

Below in bold.

Step-by-step explanation:

The angle in a regular octagon =  180 - (360/8) = 135.

Using trigonometry  sin (135/2) = k/2 / EF

sin 67.5 = k / 2EF

2EF = k / sin 67.5

EF = k / 2 sin 67.5 = k/1.8478

Perimeter of octagon = 8 * k/1.8478

= 4.33k to the nearest hundredth.

A bookshelf contains 9 mysteries and 7 biographies books. A book is randomly selected and not replaced.
What is the probability that the first book is mystery and the second is the biography?

Answers

Answer:

The answer is 7/30

Step-by-step explanation:

According to counting rules, we use permutation when we want to choose successively and without replacement, as given in this problem

Rule of permutation: nPr = n! /(n-r)!

where: n:objects and r:sample

n of mysteries=9  ;   r of mysteries=1  ;  ⇒ 9P1

n of biographies=7  ;  r of biographies=1  ;  ⇒ 7P1

n of total books=9+7=15  ;  r of total books=2  ;  ⇒15P2

Probability=( 9P1 x 7P1 ) / 15P2 = 49/210 = 7/30

Hope this helps :)

Traingle Congruence, FlowChart Proof Level2, 10th Grade​

Answers

Answer:

Step-by-step explanation:

→1.

Statement : AB ≅AD  (side)

Reason: Given

→2.

Statement : ∡BAC≅∡CAD  (angle)

Reason: Given

→3.

Statement : AC ≅AC  (side)

Reason: Reflexive Property -a side is congruent with itself

Statement : ΔABC ≅ΔADC

Reason: Side-Angle-Side Theorem of Congruency

(If two corresponding sides of two triangles are congruent and the corresponding angles between those two sides are congruent then the two triangles are congruent)

Find the area, no need to explain, need this quick!!

Answers

Answer:

A = 201.5 m2

Step-by-step explanation:

[tex]A=76.5+65+60=201.5[/tex]

Hope this helps

Kiwi fruit contains roughly two and a half times as much vitamin C as the same weight of oranges.

What weight of kiwi fruit contains approximately the same amount of Vitamin C as 1kg of oranges

Answers

Using proportions, it is found that 400g = 0.4kg of kiwi fruit contains approximately the same amount of Vitamin C as 1kg of oranges.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Kiwi fruit contains roughly two and a half times as much vitamin C as the same weight of oranges. Hence, if there is 1 kg = 1000g of oranges, the weight of kiwi fruit is given by:

1000/2.5 = 400g = 0.4kg.

More can be learned about proportions at https://brainly.com/question/24372153

1. Carol jogged 13 miles on 5 days last week.
She jogged 22 miles on 4 days this week.
Was her total distance greater last week or
this week? How much greater? Explain.

Answers

13 x 5 = 65
22 x 4 = 88
She jogged 65 miles last week and 88 miles this week, so she her total distance this week was greater.
It was 23 miles greater.
Explanation: 88 miles is greater than 65 miles by 23 miles because 88 - 65 = 23.
Any Questions?

solve the inequality; x2-x-2>0

Answers

Answer:

x > 2/3

Step-by-step explanation:

2x -x - 2 > 0  

add 2x and x (It becomes 3x)

3x -2 >0

subtract 0 from both sides

3x> 2

divide 3 on both sides

And the answer is

X> 2/3

Find the surface area of each solid.

Answers

Answer:

232 in^2

Step-by-step explanation:

This rectangle has 6 surfaces:

Front: 10 x 8 = 80

Back: 10 x 8 = 80

Top: 10 x 2 = 20

Bottom: 10 x 2 = 20

Side: 8 x 2 = 16

Side: 8 x 2 = 16

Total surface area: 232 in^2

Find the surface area of the prism:

Answers

Answer: the prism has a surface area with 920

Find the surface area of the figure. Be sure to show all of your work and steps in solving
for your answer.

Please show me the steps and solutions not just answers pls pls pls help me, tysm!!

Answers

The surface area of the figure which comprises two rectangular prisms is: 328 in.²

What is the Surface Area of a Rectangular Prism?

Surface area = 2(wl+hl+hw)

Decompose the given figure into two.

Surface area of the figure = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of base of the top rectangular prism)

Surface area of top rectangular prism:

l = 6 in.

w = 4 in.

h = 5 in.

Surface area = 2(wl+hl+hw) = 2(4×6 + 5×6 + 5×4) = 148 in.²

Surface area of bottom rectangular prism:

l = 6 in.

w = 9 in.

h = 4 in.

Surface area = 2(wl+hl+hw) = 2(9×6 + 4×6 + 4×9) = 228 in.²

Area of base of the top rectangular prism:

Area = (l)(w) = (6)(4) = 24 in.²

Surface area of the figure = 148  + 228 - 2(24)

Surface area of the figure = 328 in.²

Learn more about surface area of a rectangular prism on:

https://brainly.com/question/1310421

What is the volume of this pyramid? 32 cm 9 cm 15 cm​

Answers

Answer:

720cm^3

Step-by-step explanation:

The volume of the pyramid with a = 9cm, b = 15cm and l = 32cm is 720cm^3.

Answer:

720³ cm

The formula for volume is...

length ×width ×height

With that information, we should multiply the smaller numbers first.

[tex]B = \frac{1}{2} xy[/tex]

Replace the substituted parameters with 9 and 15, then multiply them and solve.

[tex]B = \frac{1}{2}(9)(15) = \frac{135}{2}[/tex]

UseV for volume.

[tex]V = \frac{1}{3} * \frac{135}{2} * 32 = 45 * 16[/tex]

Reducing the expression ↓

[tex]V = 720^3~cm[/tex]

Hence, the volume is 720³ cm

gift card for 25 dollars 4 dollars per pair 5 dollars off

Answers

Answer:

i dont know but i will try

Step-by-step explanation:

example

34 dolars look i have answer

Other Questions
Romantic songwriters found their texts from a variety of sources, but primarily Spanish Ossianic poems.a. Trueb. False What is the value of x? Ill give brainiest How would New Mexico be different today if the Cold War had never happened? What is 26.375% written as a decimal number? what is the figure of speech for tequila mockingbird? ________ is the strengthening of an original group attitude after the discussion of views within a group. Solve using the Elimination Method 5x + y = 4 6x - y = 7 Explain how you would find 2/3 x 12 mentally. (help lol) You have 5/10 of a pizza left over from your pool party. If you sent 7/11 of the leftover pizza home with your friends, how much of the pizza do you have left in the box? Jeff drinks 2/3 of a glass of juice write A fraction that is equivalent to 2/3 A right triangular prism is sliced parallel to it's base. What is the shape of the resulting two dimensional cross section? 10. A museum gift shop sells hats with embroidered logos of the museum.The hats are available in small, medium, and large sizes. They are availablein the colors red and green.Make a tree diagram or a table to represent all possible varieties of hats sold atthe museum. Pretend you are the school principal and answer the volunteer coordinators question. Name four chores and repairs that need to be done at the school. DIRECTOR:Well, we have to make a lot of arrangements at school. Do they have enough volunteers to help?VOLUNTEER COORDINATOR:Yes, of course. What kind of arrangements need to be made?DIRECTOR:Good... if the equation of a circle is x^2+y^2-3x-y-13/2=0, find the length of the diameter of the circle About 50 cane toads were introduced into Australia in 1935 to try to control the population of beetles that destroy sugar cane plants. By 2005, there were an estimated 100,000,000 cane toads in Australia. An exponential function that models the number of female cane toads in Australia t years after 1935 is given by f(t)=50(1.23)t . a. Write a linear function p that models the number of cane toads in Australia t years after 1935. p(t)=_____ b. Describe the parameters in the exponential function, , in terms of the context of the problem. ____ c. Describe the parameters in the linear function, p , in terms of the context of the problem. ____ Question 4 d. Which model do you think is more appropriate to model the female cane toad population? Use the parameters of the functions to justify your reasoning. Linear or exponential? Predict the population of female cane toads in Australia in 2000 based on each function. The linear function predicts that there would be ___ female cane toads in 2000. The exponential function predicts that there would be ___ female cane toads in 2000. A factory makes circular rugs with a radius of 6.5 feet. How much braid dothey need to go all the way around the outside of the rug? Use 3.14 for it.A 40.82 ftB 132.67 ftC 20.41 ftD R 16.14 ft What was one effect of European social programs like health care and unemployment insurance? The programs were not made available to all citizens.Few citizens could afford to take advantage of the programs.The governments raised taxes on citizens to pay for the programs.Many citizens fought against the governments creating the programs. Where does the Democratic Republic of the Congo (DRC) rank for size globally?A. 10B.12C. 8D. 14 What is the reason Oceania has so few natural resources?Question 17 options:Poor Soil Lack of Minerals Size of the IslandsAll of the above