Raquel is cutting out pieces of cardboard to make a pyramid. She will use a square piece for the base and identical triangular pieces for the sides. The figure above shows the dimensions of the triangle for each side. What will be the total surface area, in square inches, of the pyramid, including the square base?​

Raquel Is Cutting Out Pieces Of Cardboard To Make A Pyramid. She Will Use A Square Piece For The Base

Answers

Answer 1

Answer:

340 inch²

Step-by-step explanation:

Side of the square is equal to the base of the triangle.

Area of square base

= side²

= (10 inch)²

= 100 inch²

Area of each triangle

= ½ × base × height

= ½ × 10 inch × 12 inch

= 10 inch × 6 inch

= 60 inch²

So, area of 4 triangles used

= Area of each triangle × 4

= 60 inch² × 4

= 240 inch²

Total surface area of pyramid

= Area of square base + area of 4 triangles

= 100 inch² + 240 inch²

= 340 inch²


Related Questions

3. A ball is dropped initially from a height of 1.2 m. The rebound from the floor is 3/5 of the previous height.
(a) Find the height to which the ball rises at the 2nd bounce.
(b) Find the total distance that the ball has travelled when it hits the floor for the tenth time.
(c) Assuming that the ball continues to bounce in the same way indefinitely, find the total distance that the ball travels.​

Answers

Answer:

Step-by-step explanation:

Let the height above which the ball is released be  H  

This problem can be tackled using geometric progression.

The  nth  term of a Geometric progression is given by the above, where  n  is the term index,  a  is the first term and the sum for such a progression up to the  Nth  term is

f(x)=19x+11 find f(4)​

Answers

Answer:

87

Step-by-step explanation:

f(x)=19x+11

Let x = 4

f(4) = 19*4 +11

     =76 +11

     = 87

Answer:

[tex]f(x) = 19x + 11 \\ f(4) = 19 \times 4 + 11 \\ = 76 + 11 \\ = 87 \\ thank \: you[/tex]

If two vectors are perpendicular then what is the condition​

Answers

Answer:

If two vectors are perpendicular, then their dot-product is equal to zero. The cross-product of two vectors is defined to be A×B = (a2_b3 - a3_b2, a3_b1 - a1_b3, a1_b2 - a2*b1). The cross product of two non-parallel vectors is a vector that is perpendicular to both of them.

Step-by-step explanation:

Last part of my brothers homework

Answers

So to find the average we need to add all three days of fishes together. And divide by the amount of days.

88 + 96 + 32= 216

216/3= 72

The average fish saw was 72.

Any questions? :)

6 Explain in words how to simplify: (153 to the 2nd power times 7

Answers

Step-by-step explanation:

153^2×7

163863

plss mark me brainliest

34.8% female doctors 48,200 total female what was the total number of registered doctors

Answers

The answer is 16773.6 because you just find the 34.8 percent of 48,200

Romeo bought a mixture of 20-cent, 35-cent,
and 50-cent valentines. The number of 20-cent
valentines was 1 more than twice the number of
35-cent valentines, and the number of 50-cent
valentines was 2 less than the number of
35-cent ones. If he spent $4.20 all together,
how many valentines of each kind did he buy?

Answers

9514 1404 393

Answer:

20-cent: 935-cent: 450-cent: 2

Step-by-step explanation:

Let x, y, z represent the numbers of 20-cent, 35-cent, and 50-cent valentines. Then the given relations can be written as ...

  x = 1 +2y

  z = -2 +y

  0.20x +0.35y +0.50z = 4.20

__

Using the first two equations to substitute for x and y in the third equation, we get ...

  0.20(1 +2y) +0.35y +0.50(-2 +y) = 4.20

  1.25y -0.80 = 4.20 . . . . . simplify

  1.25y = 5.00 . . . . . . . . . . add 0.80

  y = 4 . . . . . . . . . . . . . . . divide by 1.25

  x = 1 +2(4) = 9

  z = -2 +4 = 2

Romeo bought 9 20-cent, 4 35-cent, and 2 50-cent valentines.

Think About the Process The length of a rectangle is twice the width. The area of the rectangle is
54 square units. Notice that you can divide the rectangle into two squares with equal area. How
can you estimate the side length of each square? Estimate the length and width of the rectangle.
+
27
B. Estimate
4
C. Estimate 27.
D. Estimate 54
The rectangle is
(Round to the nearest tenth as needed.)
units long and units wide.
0
vo
(10
More
Enter your answer in the edit fields and then click Check Answer.

Answers

Answer:

27

Step-by-step explanation:

¿How to solve with logarithms?

See image please

Answers

Answer:

Step-by-step explanation:

Apply the natural log to both sides we have

[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]

5 thousand is ———————- times as many as 5 hundred

Answers

Answer:

Ten

Step-by-step explanation:

5000/500 = 10

Answer: 10 times as many 5 hundreds

Step-by-step explanation: five times five hundreds equals 5,000

14 subtracted from three times a number is -53 find the number

Answers

Step-by-step explanation:

let the number

[tex] = x[/tex]

Then:

[tex](3x - 14) = 53 \\ 3x = 53 + 14 \\ 3x = 67 \\ x = 67 \div 3 = 22.33[/tex]

Answer:

[tex]number = x \\ 3x - 14 = - 53 \\ 3x = - 53 + 14 \\ 3x = - 39 \\ x = \frac{ - 39}{3} \\ x = - 13 \\ thank \: you[/tex]

People drive on average 15,099 miles per year about how many miles each week is that ?

Answers

Answer:

The answer is 2,157

Step-by-step explanation:

15,099÷7=2,157

Simplify and show step by step 30 POINTS!

Answers

Step-by-step explanation:

the explanation is in the diagram above

Andrea has as a jar full of quarters and dimes. Let q=
number of quarters and d= number of dimes. Which of the following expressions can be used to find the total amount of money in Andrea's jar?

a. 3.75q+0.50d
b. 2.50q+1.75d
c. 1.50q+0.50d
d. 0.25q+0.10d

ONLY ANSWER IF YOU KNOW!! STEPS ARE OPTIONAL

Answers

Answer:

d. 0.25q+0.10d

Step-by-step explanation:

Because quarters are equivalent to 0.25 and dimes are 10 cents, option d is correct.

The expression to find the total amount of money in Andrea's jar is: 0.25q + 0.10d.

Thus, option (D) is correct.

A quarter is worth $0.25, and the number of quarters is represented by q.

A dime is worth $0.10, and the number of dimes is represented by d.

To calculate the total amount of money, multiply the value of each coin by the respective quantity and sum them up.

So, the expression to find the total amounts is 0.25q + 0.10d

Here, expression accounts for the value of each coin (0.25 for a quarter and 0.10 for a dime) and multiplies it by the corresponding quantity to obtain the total amount of money in dollars.

Thus, option (D) is correct.

Learn more about Expression here:

https://brainly.com/question/34132400

#SPJ4

How do I simplify 2m : 125cm

Answers

Step-by-step explanation:

125cm = 1.25m.

2m : 1.25m = 8:5

125=1.25

2m: 1.25=8.5

If Angle 1 = 26, find the measure of angle 4

Answers

Answer:

104

Step-by-step explanation:

The measure of angle 4 for the given parallel lines and angle is equal to 26°.

In the figure the parallel lines and the transversal forms angle 1 , angle 2 , and angle 4.

As per the diagram,

Angle 1 is vertically opposite angle to angle 2.

This implies,

Measure of angle 1 = Measure of angle 2.

Here, Measure of angle 1 =  26 degrees.

⇒ Measure of angle 2 = 26 degrees ( vertically opposite angles)

Now , Angle 2 and angle 4 are corresponding angles.

⇒measure of angle 2 = measure of angle 4

⇒ Measure of angle 4 = 26 degrees.

Therefore, the measure of angle 4 is equal to 26°.

Learn more about measure here

brainly.com/question/30605378

#SPJ2

write all prime numbers from 20 to 50.​

Answers

Answer:

So, 23, 29, 31, 37, 41, 43 and 47 these are the prime numbers between 20 and 50.

Step-by-step explanation:

plz mark me brainliest

Answer:

So the prime numbers between 20 and 50 are so easy

- 23, 29, 31, 37, 41, 43 and 47

these are the prime numbers between 20 and 50

Step-by-step explanation:

Hope it helps

If X= 9 and Y = 3, what is XY

Answers

Answer:

[tex]x = 9 \\ y = 3 \\ xy = x \times y = 9 \times 3 \\ = 27[/tex]

What is 33.83 x 99.21

Answers

The answer to this multiplication problem is 3,356.2743

ABC Company sells a certain product line at an established price of Br 42 per unit The variable cost per unit is Br 36. The fixed cost for the year amounts to Br 540,000 Next year the selling price is to be increased to Br 45perunit. How many units had to be sold at the old established price each year in order to Breakeven

Answers

90,000 units of the product has to be sold each year in other to break even.

The old established price = 42 per unit :

The break even unit is the number of units sold such that the net profit = 0

(expenses - income) = 0

The expenses = (Fixed cost + variable cost)

Fixed cost = 540000

Fixed cost = 540000Variable cost per unit = 36

Let the number of units required to break even = x

Expenses = income or revenue

(540000 + 36x) = 42x

540000 + 36x = 42x

540000 = 42x - 36x

540000 = 6x

x = 540000 / 6

x = 90000

Hence, 90,000 units has to be sold at the old established price in other to break even.

Learn more : https://brainly.com/question/15612181

Given f(x) = 2x+1 and g(x) = 7/4x + 1 what is the value of f(1)-g(-4)

A) -3 B) 3 C) 9 D) -9

Answers

Answer:

c)9

Step-by-step explanation:

f(x)=2x+1

f(1)=2(1)+1

f(1)=2+1

f(1)=3

g(x)=7/4 x+1

g(-4)=7/4 (-4)+1

g(-4)=-7+1

g(-4)=-6

f(1)-g(-4)=3-(-6)

=3+6

=9

Note:if you need to ask any question please let me know.

3.3 to the power of 2

Answers

Multiply 3.3 by itself twice. 3.3 x 3.3 = 10.89

Answer:

10.89

Step-by-step explanation:

3.3 to the power of two is just saying 3.3 squared. which is just multiplying the number by itself.

so 3.3 times 3.3 = 10.89

In the problem · N = 1, N must be

Answers

Answer:

the value of N should be -1

what is ninety two thousand one hundred seventy

Answers

Answer:

92170

I hope it's helps you

A regular hexagon is a six sided figure with all sides equal and all six angles equal. Find the length of the sides if the perimeter of the regular hexagon is 462 ft.

Answers

Answer:  77 feet

Explanation:

Because all sides are the same for a regular hexagon, we simply divide the perimeter by 6 to get the side length.

side length = perimeter/6 = 462/6 = 77 feet

Answer these questions

Answers

Step-by-step explanation:

B)1.supplementary

2.complementary

3complementary

4supplementary

5supplementary

6complementary

C)1.40

2.35

3.63

4.130

Please help answering the question

Answers

Answer:

I don't know jdjdjdcisveobeobeoxbepxbeoxbwp

A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be

Answers

Answer:

The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.

What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?

Step-by-step explanation:

A car has been purchased for £5200 and is estimated to have an expected life driving 200,000
miles. At the end of that time its value is estimated to be £200. If the units-of-production
method is used to depreciate the car,
a) What is depreciation cost per mile?
b) What will be book value of the car after it has driven 55000 miles?

Answers

Answer:

a) 0.025£ b)3825£

Step-by-step explanation:

a) 5200-200=5000 - of the value will be lost after reaching the milleage of 200000 miles

200000-5000

1-x

200000=5000/x

x=5000/200000= 5/200=1/40=0.025£- the depreciation cost per mile

b)0.025*55000= 1375- the decreasing of the price

5200-1375=3825£- the book value of the car after it has driven 55000 miles

Select all that apply please!

Answers

Answer:

x= –4/5 , x= 2

Step-by-step explanation:

5x²-6x-14=-6

5x² –6x –14 +6=0

5x²–6x –8=0

(5x+4)(x-2)=0

x=–4/5

x=2

Hi! I'm happy to help!

To solve this, we simply have to replace x with the given values.

First, we have -14, let's apply that:

(5·(-14²))-(6·(-14))-14=

Now, let's solve (using the order of operations):

(5·(-14²))-(6·(-14))-14=

(5·196)-(6·(-14))-14=

980-(6·(-14))-14=

980-(-84)-14=

980+84-14=

1064-14=

1050=

1050≠-6

Option 1 is incorrect.

Next, let's substitute 14 for x:

(5·14²)-(6·14)-14=

Now, let's solve:

(5·14²)-(6·14)-14=

(5·196)-(6·14)-14=

980-(6·14)-14=

980-84-14=

896-14=

880=

880≠-6

Option 2 is incorrect.

Now, let's substitute -7 for x:

(5·(-7²))-(6·(-7))-14=

Now, let's solve:

(5·(-7²))-(6·(-7))-14=

(5·49)-(6·(-7))-14=

245-(6·(-7))-14=

245-(-42)-14=

245+42-14=

287-14=

273=

273≠-6

Option 3 is incorrect.

Now, let's substitute 7 for x:

(5·7²)-(6·7)-14=

Now, let's solve:

(5·49)-(6·7)-14=

245-(6·7)-14=

245-42-14=

203-14=

189=

189≠-6

Option 4 is incorrect.

Now, let's substitute -2 for x, and solve:

(5·(-2²))-(6·(-2))-14=

(5·4)-(6·(-2))-14=

20-(6·(-2))-14=

20-(-12)-14=

20+12-14=

32-14=

18=

18≠-6

Option 5 is incorrect.

Now, let's substitute 2 for x and solve:

(5·2²)-(6·2)-14=

(5·4)-(6·2)-14=

20-(6·2)-14=

20-12-14=

8-14=

-6=

-6=-6

Option 6 is correct.

Now, let's substitute -1 for x and solve:

(5·(-1²))-(6·(-1))-14=

(5·1)-(6·(-1))-14=

5-(6·(-1))-14=

5-(-6)-14=

5+6-14=

11-14=

-3=

-3≠-6

Option 7 is incorrect.

Now, let's substitute 1 for x and solve:

(5·1²)-(6·1)-14=

5-(6·1)-14=

5-6-14=

-1-14=

-15=

-15≠-6

Option 8 is incorrect.

Now, let's substitute -4/5 for x and solve:

(5·(-4/5²))-(6·(-4/5))-14=

(5·0.64)-(6·(-4/5))-14=

3.2-(6·(-4/5))-14=

3.2-(-4.8)-14=

3.2+4.8-14=

8-14=

-6=

-6=-6

Option 9 is correct.

Now let's substitute 4/5 for x and solve:

(5·4/5²)-(6·4/5)-14=

(5·0.64)-(6·4/5)-14=

3.2-(6·4/5)-14=

3.2-4.8-14=

-1.6-14

-15.6

-15.6≠-6

Option 10 is incorrect.

To summarize, you should pick option 6, and option 9.

I hope this was helpful, keep learning! :D

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