Math Practices and Problem Sol
17. Number Sense Using three different
numerators, write an equation in which
three fractions, when added, have a
sum of 1.

The expression that represents the volume of the composite figure is (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

The volume of the composite figure will be the sum of the volume of the prism and the volume of the pyramid.

The Volume of the prism = Area of the base * height of the prism

Area of the base = 1/2*4.4 *2

Height of the prism =5

So, the Volume of the prism =  (1/2)* (4.4)*(2)*(5)

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid =  1/2*4.4 *2

Height of the pyramid =3.9

So, the volume of the pyramid = (1/3)* (1/2)*(4.4)*(2)*(3.9)

So, total volume =  (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

Hence, the expression that represents the volume of the composite figure is (1/2)* (4.4)*(2)*(5) + (1/3)* (1/2)*(4.4)*(2)*(3.9)

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Answer:

D

It's D for those who want a fast answer!!

Step-by-step explanation:

Answer:

is this a question?

Step-by-step explanation:

Answer:

B) 298

Step-by-step explanation:

5,066 ÷ 17 = 298 books

Answer:

the value of x can be found as 10

Step-by-step explanation:

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

1900

Step-by-step explanation:

i took the est

Answer:

B

Step-by-step explanation:

Trial and error into (ABOUT/APPROXIMATELY)

y=12000(1.04)^x

5 red, 4 yellow, 9 blue, 2 pink, 4 purple

5 + 4 + 9 + 2 + 4 = 24 people

Calculate persons of each color

Total:&

Using the slope concept, it is found that the angle from Matilda to the top of the blast was of 38.66º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the vertical change is of 100 ft, while the horizontal change is of 125 ft, hence:

[tex]\tan{\alpha} = \frac{100}{125}[/tex]

[tex]\alpha = \arctan{\left(\frac{100}{125}\right)}[/tex]

[tex]\alpha = 38.66^\circ[/tex]

The angle from Matilda to the top of the blast was of 38.66º.

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The points on the red arc are points A and B

The measure of the red arc is 75 degrees

From the complete question, we have:

Angle DCE = 75 degrees

By vertical angles theorem,

Angle ACB = Angle DCE = 75 degrees

So, we have:

Angle ACB = 75 degrees

The measure of the red arc is the same as the measure of the angle ACB.

So, we have:

Red arc = 75 degrees

Hence, the measure of the red arc is 75 degrees

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Answer:33,056

Step-by-step explanation:i dont know jut put this answer

Answer:

Step-by-step explanation:

The bodybuilder gains 1.5 each week for 5 weeks.

If the bodybuilder gains 1.5 for 5 weeks, how many pounds did he gain?

1.5 * 5 = 7.5

The amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

a.  Monthly installment

2 1/2 years=30 months

First step

Amount payable=[49,500×(1-.30)] /30 months

Amount payable=(49,500×.70)/30 months

Amount payable=$34,650/30 months

Amount payable=$1,155

Second step

Amount of monthly installment=[$1,155×(1+0.12)

Amount of monthly installment=$1,155×1.12

Amount of monthly installment=$1,293.6

Amount of monthly installment=$1,294 (Approximately)

b. Hire purchase

Hire purchase=$1,155×.12×30 months

Hire purchase=$4,158

Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

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#SPJ1

Answer: 44.85 in decimal and 44 Rem 52

Step-by-step explanation: Check my file for long calculation. You can stop when the remainder is 52 Or continue to divide further with decimal

[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]

Answer:

sooo i think it would be

-infinity > x > infinity

edit:

it will also be

-infinity > y > 64  

i think since y ends at 64 (hightest height above the ground)

Step-by-step explanation:

umm because the graph goes forever? not really sure though since in my college the topics are a little different and they may not teach in yours

The decimal equivalent of 7 half’s is the number in decimal form

The exact decimal equivalent of 7 half’s is 3.5

A decimal number is a number represented by an integer and a fractional part

The number is given as:

7 halves

Express as product

7 * 1/2

Evaluate the product

3.5

Hence, the exact decimal equivalent of 7 half’s is 3.5

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Answer:

484 meters squared

Step-by-step explanation:

Area is Length times Width.

You're dealing with a square meaning all sides are equal.

You simply need to do 22m x 22m = 484m squared

Step by Step Explanation:

Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-

[tex]\sf m=\frac{y_2 - y_1}{x_2 - x_1} [/tex]

where,

x₁ = 2

x₂ = 9

y₁ = 5

y₂ = 8

Therefore putting the values , we get

[tex] \sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\ \\ : \longrightarrow \: \frac{8 - 5}{9 - 2} \\ \\ : \longrightarrow \: \frac{3}{7} [/tex]

Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.

In this exercise we have to calculate the value of the water depth, so we have: d=5.5Cos(12t)+6

A periodic wave is a wave with a repeating continuous pattern that determines its wavelength and frequency

Putting together some information given in the statement we have:

Knowing that the formula will be given by an equation similar to:

[tex]d=acos(bt)+k[/tex]

Where:

The amplitude difference is given by:

[tex]8.75-3.25=5.5\ m[/tex]

The mean depth is:

[tex]k=\dfrac{(3.25+8.75)}{2}=6\ m[/tex]

Then writing the equation with;

[tex]d=acos(bt)+k\\\\d=5.5cos(12t)+6[/tex]

Hence the value of water depth will be d=5.5Cos(12t)+6

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Answer:

50%.

Step-by-step explanation:

please mark me the brainiest

Answer:

Answer:

I cannot answer this question because it is not complete. Please use complete sentences and questions.

The volume of any shape is the amount of space in it.

The volume of the cylinder is 1570 square units

The question is incomplete. Assume the following parameters

Shape = Cylinder

Radius, r = 10

Height, h = 5.

The volume of a cylinder is:

V = πr^2h

So, we have:

V = 3.14 * 10^2 * 5

Evaluate the product

V = 1570

Using the assumed values, the volume of the cylinder is 1570 square units

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Answer:

3,295.4

Step-by-step explanation:

to the nearest tenth is 3,295.4

Answer:

9.6^2=100^2+100^2-2(100)(100)  

theta=cos^-1((9.6^2-100^2-100^2)/(-2(100)(100))  

theta=5.5

Step-by-step explanation:

Answer: B, Randomly select 6 graduate students and 24 undergrad students for the survey.

Step-by-step explanation: This guarantees that each type is proportionately represented in the survey.

Not A because it risks too many or too few graduate students. It is not C because again, it risks too many or too few graduate students. It is not D because each section has about 50 students and the professor only wants 30 in his sample.

Answer:

Step-by-step explanation:

B

Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.

I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).

The traditional interest formula is I = (P)(R)(N).

P = the original amount of money given

R = interest rate

N = the amount of time

I hope this answers your question (and that I understood the question correctly!).

-Toremi