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My name is Ann [436]
3 years ago
6

This figure is made up of two rectangular prisms. What is the volume of the figure?

Mathematics
2 answers:
Gelneren [198K]3 years ago
7 0
You’re answer should be 1,134^3 because if you do the formula for volume (which is lxWxH) and then you add the shapes volumes you get 1,134^3
Arte-miy333 [17]3 years ago
5 0

Answer:

1,134 cubic inches

Step-by-step explanation:

How to find volume = width x length x height

Divide the figure into 2 rectangular prisms; one on top, and one on the bottom.

The measurements of the rectangular prism on the top is 12, 10, and 7

12x10x7 = 840 cubic inches

The measurements of the rectangular prism on the bottom is 21, 7, and 2

21x7x2 = 294 cubic inches

Add them together

840+294 = <u>1,134 cubic inches</u>

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Simplify. √49 14 12 7 9
LiRa [457]

Answer:

7

or -7

Step-by-step explanation:

sqrt(49)

What number multiplied by itself = 49

7*7 = 49

-7*-7 = 49

8 0
3 years ago
A figure is composed of a rectangle and a right triangle. What is the area of the figure?
strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h

We substitute the values to obtain;

Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm

Area=\frac{1}{2}(21.6cm)\times 6cm

Area=64.8cm^2

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

C=2\pi r

where r=3.5ft is the radius of the circular table cloth.

We substitute this value and \pi=3.14 into the formula to get;

C=2(3.14)(3.5)ft

C=21.98ft

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

C=\pi r

where r=12.5cm is the radius of the semicircle.

C=3.14\times 12.5cm

C=39.25cm

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh

Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24

Area=345.3125+300

Area=645.3125cm^2

Area\approx645cm^2

QUESTION 6

The area of the parallelogram is given by the formula;

A=bh

From the diagram, b=y\:in.,h=3in..

Given, A=23.7 inches squared.

We substitute the values to obtain;

23.7=3y

y=\frac{23.7}{3}

y=7.9in.

QUESTION 7

The area of a rectangle is given by the formula;

Area=l\times b

The area of the bigger rectangle =9\times15=135in^2

The area of the smaller rectangle =8\times 13=104in^2

The area of the  shaded region =135-104=31in^2

5 0
3 years ago
Food bill: $36 Tip: 20% Sales tax (on food only) 6%
olasank [31]

Answer: To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Solve the following questions and check your results 3) t = 3/4 (+-2)​
balu736 [363]
The answer would be: t= -5/4
3 0
3 years ago
The graph shows that is translated horizontally and vertically to create the function .
yarga [219]

According to the function transformations, the value of h is -2

<h3>How to determine the value of h?</h3>

The complete question is in the attachment

The functions are given as:

f(x) = (2.5)^x

g(x) = (2.5)^{x-h

From the question, we understand that the function f(x) is translated to the left to get g(x)

From the attached graph, we can see that the function h(x) is 2 units to the left of f(x).

This transformation is represented by:

(x, y) => (x + 2, y)

So, we have:

x - h = x + 2

Evaluate the like terms

h = -2

Hence, the value of h is -2

Read more about function transformations at:

brainly.com/question/3381225

#SPJ1

3 0
1 year ago
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