A right rectangular prism is shown what is the volume in cubic inches of the prism

Please help by solving with method. Thanks

Xelga [282]

Answer:

(a) AD=6 cm

(b) 66 cm²

(c) 38 cm

Step-by-step explanation:

(a) To get the length of AD, we can use pythagoras on the triangle part. Let's say the dotted line intersects DC at E. Then since AB and DC are parallel, AD is equal to BE. EC = 8 cm simply by subtracting AB from DC (15-7=8).

Then pythagoras says that 8²+BC²=10². So BC = √(100-64) = 6. And since BC=AD, AD is also 6.

(b) Area of the rectangle DEBA is 7*6 = 42. Area of triangle ECB is base times half height: 8*3 = 24. Sum is 42+24 = 66 cm²

(c) Perimeter is 7+10+15+6 = 38 cm. Add all the side lengths.

3 0

3 years ago

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If a=22.3 and B=47°18’ find c (picture provided)

igor_vitrenko [27]

Answer:

d. 32.9

Step-by-step explanation:

To find c, we'll use the Law of Sines that says:

$\frac{a}{sin(A)} = \frac{c}{sin(C)}$

And we'll isolate a to get:

$c = \frac{sin(C) * a}{sin(A)}$

We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 47.3 = 42.7

(converted 47°18' to 47.3)

Then we will plug-in the information we already have

$c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88$

So, let's round it to 32.9 to match the answer number D.

8 0

3 years ago

Whoshand was bigger 0.17 m or 0.165 m

S_A_V [24]

O.17 because it can also be 0.170 witch is still bigger then 0.165

5 0

3 years ago

What is the inverse function f f(x)=radical x +7

Arte-miy333 [17]

Step-by-step explanation:

by switching the places of x and y ans solving for y

4 0

3 years ago

Which of the following statements is logically equivalent to "If I study, then I get better grades"? If I do not study, then I d

saul85 [17]

It would go along with, "if I get better grades, then I study."

3 0

3 years ago

Read 2 more answers

A right rectangular prism is shown what is the volume in cubic inches of the prism￼

A right rectangular prism is shown what is the volume in cubic inches of the prism