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3 years ago

Help I don't understand this one either I bed help show your work and answer

Mathematics

1 answer:

Firlakuza [10]3 years ago

6 0

Well well we find the area of the triangle first:
area = 1/2 * base * height
area = 1/2 * 8 1/4 * 5 3/4
area = 1/2 * 33/4 * 23/4
area = 1/2 * 759/16
area = 759 / 32
area = 23 23/32

now if we multiply the length of the triangles we get volume because the volume of the prism is really just the sum of the areas of all the triangles that make up it's length. So:
volume = 23 23/32 * 12
volume = 276 276/32
276/ 32 = 8 5/8
volume = 284 5/8

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From an airplane flying over the ocean, the angle of depression to a submarine lying under the surface if 24 degrees 10 minutes.

forsale [732]

I think is 10 m/ s per sec

4 0

3 years ago

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ICE Princess25 [194]

Answer:

Part a) The area of the figure is $\frac{9}{2}(4+\pi )\ cm^{2}$

Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

<u>Find the area of the figure ABC</u>

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

$A1=\frac{1}{2}*6*6=18\ cm^{2}$

<u>Find the area of the semicircle</u>

The area of the semicircle is equal to

$A2=\pi r^{2}/2$

we have that

$r=6/2=3\ cm$

substitute

$A2=\pi (3)^{2}/2$

$A2=(9/2) \pi\ cm^{2}$

The area of the figure is equal to

$18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}$

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

5 0

3 years ago

Please help me I'm so confused

jenyasd209 [6]

First, in order to know the surface area, you need to know the length and width as well, not just the hight.

6 0

2 years ago

Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]

Nimfa-mama [501]

Answer:

C. 5 by 3 by 2

Step-by-step explanation:

The surface area of a rectangular prism is given by:

$2(lw + l h + wh)$

If the length of the prism is

$l = 5$

the width of the prism is

$w = 3$

and the height of the prism is:

$h = 2$

The surface area becomes:

$2(5 \times 3 + 5 \times 2 + 3 \times 2)$

Multiply within the parenthesis:

$2(15 + 10+ 6)$

Add:

$2(31)$

$= 62$

square units.

Hence the correct choice is C.

8 0

3 years ago

Read 2 more answers

How to resolve this equation1/5(x-8)= x-16

Mashcka [7]

1/5 (x - 8) = x - 16...distribute thru the parenthesis
1/5x - 8/5 = x - 16 ...multiply everything by common denominator of 5
x - 8 = 5x - 80 ...subtract 5x from both sides
x - 5x - 8 = - 80 ...add 8 to both sides
x - 5x = -80 + 8 ...combine like terms
-4x = - 72 ...divide both sides by -4
x = -72/-4
x = 18

3 0

4 years ago