solve the volume for the triangular prism

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

Answer:

It would be $13 as the original bill

But the correcy answer is D  

Step-by-step explanation:

Answer:

Asuming this is a triangle: C = 32.5

Step-by-step explanation:

Asuming this is a triangle:

Use the pythagorean Therom:

[tex]A^2 + B^2 = C^2[/tex]

[tex]26^2 + 19.5^2 = C^2[/tex]

[tex]676+380.25=1056.25[/tex]

[tex]C= \sqrt{1056.25}[/tex]

[tex]C= 32.5[/tex]

Answer:

Below!

Step-by-step explanation:

Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).

~Graph attached

Determining the y-intercept of the line:

Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.

Determining the slope of the line:

To determine the slope of the line, pick any two points that is on the line.

Using the slope formula (y₂ - y₁/x₂ - x₁):

∴ Any number divided by 0 is undefined

Thus, the slope and the y-intercept are undefined.

So

line will be parallel to y axis

no y intercept as parallel to y axis means it will never intercept y axis

Graph attached

Answer:

option D is a correct answer AA postulate

The two triangles are similar by the AA postulate

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔEFG

Let the second triangle be ΔHJK

Now , the corresponding angles are

∠E = 25° = ∠H

So , the two angles are similar

And , the triangles are similar by the AA postulate

Hence , they are similar triangles

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Answer:

A = 120 cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is:

A = 2(area of the top) + 2(area of the front) + 2(area of one side)

Substituting the values:

A = 2(20) + 2(16) + 2(24)

First, distributing:

A = 40 + 32 + 48

Then adding, giving your final answer

A = 120 cm^2

Hope this helps you :)

Answer:

322, 468, 35, 48, 28.5

Step-by-step explanation:

23 times 14 is 322, 18 times 26, 5 times 7, 8 times 6, 3 times 9.5

Answer:

23x14=322ft

18x28=468ft

5x7=35ft

8x6=48ft

3x9.5=28.5

Step-by-step explanation:

hejdbsisugebe

Answer:

$155

Step-by-step explanation:

Hope it helps

If we weren't given the values of the variables, it would be impossible to simplify the expression any further.

Luckily, we are given the value of each of the three variables.

The value of a is 1 :

1bc

or

bc

The value of b = 3 :

3c

Finally, the value of c is 7 :

3*7

21

21

Step-by-step explanation:

[tex]9 \\ {x}^{2} = 225 \\ x = 15 \\ .......... \\ 10 \\ {x}^{2} = 676 \\ x = 26[/tex]

Answer:

The common multiple is 18

Step-by-step explanation:

Because 9*2=18 and 18*1=18

Answer:

Simply 18.

Step-by-step explanation:

18 = 2*9

Answer:

[tex]-\frac{1}{21}[/tex]

Step-by-step explanation:

The opposite of -2\3 is 2\3

-

-5\7 + 2\3

Least common multiple of 7 and 3 is 21. Convert -5\7 and 2\3 to fractions with denominator 21.

-

-15\21 + 14\21

Sinse -15\21 and 14\21  have the same denominator, add them by adding their numerators.

[tex]\frac{-15+14}{21}[/tex]

-

Add −15 and 14 to get −1.

-1\21

Answer:

D

Step-by-step explanation:

It goes 2 down. The ' mark shows that it is the new one

Answer:

[tex]2\frac{5}{8}[/tex], or [tex]\frac{21}{8}[/tex]

Explanation:

Use the Keep Change Flip method.  Change the sign to multiplication and flip the second fraction. [tex]\frac{3}{8}[/tex] × [tex]\frac{7}{1}[/tex]

Multiply the numerators and the denominators separatley.  [tex]\frac{3}{8}[/tex]×[tex]\frac{7}{1}\\[/tex]=[tex]\frac{21}{8}[/tex]

This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).  [tex]\frac{21}{8} =2\frac{5}{8}[/tex]

Answer:

6cm^2

Step-by-step explanation:

right triangle equation:

bh/2

so

3*4=12/2=6

Answer:

12 Square Units

Step-by-step explanation:

the right triangle: 4 x 3 = 12 12/2 = 6

the left triangle: 4 x 3 = 12  12/2 = 6

Altogether: 6 + 6 = 12

Answer: C

Step-by-step explanation:

The 36 degree angle is inscribed in the unknown arc, so the arc measures 36(2)=72 degrees.

Answer:

Exterior angle.

Step-by-step explanation:

by my analysis

if hey said triangle XYZ

it should mean each exterior angle is named either X, Y, or Z.

so angle Y should be an exterior angle (outside angle).

but the angle formed by X and Z will be an interior angle (inside angle).

Hope this helps .

Answer:

The answer is C: Remote Interior Angle

Step-by-step explanation:

Took the Test.

Answer:

use area

Step-by-step explanation:

we can't use volume here since we are dealing with the outside part only

so area of a cylinder is =πr²h

our r represents the radius which is diameter/2

r=7.5/2

=3.75m

our h represents height which is 12.5m

so put in our formula

area = π×(3.75)²×(12.5)

=552.2330836m³

that's it dear

give my answer a brainliest

A tree struck by lighting broke at a point 13 ft above the ground as shown. What was the height of the tree to the nearest tenth of a foot?

13² + 38² = c², so 169 + 1444 = c², 1613 = c², and 40.2 ≈ c.

Add this length to the height of the bottom tree: 40.2 + 13 = 53.2 ft.

The height of the tree was about 53.2 ft.

Explanation:

Solved using pythagoras theorem.

Answer:

the answer is 2.7litres

Answer: 2.7litres

Step-by-step explanation: 1000ml makes 1litre

2700÷1000=2.7

Answer:

4:11

Step-by-step explanation:

let's say there 15 students, 10 of them study a language. Of the 10, 4 (the 2/5) study french, so of the 15 students 4 study french, making it 4:11.

Answer:

247.42 m^2 to the nearest hundredth

Step-by-step explanation:

The surfaces area of the side of the cylinder = 2πrh

= 2π(1)(6)

= 12π m^2.

Now we need the surface area of the cube minus the 2 circles at each end of the  cylinder

= 6^3 - 2πr^2

= 216 - 2π

So the required surface area

=  12π + 216 - 2π

= 217 + 10π

= 247.4159 m^2

[tex]4\sqrt 3 - 7 \sqrt 3\\\\=(4-7) \sqrt 3\\\\=-3\sqrt 3[/tex]

Answer:

x = 5

Step-by-step explanation:

- 2 + x = 3

x = 3 + 2

x = 5

______

Hope it helps ⚜

Answer

- 2 + x = 3

5 = x

Answer:

104π cm²

Step-by-step explanation:

Surface Area of cylinder

Given (from the figure)

Solving

Answer:

-2592

Step-by-step explanation:

this doesn't seem right but its what i got

Answer:

4 units to the right on the x- axis & 20 units up on the y-axis

Step-by-step explanation:

X-Axis= horizontal-------

Y-Axis= Vertical  I I I

The first ordered pair is 4 which goes on the X axis (left to right) left is negative right is positive.

next is 20 on the y axis (up and down) . the y axis is like an elevator up is positive and down is negative

Answer:

terms are like 2x 2x^2 3x ect. polynomials with a degree of 5 is where the term that has the highest exponent is the degree

Step-by-step explanation:

^

Answer:

See below

Step-by-step explanation:

27 ^1/5      is the radical sign with a 5 in the V portion   and   27   under the horizontal bar portion       ====>   the 1/5th root of 27

Answer:

⁵ 27

i dont know how to get the line think

Answer: Moe is wrong.

Step-by-step explanation:

Moe is incorrect because 25 divided by 5 equals 5 (constant of proportionality) but 12 divided by 3 does not equal 5 (it equals 4)