Ask question

Ask question

All categories

3 years ago

15

A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest

tenth. HELP PLEASE!!

1 answer:

maks197457 [2]3 years ago

7 0

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of $\frac{360} 5 = 72°$ . Each of the other angle is $\frac{180-72} {2} =54°$ . From there, you can calculate the height of each base triangle as in $\frac {h} 7 = tan54$ or 9.634...cm.

Your volume will be $5 * \frac {(14 * 9.634)} 2 * 12 = 4046.56 cm^3$

You might be interested in

Find the distance between two points<br> (2, -3) and (2,4).

Damm [24]

Answer:

The distance between the two points is 7 units

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2, -3) and (2,4)

substitute the values in the formula

$d=\sqrt{(4+3)^{2}+(2-2)^{2}}$

$d=\sqrt{(7)^{2}+(0)^{2}}$

$d=7\ units$

6 0

3 years ago

Reporting Category: Geometry Standard: 10 G.3 Recognize and solve problems involving angles formed by transversals of coplanar l

Alexxx [7]

The measure in degrees would be 15<span />

4 0

3 years ago

By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?

lana [24]

-20% or a 20% decrease.

3 0

3 years ago

How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10

Ira Lisetskai [31]

Answer:

The system has one solution

Step-by-step explanation:

we have the system of equations

$y=\frac{2}{3}x+2$ ----> equation A

$6x-4y=-10$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$6x-4(\frac{2}{3}x+2)=-10$

$6x-\frac{8}{3}x-8=-10$

Solve for x

Multiply by 3 both sides to remove the fraction

$18x-8x-24=-30$

Combine like terms

$10x=-30+24$

$10x=-6$

$x=-\frac{6}{10}$

Simplify

$x=-\frac{3}{5}$

<em>Find the value of y</em>

$y=\frac{2}{3}(-\frac{3}{5})+2$

$y=-\frac{6}{15}+2$

$y=\frac{24}{15}$

Simplify

$y=\frac{8}{5}$

The solution of the system is the point $(-\frac{3}{5},\frac{8}{5})$

therefore

The system has one solution

4 0

3 years ago

Read 2 more answers

Plz help i will mark brainliest

Stels [109]

Answer:

43

Step-by-step explanation:

5 0

3 years ago