The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches. Find the length of each side of the base.
A) 15 in.
B) 14 in.
C) 7.5 in.
D) 3 in

Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

Answer:

Step-by-step explanation:

take x as reference angle

using tan rule

tan x=opposite/adjacent

tan x=9/5

tan x=1.8

x=tan 61 degree

x=61 degree

for remaining angle

remaining angle+90+61=180 degree(being sum of interior angle of a triangle)

remaining angle=180-151

remaining angle=29 degree

Answer:

27°

Step-by-step explanation:

The two lines are parallel, causing them to be equal

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

0.27

Step-by-step explanation:

[tex]1)\ A_1 = \frac{h(a+b)}{2} = \frac{6(12+18)}{2} = \frac{6*30}{2} = \frac{180}{2} = 90[/tex]

[tex]2)\ A_2 = 14 * 24 = 336[/tex]

[tex]3)\ P = \frac{A_1}{A_2} = \frac{90}{336} = 27%[/tex]

Answer: 0 is y intercept and 6 is x intercept.

Step-by-step explanation:

Answer:

x²

Step-by-step explanation:

-2x²- (-3x²) = x²

_______

Answer:

x = 4

Step-by-step explanation:

I took the test and it was right :)

Answer:

gvaaliyar steshan steshan

Answer:

It is 6,4 or 4,6

Step-by-step explanation:

Answer:

3/25 for type B, 1/25 for type AB, and 4/25 for both

Step-by-step explanation:

O goes to 22

A goes to 20

B goes to 6

AB goes to 2

22+20+6+2 = 50, so (number of people with a certain blood type)/50 = the answers for each question.

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

Answer:

5×5×6 = 150 centimeters3

Step-by-step explanation:

Answer:

Make a graph similar to this picture:

Answer:

make a graph one side being for the -3,-2,-1 and the other for the -2<x<-1?

Step-by-step explanation:

Answer:

The perimeter of the court is 88 m

Step-by-step explanation:

To find the perimeter:  (27 x 2)+(17 x 2)     length*2 + width*2

Hope this helps :)

=====================================================

We'll use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

Let's convert the first mixed number to an improper fraction

a & b/c = (a*c + b)/c

3 & 3/4 = (3*4 + 3)/4

3 & 3/4 = 15/4

Repeat the same idea for the second mixed number as well

a & b/c = (a*c + b)/c

3 & 1/3 = (3*3 + 1)/3

3 & 1/3 = 10/3

--------------------

In short we have

Doing these conversions is useful to be able to multiply the values like so:

(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2

Now use your calculator to find that 25/2 = 12.5

We can then say....

12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2

The answer is choice F) 12 & 1/2 square yards.

Answer:

A. 23/30

Step-by-step explanation:

2/3+1/10

Find the LCM (Least Common Multiple):

20/30+3/30 = 23/30

Answer:

A

Step-by-step explanation:

you put 2/3 = 20/30 because you add a 0 2 * 10 is 20 and so on. same for 1/10 multiply nand d by 3= 3/30 so 20/30+3/30= 23/30

It is to true!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

[tex]\small\mathfrak\red{here \: is \: your \: solution...} \\ \\ \small\mathcal\purple{volume \: of \: hemisphere \: = (2 \div 3)\pi \: r ^{3 \: } .} \\ \\ \small\mathfrak\purple{radius \: of \: hemisphere \: = 6 \: cm.} \\ \\ \small\mathfrak\purple{volume \: of \: hemisphere \: = (2 \div 3)(22 \div7 ) \times 6 {}^{3} .} \\ \\ \small\mathfrak\purple{volume \: = 452.16 \: cm {}^{3} .} \\ \\ \huge\mathfrak\pink{hope \: it \: helps.}[/tex]

Answer: b

Step-by-step explanation:

Answer:

36in for the 1st one

Step-by-step explanation:

Answer:

36 in- mild

Hope this helps!!

Answer:

28 of the student do not snowboard

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

in order to understand which triangle would lie on the given line we should figure out the slope of the given line first

remember that,

[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]

from the graph let's take two points where the line passes i.e (0,0) and (4,6)

substitute:

[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]

simplify substraction:

[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]

reduce fraction:

[tex] \displaystyle m = \frac{3}{ 2} [/tex]

now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle

[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]

reduce fraction:

[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]

since the tan ratio of the third triangle equal to the slope of the line

hence, our answer is c

Answer:

X + 5 =  X + 5

Step-by-step explanation:

The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.

Answer:

30-2t^2+16t/t

Step-by-step explanation:

Answer: B. -6, -4, -2, 0, 2

Step-by-step explanation: Use the attachment to help you with your answer.

Anyways, have an amazing day!