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natka813 [3]
3 years ago
9

I need help with this math problem

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

x = 15

Step-by-step explanation:

The right angle is formed at at the tangent line and the radius

So to solve for the missing angle we can solve for x using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared

Knowing this we can create an equation to solve for x

12^2+9^2=x^2

now we solve for x

12^2=144\\9^2=81\\81+144=225\\225=x^2\\\sqrt{225} =15\\\sqrt{x^2} =x\\x=15

So we can conclude that x = 15

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A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.
Vera_Pavlovna [14]
<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

V=\frac{1}{6}s^3

<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

V = \frac{1}{3} a^2h

Where, "h" is the height of pyramid

"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

Therefore,

a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

h = \frac{1}{2} \times s\\\\h = \frac{s}{2}

<em><u>Thus the volume of pyramid becomes:</u></em>

V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}

\boxed{V=\frac{1}{6}s^3}

Thus the  formula  represents the volume of the pyramid is \frac{s^3}{6}

5 0
3 years ago
What two numbers add up to 18 and multiply to 80
mestny [16]

Answer:

8 and 10

Step-by-step explanation:

First, let's look at the factors of 80.

1 • 80 = 80

2 • 40 = 80

4 • 20 = 80

5 • 16 = 80

8 • 10 = 80

Look at each pair and evaluate their sum.

1 • 80 = 80

  • 1 + 80 = 81

2 • 40 = 80

  • 2 + 40 = 42

4 • 20 = 80

  • 4 + 20 = 24

5 • 16 = 80

  • 5 + 16 = 21

8 • 10 = 80

  • 8 + 10 = 18

Our last pairing multiplies to 80 and adds up to 18. Therefore, your answer is 8 & 10.

Hope this helps!

4 0
2 years ago
What can I multiply 4/3 by to make it 1⅓​, jk what's up
Simora [160]

1.<u>3 </u>x 1= 1.<u>3 </u>hope this helped

7 0
3 years ago
You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk
Rina8888 [55]

Answer:

Part a) y=18.50x+100

Part b) The total cost is \$220.25

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

m=\$18.50\ per\ hour

The y-intercept or initial value is equal to

b=\$100

substitute

y=18.50x+100

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

y=18.50(6.5)+100\\y=\$220.25

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0
3 years ago
Help!!!! No Bad Answers Will Give brainiest!!
Alborosie

The domain the given graph is :

  • -12 <u><</u> x <u><</u> 13
6 0
2 years ago
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