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lutik1710 [3]
3 years ago
11

How do i solve for x?

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

We can see that the the 32 degree angle plus the equation (9x + 4) is equal to 90 degrees.

We know this because the bottom line is a 180 degree angle, and we can see on the other side that it is a right angle.

If we were to turn that into an equation it would like like this:

(9x + 4) + 32 = 90

Now you just have to solve for x.

9x + 4 + 32 = 90

Combine like terms:

9x + 36 = 90

Subtract 36 from both sides

9x = 54

divide both sides by 9

x = 6

and you are left with the answer.

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A dog is on a 5 ft leash staked to the ground. If he can rotate around the stake, forming a circle, what is the area of the gras
Zanzabum

Answer:

78.5 ft²

Step-by-step explanation:

In this situation, the dog's 5 ft leash is the radius of the circle that he forms.

So, the radius is 5.

Use the area formula, A = \pir². Plug in 5 as r, and 3.14 as \pi

A = \pir²

A = (3.14)(5²)

A = (3.14)(25)

A = 78.5

So, the area of the grass he can cover is 78.5 ft²

7 0
2 years ago
The area of a circular sun spot is growing at a rate of 1,200 km2/s.
Tpy6a [65]
A)

\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt}  \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\

B)

\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt}  \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}

8 0
2 years ago
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
wlad13 [49]

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

5 0
2 years ago
(2x-6)(x +11)<br> What is the answer?
ycow [4]

Answer:

2x^2+16x-66

Step-by-step explanation:

Use FOIL (First, Outside, Inside, Last)

(2x-6)(x+11)

F- 2x*x=2x^2

O-2x*11=22x

I--6*x=-6x

L--6*11=-66

2x^2+22x-6x-66

Combine like terms

2x^2+16x-66

5 0
3 years ago
M= i + r ; solve for r
Alex777 [14]

Answer:

m - i = r

Step-by-step explanation:

In this question, you are solving for "r".

Solve:

M= i + r

We have to get "r" by itself, so subtract "i" from both sides.

m - i = r

Since we found what "r" is, we can't solve any further.

m - i = r would be your answer.

7 0
2 years ago
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