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nlexa [21]
3 years ago
7

Find the slope of the line.

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Answer:

-1

Step-by-step explanation:

To find the slope of a line, we can do rise over run, or y/x.

r/r = 1/1 = 1

But as you can see, the line is going down which means it's decreasing, which means that it has a negative slope

slope = -1

Hope this helped a little!

Have a supercalifragilisticexpialidocious day!

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Answer:

113.5

Step-by-step explanation:

R+T= 245.5

R=132

245.5-R=T

245.5-132=113.5

T=113.5

8 0
3 years ago
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1. Hoover Dam spans the Colorado
Alona [7]

BEST estimate of this  amount is 2(10^{7}) . Correct option A. 2 x 10^7 .

<u>Step-by-step explanation:</u>

Here we have , Hoover Dam spans the Colorado  River on the Nevada-Arizona state  line. For its construction, the federal  government purchased 21,670,000  pounds of gates and valves. We need to find BEST estimate of this  amount . Let's find out:

21,670,000  pounds

⇒ 21,670,000  pounds

⇒ 21,670,000

⇒ 2167(10^{4})

⇒ 2.167(10^{3})(10^{4})

⇒ 2.167(10^{3+4})

⇒ 2.167(10^{7})

Now, Rounding of 2.167 we get 2  ,So

⇒ 2(10^{7})

Hence ,  BEST estimate of this  amount is 2(10^{7}) . Correct option A. 2 x 10^7 .

5 0
3 years ago
Given the following right triangle, find cose, sine, tane sececsce, and cote. Do not
IgorLugansk [536]

Step-by-step explanation:

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=4,\ hypotenuse=10

Substitute:

4^2+leg^2=10^2

16+leg^2=100             <em>subtract 16 from both sides</em>

leg^2=84\to leg=\sqrt{84}\\\\leg=\sqrt{(4)(21)}\\\\leg=\sqrt4\cdot\sqrt{21}\\\\leg=2\sqrt{21}

sine=\dfrac{opposite}{hypotenuse}\\\\cosine=\dfrac{adjacent}{hypotenuse}\\\\tangent=\dfrac{opposite}{adjacent}\\\\cotangent=\dfrac{adjacent}{opposite}\\\\secant=\dfrac{hypotenuse}{adjacent}\\\\cosecant=\dfrac{hypotenuse}{opposite}

Substitute:

hypotenuse=10,\ opposite=4,\ adjacent=2\sqrt{21}

\sin\theta=\dfrac{4}{10}=\dfrac{2}{5}\\\\\cos\theta=\dfrac{2\sqrt{21}}{10}=\dfrac{\sqrt{21}}{5}\\\\\tan\theta=\dfrac{4}{2\sqrt{21}}=\dfrac{2}{\sqrt{21}}\cdot\dfrac{\sqrt{21}}{\sqrt{21}}=\dfrac{2\sqrt{21}}{21}\\\\\cot\theta=\dfrac{2\sqrt{21}}{4}=\dfrac{\sqrt{21}}{2}\\\\\sec\theta=\dfrac{10}{2\sqrt{21}}=\dfrac{5}{\sqrt{21}}\cdot\dfrac{\sqrt{21}}{\sqrt{21}}=\dfrac{5\sqrt{21}}{21}\\\\\csc\theta=\dfrac{10}{4}=\dfrac{5}{2}

5 0
3 years ago
Please help me out!!!!!!
mestny [16]

Answer:

Since we knew that the triangles are similar, we have:

19/38 = (x + 7)/(3x + 3)

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3 years ago
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dem82 [27]

Answer:

The area of the sector is  \frac{\pi}{2}\ units^2

Step-by-step explanation:

step 1

Find the area of complete circle

A=\pi r^2

we have

r=3\ units

substitute

A=\pi 3^2\\A=9\pi\ units^2

step 2

Find the area of the sector

we know that

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so

using proportion

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5 0
3 years ago
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