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ra1l [238]
1 year ago
8

7 squared + x squared = 14 squared

Mathematics
2 answers:
slavikrds [6]1 year ago
3 0

Answer:

x = 12.1243557....

Step-by-step explanation:

14² = 7² + x²

Isolate x.

x² = 14² - 7²

x² = 196 - 49 = 147

√x² = √147

x = √147 = 12.1243557....

Tasya [4]1 year ago
3 0

Answer:

12.1 rounded to the nearest tenth.

Step-by-step explanation:

7^{2} +x^{2} = 14^{2}       7^{2} means 7x7 = 49; 14^{2} means 14x14 = 196

49 + x^{2} = 196       Subtract 49 from both sides of the equation

x^{2} = 147

\sqrt{x^{2} } =\sqrt{147}

x = \sqrt{147}      This would be the exact answer.

12.1   is your answer rounded to the nearest tenth

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Complete the equation of the line through (-8,-2) (-4,6)<br> Use exact numbers.
kykrilka [37]

Answer:

y = 2x + 14

Step-by-step explanation:

First, you have to find the slope by using

y2-y1

x2-x1

In other words,

-2-6

-8+4

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

y-y1=m(x-x1)

Remember that m is the slope.

y+2=2(x+8)

Distribute the slope to the parenthesis

y+2=2x+16

Isolate the y variable

y=2x2x+14

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4 0
4 years ago
Let triangle $DEF$ be equilateral, where the side length is $3.$ A point $G$ is chosen at random inside the triangle. Find the p
noname [10]

Answer:

13.43%

Step-by-step explanation:

see the attached figure to better understand the problem

we know that  

The probability that a point selected a random in triangle has distance from D to 1 or less is given by the area of the sector divided by the area of triangle

step 1

Find the area of sector

A_1=\frac{60}{360}\pi r^{2}

we have

r=1\ unit

substitute

A_1=\frac{60}{360}\pi (1)^{2}

A_1=\frac{\pi}{6}\ unit^{2}

step 2

Find the area of triangle

Applying the law of sines

The area of an equilateral triangle is equal

A_2=\frac{1}{2}b^2sin(60^o)

we have

b=3\ units\\\\sin(60^o)=\frac{\sqrt{3}}{2}

A_2=\frac{1}{2}(3)^2(\frac{\sqrt{3}}{2})

A_2=9\frac{\sqrt{3}}{4}\ units^2

step 3

Find the probability

P=\frac{A_1}{A_2}

substitute

P=\frac{\pi}{6}:9\frac{\sqrt{3}}{4}

P=\frac{4\pi}{54\sqrt{3}}

assume

\pi =3.14

P=\frac{4(3.14)}{54\sqrt{3}}=0.1343

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P=0.1343*100=13.43\%

8 0
4 years ago
Geometry - Will give 5 stars + Thanks!
Fynjy0 [20]

Answer:

<h2>x = 3 and y = 4</h2>

Step-by-step explanation:

We know:

The diagonals in a parallelogram divide by halves.

Therefore KG = UG and DG = CG.

We have

KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2

Substitute:

5y - 8 = 3y          <em>add 8 to both sides</em>

5y = 3y + 8      <em>subtract 3y from both sides</em>

2y = 8      <em>divide both sides by 2</em>

y = 4

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

4x - 7 = x + 2           <em>add 7 to both sides</em>

4x = x + 9            <em>subtract x from both sides</em>

3x = 9     <em>divide both sides by 3</em>

x = 3

5 0
4 years ago
Mrs. Reynold’s sprinkle system has 9 stations that water all the parts of her front and back lawn. Each station runs for an equa
NeTakaya

Answer:

108 minutes

Step-by-step explanation:

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4 0
3 years ago
(-2)^-3 without exponent
Basile [38]

Answer:

-1/8

Step-by-step explanation:

(-2)^-3 \\=\frac{-1}{2}^{3}\\=\frac{-1}{8}

7 0
4 years ago
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