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vova2212 [387]
3 years ago
13

Find the length of the third side of the right triangle

Mathematics
2 answers:
Kruka [31]3 years ago
5 0

Answer:

15

Step-by-step explanation:

Using Pythagorean theorem

17^2 = b^2 + 8^2

17 x 17 = b^2 + 8 x 8

289 = b^2 + 64

Subtract 64 from both sides

289 - 64 = b^2 + 64 - 64

225 = b^2

b^2 = 225

b = square root of 225

b = 15

Maurinko [17]3 years ago
4 0

Answer:

9

Step-by-step explanation:

        2       2

b + 8   = 17

b + 16 = 34

34 - 16 = 18

18 ÷ 2 = 9

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Solve the exponential equation<br> 9^2x = 27
krek1111 [17]
27 = 9^(3/2) 
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so x = 4/3
4 0
3 years ago
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A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

8 0
3 years ago
What is the yield on a corporate bond with a $1000
White raven [17]

The yield on the corporate bond of a face value of $1000 is 7.77%.

What is the percentage discount?

The percentage discount is the discount given on a product as compared to the given discount on 100 rupees.

Given, the face value of the bond is $1000.

Discounted price of the bond is $900.

Therefore, the fixed interest on the bond for that period will be

= $1000 × 7/100 = $70.

Now, the yield on that corporate  bond = 70 × 100/900 % = 7.77% .

Hence, the yield on the corporate bond of a face value of $1000 is 7.77%.

Learn more about percentage discount here:

brainly.com/question/26178186

#SPJ4

5 0
1 year ago
The ideal width of a safety belt strap for a certain automobile is 7 cm. An actual width can vary by at most 0.3 cm. Write an ab
tester [92]
<span>
</span>(7-.3) \leq w \leq (7+.3)&#10;

6.7 \leq w \leq 7.3

w - 7 = -0.3

w = 6.7

So the answer is

<span>C. |w – 7| ≤ 0.3</span>
6 0
3 years ago
Divide 8/12 to find equivalent fraction?
Phantasy [73]
If you divide 8 by 4, it comes to 2
If you divide 12 by 2, it comes to 3
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The Fraction 10/15 is equal to 2/3 because...

If you divide 10 by 5, it comes to 2
If you divide 15 by 5, it comes to 3
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3 years ago
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