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2 years ago

Please ASAP answer this question:)

Mathematics

2 answers:

Darina [25.2K]2 years ago

8 0

Answer:

17 in

Step-by-step explanation:

H²= 8²+15²

H²= 64+225

H²=289

H= √289

H= 17

tankabanditka [31]2 years ago

5 0

Answer:

17 in. (option C)

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Set the hypotenuse as x.

8² + 15² = x²

Simplify.

x² = 289

Remove the square from both sides.

x = √289 = 17

Thus, the answer is C, 17.

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Please help me <br><br>If 180°<α<270°, cos⁡ α=−8/17, what is sin -α?

rewona [7]

Starting from the fundamental trigonometric equation, we have

$\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}$

Since $180$ , we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

$\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}$

Plugging the numbers, we have

$\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}$

Now, just recall that

$\sin(-\alpha)=-\sin(\alpha)$

to deduce

$\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}$

6 0

2 years ago

Read 2 more answers

Jordan places two boards end to end to make one shelf. The first board is 47-100 meter long.The second board is 5-10 meter long.

puteri [66]

The fraction 5/10 is the same as 50/100 because they are equivalent. It will take 10 group of 10 to get to the denominator 100, so it will take 10 groups of 5 in the numerator to make it equal.

The answer is 50/100.

4 0

3 years ago

In a carnival game, you roll 2 dice. if the sum is 6, you receive a $5 payoff. if the sum is 12, you receive a $9 payoff. otherw

Ray Of Light [21]

P(sum = 6) = 5/36 ; P(sum = 12) = 1/36

expected payoff = (5/36)(5) + (1/36)(9) = $0.94

3 0

2 years ago

Construct a quadrilateral abcd in which. ab=4 cm and ad=5cm ,Angle A=60°.Angle B=90°and Angle D=90°

Andrej [43]

Answer:

Step-by-step explanation:

3 0

2 years ago

Please help me with this

e-lub [12.9K]

Answer:

7. 5 $\frac{5}{8}$ pizza

8. B

9. 11 $\frac{1}{5}$ inches

10. -12

11. $\frac{3}{20}$

12. 4

Step-by-step explanation:

7. 3 $\frac{1}{2} \\$ + 2 $\frac{1}{8}$

make them mixed fractions: $\frac{7}{2}$ + $\frac{17}{8}$

get a common denominator by multiplying $\frac{7}{2}$ by 4: $\frac{28}{8}$ + $\frac{17}{8}$

add the numerators: $\frac{45}{8}$

simplify the fraction by dividing 45 by 8: 5 $\frac{5}{8}$

8. 3 x 6 = 18

5 x 6 = 30

7 x 6 = 42

9 x 6 = 54

therefore, y = 6x

9. 5:7 is similar to 8:L

divide 8 by 5: 1 $\frac{3}{5}$

multiply 7 by 1 $\frac{3}{5}$ : 11 $\frac{1}{5}$

L = 11 $\frac{1}{5}$ inches

10. 5 - 2x = 29

subtract 5 from each side: -2x = 24

divide each side by -2: x = -12

11. fruit = 15%

15% = 15/100

simplify by dividing by 5: $\frac{3}{20}$

12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.

4 0

2 years ago