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2 years ago

Which set of side lengths create a right triangle ?

Mathematics

1 answer:

I am Lyosha [343]2 years ago

3 0

Answer:

(8, 15 and 17)

Step-by-step explanation:

$\sqrt{10^{2} +28^{2} } \neq 29$

$\sqrt{6^{2} +8^{2} } \neq 13$

$\sqrt{7^{2} +12^{2} } \neq 14$

$\sqrt{8^{2} +15^{2} } =17$

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Write an equation that represents this comparison sentence. 24 is 4 times as many as 6

Nana76 [90]

24 is 4 times as many as 6

6*4=24

3 0

2 years ago

Please Answer ASAP According to the table, which ordered pair is a local maximum of the function, f(x)? (0, 64) (3, –35) (5, 189

Katarina [22]

The ordered pair that represents a maximum is (5,189)

6 0

2 years ago

Conti. 7-10 thanks a lot! unhelpful answers will be deleted.

Marysya12 [62]

Answers:

10. b. $\displaystyle 13$

9. b. $\displaystyle 20$

8. a. $\displaystyle 33$

7. a. $\displaystyle 25°$

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

$\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}$

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$

I am joyous to assist you at any time.

3 0

1 year ago

A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount

kkurt [141]

Answer:

The expected payout of the game is $230.46.

Step-by-step explanation:

The given table is

Payout Amount : $160 $4400 $145000

Probability : 0.146 0.024 0.0007

We need to find the expected payout of the game.

The formula for expected payout is

$\text{Expected payout}=\sum n_iP(x_i)$

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.

Using the above formula we get

$\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007$

$\text{Expected payout}=23.36+105.6+101.5$

$\text{Expected payout}=230.46$

Therefore the expected payout of the game is $230.46.

6 0

2 years ago

What is the distance of 1.5 to -2 on a number line and how can you show it

user100 [1]

Answer:

The distance is 3.5

Step-by-step explanation:

5 0

2 years ago