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2 years ago

A right triangle has the following measures. a = 3 and b = 4. what is the length of side c?

Mathematics

1 answer:

pochemuha2 years ago

4 0

Answer:

Step-by-step explanation:

This is Pythagorean triple 3-4-5 or you can verify by plugging into Pythagorean Theorem:

$3^2 + 4^2 = c^2$

c = 5

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GarryVolchara [31]

Answer:

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Step-by-step explanation:

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2 years ago

Help its due in 15 mins

Anton [14]

Answer:

$\sqrt{44} = 2\sqrt{11}$

Step-by-step explanation:

Apply pythagorean theorem:

ABD is a right triangle with angle ADB = 90

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AD = $\sqrt{12^{2}-10^{2} }$ = $\sqrt{44} = 2\sqrt{11}$

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2 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

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2 years ago

Please help in Math!? What value of y makes the equation true?

Zepler [3.9K]

$\frac{-7}{12} = \frac{y}{-36}$

First, simplify $\frac{y}{-36}$ to $- \frac{y}{36}$ / Your problem should look like: $- \frac{7}{12} = -\frac{y}{36}$
Second, multiply both sides by 36. / Your problem should look like: $-21=-y$
Third, multiply both sides by -1. / Your problem should look like: $21 = y$
Fourth, switch your sides. / Your problem should look like: $y = 21$

Answer: C) 21

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3 years ago

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omeli [17]

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2 years ago