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2 years ago

Find side b if side a = 10 inches and side c = 16 inches.Round to the nearest hundredth if the answer is uneven

1 answer:

6 0

This uses the Pythagorean Theorem, which is a^2 + b^2 = c^2 . All you need to do is switch that formula around and you can get the answer easily.

10^2 + b^2 = 16^2

100 + b^2 = 256

b^2 = 156

b= 12.489, or 12.49 rounded

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120 students are interviewed.

RUDIKE [14]

Answer:

decimal

Step-by-step explanation:

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2 years ago

F(x)= 1/x−3+7 Find the inverse of f(x) and its domain.

castortr0y [4]

Answer:

f(x)^-1 = x - 4

D: {x is all real numbers}

Step-by-step explanation:

change f(x) to y

switch x with y and vice versa

solve for y

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2 years ago

What is equivalent to <img src="https://tex.z-dn.net/?f=%283%5E6%293" id="TexFormula1" title="(3^6)3" alt="(3^6)3" align="absmid

kherson [118]

For this case we must indicate an expression equivalent to:

$(3 ^ 6) ^ 3$

For properties of powers we have to:

$(a ^ n) ^ m = a ^ {n * m}$

So, the above expression can be rewritten as:

$(3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}$

Thus, the resulting expression is: $3^{ 18}$

Answer:

$3^{ 18}$

Option D

8 0

2 years ago

There were 900 students enrolled in a high school in 2009 and 1,500 students enrolled in the same high school in 2012. The stude

Volgvan

Answer:

(A)

$(t_0,P_0)=(0,900)$

$(t_1,P_1)=(3,1500)$

(B)

$m=200$

(C)

$P=200t+900$

(D)

The high school's enrollment in 2017 is 2500

Step-by-step explanation:

Let's assume time starts since 2009

so, In 2009 , t=0

P=900

In 2012,

t=2012-2009=3

P=1500

(A)

So, we have points as

$(t_0,P_0)=(0,900)$

$(t_1,P_1)=(3,1500)$

(B)

we can use slope formula

$m=\frac{P_2-P_2}{t_2-t_1}$

we can plug values

$m=\frac{1500-900}{3-0}$

$m=200$

we know that

slope is rate of change of P with respect to time

so, slope means increase in population is 200 per year

(C)

we can use point slope form of line

$y-y_1=m(x-x_1)$

$m=200$

$(t_0,P_0)=(0,900)$

$P-900=200(t-0)$

$P=200t+900$

(D)

In 2017 ,

t=2017-2009=8

we can plug t=8

and we get

$P=200(8)+900$

$P=2500$

The high school's enrollment in 2017 is 2500

4 0

2 years ago

If the area of the square is 300 square inches, what is the length of each side simplest form?

Mila [183]

300 divided by 4 =75

8 0

2 years ago