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3 years ago

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The Lopez family is moving to another city. An online budget estimator says their required monthly income will be $5,900. How mu

ch more per month will they need to live in the new city?
$300

$400

$500

$600

PLEASE HELP! AND SHOW WORK!

1 answer:

irakobra [83]3 years ago

8 0

Answer:

$600

Step-by-step explanation:

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Please help lol... find the m

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Answer:

Angle A =35

Step-by-step explanation:

ok that is a triangle

look exterior plus interior is 180

corresponding angles

x+74

now lets solve for the angle a

triangle = 180 degrees

180=73+x+74+37+x

combine like terms

x=−2

now plug in for angle a

37+(-2)

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Find the length of the arc and express your answer as a fraction times pie

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Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

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1 year ago

Steve is participating in a bike a thon for charity. He will bike 144 miles per day for 5 days. How many miles will steve bike i

Serggg [28]

144x5=720 miles in five days

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3 years ago

Read 2 more answers

In a particular region, for families with a combined income of $75,000 or more, 15% of these families have no children, 35% of t

SCORPION-xisa [38]

Answer:

The probability distribution for x:"number of children per family for this income group" is:

$\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\$

Step-by-step explanation:

With the information given we have the relative frequencies of each category.

We know:

$\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\$

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3 years ago