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Makovka662 [10]
3 years ago
10

Over a four-week period, Gail earned the following commissions: Week 1 $250.00 Week 2 310.00 Week 3 275.00 Week 4 195.00 What wa

s her average weekly commission for the period? A. $207.50 B. $240.00. C. $205.00 D. $257.50
Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0
To find the average: the sum of the values/number of values
=250+310+275+195/4
=257.5
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a local basketball court dimensions are 50 ft long, 20 ft wide, the court is lost square footage by 1/4. what are the new dimens
VikaD [51]
50x20=1000

1000x(1/4)=250

1000-250=750ft^2
3 0
3 years ago
I need to figure out if I'm doing this correctly
kogti [31]

To prove that triangles TRS and SUT are congruent we can follow these statements:

1.- SR is perpendicular to RT: Given

2.-TU is perpendicular to US: Given

3.-Angle STR is congruent with angle TSU: Given.

4.-Reflexive property over ST: ST is congruent with itself (ST = ST)

From here, we can see that both triangles TRS and SUT have one angle of 90 degrees, another angle that they both have, and also they share one side (ST) ,then:

5.- By the ASA postulate (angle side angle), triangles TRS and SUT are congruent

5 0
1 year ago
Human beings have discovered an inhabitable planet and soon after, they find 10 more inhabitable planets. Of these 11, only 5 ar
Tatiana [17]

5 of the planets are earth like and 2 are mars like

5 * 2 = 10

<u>1 * 2 = 2</u>

Total 12

4 earth like and 4 mars like

Earth = 4*2 = 8

<u>Mars = 4 * 1 = 4</u>

Total 12

3 Like Earth 6 like mars

Earth 3 * 2 = 6

<u>Mars 6 * 1 = 6</u>

Total 12

Those answers are the only ones possible.

3 0
3 years ago
Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Vaselesa [24]

Answer:

\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: }  \frac{3\pi}{2}\text{ mi}

Step-by-step explanation:

The circumference of a circle with radius r is given by C=2\pi r. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle \theta^{\circ} is equal to 2\pi r\cdot \frac{\theta}{360}.

Formulas at a glance:

  • Circumference of a circle with radius r: C=2\pi r
  • Length of an arc with central angle \theta^{\circ}: \ell_{arc}=2\pi r\cdot \frac{\theta}{360}

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting r=2 into our circumference formula, we get:

C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}

8 0
3 years ago
A publisher claims that the average salary paid at its company is $37,500, but it could differ by as much as $4,500. Write an ab
Arlecino [84]

Answer:

|x − 37,500| ≤ 4,500

Step-by-step explanation:

salary - 37,500 can be up  +4500 or as negative -4500

as much as means less than or equal to

We use absolute values to indicate this

|x − 37,500| ≤ 4,500

8 0
3 years ago
Read 2 more answers
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