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3 years ago

1) To the nearest tenth of a foot, what is the distance from the wall to

Mathematics

1 answer:

steposvetlana [31]3 years ago

6 0

Answer:

1) B

2) 4.5 feet

Step-by-step explanation:

Please see the attached picture for the full solution.

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What is the area of the shaded sector?

Salsk061 [2.6K]

Answer:

= 72*pi

If we approximate pi

= 226.08

Step-by-step explanation:

The area of the entire circle is

A = pi * r^2

where r = 24

A = pi * 24^2

A = pi *576

45 degrees is part of a 360 degree circle

45/360 =1/8

Multiply the area by 1/8 since it is 1/8 of the circle

1/8 A = 1/8 * 576pi

= 72*pi

If we approximate pi

= 226.08

7 0

2 years ago

Read 2 more answers

Solve in degrees. 0 < θ < 360<br> 1. tan θ = 3.5134

Temka [501]

Answer:

Therefore,

$\theta=74.11\°\ or\ \theta=254.11\°$

Step-by-step explanation:

Given:

0° < θ < 360°

tan θ = 3.5134

To Find:

θ in degrees = ?

Solution:

0° < θ < 360° .............Given

Means ' θ ' is between 0° and 360°

$\tan \theta=3.5134$ .............Given

Therefore,

$\theta=\tan^{-1} (3.5134)$

Also,

$\tan (180+\theta)=\tan \theta$

So ' θ ' will have Two values for tan θ =3.5134

$\therefore \theta=74.11\°\ or\ \theta=180+74.11=254.11\°$

Therefore,

$\theta=74.11\°\ or\ \theta=254.11\°$

5 0

3 years ago

Susan owes $15,000 in student loans. She pays $150 toward the debt every month. Represent the total amount that she owes as a fu

Sergio039 [100]

Answer:

f(x) = 15000 - 150x

Step-by-step explanation:

Given that:

Initial Amount owed = $15000

Amount payed towards debt per month = $150

Total amount owed as a function of month(x) after each payment :

F(x) = Initial amount owed - (amount paid per month * number of month)

Let number of month = x

f(x) = 15000 - 150x

Hence, the function ;

f(x) = 15000 - 150x represents the total amount owed after each payment.

8 0

3 years ago

John has 6 boxes of apples each box holds 12 apples. If 4 of the boxes r full and 2 r half full how many apples does John have??

olga55 [171]

Each box holds 12 apples
He has 6 boxes : 4 are full, 2 are half full

4 with 12, 2 with half of 12 (6)

12*4 + (12/2 * 2)
48 + 6*2
48+12
60

3 0

2 years ago

Does anyone know the answer <br> In the diagram of circle O, what is the measure of ∠ABC?

svp [43]

Answer: The measure of ∠ABC = 54°.

Step-by-step explanation:

As we know that

Measure of major arc AC = 234° ( Far arc)

Measure of minor arc AC = 126° (Near arc)

By theorem, we know that the angle formed by intersection of two tangents is equal to half the difference of far arc and near arc.

As we know that ∠ABC is given by

$\frac{1}{2}(Far\ arc-Near\ arc)\\\\=\frac{1}{2}(234-126)\\\\=\frac{1}{2}\times 108^\circ\\\\=54^\circ$

Hence, the measure of ∠ABC = 54°.

3 0

3 years ago

Read 2 more answers