The value in cents of 4 quarters and x dimes is

Answers

Answer 1

Answer: To add numbers, their units should be the same. We need first to convert the quarters and dimes into cents.
4 quarters is equal to 100 cents, while a dime is equal to 10 cents.
In formula, the answer would be 100+10x. ( x refers to the number of dimes)

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Find the circumference of the circle with the given radius or diameter. (Use 3.14 for π.)radius = 20 in. a. 1,256 in. b. 125.6 in. c. 5,024 in. d. 62.8
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C+2c+12=75what is the value of c?
Choose all the numbers that 116 is divisible by.23456910

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Square root of 161 cm
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Answers

Here is the procedure
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If sin α = 12/13 , and cosα = 5/13 , then tanα =?It would be great if you could add a few words of explanation

Answers

$sin\alpha=(12)/(13)\n\ncos\alpha=(5)/(13)\n\ntan\alpha=(sin\alpha)/(cos\alpha)\n\ntan\alpha=(12)/(13):(5)/(13)=(12)/(13)\cdot(13)/(5)=(12)/(5)=2(2)/(5)=2.4$

If you draw a right angles triangle you can fill in the values. So since sinx= opposite/hypotenuse then the hypotenuse of the triangle is 13. And the side opposite the angle a is 12. Since cosx= adjacent/ hypotenuse, the adjacent side is 5.
Tanx=opposite/adjacent and therefore tana= 12/5

36x^2-21x-30 factor

Answers

Easy...

to even begin to factor..you must factor out a 3, to simplify your answer.

3(12 $x^(2)$ -7x-10)

Now, you can factor.

$3(12 x^(2) -7x-10)$

So..to find the answer...

12*-10=-120x
and
you would use -7x

What multiplies to -120..but adds to -7?

-15*8=-120
and
-15+8=-7

To find the answer, plug in what you know..

3(3x+2)(4x-5)

Thus, your answer.

The diameter of a Frisbee is 12 in. What is the area of the Frisbee?a. 37.68 sq. in.
b. 452.16 sq. in.
c. 18.84 sq. in.
d. 113.04 sq. in.

Answers

we know that

Area of the circle is equal to

$A=\pi r^(2)$

where

r is the radius

in this problem

$diameter=12\ in \n radius=diameter/2\n radius=12/2\n radius=6\ in$

$A=3.14* 6^(2)$

$A=113.04 in^(2)$

therefore

the answer is the option

d. 113.04 sq. in.

The area of the Frisbee is about 113 in.² ( Option D )

Further explanation

The basic formula that need to be recalled is:

Circular Area = π x R²

Circle Circumference = 2 x π x R

where:

R = radius of circle

The area of sector:

$\text{Area of Sector} = \frac{\text{Central Angle}}{2 \pi} * \text{Area of Circle}$

The length of arc:

$\text{Length of Arc} = \frac{\text{Central Angle}}{2 \pi} * \text{Circumference of Circle}$

Let us now tackle the problem!

Given:

Diameter of Frisbee = d = 12 in

Unknown:

Area of Frisbee = A = ?

Solution:

Area of the Frisbee could be calculated using the area of circle as follows:

$A = (1)/(4) \pi d^2$

$A = (1)/(4) * \pi * 12^2$

$A = 36 \pi ~ in.^2$

$A \approx \boxed {113.10 ~ in.^2}$

The closest option available will be option D. 113 in.²

Learn more

Calculate Angle in Triangle : brainly.com/question/12438587
Periodic Functions and Trigonometry : brainly.com/question/9718382
Trigonometry Formula : brainly.com/question/12668178

Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse, Circle , Arc , Sector , Area, Inches , Frisbee , Diameter , Radius , Trigonometry ,

What has,parallel sides but is not a trapezoid

Answers

Rectangle, has parallel sides but it is not a trapezoid

Answer:

rectangle

Step-by-step explanation:

Find the missing side and round to the nearest tenth

Answers

In this problem you use cosine because you know the hypotenuse and you want to know the adjacent side of the triangle. So in your calculator you would input cos(52). Then you would multiply that answer with the hypotenuse side. So your equation would be this: cos(52) x 13

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