Find


(a) the value of q in radians

(b) the area of the shaded region in cm²​

Find(a) The Value Of Q In Radians (b) The Area Of The Shaded Region In Cm

Answers

Answer 1

Answer:

(a) 1.18

(b) 99.71

Step-by-step explanation:

to know the value of q in degrees we can use cosine of q

[tex]\cos (q) = \frac{OR}{OQ}\\\\\cos (q) = \frac{5}{13}\\\\q = \cos^{-1}(\frac{5}{13})\\\\q \approx 67.38[/tex]

now to radians

the formula is

[tex]x\times\frac{2\pi}{360}\\\\[/tex]

with x the degrees

[tex]67.38\times \frac{2\pi}{360}\\\\=\frac{67.38\pi}{180}\\\\\approx 0.374\pi\\\\\approx 1.18[/tex]

so the measure of angle q is 1.18 radians

so now for part b

[tex]A = \frac{r^2 \alpha }{2}\\\\[/tex]

with [tex]\alpha[/tex] being the central angle in radians

for degrees is the following

[tex]A = \frac{\theta}{360}\times \pi r^2[/tex]

so we have

[tex]A = \frac{13^2 (1.18)}{2}\\\\A = 99.71[/tex]cm^2


Related Questions

look at the screenshot please

Answers

Answer:

Wow to cute i love it

Evalute The Expression 2b+5=2

Answers

Answer:

b = -3/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2b + 5 = 2

Step 2: Solve for b

Subtract 5 on both sides:                    2b = -3Divide 2 on both sides:                        b = -3/2

So what is the answer to this question

Answers

Plug in -10 for x
|-10+4| = |-6| = 6
The answer is 6

Answer:

-6

Step-by-step explanation:

Find the slope of the graph. Write it as a
fraction or whole number (not a mixed number).
Enter the correct answer.

Answers

Answer:

2/3

Step-by-step explanation:

use rise over run. you may pick two y values and 2 x values and say (y2-y1)/(x2-x1). here I used (3-1)/(3-0)

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

is the formula for point slope.

so plug in points that meet and put the rise over the run.

Work out 85% of 40 - 40% of 85

Answers

Answer:
The answer is 34
Explanation:
First, find the whole or total amount of what you want to find a percentage for, then divide the number that you wish to determine the percentage for, lastly multiply the value from step 2 by 100.

What is 6 x 4 multiplied.

Answers

Answer:

24

Step-by-step explanation:

Add 6 to itself 4 times.

The average adult in the US watches _____ hours of television each week.
A.
12
B.
16
C.
28
D.
48

Answers

It’s 4 hours of television each week I hope this answers your question:)

Answer:

D

Step-by-step explanation:

Got it right on edge

BRAINLIST!!!!

What does the expression 4+x+x equal?

Answers

Im not sure in which way ur supposed to answer but i think it can be answered in either 4x squared or 6

A historic museum charges a rental fee plus $3 per hour for an audio tour guide. The total cost for 4 hours is $15. The total cost for 2 hours is 9. Construct a linear equation in y = mx + b format.

Answers

Answer:

27

Step-by-step explanation:

The image of the point (2,−8) under a translation is (−2,−6). Find the coordinates of the image of the point (5,2) under the same translation.

Answers

Answer:To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Step-by-step explanation:This all i can remember to help you out

Find the surface area of this triangular prism.

Answers

Answer:

96

Step-by-step explanation:

A=Area

Using the formulas

[tex]A= 2A_{b} +(a+b+c)h\\A_{b} = \sqrt{s(s-8)(s-10)(s-6)} \\s= \frac{8+10+6}{2}[/tex]

Solving for A

[tex]A=ah+bh+ch+\frac{1}{2}*\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]

[tex]A=8(2)+10(2)+6(2)+\frac{1}{2}*\sqrt{-8^{4} +2*(8*10)^{2} +2*(8*6)^{2}-10^{4} +2*(10*6)^{2}-6^{4} }[/tex][tex]A=96[/tex]

A book fair had sale where 5 books were $25.85.
If you wanted to buy 6 books, how much money would you need?

Answers

Answer:

$31.02

Step-by-step explanation:

5 books = $25.85

1 book= $5.17

6 books= $5.17*6

6 books= $31.02

Find 0.08% of 720.

someone please help i can't understand it because of how fast my teachers teaches

Answers

Answer:

0.576

Step-by-step explanation:

0.08 x 720 /100   = 0.576

If x represents a given number, the expression "3 less than twice the given number"
is written as...

Answers

Answer:

2x-3

Step-by-step explanation:

Simplify the expression. Those are the options.

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer:

A.) 42s - 63

Step-by-step explanation:

7 - 7(-6s + 10)

7 + 42s - 70

42s + 7 - 70

42s - 63

help me on a multiple choice question, please! correct answer gets brainliest!

consider the following function. y = 18 (1.06)[tex]x^{t}[/tex]
which scenario could represent this function?

- John has 18 pairs of shoes and his amount of shoes increases by 0.6% each year
- John has 18 pairs of shoes and his amount of shoes increases by 6% each year
- John has 18 pairs of shoes and his amount of shoes increases by 1.06% each year
- John has 18 pairs of shoes and his amount of shoes increases by 60% each year

Answers

Answer:

its c

Step-by-step explanation:

Help me plz! Help plz plz plz

Answers

Answer:

Function A's slope>Function B

Step-by-step explanation:

So first we see that the y-intercept of function A is 2 (we see (0,2) as a point on the graph) and we know that it's linear. So this leaves us with

mx+2=y.

Now we can just plug in to solve for m!

m+2=6

(Subtract 2 from both sides)

m=4

So the slope of function A is 4.

Next we move onto function B.

We can clearly see that the function is decreasing, meaning that function A's slope is greater.

Consider the Parallelogram
If the perimeter of the parallelogram is 60, what is the length of HG?

Answers

Answer:

The length of HG = 11 units

Step-by-step explanation:

We know that opposite sides of a parallelogram are equal.

so

EF = GH

and

FG = EH

Given that

FG = 2x+5

so

EH = 2x+5

also

EF = 3x-10

so

GH = 3x-10

Given that the Perimeter of a parallelogram = 60

As the perimeter of a parallelogram is the sum of all the sides, so

FG + EH + EF + FH = 60

substituting FG = 2x+5, EH = 2x+5, EF = 3x-10, GH = 3x-10

(2x+5) + (2x+5) + (3x-10) + (3x-10) = 60

remove parenthese

2x+5 + 2x+5 + 3x-10 + 3x-10 = 60

group similar elements

2x + 2x + 3x + 3x + 5 + 5 - 10 - 10 = 60

10x - 10 = 60

10x = 60+10

10x = 70

divide both sides by 10

10x/10  = 70/10

x = 7

Therefore, the value of x = 7

Thus,

The length of HG = 3x-10 = 3(7) - 10 = 21 - 10 = 11 units

Hence,

The length of HG = 11 units

Solve this equation

Answers

Answer:

x in (-oo:+oo)

2/5 = x/15 // - x/15

2/5-(x/15) = 0

2/5-1/15*x = 0 // - 2/5

-1/15*x = -2/5 // : -1/15

x = -2/5/(-1/15)

x = 6

x = 6

(Have a great rest of your day :)

Make the biggest possible number using the digits below only once2,9,4​

Answers

If you multiply them all it = 72

HELP ME PLEASE IM DESPERATE!!!

Answers

Answer:

ABC is similar to ADE because ABC and ADE have similar degree angles  

Step-by-step explanation:

Sorry if this is wrong.

People In town voted for a new councillor

Answers

Answer:

what's your question???

I can't understand:-//

Find the volume of the composite solid.

Answers

Answer:

768 m^2

Step-by-step explanation:

Separate the shapes

We can first separate the triangular pyramid from the rectangular prism.

We can calculate them separately.

Calculate

The volume of the triangular pyramid is the base multiplied by the height divided by 3. The base of the pyramid has the same base as the prism so:

8 * 8 = 64

Then we need the height which is 6 so:

64 * 6/3 = 64 * 2 = 128 m^2

Then we calculate the volum of the prism; the formula for that side times side time side:

8 * 8 * 10 = 640 m^2

The total volume is them added up:

128 + 640 = 768 m^2

A certain bamboo plant grows 1.2 feet in one day. At that rate, how many feet could the plant grow in 0.5 day?

Answers

Answer:

0.6 feet in half a day

Step-by-step explanation:

If it grows 1.2 feet in 1 full day, then half of that 1.2÷2=0.6

Andy painted at his house. He used 1/4 of his paint to paint five walls. What fraction of his paint did andy use on each wall if he used the same amount of paint on each?

Answers

Answer:

1/20

Step-by-step explanation:

1/4 ÷ 5

1/4 x 1/5

1/20

Hey there!

The answer to your question is [tex]\frac{1}{20}[/tex]

To solve this we must divide [tex]\frac{1}{4}[/tex] by [tex]5[/tex].

To do this, we can multiply [tex]\frac{1}{4}[/tex] by the reciprocal of [tex]5[/tex], or [tex]\frac{1}{5}[/tex].

[tex]\frac{1}{4} * \frac{1}{5}[/tex]

[tex]\frac{1}{20}[/tex]

Therefore, Andy used [tex]\frac{1}{20}[/tex] of a can of paint on each wall of his house.

Hope it helps, have a great day, and stay safe! You've got this!

What is the difference, in hours and minutes, between these times?
a)13:40 and 17:15
b)11:25 and 14:10
c)2:50 and 7:20

Answers

Answer:

jhj

Step-by-step explanation:

Name the relationship
A.complementary
B.linear pair
C.vertical
D.adjacent

Answers

Answer:

∠a and ∠b are the adjacent angles.

Therefore, option D i.e. adjacent is the correct option.

Step-by-step explanation:

Given the angles

∠a∠b

We know that the two angles are termed as the adjacent angles when they share the:

common vertexcommon side

From the given diagram, we are given the angles ∠a and ∠b.

It is clear that angles ∠a and ∠b have a common vertex and common side.

Therefore, the relationship between the angles ∠a and ∠b is 'adjacent'.

In other words, ∠a and ∠b are the adjacent angles.

Please note that the given relation can not be a 'linear pair' because the sum of two angles is NOT a straight line or 180°.

Therefore, option D i.e. adjacent is the correct option.

simplify the expression (2h+1)(8)

Answers

Answer:

[tex]16h+8[/tex]

Step-by-step explanation:

[tex](2h+1)(8)[/tex]

Multiply 8 with 2h and 1

[tex]16h+8[/tex]


Consider the function f(x) = 3x and a translation of f(x) named g(x). Janeen created a table for select values of x. Her table is shown below.
A 3-column table has 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled f (x) with entries 1, 3, 9, 27. Column 3 is labeled g (x) with entries 3, 9, 27, 81.
What can be concluded about the relationship between the two functions? Check all that apply.
The functions have the same base.
The functions have the same range.
The functions have the same exponent.
The functions have the same domain.
g(x) is a translation left 1 unit.
g(x) is a translation right 2 units.
g(x) is a translation up 2 units.

Answers

Answer:

1,2,4,5

Step-by-step explanation:

edg 2021

Answer:

1,2,4,5

Step-by-step explanation:

Did the thing on edge and got it right

70+10

I tried to give y’all 71 points it but wouldn’t allow me srry something better than nun

Answers

Answer:80

Step-by-step explanation: and its ok if its not 71 points

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