FIND THE AREA OF THE SHADED REGION.

FIND THE AREA OF THE SHADED REGION.

Answers

Answer 1

This problem can be a bit confusing, so let's break it down:

First, let's take the area of the square (A = b · h):

A = 15 · 15

A = 225 cm²

Now comes the confusing part:

We can tell that the non-shaded area is 1/4 of a circle, so, if we take 1/4 of the area of a circle, we can subtract its area from the area of the square:

A = πr²

A = 15²π

A = 225π

1/4 A = 225π / 4

New Area = 56.25π

Or... about 176.7

Since we have both of the areas, all we have to do is subtract:

225 - 176.7 =

48.3.

Your final answer is 48.3 cm²


Related Questions

Question 21 of 25
What is g(x)?
10-
у
5-
10
-5
5
-5-
-10
A. g(x) = -1X
B. g(x) = -x2
C. g(x) = -2*
D. g(x) = -x
SIDST

Answers

Answer:

C. g(x) = -2^x

Step-by-step explanation:

----------

The function shown in the graph is C. g(x) = -2ˣ.

What are Exponential Functions?

Exponential functions are functions where the independent variable, x is in the exponent.

Given is a graph of a  function.

The graph must be a negative function since as the value of x increases, the value of y decreases and the y value is always negative.

The graph of |x| is a straight line.

Similar in the case of x also, y = x is a straight line.

The graph of the function x² will be a parabola since the highest exponent is 2.

So the graph is that of a exponential function.

Since it is negative g(x) = -2ˣ is the required function.

Hence the required function is g(x) = -2ˣ.

Learn more about Exponential functions here :

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MATCH THE SYSTEM OF EQUATIONS ON THE LEFT WITH THE APPROPRIATE SOLUTION ON THE RIGHT

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME WITH THIS!!!!!

Answers

9514 1404 393

Answer:

  see attached for a plot

  14.44, 15.21, 3.8727² ≈ 14.99780529

Step-by-step explanation:

(3.8)² = 14.44

(3.9)² = 15.21

The root of 15 will be approximately at the spot where the line between these values crosses 15.

We can see the slope of the square function is approximately ...

  m = (15.21 -14.44)/(3.9 -3.8) = 0.77/0.1 = 7.7

Then the value we need to add to 3.8 will be ...

  (15.00 -14.44)/7.7 = 0.56/7.7 ≈ 0.0727

An approximation of the root is 3.8727.

_____

Additional comment

Here, the location we plotted for √15 is "exact." We're not sure what original approximation you're trying to better. We chose to use linear interpolation between the points (3.8, 14.44), (3.9, 15.21) to estimate the value of 'x' that would give x^2 = 15. (There are other, better, ways to refine the estimate of the root.)

what value of x is in the solution set of -5-15>10+20x

Answers

Answer:

-3/2 >x

Step-by-step explanation:

-5-15>10+20x

Combine like terms

-20 > 10 +20x

Subtract 20 from each side

-20 -10 > 10+20x-10

-30> 20x

Divide by 20

-30/20 >20x/20

-3/2 >x

Answer:

-3/2 > x

Step-by-step explanation:

-5 - 15 > 10 + 20x

 ^    ^

  -20

-20 > 10 + 20x

-10    -10

---------------------

-30 > 20x

-----   -------

20     20

-3/2 > x

Hope this helped.

The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 30L per hour. The water output rate for the Martin family's sprinkler was 15L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1350L. How long was each sprinkler used

Answers

Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

L + M = 55

30 * L + 15 * M = 1350

One way to solve this would be to solve for L in the first equation and substitute that into the second

subtract M from both sides in the second equation

55 - M = L

30 * (55-M) + 15 * M = 1350

30 * 55 - 30 * M + 15 * M = 1350

1650 - 15M = 1350

subtract 1650 from both sides to isolate the M and its coefficient

-15M = -300

divide both sides by -15 to isolate M

M = 20

L = 55-20 = 35

HELP MEEE THIS IS 38 points because I need help wit 3 questions ❣️

Answers

Answer:

b, a, d (in that order)

Step-by-step explanation:

#1: since apples and bananas are each $0.40, to get the total cost, you would  add the number of each and then multiply by 0.4.

#2. The ratio of heads of lettuce to guests should be the same. Therefore, [tex]\frac{37}{100} = \frac{x}{275}[/tex].

#3. We can distribute to get [tex]7x-4x+32 = 56[/tex], which simplifies to [tex]3x+32=56[/tex]

Answer:

see below

Step-by-step explanation:

Profit = .40a + .40b

         = .40(a+b)

Choice b

37 heads            x heads

------------   = -----------------

100 guests            275 guests

Choice A

7x - 4(x-8) = 56

Distribute

7x - 4x +32 = 56

Combine like terms

3x +32 = 56

Choice D

A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that:
She plans to drive 400 miles.
She has at most $210 to spend.

Use the drop-down menu below to write an inequality representing dd, the total number of days Claire can rent the car while staying within her budget.

Answers

0.09x - 28y greater than or equal to 210

The required inequality that expresses the given condition is 36 + 29x ≤ 210.

Given that,
A rental car company charges $29 per day to rent a car and $0.09 for every mile driven. Claire wants to rent a car, knowing that she plans to drive 400 miles. she has at most $210 to spend.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the number of days be x,
Total cost to drive 400 miles = 400(0.09) = $36.
According to the question,
36 + 29x ≤ 210

Thus, the required inequality that expresses the given condition is 36 + 29x ≤ 210.

Learn more about inequality here:

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When a willow tree was planted it was 24 inches tall. Three years later, the tree was 54 inches tall. How many inches per year is the willow tree growing on average?

Answers

Answer:

On average 10 inches

Step-by-step explanation:

1st= 24 inches

2nd= 34 inches

3rd= 44 inches

4th= 54 inches

10 inches per year, you take the ending height and minus the starting height and divide by the number of years it grew for (3)

make x the subject of the formula

show your working.

Answers

Answer:

[tex]x = \frac{3y-4}{y-1}[/tex]

Step-by-step explanation:

y(x-3) = (x-4)

yx -3y = (x-4)

yx - x = 3y -4

x(y-1)= 3y -4

[tex]x = \frac{3y-4}{y-1}[/tex]

please answer if you can

Answers

Step-by-step explanation:

denominator

add numerator

1+1=

please help me, this question is very difficult​

Answers

I think it’s 47743774367

Answer:

2 or tricky answer 11

The angle of elevation to the top of the
school is 37° from where you are standing
11.2 m from the wall of the school. Find
the height of the school.

Answers

Answer:

8.44 m

Step-by-step explanation:

SohCahToa is a good way to remember that Sin = opposite/hypotenuse, Cosine = adjacent/hypotenuse and Tangent = opposite/adjacent. In this case, we have to use tangent. So tan 37° = x/11.2. Multiply both sides by 11.2 and you get tan 37° × 11.2 = x; The height of the school is x so the height of the school is 8.44 m

HELP: Find the length of an arc of a circle with a 10-cm radius associated with a central angle of 126 degrees. Give your answer in exact and approximate form to the nearest hundredth. (Show and explain your work)

THANK YOU!!

Answers

[tex]\it L_{arc}=\dfrac{2\pi R\cdot angle}{360^o}=\dfrac{2\pi\cdot10\cdot126^o}{360^o}=\dfrac{2520^o}{360^o}\cdot \pi=7\pi\approx7\cdot3,14 \Rightarrow\\ \\ \\ \Rightarrow\ L_{arc}\approx21,98\ cm\approx22\ cm[/tex]

2(-n - 3) - 7(5+ 2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

2(-n-3)-7(5+2n)

Distribute

-2n-6-35-14n

Combine like terms

-16n-41

Hope this helps!

a 4 pint carton of frozen yogurt costs 6.08 what is the price per cup

Answers

Answer:

?

Step-by-step explanation:

My last person to ask a question

Answer:

$0.76 per cup or 76 cents per cup

Step-by-step explanation:

1 pint is 2 cups

4 pints is 8 cups

We can use ratios to solve

8 cups              1 cup              

------------------ = -----------------

6.08 dollars         x dollars

Using cross products

8x = 6.08

Divide each side by 8

x =6.08/8

x=.76

if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x​

Answers

Answer:

Possible Answers: –5. –21. 7. –1

Answer:

just put the values and simpilyfy it untill you get the value of X

hence, the value of X is either 3 or, -1

Z varies directly as x/y² and y varies inversely as x,if z=⅓ when x =2 and y=¼. Express (a). Y interms of x and (b). Z interms of x

Answers

Bhjhbjhjhbkhtdttf3345

Answer:

Baba

Step-by-step explanation:

Booey

Helpppp Please! Please!

Answers

∠DCA=∠BCA
∠B=∠D
CA=AC
△DCA≌△BCA (AAS)

NO=NQ
OP=QP
NP=PN
△NOP≌△NQP (SSS)

∠FOW=∠KIB
∠OFW=∠IKB
FW=KB
△FOW≌△KIB (AAS)

Hope my answer helped u :)

Write the equation of the line that passes through the points (-3, -3) and (8,7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

Step-by-step explanation:

First you want to find the slope

y2-y1/x2-x1

7-(-3)/8-(-3)

Two negatives equal a positive. so Rewrite

7+3/8+3

10/11

Slope=10/11

To find the equation of the line..

y-y1=10/11(x-x1)

y-(-3)=10/11(x-(-3)

Again double negative, so rewrite

y+3=10/11(x+3)

y+3=10/11x+30/11

Subtract three from both sides to isolate 'y'

y+3-3=10/11x+30/11-3

y=10/11x+30/11-3

y=10/11x-3/11

Round each to the nearest cent.
$879.190
and
$532.626

Answers

Answer:

$879.190 = $879.19

$532.626 = $532.627

Step-by-step explanation:

You round up for the tenths place if the hundredths place is above five, but you round down for the tenths place if the hundredths place is below five. For example, 0 is below five for $879.190, so I round to 9.

verify whether the point (2,5) lies on 2x -y+1=0 or not

Answers

Answer:

yes verified

Step-by-step explanation:

2x-y+1=0

substitute

2(2)-5+1=(0?)

4-5+1=0

yes

Algebra
factorize
a4 - 3a2b2 + b4​

Answers

Answer:

The term a⁴-3a²b²+b⁴ can't be factorised

PLEASE EXTREMELY URGENT!!!
what is the solution to -2(8 x - 4) < 2x + 5

o x>1/6
o x<1/6
o x>6
o x<6

Answers

Answer:

1/6 <x

Step-by-step explanation:

-2(8 x - 4) < 2x + 5

distribute

-16x+8 < 2x+5

Add 16x to each side

-16x+16+8 < 2x+16x+5

8<18x+5

Subtract 5 from each side

8-5 < 18x+5-5

3<18x

Divide by 18

3/18 <18x/18

1/6 <x

I think it migth be the first one

give me brainlieSt

it is 1/6

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER

Answers

The answer would be 66km³

Answer:

V=l×w×h

so the answer is 66km

11×2×3=66

A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $27.00 per square meter. How much will the chalkboard cost?

Answers

Answer:

The chalkboard costs $54.00

Step-by-step explanation:

A chalkboard is in a shape of a rectangle. The chalkboard mentioned measures 1 meter by 2 meters.

The area of a rectangle is given by the formula:

A = lw

Use formula:

A = (2)(1) = 2 m^2

The chalkboard costs $27.00 per square meter so:

2 x 27 = 54

The chalkboard costs $54.00

The length of a rectangle is 8cm less than twice it's width find the the dimensions of the rectangle if the area is 120cm(2)

Answers

Answer:

15 cm

Step-by-step explanation:

so:

if A= b x h and web have b Just Do the inverse formula:

H = a/b h=120/8 = 15 cm

Sorry for my bad English but I'm italian

Prove that angle ABD is congruent to angle CBE

with solution!

Answers

ANSWER:

the conditions are the angle a is equal to angle c and ab = bc . Hence we need to prove that the triangles is congruent to the triangle cbe. ... angle A =angle C and AB=BC.

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

1) x=6,    2) x=13

Step-by-step explanation:

Factor 2x2c2 + 3xc2 − 35c2. Show your work.

Answers

Answer:

c²(x + 5)(2x - 7)

Step-by-step explanation:

2x²c² + 3xc² - 35c² =c²(2x² + 3x - 35) =c²(2x² + 10x - 7x - 35) =c²(2x(x + 5) - 7(x + 5)) =c²(x + 5)(2x - 7)

[tex]\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2[/tex]

Take c^2 common

[tex]\\ \sf\longmapsto c^2(2x^2+3x-35)[/tex]

Factor the brackets

[tex]\\ \sf\longmapsto c^2(2x^2+10x-7x-35)[/tex]

[tex]\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))[/tex]

[tex]\\ \sf\longmapsto c^2(2x-7)(x+5)[/tex]

At the beginning of a snowstorm, Camden had 10 inches of snow on his lawn. The
snow then began to fall at a constant rate of 2.5 inches per hour. Assuming no snow
was melting, how much snow would Camden have on his lawn 4 hours after the snow
began to fall? How much snow would Camden have on his lawn after t hours of snow
falling?
Snow on lawn after 4 hours:
Show on lawn after t hours:

Answers

Answer:

ans - all the snow would been removed ....bcause 4 *2.5 is 10

Answer: 20

2.5 + 10

Step-by-step explanation:

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