The diagram shows a semi-circle inside a rectangle of length 120 m.
The semi-circle touches the rectangle at A, B and C.
Not to scale
A
C
120 m
Calculate the perimeter of the shaded region,
Give your answer correct to 3 significant figures,
(5 marks)
I

Answers

Answer 1

Answer:

Answer is 30 m

Step-by-step explanation:

First calculate the cricumfrance of the circle, then divide it by 4 and thats the edge of the shaded area and the radius is the other edjes im pretty sure


Related Questions

what is the square root of 64

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8x8=64 so √64=8. hope this helps!

ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN

Answers

Answer:

Part a)

MN = 0.5a-0.5c

Part b)

MN=0.5a-0.5c

CA=a-c

CA is parallel to MN because 2×MN = CA.

Step-by-step explanation:

Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.

MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.

Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.

CA = -c+a

Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA

In this exercise we have to use the knowledge of parallelogram and vectors to give the values ​​of each one of them, like this:

A) MN = 0.5a-0.5c

B)CA is parallel to MN because 2×MN = CA.

First, we have to remember the definition of parallelogram:

A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.

A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:

[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]

[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]

B)Where you have to quite literally put the precise answer, so we have that:

[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]

See more about parallelogram at brainly.com/question/555467


what is the answer to this subtraction problem​

Answers

Answer:

i d k

Step-by-step explanation:

what is f?

(6f^2 - 9f + 10) - ( -2f^2 - f + 3)

So first, you have to distribute the minus in the middle. You ALWAYS have to. So when you do that, the minus changes to a plus, and everything on the right side of it changes from positive to negative or negative to positive. So it would turn into this -

(6f^2 - 9f + 10) + (2f^2 + f - 3)

Now, you can combine like terms. Add each one that matches. (Add the ones that have 1 f, or f^2)

Answer:
8f^2 - 8f + 7

what single decimal multiplier would you use to decrease by 7% followed by a 20% decrease

Answers

Answer:

x 0.27

Step-by-step explanation:

if they are both decreasing then just add the two percentages together then divide by 100 to give you your decimal answer

It would be 0.27 :)


Hope it helped hehe

Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoints?


A.(−3,−2)

B.(3,2)

C.(2,2)

D.(3,3)​

Answers

Answer:

B.(3,2)

Step-by-step explanation:

Point translated from A(1,2) to B(4,4).

This means that for x, we add 3 units(4 - 1 = 3), while for y, we add two units(4 - 2 = 2).

If a point C at (0,0) is translated in the same way, what will be its new endpoints?

0 + 3 = 3

0 + 2 = 2

So

B.(3,2)

do 4 x + 15 + x have the same value when it's 5​

Answers

Answer:

If you mean 4x = 15 + x, then yes.

Step-by-step explanation:

4 × 5 = 20

15 + 5 = 20

20 = 20

I NEED IT KNOW PLEASEEE

Answers

Answer:

360

Step-by-step explanation:

−1/5(x−4)=−2
Solve for x

Answers

the answer would be x = 14

If x=5 then what is 3x+(2-4x). P.S. standard form

Answers

Answer:

-3

Step-by-step explanation:

3x+(2-4x)

3*5+(2-4*5)

3*5+(2-20)

3*5+(-18)

3*5-18

15-18

-3

3x + 2 - 4x
3x - 4x + 2
-1x + 2
-1(5) + 2

Question 1) Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x - 3y = 13, x + 2y = -4. ( I'll post a picture of the question and problem incase there's any confusion). Will Mark Brainliest.​

Answers

Answer:

x = 2 and y = -3

Step-by-step explanation:

The given equations are:

2x - 3y = 13 ...(1)

x + 2y = -4 ...(2)

Multiply equation (2) by 2.

2x + 4y = -8 ...(3)

Subtract equation (3) from (1).

2x - 3y-(2x + 4y) = 13-(-8)

2x-3y-2x-4y = 13+8

-7y = 21

y = -3

Put the value of y in equation (2).

x + 2(-3) = -4

x-6=-4

x = 6-4

x = 2

So, the solution of the given equations are x = 2 and y = -3.

Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week

Answers

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

Answer: she read 277 books

Step-by-step explanation:

10)
Which set of numbers is NOT in the solution set of the inequality x > 17?
A
(14, 15, 18, 25, 29)
B)
(18.21, 25, 27, 33)
D
(29.32, 35.40.55)

Answers

Answer:

a

Step-by-step explanation:

numbers all have to be greater than 17. 14 and 15 are both less than

Find x. (The picture has the info)

Answers

Answer:

X=5

Step-by-step explanation:

3x+9 is twice of 12 (24). 24-9=15, and 3*5=15, so x=5.

A pair of shoes that originally sold at $30 is now being offered at a 25% discount.
What is its present price?

Answers

Answer:

$22.5

Step-by-step explanation:

You will pay $22.5 for a item with original price of $30 when discounted 25%.

Answer:

Refer to explanation

Step-by-step explanation:

The screenshot you put is the correct answer, here's another method to get the same answer:

Find what 25% is.

100% = 30

1% = 30 ÷ 100 = 0.30

25% = 0.30 x 25 = 7.50

Find the price after the 25% discount.

100 - 25 = 75

75% = 30 - 7.50 = 22.50 or 0.30 x 75 = 22.50 (Both solutions give the same answer)

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
A. 29 - n = 41
B. 29 - n = 40
C. 29 + n = 41
D. 29 + n = 40

Answers

Answer:

C

Step-by-step explanation:

Trevon started with $29.

After cleaning, his total rose to $41.

Since he received money, we add that amount (n) to his initial amount of money ($29), to equal his total amount ($41)

What is the degree of the monomial?

Only write the numerical value as your answer.

8x^3

Answers

Responder:

1

Explicación paso a paso:

cuando una variable no tiene exponente, el grado siempre es uno. Ej: 8x es lo mismo que 8x elevado a 1

60 in scientific notation

Answers

6 x 10 to the first power

Answer:

I think the answer would be 6.0x10¹

If 60 was in scientific notation it would look like 6.0 because there is only one zero and we would need to move the decimal one place to the right. So we multiply 10¹ so we can move that decimal to the right to make 60.

A refrigerator costs $429 to buy and its label says that estimated energy costs are $43 per year. Another brand costs $399, but its energy costs are $48 per year. If x is the years of ownership and y is the total dollars spent, write the ordered pair (x,y) that shows at what point the owner would have spent the same amount of money on either brand.

Answers

Answer:

(6, 687)

Step-by-step explanation:

What percentage is 20 of 92?

Answers

Answer:

21.72% is correct answer

Answer:

 

18.4

Step-by-step explanation:

what are your thoughts about the choice of music style and genre in hamilton? Give reasons for your answer (write a paragraph with a few lines) please don’t waste my points because i really need this i’ll also give brainliest.

Answers

My thoughts on the music genre and music
Style is quite a fun quirky music style in my opinion I also feel as if the music genre has a story behind it. Tell me if you need more lines

Ann borrowed $3000 from a lender that charged simple interest at an annual rate of 7% When Ann paid off the loan, she paid $420 in interest. How long was the loan for, in years?

Answers

Answer:

it was a 2 year loan with $210 contributed each year

Step-by-step explanation:

you take 7 percent of 300 which is 210 and see how many times it goes into the total interest amount and then your answer is how many years the loan was for

n/10 + 8 = 12. Mental Math Solve the equation​

Answers

Answer:

= 4 0

Step-by-step explanation:

/ 1 0 + 8 =1 2

/1 0+ 8 − 8 = 1 2 − 8

SIMPLIFY

1 0 = 4

Multiply all terms by the same value to eliminate fraction denominators

1 0 = 4

1 0 ⋅ /1 0= 1 0 ⋅ 4

Simplify

n=40

The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find the length that beats 80seconds and the time of a pendulum with length 36cm

Answers

Answer:

length= 3.7 ft.

Step-by-step explanation:

T= (square root of length) * k

1.8 seconds = (square root of 3) * k

k= 1.8 seconds / (square root of 3)

a.) T= (square root of 11) k

substituting k:

T=(square root of 11) * 1.8 seconds / (square of 3)

T= 3.4 seconds

b.) 2 seconds = (square root of length) k

substituting k:

2 seconds =(square root of length) 1.8 seconds / (square root of 3)

Divide the equation by 1.8 seconds / (square root of 3):

2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)

10(square root of 3) / 9 = (square root of length)

square both sides:

100/7 ft= length

length= 3.7 ft.

Hope this helps.

What is 1,000,000 written as a power with a base of 10?

Answers

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

Answer:

10^6

Step-by-step explanation:

What is the first step in solving the equation 9m - 2 = 16?
Add 2 to each side.
Subtract 2 from each side.
Divide each side by 9.
Multiply each side by 9.

Answers

Answer: Add 2 to each side

Step-by-step explanation:

9m-2=16

+2 +2

9m=18

add 2 to each side so 9m = 16 + 2

Geometry Will give Brainlist

Answers

Direct answer :[tex]\color{plum}\boxed{\bold{\tt Statements :} } [/tex]segment AE and BD bisect each other. ∠BCA and ∠DCE are equal. Segment AC and segment CE are equal. Segment BC and segment CD are equal. △ACB≅△ECD

[tex]\color{plum}\boxed{\tt Reasons : }[/tex]Given. They are vertically opposite angles, so they are equal.The bisector BD divides segment AE into two equal parts which are Segment AC and segment CE.The bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.△ACB≅△ECD under the SAS congruence criterion because two sides and one included angle is equal.

Steps to derive these statements and reasons :

Given :

segment AE and segment BD bisect each other

Which means :

∠BCA and ∠DCE are equal because they are vertically opposite angles. Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.

Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .

The dimensions of a triangle with base 10 in. and height 4.8 in. are multiplied by 4. How is the area affected?​

Answers

Answer:

It gets 4 times larger.

Step-by-step explanation:

What two numbers have a sum of 142 and a difference of 16?​

Answers

Answer:

x=79,y=63 I have solve it in above picture

Needing some help please

Answers

Answer: Should be (4,0)

Step-by-step explanation:

What is the value of n when n = -4?

Answers

The answer is in your question.. figure it out!

Answer:

what the whole question

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