A garden is in the shape of a semicircle with a diameter of 40m. What is the area of the garden?
Use 3.14 as an approximation for IT
A 5,024 m
B 2,152 m²
C 1,256 m2
D 628 m²

A Garden Is In The Shape Of A Semicircle With A Diameter Of 40m. What Is The Area Of The Garden?Use 3.14

Answers

Answer 1

Answer: D) 628 m^2

==========================================================

Explanation:

Let's find the area of the full circle first. The radius is 20 meters, since that's half of the diameter 40. So we have r = 20.

We'll use pi = 3.14 as an approximation

A = area of full circle

A = pi*r^2

A = 3.14*20^2

A = 1256

This is the area of a full circle, but we want half of that because we want the area of a semicircle instead. Since your teacher put 1256 for choice C in there, it seems like that is a trick answer.

We'll divide 1256 over 2 to get 1256/2 = 628 square meters as the final answer, which is choice D.

We can abbreviate "square meters" into "m^2".


Related Questions

Please help asap !!!

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Answer:

i cant see it...........

Step-by-step explanation:

Are my answers right

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Answer:

yeah

Step-by-step explanation:

yeah looks good to me

Looks good to me bud

The height, in inches, of each of three boys is 54.0, 48.5, and 46.0, respectively. The height of the fourth boy is denoted by h inches. The average height, A, of the 4 boys can be expressed as a function of h in the form:
A(h) = (c + h)/d

1. What is the domain for the function A(h)?
2. The average height of all 4 boys is 50.5 inches. What is the height of the fourth boy?

Answers

Answer:

53.5

Step-by-step explanation:

c = the height of the first 3 boys.

c = 54 + 48.5 + 46

c = 148.5

Now you add a fourth boy. His height is h.

A(h)= (c + h)/d      

d = the total number of boys which is 4.

The new average is 50.5

A = (c + h)/d

50.5 = (148.5 + h) / 4            Multiply both sides by 4

202 = 148.5 + h                    Now subtract 148.5 from both sides

202 - 148.5 = h

h = 53.5

For brainiest:):):):):):)

Answers

For a.

While in the blueprint, each square is 1/4...in real life, it's 4 feet per square.

Meaning, the area of each square is (4 x 4) 16 square feet.

Since there are 8 squares/tiles in the bathroom...

...multiply 8 x 16 = 128 square feet in real life.

Multiply that with the cost, and since it costs $5 per square feet:

128 x 5 = $640 (answer)

For b.

Do it in similar steps.

Living room: 4 x 7 = 28 tiles

Bedroom: 4 x 5 = 20 tiles

20 + 28 = 48 tiles (in blueprint)

...multiply 48 x 16 = 768 feet square (in real life)

[Convert feet into yards...3 feet equals 1 yard]

a square yard would be 3 feet x 3 feet = 9 feet...

...divide 768 by 9

768 ÷ 9 = 85.33 square yards (rounded up)

Multiply that with the cost, and since it costs $18 per square feet:

85.53 x 18 = $1535.94 (answer)

Label Each triangle.

Answers

Answer:

1.) isosceles

2.) equilateral

3.) obtuse

4.) right

Find the height of a triangle in which base is 25cm and
area is 200cm2.

Answers

Answer:

16

Step-by-step explanation:

(200*2)/25=16

If discount rate is 12%, the present value of Rs X recieved at the end of each year for the next five years is equal to

Answers

Answer:

Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]

                        = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]

PLS HELP!! URGENT!!
PLS HELP ASAP​

Answers

Answer:

a.

perimeter of rectangular = 2 times length + 2 times wide = 2L + 2W = 2 (L + W)

since L is x m and W is y meter, then

perimeter = 2 (L + W) = 2 (x + y)

p = 2(x + y)

(the correct is actually this one

70 ≤ 2(x+y) ≤ 96

b. minimum perimeter

to find minimum perimeter, use the minimum length (which is 20) and minimum wide (which is 15)

p(min) = 2 * ( x(min) + y(min))

p(min) = 2 * (20 + 15)

p(min) = 2 * (35) = 70

c. maximum perimeter

to find maximum perimeter, use the maximum length (which is 30) and maximum wide (which is 18)

p(miax) = 2 * ( x(max) + y(max))

p(max) = 2 * (30 + 18)

p(max) = 2 * (48) = 96 m

factor 8m^6 - 64n^12p^15.
Pls only answer if u know what to do, don't waste my points

Answers

use photomath LOLLLLLLLL

Answer:

8(m^2  − 2n^4  p^5)  (m^4  +  2m^2  n^4  p^5  +  4n^8  p^10)

Step-by-step explanation:

um long explanation and im bad at explaining

can i have brainliest? =)

What is a disadvantage of using one method over another for solving a system of equation?

Answers

Answer:

It is that each method has different equations and not all of them can tell you what you are looking for

Step-by-step explanation:

If I helped can I get Brainliest

if you cycled for 3 hours and travelled 54 km calculate your average speed​

Answers

Answer:

162 km per hour

Step-by-step explanation:

Hi!

Speed=Distance x Time

So... 3 x 54 = 162

Hope this helps :)

Answer:

18km/h

Step-by-step explanation:

Well. Speed = Distance x Time

So if she travelled for 3 hours. In that time, she must have travelled 54km.

Average speed is given as kilometres per hour or km/h

So all we need to do is 54/3 which gives us 18km/h

I hope that helps! ^-^

Find the slope of the line that passes through the points (- 2, 3) and (7, - 4). A) -5 ,b) -9/7,C) -7/9 ,D) -1/5

Answers

Answer:

C) -7/9

Step-by-step explanation:

Do -4-3 (-7)

Do 7 - -2 (9)

Or in other words, just subtract the x to the other x, and the y to the other y (from right to left)

At the start of the show there were 2000 liters of oxygen in the
studio Now that we are 10 minutes into the show, there are 1950 liters. Is
someone. breathing in here? What is their rate of oxygen consumption in liters do
per minute?



please help​

Answers

Answer:

11,000

Step-by-step explanation:

PLSSS ANSWER QUICK
Find the expected value and standard deviation.

Answers

Answer:

1) E(X) = 1.5

2)SD = 1.118

Step-by-step explanation:

1) Formula for expected value of this set of data is;

E(X) = Σx * P(x)

Σx = 0 + 1 + 2 + 3 = 6

And P(x) = ¼

Thus;

E(X) = 6 × ¼ = 1.5

2) Formula for the standard deviation is;

SD = √Σ((x - μ)²•P(x))

Where μ is the expected value = 1.5

At x = 0,we have;

(0 - 1.5)² × 1/4 = 0.5625

At x = 1, we have;

(1 - 1.5)² × 1/4 = 0.0625

At x = 2, we have;

(2 - 1.5)² × 1/4 = 0.0625

At x = 3, we have;

(3 - 1.5)² × 1/4 = 0.5625

Thus,Σ((x - μ)²•P(x)) = 0.5625 + 0.0625 + 0.0625 + 0.5625 = 1.25

Thus;

SD = √1.25

SD = 1.118

pleaseee help me answer this question

Answers

Answer: use the radious

Step-by-step explanation:

Find the perimeter of the shape

Answers

Answer:    21

Step-by-step explanation:

add all the numbers together as many times as they are shown on the shape so 2.8=4 times

1.4= 2 times

and 3.5= 2 times


Determine the slope of the line that passes through each pair of points. Write in simplest form. (3,8) and (1,5)

Answers

Answer:

y = 3/2x + 7/2

Step-by-step explanation:

First, you need to find the slope.

y2 - y1 / x2 - x1

= 5 - 8 / 1 - 3

= 3/2

The slope is 3/2x.

To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b

y = 3/2x + b

8 = 3/2(3) + b

8 = 9/2 + b

7/2 = b

The equation y = 3/2x + 7/2.

Calculate the slope of the line shown on the graph using any two of the labeled points. Show your work on paper or in the box below.
(1,5)
(-1,-1)
(-2.4)
The slope of the line is

Answers

Step-by-step explanation:

Can you please attach the graph picture

Ben put $6,500 into a savings account that earns 2.5% interest each year. How much interest will he earn after 6 years in the savings account?

Answers

Answer:

$1,038

Step-by-step explanation:

the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).

2.5% as a decimal is 0.025

We will add that to 1, because when we earn interest, we are gaining money.

So we will substitute our given numbers into the equation:

y=6500(1.025)^6

solve:

y=$7,5638 (rounded)

That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount

75638-6500

$1,038

So he made $1,038 in interest

Lyle sliced a block of cheese along a diagonal into two triangular prisms as shown. Lyle says that the surface area of the block is 2 times the surface area of one of the triangular prisms. Do you agree? Explain your answer This is followed by: Refer to problem 5. Find the difference between the surface area of the two triangular prisms and the surface area of the surface area of the rectangular prism. Show your work. Help now plz!!!

Answers

Answer:

Step-by-step explanation:

I have attached an image to make question clearer.

(A) Yes, the surface area of the block is twice the surface area of one of the triangular prisms. This is because the block has opposite faces to be equal since it's a cuboid, also all it's faces to be made of rectangles, therefore cutting it from the diagonal makes two equal triangles. Hence, the two triangular prisms are the same and since they are the same, two of the prisms will make up the block again. In conclusion, the surface area of the block will be times two of one of the triangular prism's surface area.

(B) since the surface area of the block is times two of the surface area of the triangular prism. Then we should look for the area of the prism.

Surface area of cuboid is given as:

2(L x W + L x H + W x H)

L = 4.5, W = 3 and H = 4.

Surface area = 2(4.5*3 + 4.5*4 + 3*4) = 87

Since the surface area is 87, then the surface area of one of the two triangles will be

87/2 = 43.5.

A
49. OO at the right is inscribed in square ABCD and circumscribed
about square PQRS. Which is smaller, the blue region or the yellow
region? Explain.
P
s
R
50. Circles T and U each have radius 10 and TU = 10. Find the area of the
region that is contained inside both circles. (Hint: Think about where T
and U must lie in a diagram of OT and OU.)

Answers

I need help on the same one!!

help please! find m∠bcf

Answers

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

You have learned three ways for solving systems of equations: graphing, substitution and elimination.

Which method do you like best and why?

Answers

Answer:

Elimination

Step-by-step explanation:

Graphing takes too long, substitution can sometimes complicate things quickly, therefore I would use elimination as my prime method of solving systems of equations.

sovle the following inequalitiea for x. 3x - 5 ≥ 22

Answers

Answer:

x ≥ 9

Step-by-step explanation:

, i need help! no need to solve, i just need the equation

Answers

Answer:

280 is your answer

Step-by-step explanation:

need urgently giving 15 points

Answers

Answer:

-1, 0 and +1. Those are the only integer solutions.

neep help on this problem.

Answers

Answer: angle 1= 65 degrees, angle 2=115 degrees

Step-by-step explanation:

Both angles are complementary angles, or they together equal 180°, so you will add both expressions and set equal to 180. This will get you (3x+2)+(5x+10)= 180. We then solve for x.
8x +12 = 180. We subtract 12 on both sides.
8x = 168. We divide by 8 on both sides.
x=21
We can then plug x into each expression to get the angle for each.
Angle 1: 3(21)+2=65°
Angle 2: 5(21)+10=115°

PLEASE HELP I’L GIVE YOU BRAINLIEST

Questions:
1) What is the vertex?
2) What is the axis of symmetry?
3) What are the x-intercepts?
4) What are the y-intercept?
5) What is the ordered pair symmetric to the point (-1,-5)?

Answers

Answer:

Below.

Step-by-step explanation:

1.  Vertex is  (1, -9)

2. Axis of symmetry is x = 1.

3.  x-intercepts are at (-2,0) and (4,0).

4.  y-intercept is at (0, -8).

5. That is (3, -5).

Answer:

Vertex: In the geometry of plane curves, a vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extreme point of curvature.

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Y-intercept: In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

A^3 - B^3

a-b

5

Step-by-step explanation:

Hope this helps

How much should a retailer mark up his goods so that when he has a 50% off sale, the resulting prices will reflect prices will still reflect a 75% markup, (on his cost)

Answers

Answer:

250%

Step-by-step explanation:

Let initial Markup % = x

Sales price = 100% + x = (1 + x)%

50% off sale = (1+x)% - (1+x)% /2

Final price after 50% off sale = 1 + 0.75 = 1.75

Hence,

50% off sale = 75% price markup

0.5(1 + x) = 1.75

0.5 + 0.5x = 1.75

0.5x = 1.75 - 0.5

x = 1.25 / 0.5

x = 2.5

Hence, Markup on initial price should be 1.25 = (2.5 * 100%) = 250%

What is the volume of a cylinder, in cubic centimeters, with a height of 18 centimeters and a base diameter of 8 centimeters? Round to the nearest tenths place
Please helpppp lol

Answers

Answer:

904.8 centimeters

Step-by-step explanation:

1)identify variables

h = 18        d = 8

2)radius is half of the diameter

r = 4

3)use volume of a cylinder formula

V= PIEr^2h

4)substitute variables into formula

V=PIE(4)^2(18)  

5)multiply

V=  904.778684234

6)round to the nearest tenths place

V=  904.8 centimeters

yw:))

(The 'PIE' is supposed to represent the pie symbol but I don't have it on my computer.)

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