The length of the arc of semi circle is 15 cm calculate the area of the semi circle ?

Answers

Answer 1

Answer:

The area of the semi-circle is 35.8 cm².

Step-by-step explanation:

The length of the arc is given by:

[tex] s = r\theta [/tex]   (1)

Where:

s: is the length of the arc of semi-circle = 15 cm

r: is the radius

θ: is the angle in radians    

Since we need to calculate the area of the semi-circle, the angle is:

[tex] \theta = \frac{360}{2} = 180 = \pi [/tex]  

From equation (1) we can find the radius:

[tex] r = \frac{s}{\theta} = \frac{15}{\pi} [/tex]    

Now, the area of the semi-circle is:              

[tex] A = \frac{\pi r^{2}}{2} = \frac{\pi (\frac{15}{\pi})^{2}}{2} = 35.8 cm^{2} [/tex]

Therefore, the area of the semi-circle is 35.8 cm².

I hope it helps you!                          


Related Questions

How many solutions does 3(4x - 8) = -24 + 12x have?

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Jacob wrote the number 3.555x10.5 in standard form. What number did he write?

Answers

Answer:

37.3275

Step-by-step explanation:

I just put it on the calculator :)))))

A dolphin swam 712 miles in 38 hour. What was its average speed in miles per hour (mph)?

Answers

To find miles per hour you divide the number of miles by the number of hours

(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph

Simone used 2 1/3 kilograms of flour to bake a cake . She used 4/5 kilograms of flour more to bake a second cake. How much flour did she use to bake the second cake?​

Answers

Answer:

3.13 kilograms used for the second cake

Step-by-step explanation:

because the fractions have different denominators you have to multiply the denominators together to figure out what to change them too. but instead you can just figure out what the decimal for each is. 1/3 is 0.33, and 4/5 is 0.80. all you do is add these together to get 1.13. so now all you do is add 2+1.13 to get 3.13.

If x=17 which equations is true?
A. 2(x-3)=31
B. 3(25-x)=24
C. 3(15-x)=6
D. 2x-3=28

Answers

it’s the equation B.

I need help with
(6 + 4)² ÷ 4 – 8 + 6 · 8 and 16 + 3(8 + 2) + 6² ÷ 9
show work please!

Answers

better do gemdas sis

What is the value of -2(x+5) Please I'm in need of help

Answers

Answer:

-2x - 10

Step-by-step explanation:

-2 x X = -2x

-2 x 5 = -10

Put them together to get:

-2x - 10

Answer:

-2(x) or (-2×x)

then you get = -2x

then you take

-2×+5 or (-2×5) you'll get = -10

last but not least you join the equation

and the answer will be

= -2x-10

A wire is bent into semicircles. How long is the wire to the neared hundredth? The diameter is 32 cm

Answers

Answer:

200.96

Step-by-step explanation:

2πr is the perimeter or circumference of a circle

.

diameter is 32cm so radius=16cm

2*3.14*16=100.48cm is long

The students in Ms. Gonzales' fifth grade math class earned the following grades on their first test: 46, 56, 64, 64, 72, 76, 77, 82, 94, 96,99 What was the mean of the grades? (round to the nearest whole number) A. 826 OB. 75 O c. 76 OD. 64 O E 83​

Answers

Answer:

75

Step-by-step explanation:

mean = average so add up all your numbers, then divide by the amount of numbers so

46 + 56 + 64 + 64 + 72 + 76 + 77 + 82 + 94 + 96 + 99 = 826

826 ÷ 11 = 75.09 (about)

Find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

26x + 10x = 180°

36x = 180

x = 180/36

x = 5

Does anyone wanna trade in adopt me Imao or have like sum really good pets yall wanna give me cuz I’m amazing tehe anyways I’m u wanna my user is Matrix0425

Answers

Answer:

ill awnswer 4 that person that wants brainliest

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Please someone just explain this to me right I will give you brainlest if you pit down the explanation on how you got that.

Answers

Answer: w = 2

Explanation: To find the slope of a line, we use the formula y = mx + b, where m is the slope and b is the y-intercept. Since there is a variable, w, we can use this formula: m = 7 + w.

We know that m, or the slope of the line, is 9. If we substitute the value of 9 into that equation... we should get 9 = 7 + w.

It's simple mathematics from here.

7 plus what is 9?? 2. That's your answer. If you need help with slope-intercept and rate of change WITHOUT variables (besides x and y, of course), feel free to let me know!!

Where did I get that 7?

Usually, we use the slope formula to find the slope of a line when we know two points on the line. But if we already know the slope of a line, we can use the slope formula to find a missing coordinate of a point on the line.

We will be using this formula: y - y₂ = m(x - x₁)

This equation is useful when we know:

one complete coordinate point (x₁, y₁)and the slope of the line (m)

and we want to find the other point.

(x₁, y₁) is the known point. In our example, it's (-7,-7).

(x, y), sometimes written as (x₂,y₂), is (-6, w) and represents the missing coordinate.

EXAMPLE (SEE IMAGE):

slope (m) = 3

y − y1 = m(x − x1)

We know m, and also know that (x1, y1) = (3,2), and so we have:

y − 2 = 3(x − 3)

That is a perfectly good answer, but we can simplify it a little:

y − 2 = 3x − 9

y = 3x − 9 + 2

y = 3x − 7

EXAMPLE IMAGE:

-2/5 + 1 1/3 find the sum

Answers

Answer: =14/15

Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please!

Pls help ASAP!!!
Buffy attends a night school, and the ages of the people in his study group are: 42, 55, 36, 41, 38, 33, and 46. What is the best estimate of the population mean for ages of night school attendees? Enter your answers rounded to the nearest tenth.

Answers

Answer:41.6

Step-by-step explanation:

Pythagorean Theorem Digital Escape Puzzle 5,Need Answer Immediately!!!

Answers

Answer: a = 6.53

Step-by-step explanation:

Answer: its HCFD i just did it

Step-by-step explanation:

In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.
Find RV and m ZVUR.
R
S
U
T

Answers

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

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

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = [tex]\frac{180-84}{2}[/tex] = [tex]\frac{96}{2}[/tex] = 48°

Jenny works at a video store. She earns
$6.25 an hour plus $6 for each
membership she sells.
Write a formula that will help Jenny
determine how much she will earn in one
week.
Let's let
a = total amount earned
h = hours worked in one week
b = number of memberships sold in one week

Answers

Answer:

You're answer would be 6.25h+6b=a

Mr. Eng brought different kinds of fruit drinks to his class picnic.
Fruit Drinks
16
14
12
10
1.11,
.
Apple
Grape
Peach
Lemon Orange
Kind of Drink
How many more orange drinks than apple and grape drinks did Mr. Eng bring?
O A 4
OB. 5
O C.9
O D.11
OE.15

Answers

Answer:

A

Step-by-step explanation:

estimate 12 8/9 - 10 1/6

Answers

Answer: 49/18

Step-by-step explanation:

Amal designed a silver necklace pendant in the shape of a cone. The slant height of the cone is 5 millimeters, and the radius of the cone is 3 millimeters. What is the volume of the silver pendant, rounded to the nearest tenth? Use 3.14 for π

O 37.7 mm³
O 113.0 mm³
O 47.1 mm³
O 141.3 mm³

Answers

Answer:

i dont know exacly but i know its not 141.3

Step-by-step explanation:

i put that answer and got it wrong

Answer:

37.7

Step-by-step explanation:

Which of the following trigonometric ratios are correct?

Answers

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

sinA = opposite/hypotenusecosA = adjacent/hypotenusetanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

tan50° = d/ccos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

The product ( the result of a multiplication problem ) of 2 rational expressions is x+22x−3 with the restrictions x≠– 3, x≠32, x≠4 and x≠ 5. Find an expression that meets the criteria. You may leave your answer in factored form.

Answers

Answer:

x + 22x - 3 = 4 (5x) + 3 (x-1)

Step-by-step explanation:

x + 22x - 3  

23x - 3

20x + 3x - 3

5x + 15x + 3x - 3

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

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

Plz answer i will give brainliest!!!!

Answers

It most likely has a 0.3 chance

Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined

Answers

Answer:

Its A

Step-by-step explanation:

Because if you add 3+5 that is 8 so 8/8

A triangle has sides with lengths of 72 inches, 78 inches, and 30 inches. Is it a right triangle?

Answers

Right triangles cant be found with the lengths of the sides of the triangle it’s the degrees of the actual Angles within the triangle a right triangle has at least one 90 degree angle

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 78 and 78² = 6084

72² + 30² = 5184 + 900 = 6084

Then the triangle is right

A trebuchet launches a projectile from a hilltop 30 feet above ground level on a parabolic arc at a velocity of 40 feet per second. The equation h=−16t2+40t+30
models the projectile's h height at t seconds. How long will it take for the projectile to hit its target on the ground (to the nearest tenth of a second)?


2.8 seconds


3.1 seconds


3.5 seconds


3.9 seconds

Answers

3.5 seconds!



hope this helps you out, and i’m sorry if i’m wrong!

a) (-6)* = -6° b) (-3) = -3$ c) 82 = (-8)
[tex]( 5 + 4 {)}^{2} = {5}^{2} + {4}^{2} [/tex]

Answers

Answer:

pues yo pienso que es 8 es que no se muy bien

the volume of the cylinder above is 2,119.5^m3 what is the radius of the cylinder​

Answers

Answer:

7.5

Step-by-step explanation:

Pi * r^2 * 12 = 2119.5

r^2 = 56.25

r = sqrt(56.25) = 7.5

simplify 3+4(y-7)+5y​

Answers

Answer:

9y-25

Step-by-step explanation:

Answer:

9y-25

Step-by-step explanation:

Math

Simplify (2.2 x 10')= (1 104) and write the
answer in scientific notation.
a. 2.2 x 10°
b. 22
c. 2.2 x 1011
d. 2.2 x 10?

Answers

Answer:

2.2 × [tex]10^{11}[/tex]

Step-by-step explanation:

2.2 × [tex]10^{7}[/tex] + 1 × [tex]10^{4}[/tex]

2.2 × 1 = 2.2

7 + 4 = 11

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