Question 39 of 40
The circle below has a radius of 8 centimeters. What is the area of the shaded
region?
X
120°
8 cm
OA. 32 square centimeters
B. 8 square centimeters
64
3
square centimeters
square centimeters
O C.
O D.
16
3
Answers
Convert angle to radians
120=2π/3So
Area
r²Ø/28²(2π/3)(1/2)64π/3cm²Answer:
[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]
Step-by-step explanation:
Formula
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]
Given:
[tex]\theta[/tex] = 120°r = 8 cmSubstitute the given values into the formula and solve for Area:
[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]
Related Questions
how to turn 8000 ÷ 5 = 1600 in too an equation like[tex]\sqrt[5]{8000}[/tex] or just a step by step explanation
Answers
Answer:
Here is the long division
Step-by-step explanation:
Work out the surface area of this cylinder
Diameter is 12 cm
Height is 25 cm
Answers
Answer:
The surface area of this cylinder is 1168.67
Step-by-step explanation:
To find the surface area of a cylander use this formula
A = 2π[tex]\frac{d}{2}[/tex]h+2π([tex]\frac{d}{2}[/tex])²Plug in
A = 2 × π × [tex]\frac{12}{2}[/tex] × 25 + 2 × π × [tex]\frac{12}{2}[/tex]²Answer is 1168.67
24. Use the intercepts to graph the equation.
Answers
Answer:
See below ~
Step-by-step explanation:
Finding x-intercept
Take y = 02x - 5(0) = 102x = 10x = 5x-intercept is at (5, 0)Finding y-intercept
Take x = 02(0) - 5y = 10-5y = 10y = -2y-intercept is at (0, -2)Graph (with points marked)
Step-by-step explanation:
[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]
when y=0,-2,2,-4,4
then x=5,10,0,15,-5,
What is an estimate for the square root of 150? (Do not find the exact value) Show work
Answers
Answer:
Somewhere between 12 and 13, perhaps 12.25
Step-by-step explanation:
This is a (rather) simple explanation:
Look for 2 square numbers that are either side of 150
In this case, it is 144 and 169
The square root of 144 is 12 and the square root of 169 is 13
Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.
As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)
Find the slope and y-intercept of the graph of the equation.
y = 8x +9
Answers
Answer:
Slope = 8
Y-intercept = (0, 9)
Step-by-step explanation:
Slope-intercept form of an equation :
y = mx + bm = slopeb = y-interceptTherefore, on comparing with the given equation :
Slope (m) = 9Y-intercept (b) = (0, 9)4.
Triangle DEF is shown below.
E
19-6 m
I
10-4 m
13-2 m
D
It has sides of length 10.4metres, 13.2metres and 19.6metres.
Calculate the size of angle EDF.
Answers
Answer:
111.75 degrees
Step-by-step explanation:
EDF = cos^-1((b²+c²-a²)/2bc)
EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))
EDF = 111.75 degrees
A triangle has sides with lengths of 20 yards, 48 yards, and 52 yards. Is it a right triangle?
yes
no
Answers
Yes
Step-by-step explanation:
Because the sides of this triangle follow the Pythagorean Theorem.
i.e.
[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]
[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]
How do you decompose the number 120 into a prime number
Answers
Answer:
But it not a prime number :( maybe divide
Step-by-step explanation:
HELPPP!! I’ll give brainliest
Answers
Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
Answers
Answer:
there are 120 slices of orange.
Step-by-step explanation:
The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.
Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)
Answers
Answer:
Exact Form:
- 31/80
Decimal Form:
-0.3875
Step-by-step explanation:
hope this helps
sorry if wrong
Answer:
-0.3875
Step-by-step explanation:
Pa Brainless
Hi pls how do I find the volume of a short cylinder
Answers
Answer:
You find the volume of a cylinder with the formula of π × r² × h
What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?
Answers
Answer:
45.6 x 10^3
Step-by-step explanation:
76 can be expressed as 7.6 x 10^1.
Now, you can multiply the two values together.
7.6 x 6.0 is 45.6.
Then, add the two exponents together:
1 + 2 = 3
45.6 x 10^3
What is the answer please?
Answers
Step-by-step explanation:
optically, they are congruent.
so, it must be a reflection followed by a translation.
there is no 90° rotation. and the result cannot be created only by a reflection.
26. Each weekday, 3,200,000 people in Massachusetts
commute to work. Of the total commuters, 403,200 take
public transportation. What percentage of commuters take
public transportation?
Answers
Answer: 12.6%
Step-by-step explanation:
403,200/3,200,000 = 0.126
0.126 = 12.6%
a water barrel that had 4 gallons of water is being filled with water at a rate of 4 gallons per minute . write a function
Answers
Answer:
y=4x+4
Step-by-step explanation:
using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.
Can someone please help me solve this? I’ll give you a brainliest pls!!!
Answers
Answer:
1. 84º
Step-by-step explanation:
1. CEB = 180º - 96º
CEB = 84º
you do the rest
question 1. write the product using exponents
Answers
Answer:
(- 0.9)³
Step-by-step explanation:
(- 0.9) × (- 0.9) × (- 0.9)
= (- 0.9)³
PLEASE I NEED YOUR HELP ASAP!!!!!
Answers
Answer:
7/2 ≤ x < 4
Step-by-step explanation:
When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.
__
Inequality solution5 -x > 2x -7
12 > 3x . . . . . add x+7
4 > x
domain restrictionsThe domain of f(x) requires that its argument be non-negative.
5 -x ≥ 0 ⇒ x ≤ 5
2x -7 ≥ 0 ⇒ x ≥ 7/2
full solutionTogether with the domain restriction on f(x), the solution to the inequality is ...
7/2 ≤ x < 4
Fill in the missing number. 50% of ????= 13
Answers
PLEASE HELP ASAP
If (x + 3)2 = 42, what is the approximate positive value of x?
A) 0.48
B) 3.48
C) 5.48
D) 6.48
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution of the expression (x+3)²=41 can be found as shown below,
(x+3)²=42
(x+3)=√42
x+3=6.48
x = 3.48
Hence, the value of x is 3.48.
Learn more about Expression:
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CAN SOMEONE PLASE HELP ME WITH THIS PROBLEM
Answers
Answer:
Step-by-step explanation:
Aaron flips a coin three times, how many outcomes have only one head?
1
2
3
4
Answers
3
Step-by-step explanation:
there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.
A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up
Answers
Answer:
$102.00
Step-by-step explanation:
Simply multiply 68 by 50 percent
68 × 50% or 68 × .5 = 34
so . .
Add 68 + 34 = 102
What value for c completes the square for the quadratic x2 + 12x + c?
Answers
The value for c is 36 which completes the square for the quadratic x² + 12x + c.
What is a quadratic equation?The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.
Here we have the equation
=x²+12x+c
=x^2+12x+36
=x^2+6x+6x+36
=x(x+6)+6(x+6)
=(x+6)(x+6
=(x+6)²
hence value for c is 36 which completes the square for the quadratic x² + 12x + c.
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Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to
decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.
Answers
Answer:
See below ~
Step-by-step explanation:
Based on the Ideal Gas Equation,
V ∝ TV ∝ 1/PUsing T :
V₁/T₁ = V₂/T₂200/300 = 100/T₂T₂ = 100/200 x 300T₂ = 0.5 x 300T₂ = 150 KUsing P :
P₁V₁ = P₂V₂100 x 200 = P₂ x 100P₂ = 200 kPaHe can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.
What is the volume of the triangular right prism?
(7.3ft
7 ft-
10 ft
4 ft
A. 140 ft3
B. 280 743
c. 1,022 ft3
D. 2,044 ft3
Answers
Answer:D
Step-by-step explanation:
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284? A 29,831
B 42,938
C 298,893
D 326,894
Answers
Answer:
it's option B 42,938
Step-by-step explanation:
in the question the value of 2 in 135,284 is 200
200× 10 =2000
therefore the number with 2 in thousands place is option B 42,938
[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]
Answers
Answer:
14th term
Step-by-step explanation:
12÷10 = 1.2
14.4÷12 = 1.2
17.28÷14.4 = 1.2
Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’
We call it (Vn)
The general term of the sequence:
Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹
To determine the term at which the sequence exceeds 100 we have to solve the equation:
Vn ≥ 100
⇔ 10×(1.2)ⁿ⁻¹ ≥ 100
⇔ (1.2)ⁿ⁻¹ ≥ 100/10
⇔ (1.2)ⁿ⁻¹ ≥ 10
⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)
⇔ (n-1)×ln(1.2) ≥ ln(10)
[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]
[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]
Verification:
[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]
Estimate
754÷13
Hurry up please
Answers
Answer:
754 divided by 13= 58
I hope this Helps! ;)