Find the area of the shaded region. Round to the nearest tenth.
Answer:
Step-by-step explanation:
r = 8.35 ft
area of circle = πr² = 69.7225π ft²
θ = 5π/9 radians
area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²
shaded region = 69.7225π - 26.51 ≅ 192.53 ft²
The area shaded region is found to be as 192.97 ft².
What is a circle?A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.
The centre of the circle does not lie on it.
The largest line segment that can be drawn inside a circle is its diameter.
For the given circle,
Radius is given as 8.35 ft.
And, the angle subtended by minor arc is 100°.
Then, the angle formed by major arc is 360 - 100 = 260°.
Noiw, the area of shaded region is given as below,
Area of the sector for major arc + Area of triangle
⇒ 260/360 × πr² + 1/2 × r²
Plug π = 3.14 and r = 8.35 to obtain,
⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²
⇒ 192.97 ft²
Hence, the area of the shaded region is obtained as 192.97 ft².
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A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height 6 m of and a radius of 5 m. The container will be made from steel (including its top and bottom). Suppose the total cost of steel will be $12,434.40. How much will the steel cost per square meter? Use for 3.14 for II, and do not round your answer.
Answer:
54
Step-by-step explanation:
Answer:
For oil container in the shape of a cylinder
radius (r) = 6 m
height (h) = 7 m
TSA of Cylinder
= 2πr ( r + h)
= 2 * 3.14 * 6 ( 6 + 7)
= 2 * 3.14 * 6 (13)
= 2 * 3.14 * 6 * 13
= 489.84 square meter
Now,
the total cost of the steel will be $18,613.92.
= 18613.92/489.84
= $38
Thus, The TSA of a cylinder is 489.84 square meter and $38 will the steel cost per square meter.
Grade For This Exam Selles
U 3 4 5 6
7
Grade For This Paper
3 4 5
9
6
7
8
9
Volume of a sphere = ter where r is the radius
A container is a hemisphere of radius 30 cm
a) Find the volume of the container.
14137.16694
cm3
(1)
Sand fills the container at a rate of 4500 cm3 per minute.
(2)
b) How long, to the nearest minute, will it take to fill the container?
12x30=15
12x 4/3tr2
12x4/3xTTX152
=113 -60 = 1.88mintues
Total marks: 3
Answer/Step-by-step explanation:
a. Volume of hemisphere = ½(⁴/3πr³)
r = 30 cm
Volume = ½(⁴/3 × π × 30³)
Volume = ⅔ × π × 27,000 = 56,548.6677 ≈ 56,549 cm³
b. 4,500 cm³ = 1 min
56,549 cm³ = (56,549 × 1)/4,500
= 12.5664444 ≈ 12.6 mins
I WILL MARK BRAINLIEST!! What is the value of x in this triangle?
Answer:
x = 2
Step-by-step explanation:
=============================================================
Explanation:
The tickmarks tell us which sides are the same length. This in turn tells us that points N and O are midpoints of LJ and LK respectively (since midpoints cut a segment in half). We consider segment NO to be a midsegment.
Recall that midsegments are half as long as the side they are parallel to. That means segment NO is half as long as JK. This reverses to segment JK being twice as long as segment NO.
-------------
JK = 2*(NO)
2x+8 = 2*(12)
2x+8 = 24
2x+8-8 = 24-8 .... subtract 8 from both sides
2x = 16
2x/2 = 16/2 ...... divide both sides by 2
x = 8
If x = 8, then 2x+8 = 2*8+8 = 16+8 = 24. This shows that segment JK is 24 units long which is double that of midsegment NO being 12 units long. This confirms we have the correct x value.
The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.12e0.10t million dollars (0 ≤ t ≤ 10) where t is time in years (t = 0 represents 1994). What was the average price of a two-bedroom apartment in this uptown area in 2002, and how fast was the price increasing? (Round your answers to two significant digits.)
Answer:
Step-by-step explanation:
Average price of a two bedroom apartment can be approximated by the equation,
p(t) = [tex]0.12e^{0.10t}[/tex]
Here, t represents the duration from year 1994.
Duration from year 1994 to year 2004 = 10 years
p(10) = [tex]0.12e^{0.10\times 10}[/tex]
= 0.12e
= 0.3262
≈ 0.33 million
Cost of the apartment in 2004 was 0.33 million.
Let the equation to calculate the rate of increase in the price is,
p(t) = [tex]0.12(1+\frac{r}{100})^t[/tex]
Cost of the apartment after 10 years = 0.33
0.33 = [tex]0.12(1+\frac{r}{100})^{10}[/tex]
[tex]\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}[/tex]
2.75 = [tex](1+\frac{r}{100})^{10}[/tex]
[tex](1+\frac{r}{100})=(2.75)^{0.10}[/tex]
1 + [tex]\frac{r}{100}=1.106[/tex]
[tex]\frac{r}{100}=0.106[/tex]
r = 10.6%
Therefore, price of the apartment is increasing with 10.6%
What ratio is an equal ratio of 1:3?
Answer:
Any ratio that can be simplified to 1:3
Step-by-step explanation:
Any ratio would work for this answer, but the ratio would have to simplify back to 1 to 3.
Here are some examples you could use:
2:6 = 1:3
3:9 = 1:3
4:12 = 1:3
6:18 = 1:3
7:21 = 1:3
10:30 = 1:3
Find the area of the composite figure above.
Answer:
Rectangle=216 since the formula a rectangle is BxH and the Triangle is 81 since the formula of a triangle is BxH/2
Step-by-step explanation:
so when you add them you will get 297 yd^2
PLEASE HELP
A bookstore buys 10 books for $67 each and sells them for $88 each. Estimate the bookstore's profit from selling the 10 books by rounding each fraction of a dollar to the nearest dollar.
Answer:
880 8 4/5
Step-by-step explanation:
9. Solve for x in the parallelogram below.
D
E
16x+2
50
с
F
Oo
10
O
3
05
Answer:
3
Step-by-step explanation:
50=16x+2
50-2=16x+2-2
48=16x
48/16=16x/16
3=x
A bakery used 35% more butter this month than last month. If the bakery used 240 kilograms of butter last
month, how much did it use this month?
You must show your work for full credit. Remember to include units.
Answer:
25%
Step-by-step explanation:
the bakery used 25% of butter.
Answer:
240 X 35% = 84
240 + 84 = 324
Step-by-step explanation:
Write 0.026 as a fraction
Answer: 13/500
Step-by-step explanation: Its pretty easy.
Distance and midpoint formulas
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuseAnswer:
Step-by-step explanation:
What is the volume of a sphere with a radius of 21 units?
O A. 9261 7 units
O B. 12,348 units3
O C. 5887 units
D. 37,04477 units3
Answer: D
Step-by-step explanation:
The volume of the sphere is 12,348 cubic units.
Option B is the correct answer.
What is a sphere?It is a three-dimensional figure.
The formula for the volume of a sphere is given by V = (4/3)πr³,
We have,
The formula for the volume of a sphere is given by V = (4/3)πr³,
where r is the radius of the sphere and π is a constant approximately equal to 3.14.
Substituting the value of r = 21 units, we get:
V = (4/3)π(21)³
V = (4/3)π(9261)
V = 154(3)(7²)
V = 22,562π cubic units (using 22/7 as an approximation of π)
Rounding to the nearest whole number, the volume of the sphere is approximately 12,348 cubic units.
Thus,
The volume of the sphere is 12,348 cubic units.
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what is the distance between 9 and -7
Answer:
16
Step-by-step explanation:
just turn them all positive and add
Can you guys help me please ASAP
Two Step Equation's and Inequalities -8=2-4y
What is the slope of line help please pleaseeee
Answer:
3/2
Step-by-step explanation:
Slope = rise / run
Rise: 3
Run: 2
Slope = 3/2
Answer:
Awnser: the slope is y=-3/1
what is the answer of4 ( 2x + 3) -2x
Answer:
x= 2
Step-by-step explanation:
Divide each term in
6
x
=
12
by
6
.
6
x
6
=
12
6
Cancel the common factor of
6
.
Tap for more steps...
x
=
12
6
Divide
12
by
6
.
x
=
2
Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls
Answer:
Step-by-step explanation:
The scatterplot above shows the number of hits and the
number of times at bat by each of 20 players on a major
league baseball team. The line of best fit for the data is
also shown.
For the player with 450 times at bat, the actual
number of hits the player had is approximately how
many fewer than the number of hits predicted by the
line of best fit?
A) 10
B) 20
C) 30
D) 10
The actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
How to interpret the scatter plot?From the complete question, we have the following highlight:
The blue line is the predicted number of hitsThe red line is the actual number of hits.From the graph, we have the following readings at x = 450
Actual readings y = 123 Predicted readings y = 113Calculate the difference
d = 123 - 113
Evaluate the difference
d = 10
Hence, the actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
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Which point satisfies the system of equations y=3x-2 and y=-2x+3?
Answer:
First line has y intercept -2 ( the blue line ) Second line has y intercept 3 ( the red line )The point where these two lines cross is "D"PLEASE HELP!!!! ASAP!!!
The coordinates of the vertices of a quadrilateral are P (1,2), R(1,4), S(3,4),
Quadrilateral PRST is reflected across the y-axis to create quadrilateral P’R’S’T’. Which rule describes the transformation?
Answer:
3/4
Step-by-step explanation:
trust
please helppp Which ordered pairs lie on the line shown in the graph?
864
28
CLEAR
SUBMIT
(-2,- 6.5), (0, -0.5), (1, 2.5), (2, 5.5)
(-6.5, -2), (-0.5, 0), (2.5, 1), (5.5, 2)
(2,6,5), (0, 0.5), (-1, -2.5), (-2, -5.5)
(6.5, 2), (0.5, 0), (-2.5, -1), (-5.5, -2)
0
Answer:
I think a option is correct
Step-by-step explanation:
because they are point on the graph
The percentage increase on an item is 9 %. The old price is R455.00 Calculate the new
price.
The formula for the volume of a pyramid is V=1/3 Bh. What is h expressed in in terms of B and V?
V = 1/3 * B * h /*3
V * 3 = B * h /B
V * 3 / B = h
h = V * 3 / B
I need to solve the equation to get x, can someone please help:(
Ariana invests $2,000 at a rate of 6% annual interest
compounded quarterly. Approximately how much is Ariana's
investment worth in 3 years?
I
Step-by-step explanation:
Compounded quarterly means n=4
No clue on how to do this
Answer:
parallelogram
Step-by-step explanation:
That's the answer....
If a 30-inch candle constantly burns 5 inches every minute, then at the end of what minute will the entire candle disappear?
Answer:
Step-by-step explanation:
pls help meeeee its easy but i cant think rn lol
Answer:
It is -3/4
Step-by-step explanation:
Coefficient : the number multiplied by d² in the equation
so it's ans is -3/4