Answers
Answer:
198.5 cm²
Step-by-step explanation:
From the figure above we can treat the two semi circles as 1 circle.
Now, the diameter is 10 cm
Thus;
Radius; r = 10/2
r = 5cm
Now, formula for area of a circle is;
A = πr²
Thus;
Area of 2 semi circles = Area of 1 circle = π × 5²
A_circle = 78.54 ≈ 78.5 cm²
When we take out the 2 semi circles, what we have left is a rectangle.
Now, the length of the rectangle will be;
Length; L = 22 - 5 - 5 = 12 cm
*This is because the radius of the semi circle is 5 and distance from the edge of the 22 cm length to the centre of the semi circle is 5 cm
Thus, area of rectangle is given by;
A_rect = LW
W in the image is 10 cm
Thus;
A_rect = 12 × 10
Total area of shape is;
A_total = 120 + 78.5
A_total = 198.5 cm²
Related Questions
WILL GIVE BRILLIANTIEST!
A small town voted to decide if a road should be expanded from two lanes to four lanes. The two-way table below shows the
results of the vote.
Favor
Oppose
Neutral
Total
33
12
46
91
45
15
36
96
Age
18-25
Age
26-40
Age
40+
Total
10
29
24
63
88
56
106
250
Which correlation does the two-way table suggest?
A Voters age 40 and over are least likely to favor road expansion.
B. The majority of the voters are most likely to favor road expansion
c. Voters between the ages of 26 and 40 are most likely to oppose road expansion
D.
Voters between the ages of 18 and 25 are least likely to favor road expansion
Answers
Answer:
the answer is D because it makes the most sense
Answer:
A.......,..............
what is 2 +2 this 65 points.
Answers
Answer:
4
Step-by-step explanation:
2 + 2 = 4 lol
HELP PLEASE PLEASE!!!
Answers
2.) area of US paper = 603.22cm
area of Europe paper = 623.7cm
therefore the standard sheet of Europe paper has a greater area
hope this helps :)
Lena drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles.
Answers
Answer:
13.6 gallons
Step-by-step explanation:
Miles Driven = Gallons Burnt * Miles Per Gallon
So if yo drive 20.88 miles on one gallon how many gallons does it take to drive 284 miles. This is 284/20.88 = 13.6 gallons
Whilst the numerical answer is correct the previous answer, it does not maintain the validity of the units - in which things are measured. You will see this is very important in science
What can we learn from this. As an intermediate step we have learnt that the car does 20.88 mpg, lets call it 21. So a car that has a sticker at the show room with an MPG of more than 21 will consume less gas and one that has a smaller mpg will consume more.
Two fair dice are rolled at the same time. What is the probability that one die will show 3 and the other will show 4? A. 1/36
B. 1/18
C. 1/12
D. 1/6
Answers
Answer:
1/36
Step-by-step explanation:
There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.
Name an independent variable that's used for a laptop computer to work.
Answers
Answer:
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.
Step-by-step explanation:
what is the solution or -3y+1≥7
Answers
the answer is
[tex]y \leqslant - 2[/tex]
Please help!! I will be marking brainliest
Answers
Answer:
DVDs= $16.2
CDs = $11.9
Cassettes = $11.4
Step-by-step explanation:
Solve the following system of equations for x using elimination
4x + y = 2
x - y = 3
A. -2
B. 1
C. 3.
D.4
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
b 1 ksoeoeskmx
Step-by-step explanation:
ksowoxk374
What is an equation of the line that contains the point (0, -5) and a slope of 1/4
Answers
Answer:
y=1/4x-5
Step-by-step explanation:
Answer:
y = 1/4x - 5
Step-by-step explanation:
y = mx + b is the equation of a straight line.
m = slope, b = y intercept. (y intercept is the point where the line of the graph crosses the y axis)
(0, -5) is the y intercept (if you were to graph this point, it would be on the y axis, fitting the previous description)
the slope is 1/4
replace each variable in the equation, and you get:
y = 1/4x - 5
28 is 12 less than k equation
Answers
what is 30 divided into the ratio of 7:8
Answers
WILL GIVE BRAINIEST!!!!!!
Answers
Answer:
The answer is y = x
Hope this helps!
Choose the equation that shows the relationship of 80%, x, and 100.
Answers
Answer:
chipset buy showroom de en inglés
What is the result when 4x^4+17x^3+10x^2-7x+184x
4
+17x
3
+10x
2
−7x+18 is divided by x+2x+2?
Answers
Answer:
-5x+18/x+2
Step-by-step explanation:
I'm pretty sure it's the answer
what is the answer to this question
Answers
Answer:
the height is 4
Step-by-step explanation:
it is a right triangle and also a perfect 3-4-5 right triangle
[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]
[tex]9 + {h}^{2} \: eqauls \: 25[/tex]
subtract 9 from 25
[tex] {h}^{2} \: equals \: 16[/tex]
then you square root 16
[tex] \sqrt{16} [/tex]
and now you height is 4
What is the distance between points (7,2) and (-4,2) on the coordinate plane?
help? please? maybe?
Answers
2. Identify the measure of angle x. (Write your answer in number form only, 1 point
for example 8. No degree symbol). *
73
Answers
Steps are on paper
Answer:
17
Step-by-step explanation:
A rock is thrown down from a cliff that is 180 m high. The function
h(t) = -5t^2 – 10t + 180 gives the approximate height of the rock
above the water, where h(t) is the height in metres and t is the time
in seconds. When will the rock reach a ledge that is 105 m above
the water?
Answers
Answer:
t = 3
Step-by-step explanation:
105 = -5t^2 -10t + 180
-75 = -5t^2 -10t
15 = t^2 +2t
t^2 +2t -15 = 0
(t+5)(t-3)
t = -5, 3
There's no such thing as negative time so you use the positive answer
Geometry pls help thanks
Answers
Answer:
x=30
Step-by-step explanation:
it is an equilateral triangle, so all angles are the same. each angle is 60 degrees. 60/2 is 30, so 30 degrees is the answer.
Help me plssss pls help plsss
Answers
Answer:
Step-by-step explanation:
5) Diameter of the circle = 2 * 11.5 = 23 in
6) Radius of the circle = 11.5 in
7) Circumference = πd = 3.142 * 23 = 72.26 in
8) Area = πr² = 3.142 * 11.5 *11.5 = 415.48 in²
Lines a b c and d are shown below. Which lines are parallel? Which line are perpendicular? Explain and jutsify your answer using slopes
Answers
Answer:
Lines A and C are parallel
Lines B and D are perpendicular
Step-by-step explanation:
Given
See attachment for lines A to D
Required
Determine the parallel and perpendicular lines
To start with, we calculate the slope of each line.
Line A
The points on line A are:
[tex](x_1,y_1) = (3,-4)[/tex]
[tex](x_2,y_2) = (-1,2)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]
[tex]m = \frac{2 +4}{-4}[/tex]
[tex]m = \frac{6}{-4}[/tex]
[tex]m_1 = -\frac{3}{2}[/tex]
Line B
[tex](x_1,y_1) = (-1,8)[/tex]
[tex](x_2,y_2) = (2,6)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]
[tex]m = \frac{-2}{2 +1}[/tex]
[tex]m_2 = -\frac{2}{3}[/tex]
Line C
[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]
Open bracket
[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]
[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]
[tex]y - 9 = -\frac{3}{2}x -12[/tex]
Make y the subject
[tex]y = -\frac{3}{2}x -12+9[/tex]
[tex]y = -\frac{3}{2}x -3[/tex]
The slope intercept of an equation is: [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m_3 = -\frac{3}{2}[/tex]
Line D
[tex]12x - 8y = 40[/tex]
Subtract 12x from both sides
[tex]12x-12x - 8y = -12x+40[/tex]
[tex]- 8y = -12x+40[/tex]
Divide through by -8
[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]
[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]
[tex]y= \frac{3}{2}x-5[/tex]
The slope intercept of an equation is: [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m_4 = \frac{3}{2}[/tex]
So, the slopes of the lines are:
[tex]m_1 = -\frac{3}{2}[/tex] [tex]m_2 = -\frac{2}{3}[/tex] [tex]m_3 = -\frac{3}{2}[/tex] [tex]m_4 = \frac{3}{2}[/tex]
Lines with the same slope are parallel.
So:
Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel
Lines with the following relationship are perpendicular:
[tex]m * M = -1[/tex]
Lines B and D are perpendicular because:
[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]
[tex]-\frac{6}{6} = -1[/tex]
[tex]-1 = -1[/tex]
If a 176-ounce fish consumes a 112-ounce fish in a single gulp, how much does the first fish weigh-in tons?
Answers
Explanation
176+112= 288 ounces
288/32000=0.009
32000 oz= 1 ton
i don’t understand anything online school is hard.
Answers
use the pythagorean therom
Kendra plans to go to the gym on 15 different days this month.
• A one-day pass to the gym is $3.75.
• A monthly membership to the gym is $39.00.
How much money will Kendra save by buying a monthly pass?
$17.25
$16.75
$16.25
$15.75
Answers
Answer:4 answer
Step-by-step explanation:
Larry is collecting one coin each year from 1952 to 2000. If Larry has collected 40% of the coins, how many does he have left to collect?
Answers
Answer:
29 coins
Step-by-step explanation:
Larry needs to collect [tex]60\%[/tex] of the coins still [tex]0.6[/tex]. [tex]2000-1952=48(+1)[/tex] because you're including 1952 [tex]=49[/tex]. [tex]49×0.6=29.4≈49[/tex].
z
Which of the following congruency statements is
correct?
2.4 cm
108
2.4 cm
O AYZX - ABCD
Y
36°
36
Ο ΔΥΖX2 ΔDCB
3.8 cm
Ο ΔZXΥ: ΔDCB
Х
O AYXZ – ACDB
B
3.8 cm
136
2.4 cm
36°
С
1089
2.4 cm
D
Orange
Answers
Answer:
the answer is c
Step-by-step explanation:
Arithmetic sequence of -10,8,26
Answers
Answer:
the sequence is going up by 18
Dont need awnser just explain
Answers
Answer:
i am just standing here
Step-by-step explanation:
What is the area of the circle? *
10 ft
31.4 square feet
78.5 square feet
314 square feet
15.7 square feetT
Answers
Answer:
The answer is 314.159 which can be rounded to 314.