Two semicircles are placed in a rectangle, as shown below. The length of the rectangle is 48. And do not round your answer. Be sure to include the correct unit in your answer.Find the area of the shaded region. Use the value 3.14 for , a
Answer and Step-by-step explanation:
Firstly, we should note that the rectangle given is a square. This is because, the diameter of the semicircle is the same horizontally and vertically
Since the length of the rectangle is 48, it means the radius of each semi circle is 24.
The area of one semicircle will be:
0.5πr²
Where r = 24 and π = 3.14
0.5 x 3.14 x 24 = 37.68 square units
Since we have two semicircles, then the area of both will be:
37.68 x 2 = 75.36 square units.
To find the area shaded portion. Since I cannot see the diagram, there are two possibilities. If the shaded potion is just the two semicircles, then the area is 75.36 square units. But if the shaded portion is what ever remains after taking out the semicircles, then the area would be:
48² – 75.36 = 2133.64 square units.
Pls, it’s for a test , ;< . I Wanna actually Get a good grade. PLS HELP you will get 20 points
Solve y3 = 27.
A. y = 5.2
B. y = 9
C. y = 3
D. y = 3 y= 3
Answer:
The answer is y=3
There are 20 children in a class 45% are girls, How many girls and boys are there?
Answer:
Step-by-step explanation:
each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys
The number of girls is 9 and the number of boys is 11.
Important information:
Total number of students = 2045% of total students are girls.Percentage:Using the given information, the number of girls is:
[tex]20\times \frac{45}{100}=9[/tex]
Now, subtract the number of girls from the total number of students.
[tex]20-9=11[/tex]
Therefore, the number of girls is 9 and the number of boys is 11.
Find out more about 'Percentage' here:
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Another car dealership sells a truck for the wholesale price of $12,000. During a special sales event, the dealership offers a 10% discount off of the price. After the discount, how much will a customer pay for this vehicle? Show your work.
Answer:
$10,800
Step-by-step explanation:
Given that:
Wholesale price of the truck = $12,000
At the special sales event, the discount offered on the price = 10% of the wholesale price
Therefore the discount can be calculated as follows:
10% of Wholesale price
Wholesale price is given as $12,000.
[tex]\Rightarrow \dfrac{10}{100} \times 12000\\\Rightarrow \bold{\$1200}[/tex]
Now, we have to find the price to be paid by customer after the discount being offered due to the special sales event.
Discounted price = Wholesale price - Discounted offered due to special sales event.
Discounted price = $12000 - $1200 = $10,800
Therefore, the answer is:
$10,800
What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?
Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
2x - y = 3 → (1)
x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by subtracting x from both sides
y = 3 - x → (3)
Substitute y = 3 - x into (1)
2x - (3 - x) = 3
2x - 3 + x = 3
3x - 3 = 3 ( add 3 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
substitute x = 2 into (3) for corresponding value of y
y = 3 - 2 = 1
Solution is (2, 1 )
HELPPPP. For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
(-4,3)
(-3, -4)
(-4,-3)
(3-4)
Answer:
option c
Step-by-step explanation:
because the y intercept is -3
in triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c
4x+28-12x=32 need it asap
Answer: look below.
x = −1/2
Answer
x=-0.5
Step-by-step explanation:
4x-12x=32-28
-8x=4
x=-0.5
Find the sum of the following arithmetic series.
8 +13+ 18+23+ ... + 83
The sum of this series is
(Simplify your answer.)
Answer:
its literally +5
Step-by-step explanation:
13-8= 5
18-13=5
23-18=5
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
4:5
Step-by-step explanation:
I'm 99% percent sure this is correct
Answer:
45 is equivelent in ruduces form
Step-by-step explanation:
To reduce this fraction, simply divide the numerator and denominator by 2 (the GCF). So, 810 = 8÷210÷2 = 45.
#4 Where is 44 on the number line?
A) At 22.
C) Between 6 and 7, but closer to 6.
B) Between 6 and 7, but closer to 7
D) Between 7 and 8, but closer to 7.
Answer:
B), Between 6 and 7, but closer to 7
Step-by-step explanation:
The square root of 44 is around 6.6, so closer to 7
You can prove this by multiplying 6.6 by itself
6.6 x 6.6 = 43.56
What is the probability of tossing two coins and having them both land on heads?
50%
33.3%
75%
25%
Answer:
25%
Step-by-step explanation:
Since there are two coins, it's 50%, and since there are two sides to choose from, that would mean 25%. There's a 25% chance either will lie on heads, tails, or both heads or both tails.
Answer:
25%
Step-by-step explanation: because one coin landing on heads is 50%, but since there are two coins you cut 50% in half
Plz help me with this
Answer
C
Step-by-step explanation:
open circle means not included
which of the following equations represents the graph?
A. y = 3/4x - 3
B. y = 3/4x + 4
C. y = 4/3x - 3
D. y = 4/3x + 4
Answer:
D) 4/3 x + 4
Step-by-step explanation:
The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).
The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept
Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.
y2 - y1/x2 -x1
0 - 4/-3 - 0
-4/-3 = 4/3
Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.
The answer is 4/3x + 4.
Joe and his friends watched a total of 41 movies this past year. If a typical movie lasts approximately 2 hours,
Answer: He and his friends spent 82 hours of watching movies.
Step-by-step explanation:
Answer:
huh?
Step-by-step explanation:
y=3x+5 6x - 2y = -10
Answer:
Parallel?
Step-by-step explanation:
6x = 2y + 10
3x = y + 5 divide both sides by 2
y = 3x + 5/3
Sam slopes, different intercepts.
what is 10(n−2p+2) because i dont know the answer
10n - 20p + 20
could i get a heart and branliest
Answer:
10n-20p+20
Step-by-step explanation:
10(n-2p+2)
n(10)-2p(10)+2(10)
10n-20p+20
What is the domain and range???
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Triangle ABC has coordinates A(1, 1); B(2, 5); C(5, 1). What would be the coordinates of A'B'C' if you translated ABC left 2 and up 5 units? (Hint: x-values go left and right; y-values go up and down) *
A'(-1, 6) B'(0, 10) C'(3, 6)
A'(3, -4) B'(4, 0) C'(7, -4)
Answer:
A'(-1, 6) B'(0, 10) C'(3, 6)
Answer:
I would say it's the first one
What is a fraction form of $1.80?
Answer:Okay, so the first thing to do here is show you that any number can be a fraction if you use a 1 as the denominator. Take a look:
1.80
1
What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 80.
To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea!
In our case 80 is 2 digits long so we need to multiply the numerator and denominator by 100.
Now we just need to do that multiplication to get our whole fraction:
1.80 x 100
1 x 100
=
180
100
The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:
Greatest Common Divisor (GCD)
Highest Common Factor (HCF)
Greatest Common Denominator (GCD)
The GCF can be a bit complicated to work out by hand but you can use our handy GCF calculator to figure it out.
In the case of 180 and 100, the greatest common divisor is 20. This means that to simplify the fraction we can divide by the numerator and the denominator by 20 and we get:
180/20
100/20
=
9
5
And there you have it! In just a few short steps we have figured out what 1.80 is as a fraction. The complete answer for your enjoyment is below:
1 4/5
Note: because 180 is greater than 100 we have simplified this fraction even further to a mixed fraction.
Step-by-step explanation:
PLEASE HELP !!! I would appreciate it
Answer:
64, 32, 16
Step-by-step explanation:
What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)
Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
A(-1, 4) is the original pointA'(3, 3) is the image of AWe need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
I want the answer the the problem
Answer:
The length of the segment GI is 30.5 units
Step-by-step explanation:
In any triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In ΔFHJ
∵ G is the mid-point of the side FH
∵ I is the mid-point of the side JH
∵ FJ is the 3rd side of the triangle
→ From the rule above
∴ GI // FJ
∴ GI = [tex]\frac{1}{2}[/tex] FJ
∵ FJ = 61 units
∴ GI = [tex]\frac{1}{2}[/tex] (61)
∴ GI = 30.5
∴ The length of the segment GI is 30.5 units
You are going to the gas station with your mom. The cost of a car wash is $5.00. The cost per gallon of gas $3.10 per gallon. Write a linear equation to represent the total cost of a trip to the gas station.
9514 1404 393
Answer:
c = 5.00w +3.10g
Step-by-step explanation:
Let w represent the number of car washes purchased, g represent the number of gallons of gas purchased, and c represent the total cost of the trip.
cost = (cost of car washes) + (cost of gas)
c = 5.00w + 3.10g
Which equation represents the function graphed on the coordinate plane?
g(x)=|x+4|-2
g(x)=|x-4|-2
g(x)=|x-2|-4
g(x)=|x-2|+4
please help me this is due in a couple of minutes!!!!!! please help me.
Answer: A g (x)= [x+4]-2
Step-by-step explanation:
In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC. If the measure of segment AB is 8 units, what is the measure of segment segment ED?
triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED
3 units
4 units
5 units
6 units
Answer:
4 units
Step-by-step explanation:
The measure of segment ED is 4 units.
Given In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC.
And AB is 8 units.
We have to calculate the length of segment ED.
We know that, The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. This theorem is known as the mid point theorem.
So in ΔCAB, E and D are the midpoint of AC and BC respectively then the length of DE is half of AB which is [tex]\frac{8}{2}[/tex] [tex]=4[/tex] units.
Hence the measure of segment ED is 4 units.
For more details on midpoint theorem follow the link:
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ngle
B
A
X + 68
x + 50
W
76°
ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.
A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons
Answer:
cc
Step-by-step explanation:
I NEED HELP PLS!! i am so confused on what to do if you can explain that would be awesome!
Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83
Step-by-step explanation: I hope this helped
which equation represents the line that passes through points (5, 4) and (-5, 0)
The equation should be [tex]y = 2\div 5x + 2[/tex]
Given that,
The points are (5, 4) and (-5, 0)Based on the above information, the calculation is as follows:
here we need to find the slope.
[tex]= (y_2-y_1)\div (x_2-x_1)\\\\= (0-4)\div (-5-5) \\\\= -4\div -10 \\\\= 2\div 5\\\\Y = 2\div 5x + b[/tex]
Now
Put in one point
[tex]4 = 2\div 5(5) + b, b = 2[/tex]
So,
[tex]y = 2\div 5x + 2[/tex]
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