Find the area of the semicircle. Round your answer to the nearest whole number, if necessary.
40 cm
Answer:
To the nearest hundredth : 628.32 [tex]cm^2[/tex]
To the nearest whole number : 628 [tex]cm^2[/tex]
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi*radius^2[/tex]
To work out the area you would first need to work out the radius. You can do this by dividing the diameter of 40 cm by 2, this gives you 20 cm. This is because the radius is half of the diameter.
Now that we have worked out the radius, the next step would be to work out the area. You can do this by multiplying pi by the radius of 20 squared, this gives you 1256.64.
The final step is to work out the area of this semi-circle. You can do this by dividing the area of 1256.64 by 2, this gives you 628.32 [tex]cm^2[/tex]. This is because a semi-circle is half of a circle.
1) Divide 40 by 2.
[tex]40/2=20 cm[/tex]
2) Multiply pi by 20 squared.
[tex]\pi*20^2=1256.64 cm^2[/tex]
3) Divide 1256.64 by 2.
[tex]1256.64/2=628.32 cm^2[/tex]
The area of the semicircle is approximately 628 square centimeters.
To find the area of a semicircle with a given diameter, we need to use the formula for the area of a circle and then divide it by 2, since a semicircle is half of a circle.
The formula for the area of a circle is:
[tex]\[ A = \pi r^2 \][/tex]
where [tex]\( r \)[/tex] is the radius of the circle. Given the diameter is 40 cm, we can find the radius by dividing the diameter by 2:
[tex]\[ r = \frac{40 \, \text{cm}}{2} = 20 \, \text{cm} \][/tex]
Now, we can calculate the area of the full circle:
[tex]\[ A_{\text{circle}} = \pi (20 \, \text{cm})^2 = 400\pi \, \text{cm}^2 \][/tex]
Since the semicircle is half of the full circle, the area of the semicircle is:
[tex]\[ A_{\text{semicircle}} = \frac{1}{2} A_{\text{circle}} = \frac{1}{2} \times 400\pi \, \text{cm}^2 = 200\pi \, \text{cm}^2 \][/tex]
Using [tex]\(\pi \approx 3.14159\)[/tex]
[tex]\[ A_{\text{semicircle}} \approx 200 \times 3.14159 \, \text{cm}^2 \approx 628.32 \, \text{cm}^2 \][/tex]
Rounding to the nearest whole number:
[tex]\[ A_{\text{semicircle}} \approx 628 \, \text{cm}^2 \][/tex]
Question 4 (1 point)
What is the solution to the equation 3(2x + 5) = 3x + 4x?
a
x = 0
b
x = 4
с
x = 15
d
x= 5
Answer:
x=15
Step-by-step explanation:
3(2x+5)=3x+4x
6x+15=3x+4x. *multiplied parentheses by 3*
15=3x+4x+-6. *moves all x to one side*
15=× * added
x=15
Tell wether the slope of the line is positive,negative,zero or undefined
A. Positive
B. Negative
C. Zero
D. Undefined
Answer:
D. Undefined
Step-by-step explanation:
The line is a vertical line.
Vertical lines have undefined slopes
Answer:
Undefined
Step-by-step explanation:
Vertical lines will always have undefined slopes. This is a vertical line because it is straight up and down.
To make sure, we can test 2 points: (2,1) and (2,2) in the slope formula
y2-y1/x2-x1
2-1/2-2
1/0
It is impossible to divide by 0, so the slope is undefined.
Mandy built a pyramid for her project on Egypt with a volume of 483
4
in.3 Find the area of the base of the pyramid.
Answer
We have,
Volume of pyramid = 4834 in³
Base area of the pyramid = ?
Assuming height of the pyramid = 20 in
We know that
Volume of pyramid =[tex]\dfrac{hlw}{3}[/tex]
[tex] 4834=\dfrac{20\time lw}{3}[/tex]
l w = 725.1 in²
Hence, area of the base of the pyramid is equal to 725.1 in².
Recall the formula S A = 2 pi r squared + 2 pi r h.
216 pi inches squared
252 pi inches squared
630 pi inches squared
648 pi inches squared
Answer: The surface area for this cylinder is 252*pi square inches.
Step-by-step explanation:
The surface area of a cylinder can be calculated by using the following formula:
surface area = 2*pi*r² + 2*pi*r*h
Applying the data from the problem, we have:
surface area = 2*pi*(6)² + 2*pi*(6)*15
surface area = 2*pi*36 + 180*pi
surface area = 72*pi + 180*pi
surface area = 252*pi
The surface area for this cylinder is 252*pi square inches.
Step-by-step explanation: edge 2021
The surface area of the cylinder, given h = 15 inches and r = 6 inches, is 252π square inches.
To find the surface area (SA) of a cylinder, we use the formula [tex]\(SA = 2\pi r^2 + 2\pi rh\)[/tex], where r is the radius and h is the height. Given h = 15 inches and r = 6 inches, we substitute these values into the formula:
[tex]\[SA = 2\pi(6)^2 + 2\pi(6)(15)\][/tex]
[tex]\[SA = 2\pi(36) + 2\pi(90)\][/tex]
[tex]\[SA = 72\pi + 180\pi\][/tex]
[tex]\[SA = 252\pi\][/tex]
Thus, the surface area of the cylinder is 252π square inches. This includes the areas of the two circular bases and the lateral surface area formed by the curved surface.
Does anyone know what
-3*14^(7x-2)+8=-53 is?
Answer:
Step-by-step explanation: i know i take this
-5+ 3= 2) -7 -4 3) 122 × (-9) 4) -6 divided by 3/4
Answer:
Step-by-step explanation:
1) -5 +3 = -2
When two numbers are in different sign, subtract and the result will have the bigger numbers sign. The bigger number is 5. so the result is (-2)
2) -7 - 2 = -9
When two numbers have same sign, add and the result will have the common sign
3) 122 * (-9) = - 1098
4) -6 ÷ (3/4)
[tex]=(-6)*\frac{4}{3}\\\\=-2*4[/tex]
= -8
Solve x squared-2x-24=0
Answer:
x=-12
Step-by-step explanation:
−2x−24+24=0+24
−2x=24
Step 2: Divide both sides by -2.
−2x /−2 = 24 /−2
x=-12
If AC=16 and BC=13 what is the radius
Answer:
Radius AB = 9.3 units
Step-by-step explanation:
Given:
BC (tangent) make right angle with radius AB.
AC = 16 units
BC = 13 units
Find:
Radius AB = ?
Computation:
Using Pythagoras theorem:
[tex]Hypotenuse^2 = Perpendicular^2 +Base^2\\\\AB =\sqrt{AC^2 -BC^2}\\\\ AB =\sqrt{16^2 -13^2}\\\\AB =\sqrt{256 -169}\\\\AB =\sqrt{87}\\\\AB =9.327[/tex]
Radius AB = 9.3 units
The question lacks clear context for the radius calculation, but assuming AC and BC are sides of a right triangle with the hypotenuse as the diameter of a circle, the radius can be found using the Pythagorean theorem. The calculated radius would be approximately 10.307764.
Explanation:The question seems to be asking for the radius of a circle given certain measurements from a triangle. However, the information provided is ambiguous as it lacks context and specifics such as which geometric scenario we are dealing with. Nonetheless, assuming that AC and BC are legs of a right triangle, and if the hypotenuse is the diameter of a circle, we can calculate the radius using the Pythagorean theorem.
To find the radius (R), we would expect to have a right triangle with sides AC and BC, and a hypotenuse that is twice the radius. However, the lengths given in the question (AC=16 and BC=13) do not correspond to one of the formulae provided which suggests using the lengths in a Pythagorean relationship. Instead, if these lengths are for a right-angled triangle, we would calculate the hypotenuse as follows:
√(AC² + BC²) = √(16² + 13²) = √(256 + 169) = √425 ≈ 20.615528
Therefore, if the hypotenuse is the diameter of the circle, the radius R would be approximately half of this value, or 10.307764.
A town has 10,000 two-child families. Design a simulation to estimate the percentage of two-child families with two girl. Choose the right simulation tool.
Answer:
The simulation tool could be a coin flip, with heads up representing a girl and tails up representing a boy. One trial would require flipping the coin twice. One table would show the outcome of two coin tosses as tally marks, and indicate whether the results were boy-boy, boy-girl, or girl-girl.
Final answer:
A simulation to estimate the percentage of two-child families with two girls involves using a random number generator, assigning numbers to represent gender, and conducting repeated trials. By calculating the proportion of simulations resulting in two girls, we can estimate the percentage of such families in the town.
Explanation:
To estimate the percentage of two-child families with two girls in a town of 10,000 such families, a simple simulation could employ a random number generator as the simulation tool. We can model each child as a separate random event with an equal probability of being a girl or a boy, ignoring other complexities such as multiple births or gender selection.
Here is a step-by-step explanation of how the simulation could be designed and conducted:
Assign numbers to represent the outcomes: 1 for a girl and 0 for a boy.
For each simulation, use a random number generator to produce two numbers (each being 0 or 1) to represent the two children in a family.
If both numbers generated are 1, then that simulation represents a family with two girls.
Repeat the simulation 10,000 times, once for each family.
Count the number of simulations that resulted in two girls.
Divide the count of two-girl families by the total number of families (10,000) to get the percentage of families with two girls.
This process would simulate the random assignment of genders in two-child families and allow the estimation of the percentage of families with two girls.
The hu family goes out for lunch and the price of the meal is $43 the sales tax on the meals is 7% and the family also leaves a 20% tip on the pretax amount what is the total cost of the meal
Answer:
$54.61
Step-by-step explanation:
For this question, you would need to figure out how much the total is without the tax.
.2 x 43 = 8.6
After you do that, you would need to find the total with tax.
.07 x 43 = 3.01
Add all of those up.
43 + 8.6 + 3.01 = $54.61
Feel free to let me know if you need more help. :)
Which of the following fractions has the same value as the decimal number 0.65?
20/13
13/20
5/13
13/5
Answer:
13/20
Step-by-step explanation:
To find this, divide 13 by 20 to get .65
Hope this helped!
Answer:
13/20
Step-by-step explanation:
You invest 7500 into a mutual fund that is expected to earn 7% per year, how long will it take the fun to be worth 15000?
Roger bought 800 shares of a company stock for 15.34/share. He pays the broker commission of 20 dollars to buy or sell stock after one year Roger sold all his shares when they were worth 18.77/share.
A.) how much it cost to buy the stock?
B.) what is the net gain or loss?
C.) what was the rate of return?
Answer:
10.2 years
gain is $2,704.00
rate of return is 22%
Step-by-step explanation:
The it would take for mutual to double can be determined the future value formula as shown below:
=nper(rate,pmt,-pv,fv)
rate is the rate of return of 7% per year
pmt is the periodic amount placed in the mutual fund and it not applicable here
pv is the original amount invested which is $7,500
fv is the future worth of $15,000
=nper(7%,0,-7500,15000)=10.2 years
cost of shares=actual cost of purchase+broker's commission
=(800*$15.34)+$20=$12,292.00
gain on shares=sales proceeds-cost=(800*$18.77)-$20-$12,292.00=$2,704.00
rate of return=gain/original cost=$2,704.00/$12,292.00 =22%
A circular swimming pool has a radius of 28 feet there’s a path all the way around the pool dad 4 feet wide inference is going to be built around outside edge of the pool by about how many feet of fencing are needed to go around the pool path
Answer:
201.06 (2 decimal places)
Step-by-step explanation:
new radius 28 + 4 = 32
diameter = 64
circumference of the fence
= pi x d
= pi x 64
= 201.0619
If the length of FG is 6 units, what is the length of EH?
FG goes through the center of the circle, so FG is diameter.
[tex]d = 2r \\ r = \dfrac{d}{2} \\ \\ r = \dfrac{6}{2} = 3[/tex]
EH=r=3
Answer: EH=3
PLEASE HELP ME
Mean: $620 Median: $610 Mode: $600
The following statistics represent weekly salaries at the Midtown Construction Company: First quartile: $580
Third quartile: $645 85th percentile $685
c. About what percent of employees’ salaries surpassed $645?
d. About what percent of employees’ salaries surpassed $685?
e. If the company has 100 employees, what is the total weekly salary of all employees?
The mean, median, and mode of the weekly salaries at the Midtown Construction Company are provided. We can use this information to answer questions about the percentage of salaries surpassing certain values and the total salary of all employees.
Explanation:To answer the question, we need to understand what each statistical term means.
The mean is the average of a set of numbers. In this case, the mean salary is $620.
The median is the middle value of a set of numbers when they are arranged in ascending order. In this case, the median salary is $610.
The mode is the value that appears most frequently in a set of numbers. In this case, the mode salary is $600.
Now, let's answer the questions:
c. To find the percentage of employees' salaries that surpassed $645, we need to calculate the percentage of values that are greater than $645 in the data set. Since the third quartile is $645, we know that 75% of the salaries are less than or equal to $645. Therefore, about 25% of the salaries surpassed $645.
d. To find the percentage of employees' salaries that surpassed $685, we need to calculate the percentage of values that are greater than $685 in the data set. Since the 85th percentile is $685, we know that 85% of the salaries are less than or equal to $685. Therefore, about 15% of the salaries surpassed $685.
e. To find the total weekly salary of all employees, we need to multiply the mean salary ($620) by the number of employees (100). Therefore, the total weekly salary of all employees is $62,000.
-8 - 3a+ 46 Please help! i have a bunch more questions like this so stay tuned to help me please!
Answer:
−3a+38
Step-by-step explanation:
i simplified the expression
A bag contains 2 blue marbles and 5 red marbles. You choose one marble and
without replacing it, youchoose a second marble. What is the probability of
choosing: A). A red marble first, then a blue marble second? B). A blue marble
GIVEN that a red marble was chosen first?
Answer:
A) 5/7 and 2/6 B) 4/7
Step-by-step explanation:
First find the total and then establish probability for each color: 2+5 = 7 total marbles. [tex]\frac{2}{7}[/tex] for blue and [tex]\frac{5}{7}[/tex] for red. Because you don't replace the marble you took out the total will do down one but the number of blue will not be affected to it just changed from [tex]\frac{2}{7} to \frac{2}{6}[/tex]
On part b I'm a little confused, are you putting a blue marble in the bag and then finding red's probability? If so, you are in theory replacing the first red marble so the total will be 7 again but since it's a blue marble your probabilities change to [tex]\frac{3}{7}[/tex] for blue and [tex]\frac{4}{7}[/tex] for red.
Find the radius of the circle given the circumference. Use 3.14 for pi. Round to the nearest hundredth.
C = 28 ft.
Answer:
4.46
Step-by-step explanation:
As the circumference of a circle is pi multiplied by the diameter to work out the radius you would first divide the circumference of 28 by pi, which gives you 8.92. This is the diameter, however the question is asking for the radius. To work out the radius you would divide the diameter by 2, which gives you 4.46. This is because the radius is half of the diameter.
1) Divide 28 by pi.
[tex]28/\pi =8.92[/tex]
2) Divide 8.92 by 2.
[tex]8.92/2=4.46[/tex]
Six times a number plus another number tripled
Answer:
(6x2)+(3x3)=
Step-by-step explanation:
Step-by-step explanation:
Hello there!
This question is ambiguous.
I'm assuming you want to write an equation for the given expression.
These are just a few of the ways that we can write it:
3(6n+x)
6n+3x
:)
Write a formula for r in terms of θ based on the image below.
The angle in the figure is a central angle in radians.
Answer:
R=7[tex]\pi[/tex]/Ф
7Pi/Theta
Rewrite the expression 2-bx2<56 to get the variable b alone on one side of the equation.
Answer:
b >-54/x^2
Step-by-step explanation:
2-bx^2<56
Subtract 2 from each side
2-2-bx^2<56-2
-bx^2 <54
Divide by -1, remembering to flip the inequality
bx^2 > -54
Divide each side by x^2
bx^2/x^2 > -54/x^2
b >-54/x^2
Answer:
b > -54/x²
Step-by-step explanation:
2 - bx² < 56
2 - 56 < bx²
-54 < bx²
-54/x² < b
b > -54/x²
2x + y = 4
y = 3x - 1
Is (1, 2) a solution to both equations?
yes or no?
Answer: yes
Step-by-step explanation:
2x+y=4 x=1 and y=2 2(1)+2=4
y=3x-1 3(1)-1=2
The volume of a box 4 in. wide, 2 in. high, and 5 in. long is:
A. 22 in.
B. 40 cu. in.
C. 11 cu. in.
D. 40 sq. in.
E. 11 sq. in.
Answer:
d 40 for volume you multiply all the numbers by eachother
Step-by-step explanation:
4 ×2=8
8×5=40
Answer:
Volume of box = 40 cu. in.
Step-by-step explanation:
Width of box = 4 in.
Height of box = 2 in.
Length of box = 5 in.
Volume of box = Width × Height × Length
= 4 × 2 × 5
= 40 cu. in.
Determine the average/mean of the following set of integers: -7, 12, 3, -4, 8, -1, 3
Answer:
2
Step-by-step explanation:
If you add them all you get 14, divide it by the amount of terms, 7, and you get 2.
PLEASE HELP!!!Will mark BRAINLIEST for 5 and 6
Answer:
5. yes
6. no
Step-by-step explanation:
5. yes
You know this because you're familiar with the first few Pythagorean triples:
(3, 4, 5), (5, 12, 13), (7, 24, 25), ...
If you're not, you can use the Pythagorean theorem to check. The sides will form a right triangle if and only if they satisfy the Pythagorean theorem.
13^2 = 12^2 +5^2
169 = 144 + 25 . . . . . . true
__
6. no
Your knowledge of numbers tells you that these numbers cannot satisfy the Pythagorean theorem.* The sum of an even and and odd number cannot be even. (The square of a number has the same parity as the number itself.)
_____
* Thanks to Brainly, I recently figured out that you can apply a parity test to candidates for right triangle sides. The number of odd-length sides must be even. There cannot be a right triangle with integer side lengths, only one of which is odd.
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent. Photo attached.
answer quick for brainliest.
Answer:
the slope is 5 the y intercept is 5
Step-by-step explanation:
slope intercept form makes this true
please mark brainliest :)
Answer:
The slope is 10 and the eqation is y+5x Please pray that it is right
Step-by-step explanation:
At the start of the week, you could complete 12 push-ups. By the end of the week, you could complete 17 push-ups. Which proportion could you use to find the percent increase in the number of push-ups you can complete? ( please pick one of these answers) A) 5/17=n100 B) 12/5=n100 C) 12/17=n100 D) 5/12=n100
A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, putting the marble back, and then pulling a blue marble?
13.82%
10%
14%
8%
Answer: 8%
Step-by-step explanation: