Find the area of the shape below.
Give your answer in terms of pi
6cm
8cm
32cm
The diagram is not drawn to scale.
9514 1404 393
Answer:
164π cm²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...
1/2A = (1/2)(π)(d/2)² = (π/8)d²
The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.
The total area will be ...
area of largest + area of middle-size - area of smallest
= (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²
The area of the shape is 164π cm².
find the time required for an investment of $3000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly ( round the answer to two decimal places)
Answer:
13.20 yearsStep-by-step explanation:
Investment P = $3000Final amount F = $8000Interest rate r = 7.5% = 0.075Compound number n = 4Time t = ?Formula:
F = P(1 + r/4)^(4t)Solve for t:
8000 = 3000(1 + 0.075/4)^(4t)8/3 = 1.01875^(4t)4t log 1.01875 = log (8/3)4t = 0.42596 / 0.008067t = 1/4(52.80)t = 13.20which table represents a function
Answer:
The last one
Step-by-step explanation:
A function is where every x has only one y value.
Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yielded 1/4 gallon each.
How many GALLONS of honey did Lila collect in all?
Answer: 1 1/6
Step-by-step explanation: i dont know if this is right, but hope it helps
Answer:
1 1/6
Step-by-step explanation:
Given function:
find the three beehives honey Lila total collected2/3,1/4,1/4Combine the terms:
[tex]\frac{2}{3}+\frac{1}{4}+\frac{1}{4}=\frac{2}{3}+\frac{2}{4}[/tex]Simplfly the fraction terms:
[tex]\frac{2}{3}[/tex]·[tex]4=\frac{8}{12}[/tex] [tex]\frac{2}{4}[/tex]·[tex]3=\frac{6}{12}[/tex]Combine the terms:
[tex]\frac{8}{12}+\frac{6}{12}=\frac{14}{12}[/tex]Simplifly the final value:
[tex]\frac{14}{12}=1\frac{2}{12}[/tex] [tex]1\frac{2}{12}=1\frac{1}{6}[/tex]Therefore, the three beehives gives a total of 1 1/6 honey..
A marketing manager wishes to determine whether a relationship exists between the number of cereal boxes (Y) sold at the company's retail store and the number of clerks on duty (X) per day. The sample data below will be used to examine this empirical problem. Calculate the slope of the regression line.
X Y
3 4
2 4
2 2
1 2
a. 0
b. 1
c. 2
d. None of the above
Answer:
I’m very unsure but I think it is b
Step-by-step explanation:
In the cafeteria, there are 50 seats, of which, 22 seats are empty and 28 seats are occupied.
What is the ratio of occupied seats to empty seats?
14:25
a
11:25
11:14
14:11
Answer
2
Step-by-step explanation:
Adam measured a line to be 6.4 inches long. If the actual length of the line is 6.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The sum of two numbers is -17. Their difference is 41. Find the numbers
Answer:
Step-by-step explanation:
x+y = -17
x-y = 41
------------
2x = 24
x = 12
y = -x-17 = -29
a submarine dives as shown in the diagram. to the nearest degree, determine the dive angle whose measure is X.
Answer:
75.96
Step-by-step explanation:
[tex]Tan= \frac{opposite}{adjacent}[/tex]
[tex]Tan X= \frac{500}{125}[/tex]
[tex]Tan X ^{-1} (Tan X)= Tan X ^{-1}(\frac{500}{125} )[/tex]
Answer 75.96
Can someone please help me
A number cube is rollled 144 times. How many times would you expect it to land on 5?
Answer:
28.8 times if you divide 144 by 5
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
I think it is 24 because if you divide 144 by the number of sides the dice has (6) it would be 24
Can someone help me with this?
Find x. Round to the nearest tenth.
xº
13
15
Answer:
x= 49.1
Step-by-step explanation:
Please see the attached picture for the full solution.
Which equation represents the line shown in the graph?
O A. y = - 2x
B. y = -x
C.y = -1/2x
D.y=1/2x
E.y=2x
Find the value of x and y. This has to do with geometry
Answer:
x = 30°
y = 30°
Step-by-step explanation:
By inscribed angle theorem:
[tex]x = y = \frac{1}{2} \times 60 \degree \\ \\ x = y = 30 \degree[/tex]
In ΔPQR, p = 75 inches, q = 73 inches and r=35 inches. Find the measure of ∠P to the nearest 10th of a degree.
Answer:
79.5
Step-by-step explanation:
a^2 =b^2+ c^2-2bc cos A
cos p = 73^2+35^2-75^2/2(73)(35)
cos p= 9229/5110
cosp=79.5
The measure of ∠P to the nearest 10th of a degree is 79.5
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
We are given that In ΔPQR, p = 75 inches, q = 73 inches and r=35 inches.
u² = s² + t² - 2(s)(t)·cos U
Now substituting;;
cos p = 73²+35²-75² /2(73)(35)
cos p= 9229/5110
cosp=79.5
The measure of ∠P is 79.5
Learn more about cosine rule;
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f(x) = -4x +1 and g(x) =13, for what value of x does f(x) equal g(x)?
The perimeter of a triangle is34 ft. One side of the triangle is 2 times the second side. The third side is 6 ft longer than the second side. Find the length of each side
Let the second side = x
The first side is 2x ( 2 times the second side)
The third side is x + 6 ( 6 feet longer than the second side)
Now you have: x + 2x + x + 6 = 34
Simplify to get:
4x + 6 = 34
Subtract 6 from both sides
4x = 28
Divide both sides by 4:
X = 7
1st side = 2x = 2*7 = 14 feet
2nd side = x = 7 feet
3rd side = x + 6 = 7 + 6 = 13 feet
Please help me ! Will mark Brainly
Answer:
1512cm is the answer.
Step-by-step explanation:
Select the three statements that give benefits of having a savings account.
if there were an emergency, I would have the money to cover expenses
Evaluate 3(c+d) if c=8 and d=-5
A. 6
B. 9
C. 39
D. -9
Answer:
C
Step-by-step explanation:
3(8+5)=39
3(13)=39
or
3(8)+3(5)=39
Answer:
b. 9
Step-by-step explanation:
if c = 8 and d = - 5
3( c + d)
= 3( 8 + (-5))
= 3 * 3
= 9
PLEASE HELP D:
Which of the following possibilities will form a triangle?
A - Side = 16 cm, side = 8 cm, side = 7 cm
B - Side = 16 cm, side = 9 cm, side = 7 cm
C - Side = 17 cm, side = 12 cm, side = 7 cm
D - Side = 17 cm, side = 11 cm, side = 5 cm
Answer:
Step-by-step explanation: Three line segments can form a triangle, if the sum of any two lengths is greater than the third length. In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.
Step-by-step explanation:
you have to study
Answer:
A,B and D form a triangle
Step-by-step explanation:
A - Side = 16 cm, side = 8 cm, side = 7 cm
16>8+7=15 form a triangle
B.- Side = 16 cm, side = 9 cm, side = 7 cm
16>9+7=16 form a triangle
C - Side = 17 cm, side = 12 cm, side = 7 cm
18>12+7=19 not form a triangle
D - Side = 17 cm, side = 11 cm, side = 5 cm
17>11+5=16 form traingle
At a school district there are 55 employees. If next year the number of employees increases by
20%, what will be the new amount of employees?
Answer:
66
Step-by-step explanation:
Melinda baked 40 muffins for her school bake sale. At the bake sale, each muffin cost $1.50. How many money would the bake sale make if they sold all of Melinda's muffins?
Answer:
60$
Step-by-step explanation:
:)
Answer: $60
Step-by-step explanation: If each muffin cost 1.50 that means that all 40 muffuins = 1.50 each so all you have to do is 1.50 times 40 cus there is 40 muffins and your trynna figure out the price altogether or you can add 1.50+1.50 40 times
Identify the slope (CA) of triangle ABC.
it is 1/3 because its the opposite of counting
Soes a square have any parallel lines? If yes how many
Answer:
2 sets of parallel lines
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2
if im correct can i get crown
3. $595 refrigerator; 22% discount.
Show the work
Answer:
Discount: $130.90
Total cost after discount: $464.10
Step-by-step explanation:
Since I don't know what the actual question is, I will solve for the discount:
595 × 22%
Convert percentage into decimal
595 × 0.22
130.9
Discount is 130.9
Now I'll solve for how much that will take off from the original price:
595 - 130.9
464.1
I need a real answer not a scam.
Help plz I’ll mark brainliest
Answer:
A.
Step-by-step explanation:
PLZ mark brainliest!
The ratio of the number of boys to the number of girls in orchestra is 3 to 2. There are 40 girls in the orchestra, how many boys are in the orchestra? (GIVING BRAINLIEST!!)
Answer:
there are 30 boys in the orchestra
The time spent watching a movie. Discrete or Continuous?
Answer:
The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.
The time spent watching a movie is an example of Continuous function.
What is the difference between Discrete and Continuous?We gather information to look for connections, patterns, and other ideas. For instance, if you keep track of how many push-ups you perform every day for a month, your overarching objective is to assess your development and rate of advancement. For example heart beat rate, signal, etc.
Numerical information that is continuously referred to the undefined variety of measurements that might be taken across two realistic sites. For example - time, wind, temperature, pressure, etc.
Despite the fact that these numbers are often gathered via accurate measurements, they are also not necessarily neat and orderly as those in categorical data.
The time spent watching a movie is an example of Continuous function.
More about the Discrete and Continuous link is given below.
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