A. Angle A
B. Angle B
C. Angle C
D. Angle D
Answer: A, B, and C
Name an angles figure 1
Based on the picture above which of the below angles are acute select all that apply
37 answers
3. What degree is angle CFE (Figure 2)?
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*
As there is no Figure 2 provided, we cannot answer this question. Please provide the necessary information.
c 60 degrees f 120 degrees e 60 degrees
Angle CFE measures 120 degrees.
what is the measure of angle of dfe d 60 f 120 e 60
The sum of the angles in triangle DFE is 180 degrees. We know that angles D and E are each 60 degrees, so:
D + E + F = 180
60 + 60 + F = 180
120 + F = 180
F = 60
Therefore, angle DFE measures 60 degrees.
D + E + F = 180
60 + 60 + F = 180
120 + F = 180
F = 60
Therefore, angle DFE measures 60 degrees.
a 120 c 60 e 120
As there is no figure or context provided, I am unable to determine what is being asked. Please provide more information or context to your question.
a 120 c 60 e 120 and x is in the middle what is the measurment of x
If x is the angle in the middle, it must be adjacent to angles a, c, and e.
The sum of the angles in a straight line is 180 degrees, so:
a + x + e = 180
Substituting the values we have been given for angles a and e:
120 + x + 120 = 180
240 + x = 180
x = -60
This solution doesn't make sense, since the measure of an angle cannot be negative. Therefore, it is not possible for x to be in the middle of angles with measures 120, 60, and 120 degrees. Please check the given values again and provide the correct information.
The sum of the angles in a straight line is 180 degrees, so:
a + x + e = 180
Substituting the values we have been given for angles a and e:
120 + x + 120 = 180
240 + x = 180
x = -60
This solution doesn't make sense, since the measure of an angle cannot be negative. Therefore, it is not possible for x to be in the middle of angles with measures 120, 60, and 120 degrees. Please check the given values again and provide the correct information.
1a. Find the volume of the cylinder. Use 3.14 for π
4 yd π horizontal 6 yd vertical
4 yd π horizontal 6 yd vertical
The formula for the volume of a cylinder is:
V = πr^2h
where r is the radius and h is the height.
Given that the cylinder has a horizontal radius of 4 yards and a vertical height of 6 yards, we have:
r = 4 yards
h = 6 yards
Substituting these values in the formula:
V = π(4 yards)^2(6 yards)
V = 3.14(16 yards^2)(6 yards)
V = 3.14(96 yards^3)
V = 301.44 cubic yards
Therefore, the volume of the cylinder is 301.44 cubic yards.
V = πr^2h
where r is the radius and h is the height.
Given that the cylinder has a horizontal radius of 4 yards and a vertical height of 6 yards, we have:
r = 4 yards
h = 6 yards
Substituting these values in the formula:
V = π(4 yards)^2(6 yards)
V = 3.14(16 yards^2)(6 yards)
V = 3.14(96 yards^3)
V = 301.44 cubic yards
Therefore, the volume of the cylinder is 301.44 cubic yards.
what is the surface area
The formula for the total surface area (TSA) of a cylinder is:
TSA = 2πr(h + r)
where r is the radius and h is the height.
Given that the cylinder has a horizontal radius of 4 yards and a vertical height of 6 yards, we have:
r = 4 yards
h = 6 yards
Substituting these values in the formula:
TSA = 2π(4 yards)(6 yards + 4 yards)
TSA = 2π(4 yards)(10 yards)
TSA = 2π(40 yards^2)
TSA = 251.2 square yards
Therefore, the total surface area of the cylinder is 251.2 square yards.
TSA = 2πr(h + r)
where r is the radius and h is the height.
Given that the cylinder has a horizontal radius of 4 yards and a vertical height of 6 yards, we have:
r = 4 yards
h = 6 yards
Substituting these values in the formula:
TSA = 2π(4 yards)(6 yards + 4 yards)
TSA = 2π(4 yards)(10 yards)
TSA = 2π(40 yards^2)
TSA = 251.2 square yards
Therefore, the total surface area of the cylinder is 251.2 square yards.
2a. Find the volume of the rectangular prism. 8 ft left vertical, 14 feet horizontal, 4ft right vertical
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height.
Given that the rectangular prism has a length of 14 feet, a width of 8 feet, and a height of 4 feet, we have:
l = 14 feet
w = 8 feet
h = 4 feet
Substituting these values in the formula:
V = (14 feet)(8 feet)(4 feet)
V = 448 cubic feet
Therefore, the volume of the rectangular prism is 448 cubic feet.
V = lwh
where l is the length, w is the width, and h is the height.
Given that the rectangular prism has a length of 14 feet, a width of 8 feet, and a height of 4 feet, we have:
l = 14 feet
w = 8 feet
h = 4 feet
Substituting these values in the formula:
V = (14 feet)(8 feet)(4 feet)
V = 448 cubic feet
Therefore, the volume of the rectangular prism is 448 cubic feet.
what is the surface area
The formula for the total surface area (TSA) of a rectangular prism is:
TSA = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height.
Given that the rectangular prism has a length of 14 feet, a width of 8 feet, and a height of 4 feet, we have:
l = 14 feet
w = 8 feet
h = 4 feet
Substituting these values in the formula:
TSA = 2(14 feet)(8 feet) + 2(14 feet)(4 feet) + 2(8 feet)(4 feet)
TSA = 224 + 112 + 64
TSA = 400 square feet
Therefore, the total surface area of the rectangular prism is 400 square feet.
TSA = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height.
Given that the rectangular prism has a length of 14 feet, a width of 8 feet, and a height of 4 feet, we have:
l = 14 feet
w = 8 feet
h = 4 feet
Substituting these values in the formula:
TSA = 2(14 feet)(8 feet) + 2(14 feet)(4 feet) + 2(8 feet)(4 feet)
TSA = 224 + 112 + 64
TSA = 400 square feet
Therefore, the total surface area of the rectangular prism is 400 square feet.
3. Find the area of the rectangle.
* w=5.1 yds, l=7.4
* w=5.1 yds, l=7.4
The formula for the area of a rectangle is:
A = lw
where l is the length and w is the width.
Given that the width is 5.1 yards and the length is 7.4 yards, we have:
w = 5.1 yards
l = 7.4 yards
Substituting these values in the formula:
A = (7.4 yards)(5.1 yards)
A = 37.74 square yards
Therefore, the area of the rectangle is 37.74 square yards.
A = lw
where l is the length and w is the width.
Given that the width is 5.1 yards and the length is 7.4 yards, we have:
w = 5.1 yards
l = 7.4 yards
Substituting these values in the formula:
A = (7.4 yards)(5.1 yards)
A = 37.74 square yards
Therefore, the area of the rectangle is 37.74 square yards.
. When baking a cake, you have a choice of the following pans: a round (cylindrical) cake pan that is 3 inches deep and has an 8 inch diameter or an 8 inch × 11 inch rectangular cake pan that is 3 inches deep. Which of these pans has the larger volume?
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2 points
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2 points
To compare the volumes of the two pans, we need to calculate each volume using the appropriate formula.
For the cylindrical pan, the formula for the volume of a cylinder is:
V = πr^2h
where r is the radius and h is the height. Given that the cylindrical pan has a depth of 3 inches and a diameter of 8 inches, the radius is 4 inches and the height is 3 inches. So, the volume of the cylindrical pan is:
V = π(4 inches)^2(3 inches)
V = 48π cubic inches
For the rectangular pan, the formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height. Given that the rectangular pan has a width of 8 inches, a length of 11 inches, and a depth of 3 inches, the volume of the rectangular pan is:
V = (11 inches)(8 inches)(3 inches)
V = 264 cubic inches
Comparing the volumes, we see that the cylindrical pan has a volume of 48π cubic inches, while the rectangular pan has a volume of 264 cubic inches.
So, the rectangular pan has a larger volume and can hold more cake batter than the cylindrical pan.
For the cylindrical pan, the formula for the volume of a cylinder is:
V = πr^2h
where r is the radius and h is the height. Given that the cylindrical pan has a depth of 3 inches and a diameter of 8 inches, the radius is 4 inches and the height is 3 inches. So, the volume of the cylindrical pan is:
V = π(4 inches)^2(3 inches)
V = 48π cubic inches
For the rectangular pan, the formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height. Given that the rectangular pan has a width of 8 inches, a length of 11 inches, and a depth of 3 inches, the volume of the rectangular pan is:
V = (11 inches)(8 inches)(3 inches)
V = 264 cubic inches
Comparing the volumes, we see that the cylindrical pan has a volume of 48π cubic inches, while the rectangular pan has a volume of 264 cubic inches.
So, the rectangular pan has a larger volume and can hold more cake batter than the cylindrical pan.
6. Find the circumference of a circle with a diameter of 12 in.
The formula for the circumference (C) of a circle is:
C = πd
where d is the diameter of the circle.
Given that the diameter of the circle is 12 inches, we have:
d = 12 inches
Substituting this value in the formula:
C = π(12 inches)
C = 37.7 inches (rounded to one decimal place)
Therefore, the circumference of the circle is approximately 37.7 inches.
C = πd
where d is the diameter of the circle.
Given that the diameter of the circle is 12 inches, we have:
d = 12 inches
Substituting this value in the formula:
C = π(12 inches)
C = 37.7 inches (rounded to one decimal place)
Therefore, the circumference of the circle is approximately 37.7 inches.
7. Find the square root of 144.
The square root of 144 is 12.
This is because 12 multiplied by itself (12 x 12) equals 144. The square root of a number is the value that, when multiplied by itself, gives the original number.
This is because 12 multiplied by itself (12 x 12) equals 144. The square root of a number is the value that, when multiplied by itself, gives the original number.
8. Which number is a perfect square?
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2 points
45
169
48
110
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2 points
45
169
48
110
The number that is a perfect square is 169.
This is because 169 is the result of 13 multiplied by itself (13 x 13 = 169). A perfect square is a number that is the product of an integer multiplied by itself, and in this case, 13 is an integer and its square is 169.
This is because 169 is the result of 13 multiplied by itself (13 x 13 = 169). A perfect square is a number that is the product of an integer multiplied by itself, and in this case, 13 is an integer and its square is 169.
1. Determine whether the sequence is arithmetic, geometric, or neither: 3, 6, 12, 24, ….
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1 point
arithmetic
geometric
neither
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1 point
arithmetic
geometric
neither
The sequence is geometric.
This is because each term can be obtained by multiplying the previous term by 2. Specifically:
6 is 3 times 2
12 is 6 times 2
24 is 12 times 2
This means that each term is double the value of the term before it, which is a characteristic of a geometric sequence.
This is because each term can be obtained by multiplying the previous term by 2. Specifically:
6 is 3 times 2
12 is 6 times 2
24 is 12 times 2
This means that each term is double the value of the term before it, which is a characteristic of a geometric sequence.
3. A zucchini plant in Maria's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.3 centimeters per day.a. Write a rule to describe the function.
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1 point
H(d) = 0.3d + 12
12d + 0.3
H(d) = 0.3d
H(d) = 0.3 + 12
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1 point
H(d) = 0.3d + 12
12d + 0.3
H(d) = 0.3d
H(d) = 0.3 + 12
The rule to describe the function is:
H(d) = 0.3d + 12
where H(d) represents the height (in centimeters) of the zucchini plant after d days since it was first planted.
This is because the plant grows at a rate of approximately 0.3 centimeters per day, which means that after d days, it will have grown 0.3d centimeters. Adding this growth to the initial height of 12 centimeters gives us the function above.
H(d) = 0.3d + 12
where H(d) represents the height (in centimeters) of the zucchini plant after d days since it was first planted.
This is because the plant grows at a rate of approximately 0.3 centimeters per day, which means that after d days, it will have grown 0.3d centimeters. Adding this growth to the initial height of 12 centimeters gives us the function above.
4. A sloth travels at a rate of 0.5 meters per minute. a. Write a rule to describe the function. b. How far will the sloth travel in 8 minutes?
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2 points
d(t) = 0.5t; b. 4 meters
d(t) = t + 0.5; b. 4.3 meters
d(t) = 0.5t + 1; b. 4.1 meters
d(t) = 0.5t; b. 4.2 meters
5. Which function is greatest at x = 2?
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1 point
Captionless Image
6. Your family borrows $6,000 to buy a car. The car loan has a 5% annual interest. The loan is for five years. What is the total amount your family owes for the car?
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1 point
$1500
$7500
$15000
$6150
7. A faucet is leaking at a rate of 0.8 gallon per hour. Write a rule to find the volume of water that will leak in 3 hours. Let w represent the volume of water and let t represent the number of hours.
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1 point
8. Which of the following sequences is an arithmetic sequence?
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1 point
–1, 2, 5, 8, . . .
6, 9, 5, 8, 4, 7, . .
5, 20, 80, 320, . .
100, 10, 0.1, 0.01, . .
9.
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1 point
Captionless Image
Option water being poured out of a pitcher at a steady rate
a ball being thrown into the air
a student running up a hill and then walking back down the hill1
none
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2 points
d(t) = 0.5t; b. 4 meters
d(t) = t + 0.5; b. 4.3 meters
d(t) = 0.5t + 1; b. 4.1 meters
d(t) = 0.5t; b. 4.2 meters
5. Which function is greatest at x = 2?
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1 point
Captionless Image
6. Your family borrows $6,000 to buy a car. The car loan has a 5% annual interest. The loan is for five years. What is the total amount your family owes for the car?
*
1 point
$1500
$7500
$15000
$6150
7. A faucet is leaking at a rate of 0.8 gallon per hour. Write a rule to find the volume of water that will leak in 3 hours. Let w represent the volume of water and let t represent the number of hours.
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1 point
8. Which of the following sequences is an arithmetic sequence?
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1 point
–1, 2, 5, 8, . . .
6, 9, 5, 8, 4, 7, . .
5, 20, 80, 320, . .
100, 10, 0.1, 0.01, . .
9.
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1 point
Captionless Image
Option water being poured out of a pitcher at a steady rate
a ball being thrown into the air
a student running up a hill and then walking back down the hill1
none
4. The rule to describe the function is:
d(t) = 0.5t
where d(t) represents the distance (in meters) the sloth travels after t minutes.
To find how far the sloth will travel in 8 minutes, substitute t = 8 into the function:
d(8) = 0.5(8)
d(8) = 4
Therefore, the sloth will travel 4 meters in 8 minutes.
7. The rule to find the volume of water that will leak in 3 hours is:
w(t) = 0.8t
where w represents the volume of water (in gallons) that will leak in t hours.
Substituting t = 3 into the function:
w(3) = 0.8(3)
w(3) = 2.4
Therefore, the volume of water that will leak in 3 hours is 2.4 gallons.
8. The following sequence is an arithmetic sequence:
–1, 2, 5, 8, . . .
This is because each term is obtained by adding 3 to the previous term. Specifically:
2 is –1 plus 3
5 is 2 plus 3
8 is 5 plus 3
Therefore, the common difference is 3, and the sequence is arithmetic.
9. The option that displays a steady rate of water being poured out of a pitcher.
d(t) = 0.5t
where d(t) represents the distance (in meters) the sloth travels after t minutes.
To find how far the sloth will travel in 8 minutes, substitute t = 8 into the function:
d(8) = 0.5(8)
d(8) = 4
Therefore, the sloth will travel 4 meters in 8 minutes.
7. The rule to find the volume of water that will leak in 3 hours is:
w(t) = 0.8t
where w represents the volume of water (in gallons) that will leak in t hours.
Substituting t = 3 into the function:
w(3) = 0.8(3)
w(3) = 2.4
Therefore, the volume of water that will leak in 3 hours is 2.4 gallons.
8. The following sequence is an arithmetic sequence:
–1, 2, 5, 8, . . .
This is because each term is obtained by adding 3 to the previous term. Specifically:
2 is –1 plus 3
5 is 2 plus 3
8 is 5 plus 3
Therefore, the common difference is 3, and the sequence is arithmetic.
9. The option that displays a steady rate of water being poured out of a pitcher.
6. Your family borrows $6,000 to buy a car. The car loan has a 5% annual interest. The loan is for five years. What is the total amount your family owes for the car?
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1 point
$1500
$7500
$15000
$6150
*
1 point
$1500
$7500
$15000
$6150
To calculate the total amount owed for the car, we need to take into account the initial loan amount and the interest accumulated over the five-year period.
The formula for calculating the amount of interest is:
Interest = Principal x Rate x Time
where Principal is the amount borrowed, Rate is the interest rate per year, and Time is the length of the loan in years.
In this case, we have:
Principal = $6,000
Rate = 5%
Time = 5 years
Substituting these values in the formula, we get:
Interest = $6,000 x 0.05 x 5
Interest = $1,500
So, the total amount owed for the car is the sum of the principal and the interest:
Total amount owed = Principal + Interest
Total amount owed = $6,000 + $1,500
Total amount owed = $7,500
Therefore, the total amount owed for the car is $7,500.
The formula for calculating the amount of interest is:
Interest = Principal x Rate x Time
where Principal is the amount borrowed, Rate is the interest rate per year, and Time is the length of the loan in years.
In this case, we have:
Principal = $6,000
Rate = 5%
Time = 5 years
Substituting these values in the formula, we get:
Interest = $6,000 x 0.05 x 5
Interest = $1,500
So, the total amount owed for the car is the sum of the principal and the interest:
Total amount owed = Principal + Interest
Total amount owed = $6,000 + $1,500
Total amount owed = $7,500
Therefore, the total amount owed for the car is $7,500.
1 answer