Can you please help me out with a question
Answers
To solve this problem we first need to calculate the total area of the circle, then calculate the area for the circular sector of 15 degrees and subtract the two areas.
The area of the circle is given by:
\(A_{\text{circle}}=\pi\cdot r^2\)For this circle we have a radius of 9 m, therefore:
\(A_{\text{circle}}=\pi\cdot(9)^2=81\cdot\pi\text{ square meters}\)The area of a circular sector can be found by using the following expression:
\(A_{\text{sector}}=\frac{\theta\cdot\pi\cdot r^2}{360}\)For this sector the angle is 15 degrees and the radius is 9 m, therefore:
\(A_{\text{sector}}=\frac{15\cdot\pi\cdot9^2}{360}=3.375\pi\text{ square meters}\)The area for the shaded sector is the subtraction between the two areas above. We have:
\(A_{\text{shaded}}=81\pi-3.375\pi=77.625\pi\text{ =}243.866\text{ square meters}\)The correct option is B, the area of shaded sector is 243.866 square meters.
Related Questions
What is the standard form of y - 8 = 2(x + 3)
Answers
Answer:
y=2x+14
Step-by-step explanation:
y=2x+2.3+8=2x+14
32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet
Answers
Answer:
The correct answer is A.
Step-by-step explanation:
The correct answer is A.
To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.
Does 17 divide each of these numbers?
a)68 b) 84 c) 357 d) 1001
Answers
Hello !
68/17 = 4
=> yes for 68
84/17 = 4.941...
=> no for 84
357/17 = 21
=> yes for 357
1001/17 = 58.882...
=> no for 1001
Part 1: Factorial! 3. What are the pros and cons to using the factorial function on your calculator in terms of understanding and/or thecalculation itself?
Answers
Explanation
We are required to determine the pros and cons of using the factorial function on the calculator.
Hence, the answers are:
- Pros
• It makes calculation easier.
,• It makes calculations to be done in an efficient manner.
,• It helps students to solve complicated questions seamlessly.
- Cons
• It cannot help with large numbers as the calculator has limited space for answer preview.
,• It does not help to understand better how the calculation is done.
What is the degree of the power function represented in the table?
1
2
3
4
Answers
We can plot a graph based on the data from the table given. x represent x-axis and f(x) represent y-axis. From the shape of the graph, we know that it is a quadratic function. Thus, the degree of the power function is 2.
You are skiing down a mountain with a vertical height of 650 feet. The distance from the top of the mountain to the base is 1300 feet. What is the angle of elevation from the base to the top of the mountain
Answers
Answer:
The angle of elevation from the base to the top of the mountain is 30°.
Step-by-step explanation:
Given: Vertical height of mountain is 650 feet and the distance from the top of the mountain to the base is 1300 feet.
To find: The angle of elevation from the base to the top of the mountain.
Let AB be the height of mountain and BC be the base.
Then, according to question, AB=650 feet and AC=1300 feet.
Let ∠ACB=\(\Theta\).
Then, in ΔABC,
\(sin\Theta=\frac{AB}{AC}\)
⇒\(sin\Theta=\frac{650}{1300}\)
⇒\(sin\Theta=\frac{1}{2}\)
⇒\(\Theta=30\)°
Hence, the angle of elevation from the base to the top of the mountain is 30°.
help me please
dont even need a full explanation
Answers
5x + 10 = 3x + 5
5x - 3x = 5 - 10
2x = -5
X = -5/2
2,239 ÷ 7
Division compatible numbers
Answers
Answer:the answer is 319.857 and round to 320
Step-by-step explanation:
Simplify sq rt of -144
Answers
Answer:
12i
Step-by-step explanation:
sqrt(-1) = i, sqrt(144) = 12
you throw a rock up into the air as hard as you can. it stays in the air for 8 seconds. what was the velocity of the rock when you threw it?
Answers
Answer:
39.2 m/s
Step-by-step explanation:
Let a = 9.8 m/s^2, t = 8 sec, find the initial velocity v
After time t, the rock hit the ground, so the height h = 0
Use h = vt - at^2/2 = 0
v = at/2 = 9.8 * 8/2 = 39.2 m/s
Drag each angle measure to the correct location. Each angle measure can be used more than once.
In the figure, two parallel lines are cut by a transversal. Two of the angles are labeled. Find the measures of the other angles and label them.
Answers
Answer:
\(4 > {47 + 1 = fs \cos( \cos(34 + \sqrt[33]{?} ) ) \times \frac{?}{?} }^{?} \)
ok I hope it's good answer
Answer: there u go i hope it helps
Step-by-step explanation:
Ed needed to extend the string on his kite. The current string was nine and three fourths feet. He cut a piece of string that measured 2.5 feet and added it to the existing string. What is the new length of the string?
twelve and one fourth feet
eleven and three fourths feet
seven and one half feet
seven and one fourth feet
Answers
Answer:
Twelve and one fourth feet
Step-by-step explanation:
9 and 3/4 feet =9.75
2 and 2/4 feet =2.50
9.75 + 2.50
= 12.25/12 and 1/4 feet
Carleigh, Inc., is a pork processor. Its plants, located in the Midwest, produce several products from a common process: sirloin roasts, chops, spare ribs, and the residual. The roasts, chops, and spare ribs are packaged, branded, and sold to supermarkets. The residual consists of organ meats and leftover pieces that are sold to sausage and hot dog processors. The joint costs for a typical week are as follows: Direct materials $84,500 Direct labor 29,000 Overhead 20,000 The revenues from each product are as follows: sirloin roasts, $68,000; chops, $71,000; spare ribs, $33,000; and residual, $9,800. Carleigh’s management has learned that certain organ meats are a prized delicacy in Asia. They are considering separating those from the residual and selling them abroad for $52,000. This would bring the value of the residual down to $2,650. In addition, the organ meats would need to be packaged and then air freighted to Asia. Further processing cost per week is estimated to be $27,500 (the cost of renting additional packaging equipment, purchasing materials, and hiring additional direct labor). Transportation cost would be $12,100 per week. Finally, resource spending would need to be expanded for other activities as well (purchasing, receiving, and internal shipping). The increase in resource spending for these activities is estimated to be $3,120 per week.
Answers
Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.
To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.
The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).
Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.
However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).
Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.
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The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf. Find the best-case height of a binary tree with seven nodes.
Answers
the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.
A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.
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Savannah buys a $40 gift card to her favorite smoothie shop. Each smoothie costs $4. She wants to have at least $10 left on her card at the end of this month. The inequality below relates x, the number of smoothies she could buy between now and the end of this month with her gift card balance. 40 minus 4 x greater-than-or-equal-to 10 Which best describes the number of smoothies Savannah can buy? She can buy from 0 to 3 smoothies, but no more. She can buy from 0 to 7 smoothies, but no more. She can buy from 0 to 8 smoothies, but no more. She can buy from 0 to 10 smoothies, but no more.
Answers
Answer:
0-7 bc 7×4 is 28 and 8×4 is 32, 32 is over the balance 28 is right on
Answer:She can buy from 0-7 smoothies, but no more.
Step-by-step explanation:i got it right
There are 1,570 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will be needed? boxes will be needed to hold all the souvenir paperweights.
Answers
Answer:
93 boxes will be needed.
Step-by-step explanation:
Divide 1570 ÷ 17
This gives the answer 92.35
So 92 boxes won't be enough. 0.35 of a box itsn't helpful in the real world. So you need 93 boxes.
How do I find GBA and show all the work
Answers
Answer:
Angle ACB = 44°
There are two ways to solve it. Both are right
Solution number 1
From triangle ABC
angle BAC = 180°-(102° +44°) = 36°
Because BG is parallel with AC
Then angle GBA = angle BAC = 34°Another solution
The sum of angles in the shape AGBC = 360°
So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°S= hp + 2B.
h = height
p = perimeter of base
b = area of base
Solve for h and b
Answers
The equation solved for the variable are;
h = S- 2B/p
b = S - hp/2
How to determine the equationsTo determine the equation, we need to know that the subject of formula for an equation is described as the variable that is made to stand on one end of the equality sign.
It is the variable that is being worked out.
From the information given, we have that;
S= hp + 2B.
To make the height with the variable 'h' the subject, we have;
collect the terms
hp = S - 2B
Divide by the coefficient
h = S- 2B/p
For b, we have;
S - hp = 2b
divide by the coefficient
b = S - hp/2
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Jackie used a photocopier to reduce an image that was 4 inches wide and 6 inches long. If the reduced image was 4 inches long, how wide was the reduced image
Answers
The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
What is Area?An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.
Given:
The initial length of the image, l = 6 inches,
The initial width of the image, w = 4 inches,
The reduced length of the image, L = 4 inches,
The area of the initial image = The area of the reduced image,
l × w = L × W
Here W is the reduced width.
Substitute the values,
6 × 4 = 4 × W
W = 6 inches,
Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
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1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
Answers
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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The trajectory of a golf ball hit from a tee on the ground at an angle of 40 degrees with an initial speed of 50 meters per second can be modeled by the parabola f(x) = 0.84x − 0.0033x^2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the golf ball travels before hitting the ground.
Answers
Therefore, the horizontal distance the golf ball travels before hitting the ground is approximately 254.55 meters.
What is equation?In mathematics, an equation is a statement that shows the equality between two expressions, typically separated by an equal sign (=). An equation can contain one or more variables, which are symbols that represent unknown or varying values. The value of the variable(s) can be found by solving the equation.
Here,
The equation of the parabolic trajectory of the golf ball is given by:
f(x) = 0.84x - 0.0033x²
where x is the horizontal distance travelled by the ball and f(x) is the corresponding height at that distance. To find the highest point of the trajectory, we need to find the vertex of the parabola. The x-coordinate of the vertex is given by:
x = -b / 2a
where a and b are the coefficients of the quadratic term and the linear term in the equation of the parabola, respectively. In this case, we have:
a = -0.0033 and b = 0.84
Substituting these values into the formula, we get:
x = -0.84 / 2(-0.0033)
= 127.27
So the horizontal distance at the highest point of the trajectory is approximately 127.27 meters. To find the height of the highest point, we substitute this value of x into the equation of the parabola:
f(127.27) = 0.84(127.27) - 0.0033(127.27)²
f(127.27) ≈ 21.67
So the highest point of the trajectory is approximately 21.67 meters above the ground.
To find the horizontal distance the golf ball travels before hitting the ground, we need to find the two values of x where the height of the ball is zero (i.e., where the ball hits the ground). We can set f(x) = 0 and solve for x:
0 = 0.84x - 0.0033x²
0.0033x² = 0.84x
x = 0 or x = 254.55
So the golf ball hits the ground twice, once at x = 0 (i.e., where it was hit from the tee) and once at x ≈ 254.55 meters.
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is parallel to its base, as in the picture below. What is produced
from this intersection?
OA. A pair of intersecting lines
OB. A point
OC. A pair of parallel lines
OD. A parabola
Answers
Answer:
B. A point
Step-by-step explanation:
You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.
VertexThe vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.
The intersection is one point.
__
Additional comment
Figure f in the attachment illustrates this case.
When Joyce went to the store, she bought a 32-ounce jar of jelly, a 16-
ounce jar of pickles, and an 8-ounce tub of butter. About how many total
grams are the three items? (1 ounce = 28 grams)
Answers
Answer:
1568 grams
Step-by-step explanation:
32 x 28 = 896 ][ 16 x 28 = 448 ][ 8 x 28 = 224 ; 896 + 448 + 224 = 1568
2,312 ÷ 34
lllllllllllllllllllllllllll
Answers
Answer:
68
Step-by-step explanation:
I literally just used a calculator LOL
You got this!!
And I hope you have a great day/night!
The diameter of a cylindrical water tank is 13 ft, and its height is 10 A. What is the volume of the tank?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer. Pls help me
Answers
v = πr^2h
then plug in the values:
π = 3.14
r = 1/2d = 6.5
d = 13
h = 10
v = (3.14)(6.5)^2(10)
now solve
v = (3.14)(42.25)(10)
v = (132.665)(10)
v = 1326.65 ft^3
now round
v = 1327 ft^3
ANSWER: 1327 ft^3 (1327 cubic feet)
i need help question
Answers
Answer:
what is your question
I am not able to see your question
find the area of the triangular prism
Answers
The total surface area of the triangular prism using the net is 96 square units
Calculating the total surface area using the net.From the question, we have the following parameters that can be used in our computation:
The net of a triangular prism
The surface area of the triangular prism from the net is calculated as
Surface area = sum of areas of individual shapes that make up the net of the triangular prism
Using the above as a guide, we have the following:
Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6
Evaluate
Area = 96
Hence, the surface area is 96 square units
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rick and tina hiked at different constant rates. rick hiked 1/2 mile every 15 minutes or 1/4 hour. It took Tina 10 minutes to hike 1/4 mile. Find the distance each hiked in 1 hour.
Answers
Answer:
Rick: 2 miles
Tina: 1,5
Step-by-step explanation:
60mn=1h
reck: 1/2x60÷15=2
tina: 1/4x60÷10=1,5
The distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
Rick hiked 1/2 mile every 15 minutes or 1/4 hour.
Tina 10 minutes to hike 1/4 mile.
We have to find the distance each hiked in 1 hour.
According to given question we have
Rick:
1/2 miles= 15 minutes or 1/4 hour
1 miles= 1/4*2=2 hour
2 hour =1 miles
1 hour=1/2 miles
Tina:
1/4 miles = 10 minutes or 10/60=1/6 hour
1 miles= =1/6*4=2/3 hour
2/3 hour=1 miles
1 hour = 1*3/2=3/2 miles
Therefore, the distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.
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3. Observe this Input/Output table. Which rule describes the function? Please help
Answers
Answer: n^2
Step-by-step explanation:
The output for each input matches the function.
3²=9
5²=25
7²=49
In the problem 10-4=6 what’s the correct term for the number 4?
A. Product
B. Difference
C. Minuend
D. Subtrahend
Answers
Answer:
D. subtrahend
a quantity or number to be subtracted from another. so, 4 is the number which is to be subtracted from 10.
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