(Score for Question 2: ___ of 10 points)
2. A room is shaped like a trapezoid as shown.
(a) What is the area of the room? Use the formula . Show your work.
(b) Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
(c) Furniture covers 25% of the floor. How many square feet of carpet are covered by furniture? Show your work.
(PLEASE SHOW THE WORK ON HOW TO DO IT FOR EACH ONE)
Answer:
Answers
The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
What is the area of trapezoid?The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.
[tex]A=\dfrac{(a+b)h}{2}[/tex]
Here, (a and b) are the base sides of the trapezoid and (h) is the height.
A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,
[tex]A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2[/tex]
Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,
C=812×$8.30
C=$6739.6
Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,
[tex]A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2[/tex]
Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
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Related Questions
Curtis threw 15 darts at a dartboard. 40% of his darts hit the bullseye. How many darts did not hit the bullseye?
Answers
Answer:
9
Step-by-step explanation:
Because 40% hit the bullseye, we can subtract 40% from 100% meaning 60% did not hit the bullseye.
We can then convert 60% into the decimal .6 and multiply it by 15.
15 x .6 = 9
Which type of question is most useful in a group discussion?
A. Closed questions
B. Open questions
C. Multiple choice questions
D. Written responses
Answers
Answer:
B
Step-by-step explanation:
it is B I am so sorry if it is wrong
A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?
Answers
Answer:
B = R 100 000
Step-by-step explanation:
B will be 2 out of 4 + 3 + 2 = 2/9 of the total
2/9 * 450 000 = 100 000
The points (-4, -3) and (r,15) lie on a line with slope 2. Find the missing coordinate
Answers
Answer is 5
Slope is found by finding change in y over change in x
First I solved for Y, -15-3= -18
So I knew x had to be -9 for the slope to be 2
See picture for detailed math
What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of time. B. This type of credit is sometimes referred to as a consumer loan. OC. This type of credit is commonly used for big ticket things like mortgages or car loans. Payments typically stay the same amount from month to month.
Answers
Answer:
Option B
Step-by-step explanation:
Open end credit 's biggest example is our credit card
You use credit card and take the money borrow from bank as per your requirement.If you pay in time your credit score increases else decreases.Option B is correct
Translate into an equation.
The sum of seven and a number, x, is five.
Answers
Answer:
x + 7 = 5
Step-by-step explanation:
I think this should be an equation I’m in 7th and I am learning these again so it should be an equation.
Use the the limit of sin of x all over x as x approaches 0 equals 1 to determine the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0.
Answers
The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
Limit of the function
The limit of the function is determined as follows;
[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]
The derivative of the function;
[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]
Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
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7. Given the following Balance Sheet
extract, calculate the net profit on the
Income Statement. (Assuming tax rate
= 10% of operating profit)
Balance Sheet Extract:
Shareholders Equity
Common Stock
200
25
Retained Earnings
Revenues
170
Cost of Sales
(103)
Salaries
(30)
Interest
(12)
Answers
The net profit on the Income Statement based on the balance sheet given will be 21.
How to calculate the net profit?The net profit will be calculated thus:
Revenue = 170
Less coat of sales = 103
Less salaries= 30
Operating income = 30
Less interest = 12
Income before tax = 25
Less Income tax = (10% × 37) = 3.7
Net profit = 21.3 = 21
Therefore, the net profit on the Income Statement based on the balance sheet given will be 21.
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Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship?
Answers
Answer:
y=0.5x + 4
..............
Answer:
The answer is C y=0.5x+4
Step-by-step explanation:
pretend this is a 20 letter question please help me
Answers
Answer:
1.64+0.94v
Step-by-step explanation:
0.2(8.2+4.7v)
0.2(8.2)+0.2(4.7v)
1.64+0.94v
I'm not very confident with this answer but I hope this helps
A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.
Answers
The amount liters of liquid needed for 2 servings of pudding.
Solution:1 serving:[tex]600 + 120[/tex]
[tex] = 720 \: ml[/tex]
2 serving:[tex]720 \times 2[/tex]
[tex] = 1440 \: ml[/tex]
Let's solve[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]
[tex] \frac{1440}{1000} [/tex]
[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]
Therefore, 1.44 litres of liquid are required for 2 servings.
Suppose that you have $14,000 to invest and you are trying to decide between investing in project A or project B. If you invest in
project A, you will receive a payment of $17,000 at the end of 3 years. If you invest in project B, you will receive a payment of $56,000
at the end of 23 years. The annual interest rate is 6 percent and both projects carry no risk.
Instructions: Round your answers to the nearest dollar. Do not round your intermediate calculations.
a. What is the present value of each project? Enter your answers in the table below.
Present Value
Project A =
$
Project B =
$
b. Which project will you choose for your investment?
Project A
Project B
Answers
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Calculate the following. (Round your answer to two decimal places.)
sample mean = x
Answers
If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.
Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.
Then the mean of the sample will be
[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]
Then the table is given below.
Then we have
[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]
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HELP NEEDED ASAP
answer these problems (image provided)
1. What is the volume of the first cube?
What do you know about the sides of a cube?
2. What is the volume of the cube with sides of 24m?
3. What is the volume of the cube with sides of 7m?
4. What is the combined volume of these 2 cubes?
5. How much more gold do you get in the better option?
Answers
Step-by-step explanation:
1 15625 m
2 13824 m
3 343 m
4 14167 m
5 cube with 25 m
I need help in this question
Answers
Answer:
I am not entirely sure but The maximum is 500 and b $0.50
Two of the angles in a triangle measure 57º and 25°. What must be the measure of the
third angle?
The measure of the third angle is
Plssss i need the answer
Answers
The measure of the third angle in the triangle is 104 degrees
How to determine the measure of the third angles?Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
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Given:
O {2,5}
O {1, 7, 11}
Set A = 1, 2, 5, 7, 11
Set B= 1, 4, 7, 8, 11
What is AUB?
O {1, 2, 4, 5, 8, 11}
O {1, 2, 4, 5, 7, 8, 11}
Submit Answer
Answers
Step-by-step explanation:
the united set of A and B contains every element of both sets without listing any element twice.
so, it is
{1, 2, 4, 5, 7, 8, 11}
Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove:
E
D
F
חד
C
Answers
The proof of the given statements is shown below:
What is tangent to a circle?A line segment which touches a circle specified to only one point is called a tangent to that circle.
1. given
2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.
3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,
angle EFC =90
4. Sum of interior angles of a triangle is 180°.
5. proved above: angle EFC= 90
6. FEC + ECF= 180-90=90
7. As proved above
FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.
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I need help asap please
Answers
Answer:
17.5
Step-by-step explanation:
Two points which lie on the line are : (0, 0) and (4, 70)
Constant of proportionality :
y₂ - y₁ / x₂ - x₁70 - 0 / 4 - 070/417.5can anyone tell me what points I plot these two at ? ty
Answers
Answer:
Both graphs in 2 separate attachments--placed in order
Hope it helps.
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
Let's solve for x ~
⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]
⇢ [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]
⇢ [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]
⇢ [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]
⇢ [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]
⇢ [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]
P.S here's the graph that might help you!
Let's solve of x ~
⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]
⇢ [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]
⇢ [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]
⇢ [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]
⇢ [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]
⇢ [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]
P.S here's the second image of the graph. so, you won't get confused.
Hope It Helps! ~
~ Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S
Answers
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
_____
Additional comment
It is impossible to specify an equilateral triangle using rational coordinates.
If triangle PQR ~ triangle XYZ, with a scale factor of 8:5, find the value of x and then use to find the perimeter of triangle PQR. PQ: 16, QR: 96, PR: 8x ; XY: 10, YZ: 60, XZ: 55
Answers
16/10= 96/60=8x/55=8/5
8x*5=55*8
40x=440
x=11
Which figure could Jose have constructed?
Answers
Answer:
what is the figure so i can awnser iit
Step-by-step explanation:
?
If ABCD and MNPQ are squares, where M is the center of the first. Calculate x
Answers
Answer:
x=48º
Step-by-step explanation:
The radius, R, of a sphere is 7.8 m. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer:
1986.8m³
Step-by-step explanation:
Radius=7.8m
Volume of sphere =4/3pi r³
=4/3×3.14×7.8³=1986.8m³
A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.
Answers
Middle - cherry
Most likely - grape
The expression 12.66d + 11.12c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy pounds of almonds and pounds of cashews?
Pls help
Answers
What is value of m in the equation 3 (2x - 4) = x +3
Answers
Step-by-step explanation:
6x-12=x+3
6x-x=3+12
5x=15
x=15/5
x=3
Answer:
x = 3Step-by-step explanation:
What is value of m in the equation
3 (2x - 4) = x +3?
3 (2x - 4) = x + 3
6x - 12 = x + 3
5x = 15
x = 15 : 5
x = 3
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answers
Answer:
115 degrees
Step-by-step explanation:
180-165
=115
~rere
Answer:
x = 115°
Step-by-step explanation:
Given angle y = 65°
Find angle x
=> x + y = 180
=> x + 65° = 180
=> x = 180 - 65
=> x = 115°
HOPE THIS HELPS AND HAVE A NICE DAY <3
Solve this fraction, thanks!
[tex] \frac{10}{5} + \frac{ - 12}{5} [/tex]
Answers
Answer:
-2/5
Step-by-step explanation:
I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!
Answer:
-2/5
Step-by-step explanation:
+ × - = -
10/5-12/5
apply the fraction rule a/c-b/c =a-b/c
10-12/5
substract 10-12 =-2
-2/5