Answer:
3060 [tex]cm^{2}[/tex]
Step-by-step explanation:
Find the cross-sectional area first of the trapezium
[tex]\frac{1}{2} (a+b)h[/tex]
So, [tex]\frac{1}{2}(6+34)15[/tex]
which is 40 / 2 x 15 = 20 x 15 = 300 [tex]cm^{2}[/tex]
Since there are 2 trapeziums (on the front and back): 300 x 2 = 600[tex]cm^{2}[/tex]
Find the Area of the Rectangles
The first rectangle on the top would be: 6x30 = 180 [tex]cm^{2}[/tex]
The slanted rectangle on the right would be: 25x30 = 750 [tex]cm^{2}[/tex]
The rectangle on the bottom would be: 30x34 = 1020 [tex]cm^{2}[/tex]
The hidden rectangle on the left would be: 17 x 30 = 510 [tex]cm^{2}[/tex]
So by combining all these calculations, you will get the total surface area which is:
600 + 180 + 750 + 1020 + 510 = 780 + 1770 + 510 = 2550 + 510 = 3060 [tex]cm^{2}[/tex]
solve the following equation
5-4sin²x + 4cosx =0
Answer:
use gauth math it really helps you
what is the volume of a cone with a base radius of 5 m and a height of 12 m
Can someone help?
Please?
Answer:
36
Step-by-step explanation:
FRIEND ME AM SMART
Answer:
Area = 35
Step-by-step explanation:
Area = base * height
A=b*h=7*5=35
Help please I need it
Answer: -35.375 or -283/8
Step-by-step explanation:
Begin with the parenthese: (-1.5+9.5)=8 and (7+11)
Then you have 5/8+0.4(18)/-0.2.
Multiply 0.4 times that 18 and you get 7.2.
Then you have 5/8+7.2/-0.2
Simplify 7.2/-0.2 which equals -36
Then you have 5/8+-36
5/8+-36=-35.375 or in fraction form -283/8
Help me please I don't know the answer
A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show work. (µC = 1.0 × 10–6)
For a 5.0 µC point charge moved within an electric field, the electric potential difference is mathematically given as
du=2*10^6
What is the electric potential difference before and after the charge was moved?Generally, the equation for the change in potential energy is mathematically given as
dV=qdu
Therefore
10=5*10^{-6}*du
du=2*10^6
In conclusion, the electric potential difference
du=2*10^6
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please answer please
Answer:
(7,2)
Step-by-step explanation:
we know (7,2) is the answers based on the evidence given in the example before
Select the correct answer from each drop-down menu.
Consider the equation below.
-2(53 + 8) = 14 + 65
The equation was solved using the following steps.
-10.1
-
- 16 = 14 + 65
-161 - 16 = 14
Step 1:
Step 2:
Step 3:
Step 4:
-161 = 30
30
--16
Step 5:
1
II
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
Step 1:
Step 2:
6x
Answer:
1: Distribute -2 to 5x and 8.
2:Subtract 6x.
3:Add 16.
4:Divide by -16.
Step-by-step explanation:
Answer:
1: Distribute -2 to 5x and 8.
2:Subtract 6x.
3:Add 16.
4:Divide by -16.
Step-by-step explanation:
Step-by-step explanation:
Denise is going to shop with the $250.00 that she earned from doing chores. She wants to save 20% of her money to put into a savings account. She buys a pair of jeans for $75.00 and a new leather coat for $110.00, with 5% sales tax on both items. Does Denise still have the amount of money she planned to put into her savings account?
Answer:
Yes
Step-by-step explanation:
Money to put into Savings Account
20% of $250.00 = 0.2 × $250.00
= $50.00
Cost of Jeans with sales tax
$75.00 + 5% = 105% of $75.00
= 1.05 × $75.00
= $78.75
Cost of Coat with sale tax
$110.00 + 5% = 105% of $110.00
= 1.05 × $110.00
= $115.50
Total money spent
= $78.75 + $115.50
= $194.25
Money left
= $250.00 - $194.25
= $55.75
$55.75 > $50.00
As the money left is more than 20% of $250.00 she does still have the money she planned to put into her savings account.
Date:
Your Assignment: Coffee Shop Prices
Choosing a Model
You are helping your boss, the owner of a coffee shop, set prices. She has gathered some data by
counting the number of cups sold per day at various prices. Your job is to see if there is a relationship
between price and sales for one of the two most popular drinks.
Coffee sales:
Price: 1. 50 2. 20 2. 70 2. 50 2. 90 2. 00 1. 60 2. 10 3. 00 1. 80
Sales:
96
79
70
73
64
85
94
83
63
91
Tea sales:
Price: 2. 40 1. 50 1. 10 1. 60 2. 50 1. 30 1. 00 1. 70 2. 20 2. 00
Sales:
64
85
94
83
63
91
96
79
70
73
1. Which drink did you select? Circle one.
The regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0
How to determine the regression equations of the drinks?The dataset of coffee is given as:
Price: 1.50 2.20 2.70 2.50 2.90 2.00 1.60 2.10 3.00 1.80
Sales: 96 79 70 73 64 85 94 83 63 91
Using a graphing calculator, we have the following calculation summary:
Sum of X = 22.3Sum of Y = 798Mean X = 2.23Mean Y = 79.8Sum of squares (SSX) = 2.521Sum of products (SP) = -57.14b = SP/SSX = -57.14/2.52 = -22.7a = MY - bMX = 79.8 - (-22.67*2.23) = 130.3The regression equation is represented as:
ŷ = bx + a
So, we have:
ŷ = -22.7x + 130.3
The dataset of tea is given as:
Price: 2.40 1.50 1.10 1.60 2.50 1.30 1.00 1.70 2.20 2.00
Sales: 64 85 94 83 63 91 96 79 70 73
Using a graphing calculator, we have the following calculation summary:
Sum of X = 17.3Sum of Y = 798Mean X = 1.73Mean Y = 79.8Sum of squares (SSX) = 2.521Sum of products (SP) = -57.14b = SP/SSX = -57.14/2.52 = -22.7a = MY - bMX = 79.8 - (-22.67*1.73) = 119.0The regression equation is represented as:
ŷ = bx + a
So, we have:
ŷ = -22.7x + 119.0
Hence, the regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0
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Paola made a rectangular painting that has an area of 24 square feet. He now wants to make a similar
painting that has dimensions that are 2/3 the size of the original. What will the area of the new painting
be?
A. ) 36 square feet
B. ) 16 square feet
C. )12 square feet
D. ) 10 2/3 square feet
A shape is rotated counterclockwise 110 degrees about the origin. What is another way to describe the rotation?
At max a rotation can be equal to π or 180°
So if it's rotated 110° counterclockwise then it's equal to rotation of supplementary angle clockwise
Supplementary angle=180-110=70°
70° rotation clockwise
When a shape is rotated counterclockwise 110 degrees about the origin, the rotation is described as 70 degrees clockwise.
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
A shape is rotated counterclockwise 110 degrees about the origin which is given in the question
A rotation can have a maximum of 180 degrees.
So a rotation of 110 degrees counterclockwise equals a rotation of supplementary angle clockwise.
According to the property of supplementary angle,
⇒ 180° - 110°
⇒ 70°
Thus, when a shape is rotated counterclockwise 110 degrees about the origin, the rotation is described as 70 degrees clockwise.
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URGETN DUE IN 20 MINUTES PLEASE HELP. Tammy went to Outback for dinner, and took Sue with her. The total bill cost $68.72. Service
was good so they left a 22% tip. If they split the bill, what did each of them pay for dinner.
Answer:
Step-by-step explanation:
find the tip
68.72 * 0.22 (22%) = 15.1184
I was hoping that 68.72 + 15.1184 would equal a nice round number, like if it had been 80 total, then they both could have dropped 40 dollars. which would make sense, and is probably what would really happen. But this is math, :D and it really doesn't have to make sense, it just has to be accurate.
so 68.72+15.12 = 83.84
83.84 / 2 =41.92 they each paid 41.92 or for crying out loud, would they really dig around for 92 cents? just give the waiter one whole dollar. So for accuracy they would each pay $41.92, but really they would each pay 42.00 dollars.. and to even be more real. they would each pay $40.00
Imagine you have five total nieces and nephews and their ages are 4, 10, 8, 9, and 5. What is the average age of your nieces and nephews? What is their median age?
Answer:
The mean is 7.2 and the median ( average) is 8
Step-by-step explanation:
4 + 10 + 8 + 9 + 5 = 36 / 5
The mean is 7.2 and the median ( average) is 8
Answer:
7.2 is the average.
8 is the median.
Step-by-step explanation:
Average = Sum/count
36/5 = 7.2
To find the median, you can take away numbers one by one on each side of the numerical order until you get down to the last number(s) in the middle. 8 is the middle number.
What must be the measure of Please answer ASAP!
Answer: 100 degrees
Step-by-step explanation:
2. Which expression is equivalent to 3(x - 1)?
a.
-
3 + x + 3 - 1
b. 3 + x - 1
с. 3х - 3
d. 3x - 1
Answer: 3× -3
Step-by-step explanation: Open the bracket by multiplying 3 with both sides
Answer is C
Answer:
C
Step-by-step explanation:
3× x+3×-1)
The brackets just just mean multiply everything outside with everything inside
What is the volume of the prism
Answer:
The volume is 627 meters cubed
Step-by-step explanation:
First we find the area of the base with this formula:
(11*6)/2
Next you would multiply the area of the base by the height:
33*19
✅Now your final answer should be 627!
Help please!!!!!!!!!
Answer:
5 right/left , 3 up/down
Step-by-step explanation:
Looking at the Graph count the rise/run of a point.
Need help with this question?
Answer:
six hundred and sixty-two by twenty-six
Step-by-step explanation:
six hundred and sixty-two by twenty-six
Miss Osborne enlarges a 4-inch by 6-inch photograph by 2.5x. What are the dimensions of the enlarged photograph?
Answer:
C. 10in by 15inStep-by-step explanation:
enlarging the photograph by 2.5x means multiplying all of the sides of the photograph 2.5 times
Then
the dimensions of the enlarged photograph are:
Width = 4 ×2.5 = 10
Length = 6 ×2.5 = 15
(In a class 20% were girls. If the number of girls were 60, how many boys were there?)
Step-by-step explanation:
100-20=80%
80%=4/5
4/5×60/1=48
48 boys but let me know if its wrong!
Find the TOTAL AREA INSIDE OF THIS FIGURE, the letter H
Answer:
31
Step-by-step explanation:
Multiply 7•2 which is 14, then multiply that by 2 so 14•2 because the sides are symmetrical, and that would be 28. After that you subtract 7-(3+3) to get the length of the center piece, and that would be 1, and multiply that by 3 which is 3. After that you add 28+3 and that's 31
Please help, I am struggling with this. Question is in image.
Answer:
- 6.5555 - 19/3 - sqrt 38 6.23
Step-by-step explanation:
[tex] \textbf{Solve for x : ~} [/tex]
[tex]\qquad \sf{2x + 1 = 5} [/tex]
Tuff question..
Here we go..
[tex]\qquad \sf{2x + 1 = 5} [/tex]
[tex]\qquad \sf{2x = 5 - 1} [/tex]
[tex]\qquad \sf{2x = 4} [/tex]
[tex]\qquad \sf{x = 4÷2} [/tex]
[tex]\qquad \sf{x = 2} [/tex]
I hope it helps you friend.
Step-by-step explanation:
2x+1=5
2x=5-1
x=4/2
x=2
How do you write 0.327 as a percentage
Tim uses a food delivery service to order dinner for himself and a friend. He paid $37.05 for dinner, which included the cost of the food and a delivery fee of 14% of the cost of the food. What was the cost of their dinner before the delivery fee?
Please explain!
Answer:
$31.86
Step-by-step explanation:
You can use a proportion here.
37.05 = 100%
x = 86% (100%-14% which is a delivery fee)
x = (37.05*86)/100
x = 3186.3/100
x = 31.86
The cost of their dinner before the delivery fee was $31.86.
I hope that I helped :)
Sally uses the pattern rule y = 4 + b to generate the first three outputs in the pattern. Which of the following is the fifth output in the pattern?
Captionless Image
5
9
8
10
Answer:
9
Step-by-step explanation:
y = 4 + b
Output is y
Input is b
We are asked to find out what we get if we input 5.
y = 4 + 5
4 + 5 = 9
y = 9
9 is the fifth output
List 6 calculative devices
Answer:
abacus, leibniz, slide rule and pascal calculator, difference engine, analytical engine, tabulating machine
Step-by-step explanation:
Carson rode his bike for 3 3/4 miles on Wednesday. On Thursday, he biked 1 1/2 times as far as on Wednesday. How many miles did Carson bike on Thursday?
Answer: 7½ miles
Step-by-step explanation:
15/4× 3/2 = 45/6
Find the height of the right cone.