Answers
Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
Related Questions
The weather forecast says there is a `75\%` chance it will rain
Answers
The angle of elevation from a soccer ball on the ground to the top of the * 1 poi
goal is 34°. If the goal is 8 feet tall, what is the distance from the ball to
the goal?
Answers
Answer:
11.86
Step-by-step explanation:
Kevin is making 8 centerpieces for a party. In each centerpiece, of an ounce of flower food is used. How many ounces of flower food are used in the 8 centerpieces?
Answers
A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I. What is P(not A)? 89 23 13 19
Answers
Answer:
P(not A) = 8/9
Step-by-step explanation:
To write a simple probability, write a fraction. The bottom is all the possibilities, here there are 9. So put a 9 on the bottom. Then on top write how many ways the event can happen. There are 8 ways you can land on "Not A" (that is: B, C, D, E, F, G, H, I) So 8 goes on top. Simplify if possible. 8/9 cannot be simplified.
P(not A) = 8/9
As per the probability of an event, the value of P(not A) is 8/9.
What is the probability of an event?The probability of an event is the chance of happening that particular event.
Given, total number of events in the sample space = 9.
Number of favorable events in that sample space is = 1.
Therefore, the probability P(A) = 1/9.
Now, P(not A)
= 1 - P(A)
= 1 - 1/9
= 8/9
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please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Answers
==========================================================
Explanation:
Check out the diagram below to see what's going on.
a = 8.2 feetb = unknownc = 9 feetUse the pythagorean theorem to find b
[tex]a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\[/tex]
The length is roughly 3.7 feet.
Carmen will spend more than $35 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
Answers
Answer:
Anything more than $13
Step-by-step explanation:
I will mark brainlist to whoever answers first
Answers
Answer:
∠V = 32°
Step-by-step explanation:
VW = UV
⇒ Isosceles triangle. So, the angles opposite sides are equal.
∠W = ∠U
∴ ∠W = ∠U = 74°
Angle sum propertySum of all angles of triangle = 180
74 + 74 + ∠V = 180
148 + ∠V = 180
∠V = 180 - 148
∠V = 32°
Multiply, add and subtract to find the total. *
calvin paints ad posters. he charges $50 for a large poster and
$30 for a small poster. last week, he sold 3 large posters and 6
small posters. he also had to spend $40 to buy more paint.
how much money does calvin have left?
your answer
Answers
Answer:
$290
Step-by-step explanation:
3x50=$150
6x30=$180
180+150=$330
330-40=$290
A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spun. Each outcome is equally likely. The game costs $5 to play. The number of dollars you win is the square of the number that comes up on the spinner. Ex: If the spinner comes up 3, you win $9. Let N be a random variable that corresponds to your net winnings in dollars. What is the expected value of N
Answers
The expected value of N will be given as:- Money = N² - 5.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
It is given in the question that:-
A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spunThe game costs $5 to play.The number of dollars you win is the square of the number that comes up on the spinner.If the spinner comes up 3, you win $9.So from the given information, the expression will be:-
N be a random variable that corresponds to your net winnings in dollars.
Money = N² - 5.
From the above equation, we can calculate the amount earned by the spinner number that comes.
Therefore the expected value of N will be given as:- Money = N² - 5.
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A__ is the amount you pay for the purchase of a house that decreases the amount of the loan.
O A closing payment
B. closing cost
O C. origination payment
D. down payment
Answers
Answer:
Down payment
Step-by-step explanation:
Down payment is the amount you pay for the purchase of a house that decreases the amount of the loan. It decreases the amount of interest paid over the lifetime of the loan
The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden. The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation. Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
Answers
The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
The equivalent expression using exactly two termsThe perimeter is given as:
P = 15 + 2x + 7 + 15 + 2x + 7
Collect like terms
P = 2x + 2x + 7 + 15 + 15 + 7
Evaluate the like terms
P = 4x + 44
The area of the gardenThe area of the garden is given as:
A = 15(2x + 7).
Expand
A = 30x + 105
Manual's expression of the area is 30x + 7
Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105
The difference between the areas of Manual’s garden and Sasha's designThe side length of Sasha's design is:
L = 3x + 5 in
So, the area is:
A = (3x + 5)^2
Expand
A = 9x^2 + 16x + 25
The difference between both areas is:
Difference = 9x^2 + 16x - 30x + 25 - 105
Evaluate
Difference = 9x^2 - 14x - 80
Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80
The perimeter of Sasha's gardenThis is calculated using:
P = 4L
So, we have:
P = 12x + 20
The difference between both perimeter is:
Difference = 12x - 4x + 20 - 44
Evaluate
Difference = 8x - 24
Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
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The circumference of the target above is 6,575.16 mm. What is the diameter of the target? Use = 3.14.
Answers
So, 6,575.16/3.14 exactly is 2094.
d=2094
if there were 1580 people who participated in the survey then how many people said they had 4 members in their family?
Answers
Answer:
632
Step-by-step explanation:
1580*0.4=632
Ruben had a 18.4 m length of rope. He used 6.4 m of the rope
to make a rope ladder for a playground. He cut the remaining
rope into 2 equal pieces to make tire swings. How long is each
tire swing rope?
Answers
Answer:
3.2m
Step-by-step explanation:
First you do 18.4-6.4m, to get the amount of rope left after Ruben has used some to make that rope ladder. Then you get your answer, which in this case is 6.4, and divide it by 2. This way we get the length of one of the two equal lengths. After this we get 3.2m, which is the length of each tire swing rope!
Answer:
6 m.
Step-by-step explanation:
Remaining length = 18.4 - 6.4 = 12 m
So the length of each swing rope
= 12/2
= 6 m.
It's a seven grade social studies I know this is math but people aren't active in social studies All I'm trying to ask is how did the issue of slavery cause the Civil War in the election of 1860 the presidential election of 1860
Answers
Answer:
The election of 1860 established the Democratic and Republican parties as the majority parties in the United States. It also confirmed deep tensions surrounding slavery and states’ rights between the North and South. Before Lincoln’s inauguration, eleven Southern states seceded from the Union and just after his swearing-in, the Confederate Army fired on Fort Sumter, starting the Civil War.
please help i dont understand how to find c i know about theorems but
Answers
Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.
Answer:
c = 57 degrees.
Step-by-step explanation:
This is the Alternate Segment theorem:
The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.
So c = 57 degrees.
I need help. Please and thank you
Answers
Answer:
3/4
Step-by-step explanation:
Subtract 3 2/4 from 2 3/4
- Multiply 3 and 4 to get 12.
- Add 12 and 2 to get 14.
- Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.
- Multiply 2 and 4 to get 8.
- Add 8 and 3 to get 11.
- Least common multiple of 2 and 4 is 4. Convert 7/2 and 11/4 to fractions with denominator of 4
- Since 14/4 and 11/4 have the same denominators, subtract both by subtracting their numerators
- Subtract 11 from 14 to get 3
Calculating the relative frequencies from the data given in the table. choose all that correctly describe an association between favorite subject and grade.
a higher percentage of 8th graders than 7th graders prefer history.
a higher percentage of 7th graders than 8th graders prefer english.
a higher percentage of 8th graders than 7th graders prefer math/science.
Answers
Answer:
a higher percentage of 8th graders than 7th graders prefer history.
a higher percentage of 8th graders than 7th graders prefer math/science.
Step-by-step explanation:
HELP ME PLEASE IM GOING TO FAIL!!!
Answers
Answer:
-1
Step-by-step explanation:
m= -1
Slope Formula: (y2 - y1) / (x2 - x1)
Point 1 = (4, 3)
Point 2 = (11, -4)
Slope = (-4 - 3) / (11 - 4) = -7 / 7 = -1
Answer: slope = -1
Hope this helps!
The ratio of the distance around a circle, the circumference, to the distance across a circle, the diameter, is represented by the Greek letter a. If the circumference of a circle is 6.28 inches and the diameter of the same circle is 2 inches, what is the approximate value of a to two decimal places?
Answers
Answer:
3.14 inches
Step-by-step explanation:
diameter=2inches radius =1
The formula for circumference of a circle with radius r is 2πr.
The formula for the area of a circle with radius r is πr²
π≈3.14
So the radius of our circle is
6.28/2π
≈6.28/2×3.14=1
its area is πr²
≈3.14×1²=3.14
What percent of 4c in each expression?
c
Answers
An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .
What is the expression about?An expression in math is known to be the putting together of numbers, variables, etc.
For the expression above,
(3a - 2b + 4c) + (3b - 2c) - (a - b - c)
Therefore:
= 3a - 2b + 4c + 3b - 2c - a + b + c
The answer will be = 2a + 2b + 3c
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Angle Side Relationship 1/5
Will mark brainlist to whoever answers first
Answers
Answer:
m<A > m<B > m<C
Step-by-step explanation:
In triangles, the measure of angles is proportional with the side length's they see,
The angle with the biggest the biggest measure sees the biggest side length
in triangle ABC the side lengths are given as
BC = 14, CA = 13 and AB = 5
from this, we can conclude:
m<A > m<B > m<C
Find the Surface Area:
A) 138 m^2
B) 304 m^2
C) 252 m^2
D) 75 m^2
E) 151 m^2
Answers
Answer:
151 m^2
Step-by-step explanation:
Given,
Height ( h ) = 10 m
Radius ( r ) = 2 m
To find : Surface Area
Here, the shape is cylinder.
Formula : -
Surface area of cylinder = 2πr ( r + h )
Note : -
The value of π is 3.14
Surface area of cylinder
= 2πr ( r + h )
= 2 x 3.14 x 2 ( 2 + 10 )
= 12.56 ( 12 )
= 12.56 x 12
= 150.72
= 151 m^2 ( approximately )
What is the expansion of the series sum from n equals 1 to 4 of 2 to the n plus 1 power question mark
2 + 4 + 6 + 8
2 + 4 + 8 + 16
4 + 6 + 8 + 10
4 + 8 + 16 + 32
Answers
The expansion of the series is 2 + 6 + 8 + 10
How to determine the expansion?The summation expression is given as:
[tex]\sum\limits^4_{n=1} 2(n + 1)[/tex]
When n = 1, we have:
2(n + 1) = 2(1 + 1) = 4
When n = 2, we have:
2(n + 1) = 2(2 + 1) = 6
When n = 3, we have:
2(n + 1) = 2(3 + 1) = 8
When n = 4, we have:
2(n + 1) = 2(4 + 1) = 10
So, we have:
[tex]\sum\limits^4_{n=1} 2(n + 1) = 2 + 6 + 8 + 10[/tex]
Hence, the expansion of the series is 2 + 6 + 8 + 10
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Answer:
The correct option is actually d. 4 + 8 + 16 + 32
Step-by-step explanation:
Suppose that $f(x)$ and $g(x)$ are functions on $\mathbb{r}$ such that the range of $f$ is $[-5,3]$, and the range of $g$ is $[-2,1]$. the range of $f(x) \cdot g(x)$ is $[a,b]$. what is the largest possible value of $b$
Answers
The largest possible value of b is 10, since for some x = x₀ it could be the case that f(x₀) = -5 and g(x₀) = -2; then f(x₀) g(x₀) = -5 × -2 = 10.
Round 6254 correct to 1 signature figure
Answers
Answer:
6000
Step-by-step explanation:
6.25×10 3x 6.3×10 3x6×10 3×A total of 337 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
The total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number of adult tickets is x
So the number of student tickets is (x-73)
x + (x-73) = 337
2x—73 = 337
2x = 410
x = 205 tickets
Thus, the total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
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What is the length of the hypotenuse of the triangle ABC
what is the length of the shorter leg of triangle ABC
What is the length of the longer leg of triangle ABC
thank you sm!!!!
Answers
Answer:
9. AB = (40/3)√3
10. BC = (20/3)√3
Step-by-step explanation:
The ratios of side lengths in the "special" 30-60-90° triangle are ...
1 : √3 : 2
__
If D is the point where the altitude meets AB, then we have for the left triangle ...
CD : AD : CA = 1 : √3 : 2 = 10 : 10√3 : 20
and, for the right triangle ...
BD : CD : BC = 1 : √3 : 2 = (10/√3) : 10 : (20/√3)
and for the large triangle ...
BC : CA : AB = 1 : √3 : 2 = (20/√3) : 20 : (40/√3)
__
9.The hypotenuse of ΔABC is AB, shown above to be ...
AB = 40/√3 = (40/3)√3
__
10.The shorter leg of ΔABC is BC, shown above to be ...
BC = 20/√3 = (20/3)√3
How far does the unicycle move if the wheel turns once?
Pierre enters a 100m unicycle race. How many times must the wheel rotate completely in order for Pierre to travel 100m?
Answers
The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m
Circumference of a circleThe formula for calculating the circumference of a circle is given as:
C = 2pi r
r is the radius of the circle
a) r = 80/2 = 40cm
C = 2(3.14)(40)
C = 251.20 cm
Hence the unicycle moves a distance of 251.20cm if the wheel turn once
b) Number of revolution * 2pi r = distance covered
n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314
n =32
Hence the wheel must rotate 32 times to cover a distance of 100m
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(06.01 MC)What is the value of the expression 2 + 32 ⋅ (3 − 1)?
20
22
23
32
Answers
Answer:
22
Step-by-step explanation:
3-1=2
2+3^2 x 2
3x3=9
2+9 x2
11x2=22