7th grade - Find the surface area of this trapezoidal prism. Please help ASAP I'll give brainliest!!!
Answers
Answer:
[tex]380 \text{ m}^2[/tex]
Step-by-step explanation:
To find the surface area of the trapezoidal pyramid, we can use the formula:
[tex]SA = 2(b) + (p \cdot d)[/tex],
where [tex]b[/tex] is the area of the base, [tex]p[/tex] is the perimeter of the base, and [tex]d[/tex] is the prism's depth.
First, we should find the area of the base using the area of a trapezoid formula.
[tex]A_\text{trap} = \dfrac{b_1 + b_2}{2} \cdot h[/tex]
[tex]b = \dfrac{15 + 5}{2} \cdot 7[/tex]
[tex]b = 10 \cdot 7[/tex]
[tex]b = 70 \text{ m}^2[/tex]
Now, we can plug the given dimensions along with the base area into the surface area formula.
[tex]SA = 2(b) + (p \cdot d)[/tex]
[tex]SA = 2(70) + ([15 + 10 + 5 + 10] \cdot 6)[/tex]
[tex]SA = 140 + (40 \cdot 6)[/tex]
[tex]SA = 140 + 240[/tex]
[tex]\boxed{SA = 380 \text{ m}^2}[/tex]
Related Questions
PLEASE HELP ME FAST!!
The bottom of a bucket has a circumference of 63 in. What is the area of the bottom of the bucket ?
Show your work.
Don't forget to include the units.
Answers
Whats the ansewr to this one?
Answers
Answer:
1/9
Step-by-step explanation:
You want the probability of rolling a sum of 5 when you roll two dice.
Sum of 5There are 4 outcomes that have a sum of 5 when rolling two dice:
(1, 4), (2, 3), (3, 2), (4, 1)
There are 36 total possible outcomes, so the probability of rolling a 5 is ...
P(5) = 4/36 = 1/9
The probability of rolling a sum of 5 is 1/9.
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helpppp- just match them pls
Answers
Squaring is square root
Addition is minus
cubing is cube root
Squaring -> Taking the square root
Addition -> Subtraction
Cubing -> Taking the cube root
Solve using square root (2x +1)^2 = 25
Answers
x = 2, -3 is your answer
The answer is x = 2, -3
Solve for m. 10+8m= – 10m–8
m=
Answers
Answer:
Step-by-step explanation: don't know
Explanation:
Step 1: bring -8 to the left since it is less than 10. It would now be 18+8m= -10.
Step 2: you would then move 8 to the right side since you want them to be equal on both sides. it would now be 18= -18m
Step 3: Finally, you divide -18 since you want to find m;you would need to separate them
Answer is m= -1
I NEED HELP FAST
The wheels on Noah's bike have a circumference of about 6 feet.
How far does the bike travel as the wheel makes 12 complete rotations?
Show your work
Answers
Answer:
72 feet
Step-by-step explanation:
Because the circumference is 6 feet, with every complete rotation, the bike travels 6 feet. Therefore, the bike will travel 72 feet when the wheel makes 12 complete rotations.
Feel free to tell me if I did anything wrong! :)
When playing a board game, Leilani rolls a number cube twice to determine her next move. In her past 10 moves, she’s rolled two 5s once. How many times does she expect to again roll two 5s in her next 30 moves? Which statement compares this prediction to the theoretical probability of rolling two 5s.
Answers
Answer: Leilani has the probability of rolling two 5s three times on her next 30 moves.
Step-by-step explanation: If on average Leilani rolls once in 10, then we can predict that she will at least roll 3 in 30.
PLSSSS HELP ME< I WILL GIVE BRAINLIEST!!!
Answers
Answer:
x = 10
The shaded angles are each 31 degrees.
Step-by-step explanation:
I don't know if you are being asked to solve for x or the shaded angle, so we'll solve for both.
Those 2 shaded angles are equal to each other. So set them equal to each other & solve for x.
91-6x = 4x-9
91+9 = 4x+6x
100 = 10x
10 = x
Now substitute x=10 to find the measure of the shaded angles (which are equal).
91-6x = 91-6(10) = 91-60=31
The shaded angles are both 31 degrees .
What is the median of this data set?
Answers
Answer:
58
Step-by-step explanation:
It is the middle point/dot
in the box with the line
Write this number in scientific notation.
Thank you!
Answers
Answer:To write the number 0.0000149 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
First, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point, which gives us:
1.49 × 10^-5
Since we moved the decimal point 5 places to the right, the exponent of 10 is negative 5.
Therefore, the scientific notation of 0.0000149 is 1.49 × 10^-5.
Step-by-step explanation:
Answer:
1.49×10^-5
Step-by-step explanation:
0.0000149=1.49×10^-5
it's to the power of -5 because it's a decimal number not a whole number
What is the area of a square with a perimeter of 55 cm
Answers
Answer:
Step-by-step explanation:
A= 189.06cm2
Answer:
Step-by-step explanation:
189.06cm2
How far did I travel to reach my destination on each day of my three-day Trip? a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination. b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination. c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.
Answers
Answer: 81 miles
Step-by-step explanation:
The total distance traveled on the three-day trip is: 81 miles.
How did we get the value?Denote the total distance of each day's journey by D1, D2, and D3, respectively. Then write equations based on the given identities:
a. (5/8)D1 + 15 = D1
(3/8)D1 = 15
D1 = 40 miles
So, the total distance traveled on Day 1 is 40 miles.
b. 18 + (2/5)D2 = D2
(3/5)D2 = 18
D2 = 30 miles
So, the total distance traveled on Day 2 is 30 miles.
c. (5/11)D3 + 6 = D3
(6/11)D3 = 6
D3 = 11 miles
So, the total distance traveled on Day 3 is 11 miles.
Therefore, the total distance traveled on the three-day trip is:
40 + 30 + 11 = 81 miles.
learn more about distance: https://brainly.com/question/26046491
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please help
ill give brainleist
Answers
Answer:
1/6x + 47
1 2/3x+35 -1 1/2x +12
5(1/3x)+(5)(7)-(3)(1/2x)+(3)(4)
Options:
(B)
(C)
And (D)
PLEASE HELP I NEED THE ANSWER ASAP!!
(100 POINTS IF RIGHT!!!!!)
Answers
Answer:
1/2
Step-by-step explanation:
If the fraction of the box of pancake mix that Merida uses on Friday is not given, it is difficult to determine the exact fraction that she used on Saturday. However, if we assume that the fraction of the box of pancake mix used on Friday is 1/2 (which is a common amount for a recipe that serves 4-6 people), then we can solve for the fraction used on Saturday.
On Friday, Merida used 1/2 of the box of pancake mix.
On Saturday, she used 1 times as much pancake mix as Friday, or 1/2 * 1 = 1/2 of the box of pancake mix.
Therefore, Merida used 1/2 of the box of pancake mix on Saturday.
Note that if the fraction used on Friday is different, the fraction used on Saturday will also be different.
2, 3, 5, 9, 17, 22, 31, 39
Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17
Answers
Answer:
Mean = 16
Step-by-step explanation:
MEAN can be find bg the sum of all score divided by the amount of the score.
Mean = total amount / number of amount
Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39
= 128
number of amount = 2, 3, 5, 9, 17, 22, 31, 39
= 8
Then we can calculate mean as
Mean = 128/8
Mean = 16
2+3+5+9+17+22+31+39=128
128/8=16
At the sewing store, Samantha bought a bag of mixed buttons. She got 400 buttons in all. 400 of the buttons were large. What percentage of the buttons were large?
Answers
explanation
she got 400 buttons
400 were large
400/400 as a percent is 100%
Answer:100% of the buttons were large.
she got 400 buttons
400 were large
400/400 as a percent is 100%
Step-by-step explanation:
Explanation she got 400 buttons
400 were large
400/400 as a percent is 100%
help need it now.
Use the net to find the surface area of the regular pyramid.
Number only. NO UNITS!
Answers
Answer:
40 in.²
Step-by-step explanation:
First, you have to find the area of the triangle, which you then multiply by 4 (because there are 4 triangles):
A=1/2(bh)
A=1/2(3x4)
A=1/2(12)
A=6
6x4=24 in.²
Next, you have to find the area of the square:
A=bh
A=4x4
A=16
Now, add 24 and 16 together to get your answer of 40 in.².
Write an equation to match each graph.....
Answers
Second graph matches with Y=|x-2|-2
y=|x-2|-2
these are an equation for both
hope this helps!!!
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Answers
Time: Distance:
2 6
6 18
8 24
15 45
the distance (output) is 3 times larger than the time (input) so you have to multiply and divide to find the missing numbers.
Answer:
2 6
6 18
8 24
15 45
Step-by-step explanation:
6 = 18
X = 6
cross multiply
6 × 6 ÷ 18
=2
2 = 6
X = 24
Cross multiply
2 × 24 ÷ 6
= 8
2 = 6
15 = x
Cross multiply
6 × 15 ÷ 2
=45
please help me with these problems I will give brainlist
Answers
Step-by-step explanation:
Slope intercept form of a line is
y = mx + b where m = slope b = intercept
1) y = 2x + 4
3) y = -3/4 x + 0 = - 3/4 x
I think you can see how to do the other two now......
can someone please help me
Answers
Answer: 60
Step-by-step explanation: all you have to do is add the sides and the two faces together, then add those results together. Boom. You have the answer.
Questions 1 and 4
Please help ASAP bc it is due tmr
Answers
Answer: explanation
Step-by-step explanation:
I am unsure about number 1, but for number 4, you have to fund the unit rate.
Answer:
Answer for Number 1: 54 1/2
Answer for Number 4: $2.36
Step-by-step explanation:
Explanation for number 1:
1. length x width = area right? So area divided by length = width!
159 3/8 divided by 18 3/4 = 8 1/2
2. width + width + length + length = perimeter right? Now you know the
width, you can do...
8 1/2 + 8 1/2 + 18 3/4 + 18 3/4 = 54 1/2
Explanation for number 4:
1. You know that 4 cup = 1 quart right?
9.44 = 1 quart
2. So you divide it:
9.44 / 4 = $2.36
Pls answer this for me
Answers
In total, there are 100 blocks. There are 4 boxes.
100/4 = 25 therefore B would work.
D would also work as 41-16=25 and 9+16 is also 25, meaning boxes C and D would be equal. Boxes A and B would also be equal as 32-7=25 and 18+7=25.
A would NOT work as 41-21 is equal to 20, meaning box C would be lacking 5 blocks. C would NOT work as whilst A and B would be equal, C and D would not be. E would also NOT work as nothing would be equal at all.
Can you please help?
Answers
Answer:
30.68 cm²
Step-by-step explanation:
Area of the shaded region
= Area of rectangle - Area of semicircle
Given,
Height (h) = 4.5 cm
Base (b) = 9 cm
Diameter (d) = 5 cm
Formula
Area of the rectangle = bh
Area of the rectangle
= 9 x 4.5
= 40.5 cm²
Formula
Radius (r) = d/2
r = 5/2
r = 2.5 cm
Formula
Area of the semicircle = πr²/2
Note
The value of π is 3.14
Area of the semicirlce
= (3.14 x 2.5²)/2
= (3.14 x 2.5 x 2.5)/2
= 19.625/2
= 9.8125 cm²
Area of the shaded region
= Area of rectangle - Area of semicircle
= 40.5 - 9.8125
= 30.6875 cm²
~ 30.68 cm² approximately
Solve Using the Quadratic Formula
5x²-20x+20=0
Answers
Give the measure of the angle that is complementary to the given angle. (Example 1)
Answers
Answer:
45
70
36
52
20
130
Step-by-step explanation:
complementary means it adds up to 90 degrees.
subtract that angle from 90 to get the complementary angle
supplementary angles add up to 180 degrees
subtract that angle from 180 to get the supplementary angle
Answer:
1) 45
2) 60
3) 36
4) 52
5) 20
6) 130
Step-by-step explanation:
In the first 3 questions, it's asking us for a complementary angle to the given angle. A complementary angle is when 2 angles add up to 90 degrees. So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45. Continue to subtract from 90 for the next 2 problems.
In questions 4-6, we are asked to find an angle that is supplementary. A supplementary angle is when 2 angles add up to 180 degrees. We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees. Continue subtracting from 180 for the next 2 problems.
Hope this helps! :)
YALL! WHAT IS THE ANSWER?! HELP ASAP!
q:
choose the different ways that a graph can be misleading (select all that apply)
a:
1- the y-axis starts at zero and uses consistent intervals
2- different bar heights are used on the same graph
3- the y-axis doesn't start at zero
4- the intervals on the y-axis are too large
5- different bar widths are used on the same graph
6- the y-axis starts at zero but has different intervals
Answers
Answer:
Step-by-step explanation:
6-The y -axis starts at zero but has different intervals.
5- Different bar widths are used on the same graph.
3- The y -axis doesn't start at zero.
HELPPPPPPPPP LOOK AT THE PICTURE!!
NO WRONG ANSWERS
Answers
Answer:
3/16
Step-by-step explanation:
There are 4 possible outcomes: 2, 3, 4, 5
There are 3 outcomes that are a number greater than 2: 3, 4, 5
There is 1 outcome that is a number less than 3: 2
p(greater than 2) = 3/4
p(less than 3) = 1/4
p(greater than 2 followed by less than 3) = 3/4 × 1/4 = 3/16
Which answer choice best represents 50/15
?
Answers
Answer:
3 1/3
Step-by-step explanation:
See attachment below
Answer:
Option (A) 3 1/3
Step-by-step explanation:
Let’s solve the improper fraction into a mixed fraction.
The simplified fraction will get a remainder but we I’ll not solve the remainder.
50/15
Quotient = 3
Remainder = 5
Fraction = 3 5/15
= 3 1/3
Hope my answer helps you ✌️
Mark BRAINLIEST
I NEED HELP ASAP!!!!!!
Answers
Answer:
23. y intercept= -7 slope = 1/2
24. y-intercept = 4 slope = -1/3
Step-by-step explanation:
y=mx+b
y= slope x + y-intercept