Evaluate the expression. 11. [tex] 3(1+8)^{2} [/tex]
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![Evaluate The Expression. 11. [tex] 3(1+8)^{2} [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/BVVeuE2eA8fSYnvujBnw0GUTBVGs54Yi.png)
Related Questions
Find the surface area of the triangular prism (above) using its net (below).
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Formula for (Area of Rectangle)= length x width
Formula for (Area of Triangle)= 1/2 base x height
Now, we have the formulas. Let’s get started!
(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.
Triangles~ the base is 6 and the height is 4.
1/2 (6 x 4) = 12
However, there’s two triangles. (of the same size)
12 x 2 = 24
Rectangles 1 and 2~ the length is 5 and the width is 7
5 x 7 = 35
However, there’s two rectangles. (of the same size)
35 x 2 = 70
Rectangle 3~ the length is 6 and the width is 7
6 x 7 = 42
There’s only one of these.
Now we add all the areas of the shapes together!
24 + 70 + 42 = 136
The surface area is 136.
16. Consider any eight points such that no three are collinear.
How many triangles are determined?
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An account earns 3% yearly simple interest. How much interest will you earn in 2 years if you put $820 in the account
A. $869.94
B. $49.94
C. $869.20
D. $49.20
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Answer: 820*2*0.03=$49.20
Step-by-step explanation: Principle*rate*time=answer
Draw as many different triangles as possible that have two sides of length 4 cm and a 45° angle. Clearly mark the side lengths and angles given.
(points per unique attached triangle illustration that is fitting this criteria).
Please help!
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Answer:
this is a 45 angle in the picture i hope this helps
Step-by-step explanation:
Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data.
Donations (in dollars): 10, 30, 5, 15, 50, 25, 5, 20, 15, 35, 10, 30, 20
Answers
Answer:
least value is 5, median is 20, q1 is 10, q3 is 30, and the greatest value is 50.
Step-by-step explanation:
the least and greatest value is easy, just find the least and greatest numbers. median is in the very middle, so lay out the numbers least to greatest and find the middle. for q1 and q3, find the middle of the least value to median, and median to greatest value. hope this helps
Must answer correctly don't put something random for points or getting reported
You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangle gular prism. Use the diagram to find the volume of your new backpack, then explain how u calculated the answer. Use the pictures with the formulas to help also use the sentence starters.
Sentence Starters:
The volume of the large rectangular prism (the bottom part of the backpack) is __inᶾ.
The volume of the pocket, which is also a rectangular prism is _____ inᶾ.
The volume of the half cylinder, which is the top curve of the backpack, is _____ inᶾ.
When you add all three of these together, you get the total volume of _____ inᶾ.
Hint: Find the volume of each shape; there are 3 of them; two rectangular prisms and half of a cylinder, and then add all 3 of them together. For the cylinder, you only need half, so find the volume of the whole cylinder then divide it by 2 for half. )
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Answer:
Main part of backpack V = 840 inᶾ
Front pocket of backpack V = 64 inᶾ
Top curve of the backpack V = 395.8406744 inᶾ
Total V = 1299.840674 inᶾ
Step-by-step explanation:
1.
As we know, the formula for the volume of a rectangular prism is width x height x length (V = whl). We will use this formula to find the volume of the large rectangular prism (bottom part of the backpack) and the volume of the smaller rectangular prism (the pocket). As for the cylinder, we know the formula for the volume of a cylindrical prism is pi x radius squared x height (V = πr^2h). We will use this formula to find the volume of the half cylinder (top curve of the backpack).
2.
For the large rectangular prism (main part of the backpack), we are given:
w = 7in
h = 10in
l = 12in
Now let's incorporate our formula for the volume of a rectangular prism into this situation.
V = whl
V = 7 x 10 x 12
V = 840 inᶾ
3.
Now for the smaller rectangular prism (front pocket of backpack), we are given:
w = 2in
h = 4in
l = 8in
Now let's incorporate our formula for the volume of a rectangular prism into this situation.
V = whl
V = 2 x 4 x 8
V = 64 inᶾ
4.
Now to calculate volume for the half cylinder (top curve of the backpack), we must first imagine that this is a full, circular cylinder. We are given:
r = 6in
h (which will be the same as the width of the backpack in this case scenario) = 7in
Now let's incorporate our formula for the volume of a rectangular prism into this situation.
V* = πr^2h
V* = π x 6^2 x 7
V* = 791.6813487 inᶾ (round this number if you must)
Now that we have the volume of a whole cylinder, we can halve it (divide by two) since we only need half of the cylinder.
V = V*/2
V = 791.6813487/2
V = 395.8406744 inᶾ (round this number if you must)
5.
Finally, we can add our volumes together to acquire the volume of the backpack as a whole!
Large rectangular prism (bottom part of the backpack) + Smaller rectangular prism (the pocket) + Half cylinder (top curve of the backpack) = Total Volume (Whole backpack)
Recall that:
Large rectangular prism (bottom part of the backpack) = 840 inᶾ
Smaller rectangular prism (the pocket) = 64 inᶾ
Half cylinder (top curve of the backpack) = 395.8406744 inᶾ
So:
Total Volume (Whole backpack) = 840 inᶾ + 64 inᶾ + 395.8406744 inᶾ
Total Volume (Whole backpack) = 1299.840674 inᶾ (round this number if you must)
Josh paid for 5 pounds of grapes with a $10 bill. He got back $7.50. What was the cost of 1 pound of grapes?
[A] $0.60
[B] $2.50
[C] $5.00
[D] $0.50
Answers
Step-by-step explanation:
5 pounds of grapes $2.5 (10-7.5)
1 pound of grapes = $0.5 (2.5/5)
choice D
Answer:
D, $0.50
Step-by-step explanation:
10 - 7.50 = 2.5
2.5 / 5 = 0.50
Hope this helps :D
Select all the values below that you can find or calculate when given only a dot plot
1.) mean
2.) median
3.) range
4.) IQR
5.) outliers
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Hope it helps
can some one please help
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Men: 22.1
Women: 18
I can conclude that for women the median of these numbers are 16 and so is the mode.
For men the median for the set of numbers is 21.5 and the most common numbers are 19 20 and 24
What is the surface area of the rectangular solid below?
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Answer:
c, I believe. I'm not 100% sure.
664inches squared
Let $z$ be a complex number such that $z^5 = 1$ and $z \neq 1.$ Compute
\[z + \frac{1}{z} + z^2 + \frac{1}{z^2}.\]
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Answer:
The answer is 4
Step-by-step explanation: i did it
3. IN YOUR OWN WORDS How can you find the area of a circle?
Answers
Answer: you can find the area of a circle by multiplying the radius by pi and then squaring it by 2
Step-by-step explanation:
Choose all the fractions that are equivalent to 6/9.
Answers
Since 2 x 3 is six
And 3x3 is 9
It’s because 2x3 is 6 and 3x3 = 9
total = 6/9
hope this helps
Write and solve a proportion to answer the question. (Skills Review Handbook) 21. 70% of what number is 98?
Answers
Answer:
451.61
Step-by-step explanation:
1) Set a linear equaion
[tex] \frac{98}{x} = \frac{21.70}{100} [/tex]
2) Cross multiply
[tex]21.70x = 98 \times 100[/tex]
3) Multiple the right side
[tex]21.70x = 9800[/tex]
4) Divide both side by 21.70
[tex] \frac{21.70x}{21.70} = \frac{9800}{21.70} [/tex]
5) Solve the linear equation
[tex]x = 451.6129032[/tex]
[tex]x≈451.61[/tex]
Then 21.70% of 451.61 is 98
what is 90 divided by 214
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Please help, I'll give brainliest!
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Step-by-step explanation:The given graph is a line graph, represents increasing and decreasing rainfall in six different years.The given graph misleads ,in terms of length, when amount of rainfall 4.6-3.9 is plotted with six different years 2006-2011. When rainfall decreases from 4.5 to 4.4, the decrease , in length of rectangle is less,should be equal, in comparison to when year increases from 2006 to 2007. It must be in the shape of Square.
Part B if instead of line graph, we will draw bar graph ,representing Amount of rainfall(4.5-3.0) on y axis in the month of July, to 6 different years from (2006-2011) on x axis,i think it will be least misleading.
The line plot below shows the heights of players on a basketball team.
A line plot named
Which of the following statements are true? Select all that apply.
A.
There are 9 players on the team.
B.
76 inches is an outlier.
C.
More than half of the players are 79 inches or taller.
D.
3 more players are 84 inches tall than are 81 inches tall.
E.
The difference between the tallest and shortest player is 15 inches.
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the difference between the tallest and shortest player is 15 inches
more than half of the players are 79 inches or taller
PLEASE HELP
Find the value of x
Answers
Answer:
33°.Step-by-step explanation:
We know that:
Angles A and B are 69° and 78°.These angles and angle C add up to 180°.We don't know:
Angle C.So, lets solve 180 - 78 - 69:
180 - 78 - 69= (180 - 78) - 69= 102 - 69= 33.Angle C is 33°.180-69-78=33
PLEASE HELP ASAP!!! The table shows the colors of the cars sold from a dealership over the last month. Based on this information which prediction about next month's car sales is most reasonable?
Answers
Answer:
answer is A cause white cars are cheaper
Step-by-step explanation:
they are cheaper than colored cars
Answer:
I would say c
Step-by-step explanation:
In the chart given when you compare the blue and silver cars, you can notice that the silver cars are twice the amount sold than the blue cars
Find the radius of the circle with the given diameter.
1. 8 inches
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Answer:
The radius of a circle with a dimeter of 1.8 inches is 0.9 inches.
Step-by-step explanation:
To find the radius of a circle from diameter, you divide the diameter by 2.
When we divide 1.8 by 2 we get 0.9.
(❁´◡`❁) does anyone of ya'll know how to find PI π Im really confused (っ °Д °;)っ help me
WILL GIVE 100 POINT AND MARK BRAINLEST☜(ﾟヮﾟ☜)
Answers
Answer:
its 3.14, but if your trying to find the area of a cyrcal, its Pi * radius sqaured
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
ill give brainly
How long would it take to travel 870 miles at the rate of 58 miles per hour?
5 h
10 h
15 h
25 h
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Answer:
15 h
Step-by-step explanation:
miles/miles per hour= hours taken to travel
870miles/58miles per hour= 15 hours
Answer:
C. 15 h
Step-by-step explanation:
Just divide 870 from 58. Really isnt that hard!
Answer the question about "Paper Clips Used
there are 4 questions
please help me!!!!
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Answer:
19. Other
20. 80
21. 125
22. per minor grid line it goes up by 10
Step-by-step explanation:
20 80
21 130
22 10
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
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Help Please!!! Giving 30 points!
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Answer:
1225
Step-by-step explanation:
i just multiplied them together umm yeah...
Answer:
1225
Step-by-step explanation:
can someone help please thank you
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Answer:
The length of a pencil is 4.5 inches. The length of a crayon is 2.1 inches.
Step-by-step explanation:
Let pencils be p
Let crayons be c
6 pencils and 5 crayons are 37.5 inches. This will be:
6p + 5c = 37.5 ........ equation 1
7 pencils and 6 crayons are 44.1 inches. This will be:
7p + 6c = 44.1 ........ equation 2
Multiply equation 1 by 7
Multiply equation 2 by 6
42p + 35c = 262.5 (3)
42p + 36c = 264.6 (4)
Subtract 4 from 3
c = 2.1
Plug the value of c into equation 1
From equation 1
6p + 5c = 37.5
6p + 5(2.1) = 37.5
6p + 10.5 = 37.5
6p = 37.5- 10.5
6p = 27
p = 27/6
p = 4.5
hope this helps
please can i get brainliest
ill give brainly and 10 points
Answers
Answer:
[tex]78 \frac{3}{4}[/tex]
Step-by-step explanation:
[tex]V = 5 * 3 \frac{1}{2} * 4 \frac{1}{2} = 78 \frac{3}{4}[/tex]
Answer:
78 3/4
Step-by-step explanation: 4 1/2 x 5 x 3/12 = 78 3/4
Pls help me I dont understand giving brainliest if correct
Answers
Answer:6
Step-by-step explanation:
Heron's Formula is: area = sqrt(s(s-a)(s-b)(s-c)) and s is the semiperimeter
Putting the side lengths in would be:
s = (a + b + c)/2
area = sqrt(6(6-5)(6-4)(6-3)) = sqrt(6*1*2*3) = 3*sqrt(2)
So the answer is 3*sqrt(2) which is equal to 6
Answer:
6 units²
Step-by-step explanation:
You want the area of the 3-4-5 right triangle.
AreaThe area formula for a triangle is ...
A = 1/2bh
where b represents the "base" and h represents the "height". The height is always measured to the vertex opposite the base, in direction perpendicular to the base.
Right triangleThe perpendicular legs of a right triangle have the necessary relationship for either one to be considered the "base", and the other to be the "height."
Here, that means we can call the side of length 3 units the "base" and the side of length 4 units the "height", or vice versa.
This means the area is ...
A = 1/2(3 units)(4 units) = 6 units²
__
Additional comment
Heron's formula for the area of a triangle based on all three side lengths can be used for this, but is more work than necessary.
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Brainliest AGAIN, lol, help quickly!
Reduce this fraction to the lowest terms.
1 4/12
A.1 1/5
B.1 1/3
C.1 1/4
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Answer:
B
Step-by-step explanation:
divide 4 and 12 by 4 and get 1/3
Hope this helps. Just simplify !
(PLS HELP MY TEACHER NEEDS ME TO PASS THIS!)
which is the solution to the system of equations shown in the graph below?
Answers
Answer:
Its 4, -3
Step-by-step explanation:
Always go in (x,y)
so you will go right first but the number are positive
then it is 4
then the second cross it occuring lower which is negative
then it is -3
so,
:• 4, -3
Answer: -4, -3
Step-by-step explanation:
To find the solution to a systems of equations on a graph, find the area where the 2 lines intersect, (in other context, come together, or share the same points). In this case, they come together at the point -4, -3.
