What is the surface area of the rectangular prism below?
A. 823 u
B. 740
C. 700
D. 1260
Answers
Answer:
C) 700 unit².
Step-by-step explanation:
Given : A rectangular prism .
To find : What is the surface area of the rectangular prism below.
Solution : We have given that a rectangular prism with
Length = 14 units,
Width = 12 units
Height = 7 units.
Surface area of rectangular prism = [tex]2(length* width\ +\ height*width\ +\ height*length})[/tex].
Plugging the values
Surface area of rectangular prism = 2 ( 14* 12 + 7 *12 + 7 *14)
Surface area of rectangular prism = 2 ( 168 + 84 + 98)
Surface area of rectangular prism = 2 ( 350).
Surface area of rectangular prism = 700 unit².
Therefore, C) 700 unit².
Related Questions
What is the 32nd term of the arithmetic sequence where a1 = −33 and a9 = −121? −396 −385 −374 −363
Answers
The formula to find the general term of an arithmetic sequence is,
[tex] a_{n} =a_{1} +(n-1)d [/tex]
Where [tex] a_{n} [/tex]= nth term and
[tex] a_{1} [/tex] = First term.
Given, a9 = −121. Therefore, we can set up an equation as following:
[tex] -33+(9-1)d = -121 [/tex] Since, a1 = -33
- 33 + 8d = -121
-33 + 8d + 33 = -121 + 33 Add 33 to each sides of the equation.
8d = -88.
[tex] \frac{8d}{8} =\frac{-88}{8} [/tex] Divide each sides by 8.
So, d = - 11.
Now to find the 32nd terms, plug in n = 32, a1 = -33 and d = -11 in the above formula. So,
[tex] a_{32} = -33 +(32 -1) (-11) [/tex]
= -33 + 31 ( -11)
= - 33 - 341
= -374
So, 32nd term = - 374.
Hope this helps you!
To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________.
Answers
1. The United States System using miles
2. The Metric System using kilometers
However, the best answer to the question is MILES, because you would use miles to find the distance when traveling.
A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?
Answers
[tex] |\Omega|=12\cdot11=132\\
|A|=4\cdot2=8\\\\
P(A)=\dfrac{8}{132}=\dfrac{2}{33}\approx6\% [/tex]
Answer:
2/33
Step-by-step explanation:
Gloria Trench checked her gas mileage and found that she had used 16.6 gal of gas to travel 372 mi. At this rate, how many gallons will she use to travel from San Francisco to Washington, D.C., a distance of 2,850?
Answers
Using the rate of miles per gallon for Gloria's car, we calculated that she will need approximately 127.2 gallons of gas to travel from San Francisco to Washington, D.C.
Explanation:To solve this problem, we'll use the principle of ratios.
First, we find the rate of miles per gallon for Gloria's car by dividing the distance travelled by the gallons used:
372 miles ÷ 16.6 gallons = 22.4 miles per gallon
With this information, we can calculate how many gallons Gloria will need to travel from San Francisco to Washington D.C., which is a distance of 2850 miles:
2850 miles ÷ 22.4 miles per gallon = 127.2 gallons
So, Gloria will use approximately 127.2 gallons of gas to travel from San Francisco to Washington, D.C., at her current rate.
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In what quadrant does point R lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant III
D.
Quadrant IV
Answers
Answer:
Option: D
Point R lie on the Quadrant IV (i.e. quadrant fourth)
Step-by-step explanation:
Clearly from the given graph the point R lie on the fourth quadrant as the fourth quadrant is defined as the region such that any point on it with the given coordinates ; the x-value of any point is positive and y-value of any point is negative.
The coordinates of Point R from the given Graph has coordinates (5,-5).
Hence point R lie on the fourth quadrant.
Hence option D is correct.
Madeline uses fewer than 5 coins to pay 60 cents. Draw coins to show one way she could pay 60 cents.
Answers
Jose decided to walk the 9 3/10 mi from his house to the beach. in the first hour he walked 3 4/5 mi. in the second hour he walked 2 9/10 mi. how much farther did he have to go?
Answers
8/10 + 9/10 = 1 7/10
3+2+1 7/10 = 6 7/10
9 3/10 - 6 7/10 = 2 6/10
9 3/10= 93/10
3 4/5= 19/5
2 9/10= 29/10
Ok so 19/5 + 29/10 is 67/10
67/10 - 93/10= 13/5.
13/5 or 2 3/5 is the answer, good luck, hope this helped, and STAY SMART! =p
a) Wilma used to make 10.50 per hour, but then she got an 8% raise. How much does Wilma make per hour now?
1) $11.00
2) $11.14
3) $11.34
4) $11.54
b) You went to the store and bought some DVDs. The cost of the DVDs was 45.80. The sales tax is 5%. How much is your total cost?
1) $48.09
2) $48.19
3) $48.29
4) $48.39
c) What is 2/3 of 30?
1) 10
2) 15
3) 20
4) 25
d) Arrange in order from least to greatest: 1/2, 3/4, 5/7, 13/14
1) 1/2 < 3/4 < 5/7 < 13/14
2) 1/2 < 5/7 < 3/4 < 13/14
3) 3/4 < 5/7 < 13/14 < 1/2
4) 13/14 < 1/2 < 3/4 < 5/7
e) Which property is demonstrated by this equation? 3(1 + 2) = (1 + 2)3
1) Commutative property
2) Associative property
3) Distributive property
f) Which property is demonstrated by this equation? 2 + 3 = 3 + 2
1) Commutative property
2) Associative property
3) Distributive property
g) Which property is demonstrated by this equation? 3 • (1 • 2) = (3 • 1) • 2
1) Commutative property
2) Associative property
3) Distributive property
please answer fast
Answers
Select the graph of the solution. Click until the correct graph appears.
|x| = 3
Answers
The bars around x stand for absolute value, which is defined as the distance a number is from 0. We want to know what number or numbers is/are 3 units away from 0 on a number line; the only choices are 3 or -3.
This means we must plot points at -3 and 3. They must be solid points, since these numbers are included in the solution (they are, in fact, the only ones of the solution).
Answer:
First picture
Step-by-step explanation
the graph with the open circle on -3 and 3 and pointing to the opposite to each so -3 the arrow is pointing this way <----- for 3 the arrow is pointing this way ------->
Two lines intersect at a point, forming ∠1 , ∠2 , ∠3 , and ∠4 .
∠1 and ∠2 are supplementary angles.
∠2 and ∠4 are vertical angles.
m∠1=120°
What is the measure of ∠4 ?
a.30°
b.60°
c.90°
d.120°
please help i will mark brainliest
Answers
________________________________________
Because at whatever location, ∠2 and ∠4 are vertical angles;
and all vertical angles have equal measurements.
Given: m∠1 is 120°, and ∠1 is supplementary to ∠2 ;
then m∠1 + m∠2 = 180° .
So, m∠2 = (180 - 120)° = 60° .
As aforementioned:
m∠4 = m∠2 = 60° ; which is: Answer choice: [B]: " 60° " .
___________________________________________________
Answer:
" 60° " .
Step-by-step explanation:
Choosing a graph to fit a narrative
Answers
Please help use the diagram of the right triangle above
Answers
TanB = b / a
We clear the value of b:
b = a * TanB
Substituting the values we have:
b = 10 * Tan (60)
b = 17.32 m
Answer:
b = 17.32 m
option a.
I WILL GIVE BRAINLEST. Use the irregular polygon below. show all work.
a. find the perimeter.
b. find the area.
Answers
Rebecca gives gifts to 12 employees. Each gift is in a box 12 inches by 10 niches by 3 inches. How much wrapping paper does Rebecca need to completely cover the boxes?
A. 360in squared
B. 1,720in squared
c. 4,464in squared
D. 14,400 in squared
Giving brainiest to the most accurate answer. (please include your work)
Answers
Answer:
C is the answer. C= 4,464in squared.
Step-by-step explanation:
All you would have to do is multiply all the numbers together and then choose your answer
Rebecca needs 4,464 square inches of wrapping paper to completely cover the boxes.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Each box has six sides, and the dimensions of each side are:
12 x 10, 12 x 10, 12 x 3, 12 x 3, 10 x 3, and 10 x 3 inches.
The total surface area of each box is:
2(12 x 10) + 2(12 x 3) + 2(10 x 3) = 240 + 72 + 60
= 372 square inches.
Since there are 12 boxes, the total surface area of all the boxes is:
= 12 x 372
= 4,464 square inches.
Therefore,
Rebecca needs 4,464 square inches of wrapping paper to completely cover the boxes.
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Match the pre-image, and its clockwise rotation, with the coordinates of its image. 1. (5, 2); 90° (-2, -5) 2. (5, 2); 180° (2, -5) 3. (5, 2); 270° (-2, 5) 4. (-5, 2); 90° (5, 2) 5. (-5, 2); 180° (-5, -2) 6. (-5, 2); 270° (2, 5) 7. (-2, 5); 90° (-5, 2) 8. (5, -2); 180° (5, -2)
Answers
2. (-5,-2)
3. (-2,5)
4. (2,5)
5. (5,-2)
6. (-2,-5)
7. (5,2)
8. (-5,2)
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Answer:
(2,5) = (-5,2); 90°
(2,-5) = (5,2); 90°
(-2,-5) = (-5,2); 270°
(5,-2) = (-5,2); 180°
(-2,5) = (5,2); 270°
(5,2) = (-2,5); 90°
(-5,2) = (5,-2); 180°
(-5,-2) = (5,2); 180°
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Hope this helps!
∵∅Levi∅∵
∵ФωФ∵
Simplify 4 sqrt 6 / sqrt 30 by rationalizing the denominator. Please show steps.
Answers
so it basically looks like
4√6
¯¯
√30
?
then you multiply both sides by √30
4√6 x √30 = 4√180 which simplified = 24√5
√30 x √30 just equals 30
so the answer is
24(√30) / 30
simplified = 4(√5) / 5
Hope this helps!!
~Girlygir101~
24√5/√30 is the simplified form of the expression 4√6/√30
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4√6/√30
We have to rationalizing the denominator.
Multiply numerator and denominator by √30
4√6/√30 × √30/√30
4√6×30/30
4√180/30
4.6√5/√30
24√5/√30
Hence, 24√5/√30 is the simplified form of the expression 4√6/√30
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Ken has 6 different colors of marbles he has 9 marbles of each color how many marbles does Ken have in all
Answers
Final answer:
Ken has a total of 54 marbles in all.
Explanation:
To calculate the total number of marbles Ken has, we need to multiply the number of colors of marbles by the number of marbles of each color. Ken has 6 different colors of marbles and 9 marbles of each color. To find the total, we perform the multiplication:
6 colors imes 9 marbles per color = 54 marbles.
Hence, Ken has a total of 54 marbles in all.
Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in hour?
Answers
Samantha can pot 8 plants in one hour.
To calculate how many plants Samantha can pot in one hour, we need to determine the rate at which she pots plants. She currently pots 12 plants in 1 1/2 hours, which is equal to 1.5 hours.
To find the rate, we divide the number of plants by the number of hours:
12 plants /1.5 hours=8 plants per hour
Therefore, Samantha can pot 8 plants in one hour.
All colors of light are bent the same amount as they move from one material to another.
A) Always true.
B) Always false.
C) True, if you change bent to absorbed.
D) False, each color bends a different amount.
Answers
LM=7, LN=10, MN=5, What can you conclude about the angle measures
Answers
.. ∠L ≈ 27.66°
.. ∠M ≈ 111.80°
.. ∠N ≈ 40.54°
The smallest angle will be opposite the shortest side; the largest angle will be opposite the longest side.
Given the lengths stated, we conclude that triangle LNM is a right triangle. Angle LNM would be the right angle, and angles NML and NLM can be calculated with trigonometry if necessary.
Explanation:Given the lengths of triangle LNM with LM = 7, LN = 10, and MN = 5, we can infer that this triangle is a right triangle. This is concluded through the use of the Pythagorean theorem, which defines that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. Specifically, in this case, we can observe that 10² (LN) equals to 7² (LM) + 5² (MN), because 100 equals 49 + 25. Consequently, since LN is the hypotenuse, angle LNM is the right angle, and angles NML and NLM can be found using trigonometric functions if needed.
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How to do I don't know how to do can u help me pls.
Thanks you
Answers
So, we have 2185 student in Rose.
Lily School has 307 more students than Rose, so Lily has,
2185 + 307 = 2492 Students in Lily School.
Since question a. is asking you to round off to the nearest ten, your answer to part a is 2490.
For part b. add 2185 and 2490.
2185 + 2490 = 4675 students.
The questions want you to round to the nearest hundredth, so,
4700 is the answer to part b.
For simplicity, let L and R represent the numbers of students in Lily school and Rose school, respectively. The first sentence tells you
.. R = 2185
The second sentence tells you
.. R = L - 307
a) This question asks you the value of L. Use the given information to find it.
.. 2185 = L -307
.. 2185 +307 = L
.. 2492 = L
You are asked to round this number to the nearest 10. This means you look at the 1s digit (2) and decide if it is 5 or more (it is not). If it is, you add 1 to the tens digit (here, you don't) and then report the number with the 1s digit made zero:
.. There are 2490 pupils in Lily school.
b) This question asks you the total number in both schools. That will be
.. L +R = 2492 +2185 = 4677
You are asked to round this number to the nearest 100. This means you look at the 10s digit (7) and decide if it is 5 or more (it is). If it is, you add 1 to the hundreds digit (here, you do) and then report the number with the 10s and 1s digits made zero:
.. There are 4700 pupils total in the two schools.
Laura’s cell phone service costs $65 per month, plus an additional $0.10 per text message sent. The table below shows the cost for Zach’s cell phone service based on the number of texts messages he sends. How much cheaper is Zach’s cell phone service than Laura’s when no text messages are sent?
Answers
When no text messages are sent, Zach's cell phone service is $55 cheaper than Laura's each month.
Explanation:Laura's cell phone service costs $65 per month regardless of how many text messages she sends. On the other hand, Zach's cell phone service cost is represented by the variable equation $10 = $2× QRT + $.05 × QPC. However, since no text messages are sent in this scenario, the number of text messages (QPC) is 0. Therefore, all the terms in the equation that involve QPC becomes zero. Hence, Zach's cell phone service costs $10 per month when no text messages are sent. So if we compare Laura's cell phone costs to Zach's without sending any text messages, Zach is paying $65 - $10 = $55 less than Laura each month.
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Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between which 2 whole numbers does the distance she ran each hour lie? Draw a visual model to find the distance she ran each hour.
You don’t have to do the last part but it’d be great if you did
Answers
The distance she ran each hour is between 8 and 9
How to determine the whole numbers?The distance is given as:
Distance = 25 km
The time is given as:
Time = 3 hours
The speed is then calculated as:
Speed = Distance/Time
So, we have:
Speed = 25km/3 hours
Divide
Speed = 8.33 km/hr
8.33 is between 8 and 9
Hence, the distance she ran each hour is between 8 and 9
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A 15 oz can of peaches costs $1.99 and a 24 oz can of peaches cost $2.55. How much is the price per ounce of the 15 oz can of peaches
Answers
=$1.99 ÷ 15 ounces
=$0.13
The price per ounce of the 15 ounce can is $0.13.
Hope this helps! :)
Errol uses 1/3 can of wet dog food for his dog money each day how many dog servings will he get from five cans of dog food
Answers
Hope this helps!
♤MidnightQueen
What is the value of x? (The shape is a rectangle with the top side labelled 40 and the bottom side labelled 5x + 10)
Enter your answer in the box.
**I got 26)
x = 26
Answers
5x+10=40
subtract 10 on both sides
5x=30
divide on both sides
5x/5=30/5
x=6
how do you solve twelve less than the quotient of a number and 7 is -2
Answers
Remark
One of the things you need to do is learn to read phrase by phrase.
What is the quotient of a number and 7? That meas you have a number, x, and it is divided by 7. What you do that the answer you get is the quotient.
x/7 is what you know so for. Now the first part says you take 12 away from that.
x/7 - 12 is what you have after doing that.
The result you get is - 2
x/7 - 12 = - 2 Add 12 to both sides
x/7 - 12 + 12 = - 2 + 12
x/7 = 10 Now multiply by 7
x = 10 *7
x = 70 <<< Answer the number is 70
A cylinder has a volume of 136 cubic centimeters. What is the volume of a cone with the same height and the same diameter
Answers
V_cone = 1/3 pi r^2 h. If that's the case the only difference is that the Cone's volume is 1/3 that of the cylinder
V_cone = 1/3 V_cylinder
V_cone = 1/3 136 cubic cm.
V_cone = 45.33 cubic cm.
What is the quotient of the complex number 4-3i divided by its conjugate ?
Answers
Answer:
Quotient is[tex]\frac{7-24i}{25}[/tex]
Step-by-step explanation:
Given is a complex number as 4-3i
We have to find the quotient when divided by its conjugate
Its conjugate is
[tex]4+3i[/tex]
When divided we have
[tex]\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}[/tex]
(to simplify the above)
=[tex]\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}[/tex]
Quotient is [tex]\frac{7-24i}{25}[/tex]
Answer:
7/25 - 24/25i
Step-by-step explanation:
Alcia received a $75 gift certificate for her birthday. She went to a boutique to buy some T- shirts at $7 each and some socks for $2.50 a pair. If T represents the number of T-Shirts, and S represents the number of pairs of socks she bought, write an inequality that would determine the number of T-shirts and pairs of socks she could buy. HURRY PLEASE
Answers
T represents the number of T-Shirts
S represents the number of pairs of socks she bought
Each T-shirt cost $7, so 'T' T-Shirts will cost 7T
Each Pairs of socks cost $2.5, so 'S' pair of socks cost 2.5S
[tex] Total \; cost\; =\; T-shirts \; cost \; +\; Pair \; of \; socks\; cost \\ \\ Total \; Cost \; =\; 7T+2.5S\\ \\ [/tex]
Total cost should be less than or equal to 75 dollars.
Conclusion:
The inequality that would determine the number of T-shirts and pairs of socks she could buy is given below:
[tex] 7T+2.5S\leq 75 [/tex]