A right rectangular prism is shown. The base rectangle has side lengths of 10 centimeters and 3 centimeters. The height of the prism is 8 centimeters. What is the volume of the right rectangular prism? 21 cm3 42 cm3 120 cm3 240 cm3
Answers
Answer:
240
Step-by-step explanation:
10 x 3 x 8 = 240
so the volume is 240
The volume of the right rectangular prism is 240 cubic cm option (D) 240 cubic cm is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
The missing figure is attached in the picture:
Please refer to the picture.
We have:
A right rectangular prism is shown. The base rectangle has side lengths of 10 centimeters and 3 centimeters.
The length L = 10 cm
The width W = 3 cm
The hieght H = 8 cm
As we know the volume of the right rectangular prism is given by:
= L×W×H
= 10×3×8
= 240 cubic cm
Thus, the volume of the right rectangular prism is 240 cubic cm option (D) 240 cubic cm is correct.
Learn more about the rectangular prism here:
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Related Questions
If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k
Answers
Answer:
roots: 1 and 3
k = 3
Step-by-step explanation:
2 roots: p and p+2
(x-p) (x-p-2) = x² - 4x + k
x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k
-2 (p+1) = -4
p+1 = 2
p = 1 ... root 1
p' = 1+2 = 3 ... root 2
k = p² + 2p = 3
check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k
Can someone help me with my homework, please?
Answers
Answer:
6 is 45° 1 is 45° x=10 hope this helps
Answer:
1) 45. Since it is congruent/corresponding to angle 7, which is 45 degrees.
2) 135. Because a straight line is 180 degrees, I substracted 45 from 180, getting 135 degrees, the measure of angle 1.
3) x = 20. Look at the work below.
Step-by-step explanation:
180 - 45 = 135
____________________________________________________________
5x + 35 = 135
-35 -35
5x = 100
divide by 5
x = 20
Zoom in on the photo:)
True or False? When you are dividing 2 numbers, you have to check to see
if there is a decimal in the divisor. If there is a decimal in the divisor, you
have to multiply that number by a power of ten to move the decimal to the
right. You have to move the decimal the same number of times to the right
in the dividend too. Then you can divide your numbers.
Answers
Answer:
true, have a great day and i hope that helped :)
What method of solving a quadratic equation is shown here? A set of expressions shows the solution of the quadratic equation shown on line 1. Line 2 shows an equivalent expression of two factors. Line 3 show two separate equations with each factor set equal to zero. Line four show two solutions for the value of x. A. Quadratic formula B. Factoring C. Grouping
Answers
Answer:
Factoring
Step-by-step explanation:
When we are solving a quadratic equation by the factorization method, each factor is set as being equal to zero.
The solution of each bracket of factors gives the root of the quadratic equation.
For example;
x2 + 16 = 10x
We now have;
x2 - 10x + 16 = 0
x2 - 8x - 2x + 16 = 0
x(x - 8) -2(x - 8) = 0
(x-2) (x-8) = 0
(x-2) = 0
Then x = 2
Or
(x-8) = 0
x = 8
Hence;
x = 2 or x= 8
A rectangular prism has a width of x cm. Its length is 3 cm more than its width, and its height is 4 cm more than its length. Write an algebraic expression, in simplified form, for the volume of the prism.
Answers
Answer:
Step-by-step explanation:
Width: x
Length: x + 3
Height: x + 3 + 4 = x + 7
Volume of prism = area of cross section x length
Area of cross section = width x height = x ( x + 7 ) = x² + 7x
Volume = (x + 4) x (x² + 7x)
= x³ + 7x² + 4x² + 28x
= x³ + 11x² + 28x
The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].
What is volume?Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.
How to calculate volume?We know that volume of rectangular prism is L*B*H.
We have been given that width is x cm.
According to question length will be x+3,
Height will be x+3+4
=x+7
Volume will be =x(x+3)(x+7)
Multiply the expressions,
=x([tex]x^{2}[/tex]+3x+7x+21)
=x([tex]x^{2}[/tex]+10x+21)
=[tex]x^{3} +10x^{2} +21x[/tex]
Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].
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Jozy throws a stone off of a bridge into a river. The function fff models the stone's height (in meters) above the water as a function of time (in seconds) after Jozy throws it. Plot the point on the graph of fff that corresponds to the height above the water from which Jozy threw the stone.
Answers
Answer: it’s 25 from the height line
Step-by-step explanation:
Answer:
0,25
Step-by-step explanation:
slope is 1/2 and a point is (4, -5) solve for b
Y=mx+b
Answers
Answer:
y=1/2x-7
Step-by-step explanation:
Answer:
-5=1/2(4)+b
-5=2+b
-7=b
Hope this helped!
3x 3x 15 Perimeter of triangle: If the perimeter of the triangle is 90, what is the value of x? X =
Answers
9x=75
x=8.3
hope this helps!! :)
If the perimeter of the triangle is 90. Then the value of the variable x will be12.5.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.
The dimension of the triangle are 3x, 3x, and 15. If the perimeter of the triangle is 90. Then the equation is given as,
3x + 3x + 15 = 90
6x = 90 - 15
6x = 85
x = 12.5
The value of the variable x will be12.5.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Find the radius of a circle which has a sector area of 9 pi whose central angle is 90 degrees.
Answers
Answer:360/90 = 4
Total area = 4 times that of the sector.
Step-by-step explanation:
A 90 deg sector has 1/4 the area of the circle.
Total circle area = 4*9pi = 36pi
Answer:
The area is A= 3/2π
Step-by-step explanation:
The area of whole circle is:
A
c
=
π
×
r
2
=
9
π
The central angle
60
o
is
1
6
of a full angle, so the area of the sector is:
A
s
=
1
6
A
c
=
1
6
×
9
π
=
9
6
π
=
3
2
π
Complete the equation to show how to find the sum of 7/10 and 20/100. Write your answers in the boxes. HALP MEH PLS
Answers
Answer:
9/10
Step-by-step explanation:
To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.
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Answers
Answer:
Carlos i think because he got menus faster then Melissa
Step-by-step explanation:
A good estimate of the age of the Earth is 4.54 × 10 9 years. What is this number written in standard form?
Answers
a student finshed 8 of her quiz problems in class. if the ratio of problem she finished to problems she still had left was 4:1 how many home work problems did she have total
Answers
Answer:
10
Step-by-step explanation:
I can't really explain this well but, when you double 4 you get 8 (which is how many she did), so since you doubled 4 you also have to double 1 which would be 2. Then add 8 and 2 and you get 10
The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A
Answers
Answer:
95°
Step-by-step explanation:
Since both angles are supplementary, they have the same degree.
If angle B = 95°, angle A is also = 95°
−
2
x
+
y
=
−
1
2
x
+
5
y
=
7
Answers
Answer:
I got you the answer is X = 14 and Y = 35
Sam ran several errands and used 7 gallons of gas. There were 5 gallons left in the tank. (Use g as a variable.)
Answers
Answer:
[tex]g= 2[/tex]
Step-by-step explanation:
Given
[tex]Used = 7[/tex]
[tex]Left = 5[/tex]
Required
Determine the additional gallons used (g)
This is calculated as:
[tex]Left+ g= Used[/tex]
So, we have:
[tex]5 + g = 7[/tex]
Make g the subject
[tex]g = 7 - 5[/tex]
[tex]g= 2[/tex]
The ratio of teachers to students at Pikeville College is 1: 20. If there are 3,000 students at the college,
how many teachers are there?
Answers
Find (-3/7) divided (-1 1/14)
Answers
Answer:
2/5
Step-by-step explanation:
first, we convert the mixed fractions to improper fractions,
[tex]-1\frac{1}{14}=\frac{15}{14}[/tex]
so then we find what [tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex]
[tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex] = [tex]-\frac{3}{7} * -\frac{14}{15}[/tex]
and that equals [tex]\frac{3*14}{7*15}[/tex] , which equals [tex]\frac{42}{105}[/tex]. We can simplify that to 2/5
10 pounds of onions cost $100 how many pounds of onions can get with $150
Answers
Answer:
15
Step-by-step explanation:
$100 / 10 pounds = $10 / pound
$150 / 10 dollars = 15 pounds of onions
Are these proportional? And I need to show work sooo for example on the first question we did in class we wrote down
-3/1
-6/2=-3/1
-9/3=3/1
I hope I’m not asking for too much but I want to start off my trimester strongly.
Answers
Answer:
Step-by-step explanation:
If y is proportional to x,
y ∝ x
y = kx
k = [tex]\frac{y}{x}[/tex]
Here, k = Proportionality constant
For y = -8 and x = -4,
k = [tex]\frac{-8}{-4}[/tex]
k = 2
For y = -4 and x = -2
k = [tex]\frac{-4}{-2}[/tex]
k = 2
For all values of x and y proportionality constant = 2.
For x = 0 and y = 0,
If we graph a line passing through these points, the line will pass through the origin (No y-intercept).
And we know that any line passing through the origin represents the proportional relation between x and y variables.
Therefore, given table represents the proportional relation.
A four-sided figure has 4 congruent sides,
Which plane figure best fits this description?
A)kite
B)quadrilateral
C)rectangle
D)Thombus
E)square
Answers
Answer:
Step-by-step explanation:
D Thombus
Jerry's Catering provided food and drinks for 54 guests at the New
Year's eve party. Jerry charges $25 per for food and $6 per drink for
each guest. How much money did Jerry's Catering make for this
party?
Answers
2(x + 10) = 26
Solve for x
Answers
Answer:
3
Step-by-step explanation:
Look at this graph what is the y- intercept?
Answers
A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 2000 seats. The students filled 320 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
16.8%
Step-by-step explanation:
Answer:
16 percent of the seats (16%)
Step-by-step explanation:
There are 2000 seats in total but 320 of them are being taken by the students so 320seats out of or divided by the total 2000. 320/2000 is 0.16 and 0.16 as a percent is 16%
Please answer asap
no work needed :)
Answers
Answer:
2x+12 simplified is x+4
Find the simple interest: Principal: $1750 Interest Rate: 2% Time: 9 years
Answers
Answer:
2,065.00
Step-by-step explanation:
Answer:
315
Step-by-step explanation:
To find simple interest you multiply all your numbers together.
But before you do anything you need to convert your interest rate into a decimal (you move the decimal two times to the left or divide it by 100)
Therefore , you will multiply 1750 * .02 * 9
which equals 315
Solve the equation for d.
0.2d+3.14=5.06
What is the value of d that correctly solves the equation?
Enter your answer as a number with one decimal place, like this: 4.2
Do not round your answer.
Answers
Answer:
d=9.6
Step-by-step explanation:
0.2d+3.14=5.06
- 3.14
_________________
1.92
0.2d=1.92
1.92/0.2= 9.6
pls help me 10 points
Answers
Answer: Approximately 20 miles per gallon
Step-by-step explanation:
The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.
How would you complete this table also it has to show the work
Answers
Answer:
cweds
Step-by-step explanation: