A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
45 m³
54 m³
69 m³
108 m³
Answers
The volume of this right prism that has a triangular base is equal to 108 cubic meters.
The volume of a right prism.Mathematically, the volume of a right prism is given by this formula:
V = L x W x H
Where:
L is the length.W is the width.H is the height.V is the volume.Given the following data:
Length of base = 6 meters.
Width of base = 4 meters. cm.
Height of prism = 4.5 meters.
Substituting the given parameters into the formula, we have;
V = 6 x 4 x 5
V = 108 cubic meters.
Read more on volume of prism here: brainly.com/question/3867601
Answer: 54 m³
Step-by-step explanation: proof with more answers
Related Questions
Calculate the difference between the average rates of change of Function B and Function A from x=2 to x=4.
Answers
Answer:
-4
Step-by-step explanation:
-8/2=-4
So you do -8-2/4-2, which is the average rate formula.
Make x the subject a(x-a)=a^2
Answers
Answer:
x = 2a
Step-by-step explanation:
a(x - a) = a² ( divide both sides by a )
x - a = a ( add a to both sides )
x = 2a
Answer:
x = 2a
Step-by-step explanation:
Given equation
[tex]\sf a(x-a)=a^2[/tex]
Make x the subject
expand brackets:
[tex]\sf \implies ax-a^2=a^2[/tex]
Add [tex]\sf a^2[/tex] to both sides:
[tex]\sf \implies ax-a^2+a^2=a^2+a^2[/tex]
[tex]\sf \implies ax=2a^2[/tex]
Divide both sides by a:
[tex]\sf \implies \dfrac{ax}{a}=\dfrac{2a^2}{a}[/tex]
[tex]\sf \implies x=2a[/tex]
Final solution
[tex]\sf x=2a[/tex]
Danny has 1.08 pounds of cat food. he uses 0.12 pound of cat food to feed one cat. how many cats can danny feed with the cat food he has?
Answers
Answer:
9
Step-by-step explanation:
1.08 divided by 0.12 equals 9
Scientists were studying snakes by catching, tagging, and releasing 77 snakes. A month later, the scientists come back and catch 11 snakes, of which 7 are tagged. Assuming that the catch is representative, how many snakes are there?
Answers
How many cards are in each pack? There are __ cards in each pack
Answers
Answer:
there are 52 cards in each pack
Answer:
52.
Step-by-step explanation:
A deck of cards have 52 cards.
Jerome is cooking dinner. He needs 8 ounces of broccoli for each person.
Part A: Jerome is not sure how many people will come to dinner. Write an expression with a variable that represents the amount of broccoli Jerome needs for dinner. Identify what the variable represents.
Part B: If Jerome has 32 ounces of broccoli, how many people can he feed? Create an equation and show all work to solve it.
Answers
Answer:
Part A: X·8=Y
X represents the amount of people. Multiply X by 8 to see how many (Y) ounces of broccoli will be needed.
4·8=32
Jerome would be able to feed 4 people with 32 ounces of broccoli if each person is to get 8 ounces.
Step-by-step explanation:
Alex just started college and has taken a 10-year subsidized loan out for $5,500 with 6.5% deferred interest. He plans on graduating in 4 years. Determine the money payment alex will pay upon graduation.
Answers
Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.
How can the amount Alex will pay be found?The number of years for the loan = 10-year
The loan amount = $5,500
The number of years for the interest = 6 years
The monthly payment formula is presented as follows;
[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]
Which gives;
[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]
The amount Alex will pay upon graduation is $81.67 each monthLearn more about monthly payment on loan formula;
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What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π
Answers
Area of a circle = pi x r^2
Area of the circle = 4^2 x pi = 16pi
3/4 of the circle is shaded
area of shaded portion = 3/4 x 16pi = 12pi
Answer 12 pi
Answer:
b
Step-by-step explanation:
4 of the nonshaded areas =a
Simplify.
2 × (3 – 1) + 3
Answers
Answer:
7
Step-by-step explanation:
do what is in the parenthesis first then multiply then add
Please help me I AM BEGGING please
Answers
Answer:
218
Step-by-step explanation:
the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2
A^2 + 256 = 400
400 - 256 = 144
Square root of 144 is 12
Unknown side is 12
Find the area of the triangle:
16 x 12 = 192
192/2 = 96
The area is 96
Now find the area of the circle:
pi x the radius^2
The diameter is 20, so the radius is 10
Pi x 10^2 = 314
314 - 96 = 218
A = π x d2/4
A= π x (20^2)/4
= 314.16 m2
Considering the other side of triangle
= √[(20^2)-(16^2)]
= √(400-256)
= √144
= 12 m
Considering area of triangle
A = 1/2 x bh = 1/2 x 16 x 12
A= 96 m2
Area of shaded region
= area[ circle - triangle]
= 314.16 - 96
= 218.16 m2
Answer = 218.16
The sales tax is $14 per
$100 What percent is the
sales tax? Show your
work.
NEED HELP ASAP PLEASE
Answers
We know this because 14 out of 100 is the same as 14%
Answer:
14%
Step-by-step explanation:
lets whip out that EPIC CALCULATOR! alright so i hope that you have your calculator with you, whether it is a physical one or a digital one on your computer.
try this:
enter 14, then the division sign ( could be a ÷ or an / ) and then 100.
what do we get?
0.14
ok, now lets multiply this by 100 to get the PERCENT instead of the DECIMAL, and we get
14%
EPIC!
If a coin is flipped 5 times and heads comes up 2 times, what is the relative frequency of heads coming up?
Answers
Answer:
0.40 is your answer
Step-by-step explanation:
0 .40 is your answer
Central school is hosting a Centrel has talent show. They will award various prizes for the best 3 acts in the show. First place wins the most money, and each subsequent place after first wins $50 less than the previous place. Let x equal the amount of money first place wins. Which of the following expressions represents the total amount of prize money select all that apply
Answers
Answer:
A,B,D,E
Step-by-step explanation:
yes
prove, using algebra, that the difference between the squares of consecutive odd numbers is always a multiple of 8.
lets 2n+1 be the smaller of the two odd numbers
Answers
Answer:
which of the variable in equation square of 9 is
Step-by-step explanation:
solution of the equation of 6 equals
why is thatO f 2 0 0 0 0 small businesses surveyed, about 82%
said they employed women in some capacity.
Of the businesses that employed women, 19. 5%
employed no female supervisors, 50% employed
only one female supervisor, and the remainder
employed more than one female supervisor,
a How many of the businesses surveyed
employed no women?
b W hat proportion of businesses surveyed
employed exactly one female supervisor?
c W hat proportion of businesses surveyed
employed no female supervisors?
d Given that a particular firm employed women,
what is the probability that it employed at
least one female supervisor
Answers
Using proportions, it is found that the desired amounts are given as follows:
a) 360 businesses employeed no women.
b) 41% of the businesses surveyed employed exactly one female supervisor.
c) 15.58% of the businesses surveyed employed no female supervisors.
d) 80.5% probability that it employed at least one female supervisor.
What is a proportion?A proportion is a fraction of a total amount.
Item a:
18% out of the 2000 businesses surveyed, hence:
n = 0.18 x 2000 = 360.
Item b:
50% out of 82%, hence:
p = 0.5(0.82) = 0.41.
41% of the businesses surveyed employed exactly one female supervisor.
Item c:
19% out of 82%, hence:
p = 0.19(0.82) = 0.1558.
15.58% of the businesses surveyed employed no female supervisors.
Item d:
100 - 19.5 = 80.5% probability that it employed at least one female supervisor.
More can be learned about proportions at https://brainly.com/question/24372153
Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?
Answers
Answer:
4kg
Step-by-step explanation:
Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?
10÷40=4kg
Answer:
4km
Step-by-step explanation:
In circle o below, what is the measure of angle x, the angle formed by a tangent and the
diameter of the circle?
Answers
[tex]\sf\large\underline\purple{Answer:-}[/tex]
The measure of the angle x = 90°
[tex]\sf\large\underline\blue{Reason:-}[/tex]
Theorem Of Tangent:-
[tex]\rightarrow[/tex]A radius is obtained by joining the centre and the point of tangency. The tangent at a point on a circle is at right angles to this radius.
________________________________
Hope it helps you:)
Have a nice day..
Answer:
The value of angle is 90°
Step-by-step explanation:
Theorem:-
The tangent of a circle is perpendicular to the radius through the point of contactAnd we know , the value of angle formed by perpendicular is 90°
A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a base of 21 cm and a height of 16 cm. The length of the entire box is 130 cm.
Which of the following is the volume of the box?
.
43,680 cm3
B.
21,840 cm3
C.
4,368 cm3
D.
19,340 cm3
Answers
24 × 17 = 408 x 130 = 53,040 / 2 = 26,520
So the volume of this box is
C= 26,520 cm^3
please help I am confused
Answers
Answer:
Step-by-step explanation:
Let's check the transformation from C(1,3) to C'(5,2).
(1) C(1,3) would become C'(2,-1), which is wrong.
(2) You can eliminate this, as the image and preimage are in the same quadrant.
(3) You can eliminate this, as the image and preimage are in the same quadrant.
(4) C(1,3) would become C'(5,2), which is correct.
He wallow fire of 2011 burned 538,000 acres in eastern arizona. A. [2 pts] if one square mile is 640 acres, how many square miles did the fire burn?
Answers
The square miles that was burned if one square mile is 640 acres is 840.625 square miles.
What does division mean?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
How many square miles was burned?Square miles that was burned = 538,000 / 640 = 840.625 square miles
To learn more about division, please check: https://brainly.com/question/13281206
There are 840.625 square miles did the fire burn.
What is division?Division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.
The wallow fire of 2011 burned 538,000 acres in eastern Arizona.
The area of square miles did the fire burned is;
[tex]\rm Area =\dfrac{538,000}{640}\\\\Area =840.625 \ square \ miles[/tex]
Hence, there are 840.625 square miles did the fire burn.
To learn more about division here:
brainly.com/question/13281206
#SPJ4
AABC and AXYZ are similar. Find the missing side length.
Y
B.
6.
?
15
5
A
4
С
X
12
Z
(The triangles are not drawn to scale.)
Answers
Answer:
2
Step-by-step explanation:
As they are SIMILAR, they have a ratio!
15:5=3
So, the scale factor is 3 from triangle ABC to triangle XYZ
6/3=2
Ash company reported sales of $580,000 for year 1, $630,000 for year 2, and $680,000 for year 3. Using year 1 as the base year, what is the revenue trend percent for years 2 and 3??
Answers
Answer:
Year 2: 109.4%
Year 3: 118.9%
Step-by-step explanation:
Given;Ash company reported sales of $580,000 for year 1$630,000 for year 2, $680,000 for year 3.Now,
For the revenue trend percent for year 2
Year 2: $580,000 / $530,000 × 100 = 109.4%
For the revenue trend percent for year 3
Year 3: $630,000 / $530,000 × 100 = 118.9%
Thus, The answer is 109.4% and 118.9%.
-TheUnknownScientist 72
Will give brainly if right
Answers
Answer:
60.61
Step-by-step explanation:
the missing angle is 51 degrees
we can say sin74/x = sin51 / 49
now we just solve for x.
x = 60.61
Find the area of this trapezoid Dimensions are in meters
Answers
Answer:
42 meters squared
Step-by-step explanation:
Lets split the trapezoid into 2 parts (6*5 and 2*6)
6*5+2*6
= 30+12
= 42
Answer:
36
Step-by-step explanation
5+7 = 12
12/2 = 6
6 * 6 = 36
formula = ((a+b)/2) * h
The point (3, 4) is on a circle with a center (1, 4).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.
Answers
Check the picture below.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]
SOMEONE HELP PLS, GIVING BRAINLIST TO ANYONE
Answers
Two six-sided dice are rolled and their product is taken. How many elements are in the subset of even numbers?
Answers
12 in all:
{2, 4, 36, 6, 8, 10, 12, 16, 18, 20, 24, 30}
Answer:
Step-by-step explanation:
Systems of equations by graphing
What would y = for this system?
Answers
Answer:
y = 0
Step-by-step explanation:
The intersection point of the system lies on the x-axisWe the y-value of the x-axis is 0y = 0A pencil is `120` millimeters long.
A marker is `9\%` longer than the pencil.
How long is the marker?
Answers
Given the length of the pencil, the length of the marker is 130.8 millimeters.
What are percentages?Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.
How long is the marker?Length of the marker = (1 + percentage) x length of the pencil
(1.09) x 120 = 130.8 millimeters
To learn more about percentages, please check: https://brainly.com/question/25764815
Anyone know the answer
Answers
so the equation is 1 1/3 ÷ 1 2/5
simpilify it
4/3 ÷ 7/5
since its division, you want to make it multiplication to you switch the fractions around.
you get the equation 3/2 * 5/7
which is 15/14
that converted to a improper fraction is 1 1/14
answer: 1 1/14