Answers
Answer:
9 ft
Step-by-step explanation:
its volume is equal to the area by height;
(2.5 x 3)h = 67.5
h = 9ft
Given:
Volume of triangular prism is 67.5 cubic feet
Height of triangular prism is 3 feet
Base width of triangular prism is 5 feet
Length of triangular prism is 't'
To find:
Value of 't'
Steps:
The formula for volume of triangular prism is,
volume of triangular prism = [tex]\frac{1}{2}[/tex] × Width × Height × Length
67.5 = [tex]\frac{1}{2}[/tex] × 5 × 3 × t
67.5 = [tex]\frac{1}{2}[/tex] × 15 × t
[tex]\frac{67.5}{15} = \frac{t}{2}[/tex]
[tex]4.5 = \frac{t}{2}[/tex]
[tex]4.5 * 2 = t[/tex]
[tex]9 = t[/tex]
[tex]t = 9[/tex]
Therefore the value of 't' is D) 9 feet
Happy to help :)
If you have any doubt or explanation feel free to ask
Related Questions
I NEED HELP PLEASE
are 12 cups greater than or less then 4liters
?????
Answers
Answer:
12 cups are less than 4 liters
Answer:
4 litres is greater.
A litre is worth about 4.23 cups. This means 4 liters is worth around 16.9 cups, whereas cups are worth 2.83 litres.
Gladys has just purchased a new home. The house was priced at $105,000,
and she chose a 40-year mortgage at 5.2%. What will her total cost be?
A. $24,776
B. $297,312
C. $249,739
D. $249,906
Answers
Answer: the answer is C
Step-by-step explanation: AP3X
The total cost is $249,739.
What is Mortgage Rate?A mortgage rate is the interest rate on a mortgage. Mortgage rates are set by the lender and might be fixed, remaining constant during the length of the loan, or variable, varying with a benchmark interest rate. Borrowers' mortgage rates differ depending on their credit profile.
We have,
P = $105, 000
T = 40 year
R = 5.2%
Using
Monthly payment, P = C[i(1+i[tex])^n[/tex]]/[(1+i[tex])^n[/tex]-1]
P = 105,000 [ 0.052/12(1+0.052/12[tex])^{480[/tex]]/[(1+0.052/12[tex])^{480\\[/tex]-1]
P = 105,000 [ 0.00433 (7.8426)] / [7.8426 -1]
P = 105,000 [ 0.03372318] / (6.8426)
P = $249,739
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To find the height of a pole, a surveyor moves 121 feet away from the base of the pole and then, with a transit 3.6 feet tall, measures the angle of elevation to the top of the pole to be 39. To the nearest foot, what is the height of the pole? Round your final answer to the nearest tenth of a foot.
Answers
Answer: 139 feet
Step-by-step explanation:I used tan. Tan(44) = x/140
x = 140(Tan 44)
x = 135.196
The transit is 4, so we add that to 135.
This makes 139 feet.
Does this seem right to you?
The original price of a TV is $138.00. It is on sale for 45% off the original price. What is the discount?
Answers
Answer:
$62.10 off and the total price would be $75.90
Step-by-step explanation:
138*0.55=75.9
It is $62.10 off the original price
1) Asma works for 32 hours in a week and is paid £15.20 for each hour worked.
James works 30 hours in a week and is paid £11.50 for each hour worked.
What is the difference in their total weekly pay?
Answers
Question below fr this time
Answers
Answer:
An object's initial position
The initial velocity of an object
The time an object was in motion
The acceleration of an object
Step-by-step explanation:
That equation is used to solve for an object's final position.
Aiden lives 3/4 mile from school. Kaitlyn lives 4/5 as far as Aiden does How far does Kaitlyn live from school? *
Answers
Answer:
31/20 miles
Step-by-step explanation:
Given data
Aiden lives 3/4 mile from school
Kaitlyn lives 4/5 as far as Aiden does
Hence Kaitlyn lives
=4/5+3/4
=16+15/20
=31/20 miles
Therefore Kaitlyn lives 31/20 miles from school
what i say when someone's ends a sentence with the word period " did you ever finish 1st grade question mark?"
Answers
Answer:
dude
Step-by-step explanation:
At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour
Answers
Answer: 20 hr
Step-by-step explanation:
Given
The depth of accumulated snow is [tex]d=10\ in.[/tex]
Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]
Time taken for complete melting of snow is
[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]
Brainliest for correct answer
Make x the subject of the formula y = ax^2 + b
Answers
Step-by-step explanation:
y-ax^2=b
y- ax^2÷b
y-a÷b
x√y-a÷b
mathematic uh coordinate planes ty and brainlist for the first person to answerr it right
Answers
Answer:
Me puedes informar mas?
Step-by-step explanation:
HURRY! Which expression represents the difference quotient of the function f(x) = 13-5x/4 for all nonzero values of h?
A. 1/4
B. h/4
C. -5/4
D. -5h/4
Answers
13-5x/4
13-5 dividendo 4
13-5/4
47-5/4
1/4
The expression represents the difference quotient of the function f(x) = 13-5x/4 for all nonzero values of h is ( 1 / 4). The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given function is f(x) = 13-5x/4. The value of the expression will be calculated as below:-
E = 13-5x/4
Put the value of x equal to 1.
E = 13-5/4
E = 47-5/4
E = 1/4
Therefore, the value of the expression is (1/4).
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When Ranim started karate, her highest kick went 110^\circ110 ∘ 110, degrees from the ground. Her instructor asked her to practice until her highest kick goes 155^\circ155 ∘ 155, degrees from the ground. Which equation will tell us the measure of the additional angle, aaa, that Ranim's kick needs to go to reach 155^\circ155 ∘ 155, degrees from the ground?
Answers
Answer:
Step-by-step explanation:
155° - 110° = 45°
Answer:
A
Step-by-step explanation:
Because i literally just did it on khan academy plus 155-110=45
Which equation represents a line which is parallel to x=0?
y=5
x=4
x=1/4y
x=−4y
Answers
Answer:Answer is A
Step-by-step explanation:
Correct option is
A
6x+2y=15
Given line is y=−3x+4
This is slope intercept form of a line where slope of line is −3.
Since, two lines are parallel When their slopes are equal.
Slope of line is 6x+2y=15
⇒2y=−6x+15
⇒y=−3x+
2
15
is equal to −3
Option A is correct.
A dilation maps (4, 6) to (2, 3). Under the same dilation, (-1, 3) would be mapped to _____. (-1/2, 3/2) (-3, 0) (-2, 6)
Answers
Answer:
(-1/2, 3/2).
Step-by-step explanation:
A dilation maps (4, 6) to (2, 3).
4/2 = 2, 6/3 = 2
It means that each coordinate is divided by 2.
(-1, 3) would be mapped to
Dividing by 2: (-1/2, 3/2) is the correct answer
i got 16/63 but i am not sure if its correct or not .
Answers
Answer:
i think i got
sin x =16/65 not 16/63
In the example, what is the relationship between the perimeter and the side length of an equilateral triangle
Answers
Answer:
P = 3s
Step-by-step explanation:
To start with, let's assume that
The perimeter of a triangle is called P
The side of a triangle is called s
Now, by formulae, the perimeter of an equilateral triangle is given as P = 3s. Which is the same as adding up the 3 sides together.
Succinctly put, we can then conclude that if P = 3s, then the perimeter of an equilateral triangle is equal to the lengths of its 3 sides.
What is the percent of change from 800,000 to 80,000?
Answers
Solution for 80000 is what percent of 800000:
80000:800000*100 =
(80000*100):800000 =
8000000:800000 = 10
Now we have: 80000 is what percent of 800000 = 10
(14,-1),(5,7) slope
Answers
Answer:
(-9, 8)
Step-by-step explanation:
(14, -1) >> (x1, y1)
(5, 7) >> (x2, y2)
(y2 - y1) 7 - (-1) = 8
----------- >>>
(x2 - x1) 5 - 14 = -9
x always goes first in a coordinate, so
(-9, 8)
Hope this helped ;)
im confused on this one
Answers
A hotel provides discounts to area attractions for people attending conventions, hoping this will encourage them to bring their families. The hotel wants to see if the marketing campaign was successful. Which of these methods will produce the most representative sample of the population of convention participants?
A. The hotelsends an email to a random selection of people who have been registered as convention participants during the past six months.
B. Surveyors stand beside one of the booths during a convention and ask the people who visit the booth if they brought their families.
C. Surveyors stand outside local attractions and ask arriving guests if any member of their family is in town for a convention
D. The hotel surveys all the convention visitors who eat at their hotel.
Answers
Answer: A
Step-by-step explanation:
I did the quiz
The elevations, in miles, of three museums are marked on the number line below. Point O on the number line represents sea level. Which of the following statements is true? *
A. Museum A is at sea level and both museums B and C are above sea level.
B. Museum A is above sea level and Museum B is at sea level.
C. Both museums B and C are below sea level.
D. Museums A and B are below sea level.
Answers
Answer:
I would say C.
Step-by-step explanation:
Point A would be exactly at sea level while B and C are both under A
(sea level).
can you help me solve this
4x + 33 / 9 = -9
Answers
Answer:
4x + 33 / 9 = -9
multiply both side by 9;
9x(4x + 33 / 9 )= -9 x(9)
36x + 33 =-81
36x = -81-33
36x = -114
x = (-114)/36
Step-by-step explanation:
Answer:
4x+33/9= -9 (reduce the fraction)
4x+11/9= -9 (move the constant to the.
right)
4x = -9- 11/9
4x = -38/3 (divide both sides by 4)
x = -19/6
PLS SHOW WORK! WILL GIVE BRAINLIEST!
A bike tire has a diameter of 35 inches. If the tire rotates 10 revolutions, how far did the bike travel?
Answers
Answer:
Distance travelled = 91.61 feet
Step-by-step explanation:
Given the following data;
Diameter, d = 35 inches
Number of revolutions = 10 Rev
To find the distance travelled by the bike;
First of all, we would determine the circumference of the bike's tire, which is circular in shape.
Circumference of circle = πd
Circumference of circle = 35π
Next, we multiply by the number of revolutions to get the distance travelled.
Distance travelled = 35π * 10
Distance travelled = 350π inches
But pie, π = 3.142
Distance travelled = 350 * 3.142
Distance travelled = 1099.7 inches.
In feet;
1 inches = 0.0833 feet
1099.7 inches = x feet
Cross-multiplying, we have;
x feet = 1099.7 * 0.0833
x feet = 91.61 feet
Distance travelled = 91.61 feet
At a certain fire station, false alarms are received at a mean rate of .2 per day. In a year, what is the probability that fewer than 60 false alarms are received?
Answers
Answer:
0.064
Step-by-step explanation:
Number of days in a year = 365
Mean rate of false alarm in a year = λ = 365 * 0.2 = 73
Standard deviation, σ = sqrt(λ) = sqrt(73) = 8.54 (for large λ value)
Using the relation :
P(x < 60): (60 - 73) / 8.54
P(x < 60) = - 1.52
P(Z < - 1.52) = 0.06426 (Z probability calculator
= 0.064
What is the measure of each interior angle?
Answers
Answer:
144°
Step-by-step explanation:
The angles of a decagon add up to 1440°
1440/10=144
Answer:
144°
Step-by-step explanation
14 - 2(11 - 5) + [tex]7^{2}[/tex]=
Answers
Answer:
51
Step-by-step explanation:
28 first graders and 12 other students attended a school assembly what percentage of the students at the assembly were first graders
Answers
Answer:
70%
Step-by-step explanation:
Find the total students who attended a school assembly:
28 + 12 = 40
100% = 40 students
1% = 40 ÷ 100 = 0.40
28 ÷ 0.40 = 70
Answer:
70%
Step-by-step explanation:
28+12= 40
28/40= 0.7
0.7x100= 70
Which pair of functions are inverse of each other
Answers
Answer:
(A)
Step-by-step explanation:
Solve the equation 7= -108 – 3.
Answers
-108-3-7 = -118
Answer:
s=-1
Step-by-step explanation: