A cabinet is the shape of a triangular prism. The triangular base has a base length of 14 inches and a base height of 22 inches. The cabinet is 67.5 inches tall. What is the volume of the cabinet?
Answer:
As Per Provided Information
We have been asked to determine the volume of triangular Prism . Volume of Triangular Prism is calculated by using the following formula
[tex] \bf \: Volume_{(Triangular~Prism)} = \cfrac{1}{2} \times b \: \times h \times l [/tex]
Substitute the given value and let's calculate the volume of cabinet .
[tex] \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \cfrac{1}{2} \times 14 \times 22 \times 67.5 \: \: \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \frac{1}{ \cancel2} \times \cancel14 \times 22 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = 7 \times 22 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \: 154 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = 10395 {cm}^{3} [/tex]
Therefore,
Volume of the Triangular Prism Cabinet is 10395 cm³.PLS HELP ME !!
20 POINTS PLS HELP !!
Number 3 and 4 !!:)
Answer:
3. W = L - 4
4. x = 12 + 5cd
if you're creating equations that's what I would do
The revenue, Y, received for selling, t, DVD players is given by the equation: Y = -1/1000 t^2 + 10t. Find the number of DVD players that must be sold to obtain the maximum revenue.
The equation Y = -1/1000 t^2 + 10t is an illustration of a quadratic function
The number of DVD players that must be sold to obtain the maximum revenue is 5000
How to determine the number of DVDs?The equation of the function is given as:
[tex]Y = -\frac 1{1000} t^2 + 10t[/tex]
Differentiate the function
[tex]Y' = -2 * \frac 1{1000} t + 10[/tex]
Set to 0
[tex]-2 * \frac 1{1000} t + 10 = 0[/tex]
Simplify
[tex]- \frac 1{500} t + 10 = 0[/tex]
Subtract 10 from both sides
[tex]- \frac 1{500} t = -10[/tex]
Multiply both sides by -500
[tex]t = 5000[/tex]
Hence, the number of DVD players that must be sold to obtain the maximum revenue is 5000
Read more about maximum revenue at:
https://brainly.com/question/25638609
A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut the green rope into 2 pieces. One of the pieces is 21 inches in length.
How many inches long is the other piece of the green rope? Use words and numbers to explain your reasoning.
B. Antonia's blue rope measures 2 yards. She wants to cut the rope into MORE than 3 pieces so all the pieces of rope are equal in length with no rope left over.
What is ONE possible way that Antonia can cut the rope so that each piece of rope is less than 24 inches in length? Use words and numbers to explain your reasoning.
Type your answer in the box below. Make sure to label each part with A and B.
Answer:
The other part is 27 in. long
Step-by-step explanation:
1 ft is 12 in
2 ft are 24 in
4 ft are 48 in
48 in - 21 in = 27 in
Answer:
Part A
Green rope = 4 ft
As 1 ft = 12 in
Then 4 ft = 4 × 12 in = 48 in
Antonia cuts the green rope into 2 pieces. One of the pieces is 21 in long. To find the length of the unknown piece, subtract the length of the known piece from the total length:
length of unknown piece = 48 - 21
= 27 in
Part B
Blue rope = 2 yd
1 yd = 36 in
Therefore, 2 yd = 2 × 36 = 72 in
Antonia wants to cut the rope into MORE than 3 pieces, and all the pieces need to be of equal length. As the length of the rope is an even number of inches, Antonia could first cut the rope in half, so she would have 2 pieces each of 36 in in length. Then she could cut both of those lengths in half, so she would have 4 pieces each of 18 in in length.
40 points!
create one equation with a fraction and show the work to solve it.
Answer: 3x/6=4
Step-by-step explanation:
3x/6 = 4
multiply 6 on both sides to remove fraction.
3x=24
x=8
what is the missing factor in x2−x−42=()(x−7)
Answer:
Step-by-step explanation:
The missing factor has the form (x - a). The given factor is (x - 7). The product (a)(-7) must be -42, and therefore the missing factor is (x + 6)
Jenna runs 6km per hour, how long would it take her to run 3km
It would take Jenna half an hour, or 30 minutes, to run 3 km.
Hope this helps!
Ms. Caswell deposits $450 into an account earning 8% simple interest per year. How
much simple interest is earned after 4 years?
Answer:
$144
Step-by-step explanation:
Use the simple interest formula, I = prt, where I is the interest money created, p is the starting amount, r is the interest rate as a decimal, and t is the amount of time.
Plug in the original amount, interest amount, and amount of time:
I = prt
I = 450(0.08)(4)
I = 144
So, $144 in simple interest is made in 4 years
Can someone help please, I put answers but I’m not sure if they’re right
Answer:
Step-by-step explanation:
x = y
x² + x² = 18²
2x² = 324
x² = 162
x = √162
x = y = 9√2
Is 13 quarts greater than, less than, or equal to 4 gallons?
Answer:
Less than
Step-by-step explanation:
One quart is .25 of a gallon
HELP ASAP A function is defined by fx) = 6x+1.5. What is f(2.5)?
Answer:
f(2.5) = 16.5
Step-by-step explanation:
To evaluate f(2.5), substitute x = 2.5 into f(x) , that is
f(2.5) = 6(2.5) + 1.5 = 15 + 1.5 = 16.5
Điền số nguyên để
-3/5<...<-1
I don't know to this problem sorry
I need to know the answer to this and how to solves
Answer:
B is the answer
Step-by-step explanation:
looking at line CF,
it is a straight line thus being 180°
the < EOD is 90° < EOF is 55°
let < COD = t
therefore,
EOD + EOF + COD = 180
90 + 55 + t = 180
taking terms
t = 180 - (90 + 55)
t = 180 - 145
t = 35
COD = 35
EOD = 90
THUS, COE = COD + EOD
COE = 35 + 90
COE. = 125
DO MARK BRAINLIEST
You have one coupon for x dollars off and another coupon for x% off.
Write a rule that helps you decide when you should use one instead the other.
Answer:
if you want an item that is 100 dollars of then you would like the precent of because 1-100 percent is 1-100 so the larger the number the more you would want the percent but if it is 10% or 5 dollars of on an item of 10 dollars then the dollars of would be better so the higher the number the more you want percentage.
Plzz help this assignment is due tomorrow!!
Answer:
Rip dude XD Ur gonna die
A banner measures 5.4 feet long.
How long does the banner measure in inches and in yards?
Enter your answers in the boxes.
Answer:
64.8 inches, 1.8 feet
Step-by-step explanation:
5.4*12=64.8
5.4/3=1.8
Answer:
Inches: 64.8, Yards: 1.8
Step-by-step explanation:
To get inches you multiply 5.4 by 12 and you get 64.8. To get yards you divide 5.4 by 3 and you get 1.8.
what is ten to the 3rd power
Answer:
1000
Step-by-step explanation:
10 x 10 = 100
100 x 10 = 1000
if two angles 2x+10°and 3x+20°are supplementary find x
Answer:
x = 30
Step-by-step explanation:
Supplementary angles sum to 180° , then
2x + 10 + 3x + 20 = 180 , that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Questions 3, 4, and 5.
Answers:
Reason 2) Given. Specifically, the diagram shows that the two angles are adjacent and supplementary, which is why the two angles are a linear pair.Reason 3) Definition of Linear Pair. As stated above, a linear pair of angles add to 180 degrees (they are supplementary).Statement 4) [tex]m \angle WZX = 90 \text{ and } m \angle WZV = 90[/tex] since the term "right angle" is another way of saying "90 degree angle"Statement 5) [tex]\overset{\leftarrow -\rightarrow}{WY} \perp \overset{\leftarrow -\rightarrow}{XV}[/tex] The upside down "T" symbol means "perpendicular". Perpendicular lines form 90 degree angles at the intersection.Side note: The double arrow over WY and XV in statement 5 is supposed to be an unbroken line.
Solve X + 5 + 6x = 180. What are the steps?
Answer:
x=25
Step-by-step explanation:
x+5+6x=180
7x+5=180
7x=175
x=25
PLEASE HELP!!!
Only answer if you know the answer
Answer:
132
Step-by-step explanation:
What is an equation of the line that passes through the point (8,2) and is parallel to the line x+4y=28
Answer:
[tex]y =\frac{-1}{4}x + 4[/tex]
Step-by-step explanation:
Parallel lines have same slope
x + 4y = 28
4y = -x + 28
[tex]y=\frac{-1}{4}x+\frac{28}{4}\\\\y=\frac{-1}{4}x+7[/tex]
m = (-1/4) and line passes through (8 , 2)
Equation: y - y₁ = m(x - x₁)
[tex]y - 2 = \frac{-1}{4}(x - 8)\\\\y -2 = \frac{-1}{4}x - 8*\frac{-1}{4}\\\\y -2 = \frac{-1}{4}x + 2\\\\ y = \frac{-1}{4}x + 2 +2\\\\ y =\frac{-1}{4}x + 4[/tex]
2x + 4 = 6x -8
X=2
No solution
X=4
X=3
Answer:
x=3
Step-by-step explanation:
-8-4=-12
2x-6x=-4
-12÷-4=3
Hope this helps! :)
605 and 1152 to the nearest tenth
Answer:
600 and 1200
Step-by-step explanation:
HELP PLEASE! 30 POINTS AND WILL MARK BRAINLIEST.
Write the first 4 terms of the sequence defined by the explicit rule
f(n)=n^2-5
Answer:
-4,-1,4,11
Step-by-step explanation:
f(n)=n^2-5
Let n= 1
f(1)=1^2-5 = 1-5 = -4
Let n= 2
f(2)=2^2-5 = 4-5 = -1
Let n= 3
f(3)=3^2-5 = 9-5 = 4
Let n= 4
f(4)=4^2-5 = 16-5 = 11
Please someone I need help
I will give3 BRAINLY
5 STARS and a THANKS
Please help
HINT: Add 5 yrs to x
Answer:
the answer is 5 + x
Step-by-step explanation:
The reason is because since you do not know the age of sam you cant put a number infront of x. So you just add 5 + x
-2x8y=12 slope - intercept form
Answer:
you mean
2x-8y=12
8y=2x-12
y=(1/4)x-(3/2)
so intercept is-3/2
The first occurrence of the highest temperature in the
cycle is day with a temperature of °C.
The first occurrence of the lowest temperature in the
cycle is day with a temperature of °C.
Answer: 9,28
4,22
Step-by-step explanation:
Answer:
Step-by-step explanation:
pizzas cost 14$ and you have 60$ how many pizzas can you buy and whats the remainder and quotient
Answer:
you can buy 4 pizza's and have $4 left over
Step-by-step explanation:
60/14 = 4.2857...
14 x 4 = 56
60 - 56 = 4
Answer:
quotient: 4
remainder:4
Step-by-step explanation:
you can buy 4 pizzas in all
what is a Gratitude to you?