Step-by-step explanation:
Length, width and height are three dimensional objects.
I hope this will help you.
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.Carpenters refer to the slope of a roof as the pitch on the roof
Answer:
Step-by-step explanation:
pitch=4/12=1/3
Rachel took out a personal loan for $4,500 with a monthly payment of $173.06 for 36 months. determine the finance charge on rachel's loan if she takes all 36 months to pay it off. a. $48.06 b. $1,730.16 c. $4,500.00 d. $6,230.16
The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.
The amount of personal loan = $4500
Monthly payment =$173
Loan tenure = 36 months
The total amount that Rachel will pay for 36 months = 36*173.06
The total amount that Rachel will pay for 36 months = $6230.16
What is the finance charge?A finance charge refers to any cost related to borrowing money, obtaining credit, or paying off loan obligations.
The finance charge on Rachel's loan if she takes all 36 months to pay it off = The total amount that Rachel will pay till 36 months - Amount of personal loan
The finance charge on Rachel's loan = 6230.16-4500 = $1730.16
Therefore, The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.
To get more about monthly payments visit:
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What is the length of diagonal LN?
12.6 in
25.2 in
22.8 in
20.4 in
Answer:
50.7016
Step-by-step explanation:
1.Area of rhombus is l^2
area of rhombus=1/2*d1*d2
Answer:
the answer is C.25.2
Step-by-step explanation:
i took the quiz and got it right.
what is the angle measure of 8?
Answer:
2x+8
Step-by-step explanation:
Since the two lines are crossing each other, angles on one side should be equal to the angle directly opposite them.
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)
The area of a rectangle is given by x2 - 12x + 35. Determine the length and breadth in
terms of x. Hence, determine the length and breadth if x = 20.
(3)
Answer:
[tex]x+7; x+5; 27; 25[/tex]
Step-by-step explanation:
First of all, we need to write [tex]x^2+12x+35[/tex] as a product. The easiest way is to find a pair of numbers whose product is 35 and sum is 12. Looking at the product, you notice it's 7 and 5, which added together indeed give 12.
The two side length are thus [tex]x+7[/tex] and [tex]x+5[/tex].
In the specific case, when [tex]x=20[/tex] the two sides measures 27 and 25.
A sample contains 16.75 g of the radioisotope u-236 and 50.25 g of its daughter isotope, th-232. how long did it take for decay to take place if one half-life of u-236 is 23 million years? 46 million years 69 million years 92 million years 115 million years
If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.
What is half-life?Half-life is the time interval that is needed to decay the atomic nuclei of a radioactive sample.
A sample contains 16.75 g of the radioisotope U-236 and 50.25 g of its daughter isotope, Th-232.
Initially, the whole sample is consisting the radioisotope. Then the initial total mass will be
m₀ = 16.75 + 50.25
m₀ = 67 g
Now we also know that the half-life is 23 million years. Then we have
[tex]m = m_oe^{- \lambda t}[/tex]
Then put the value
[tex]\begin{aligned} 16.75 &= 67 e^{- \lambda t}\\\\0.254 &= e^{- \lambda t}\\\\\lambda t &= 1.37\\\\\dfrac{ln2}{23 \rm \ million \ years } \times t &= 1.37\\\\t &= 45.5 \ \rm million\ years \end{aligned}[/tex]
If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.
More about the half-life link is given below.
https://brainly.com/question/24710827
Answer:
a. 46 million years
Step-by-step explanation:
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.
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
In a 180-kilogram sample of ore, there was 3.2% metal. How many kilograms of metal were in the sample?
5.76 KG as 180 x 0.032 (3.2 percent) = 5.76
Help guys asap this is due today. Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The volume of the cylinder in^3?
The volume of with the same radius and double the height is ?
Answer:
226.2 in³ and 452.4 in³
Step-by-step explanation:
Volume of original shape:
Volume = base area x height
Volume = πr² x 2
Volume = π(6)² x 2
Volume = 113.10 x 2
Volume = 226.2 in³
Volume with same radius but double the height:
Volume = base area x height
Volume = πr² x 2(2) ----------> multiplied by 2 because height is being doubled
Volume = 113.10 x 4
Volume = 452.4 in³
A server makes $200 a week working at a local restaurant. The server saves 35% of the $200 weekly earnings each week for 4 weeks.
If the server saves 7/8 of the 5th week’s $200 earnings, how much money will the server have saved in total after the 5 weeks?
.$245
.$305
.$315
.$455
The total amount of money the server would have saved after 5 weeks is $455.
What is the total amount saved?The first step is to determine the total amount of money saved for the first four weeks.
Total amount of money saved in the first four weeks = 35% x (200 x 4) = $280
Amount saved on the 5th week = 7/8 x $200 = $175
Total savings = $175 + $280 = $455
To learn more about fractions, please check: https://brainly.com/question/1301963
Evaluate a + 6 for a = 10
16
6
60
Điền số nguyên để
-3/5<...<-1
I don't know to this problem sorry
PLEASE HELP!!!
Only answer if you know the answer
Answer:
132
Step-by-step explanation:
Marcy is putting a wallpaper border at the top of the walls of her baby's rectangular room. The width of the room is 2 feet less than the length. If she needs 52 feet of border, what are the dimensions of the room?
Answer:
The baby's rectangular room is 14 feet long and 12 feet wide
Step-by-step explanation:
Assume we set:
x=width of the room
y=length of the room
The width of the room is 2 feet less than the length:
[tex]x=y-2\qquad\qquad [1][/tex]
The total length of the wallpaper needed is the perimeter of the room. The formula for the perimeter of a rectangle is:
P=2x+2y
And the perimeter is equal to 52 feet:
2x+2y=52
Dividing by 2:
[tex]x+y=26\qquad\qquad [2][/tex]
Substituting x from [1]:
y-2+y=26
Simplifying:
2y-2=26
Adding 2:
2y=28
Solving:
y=28/2=14
y=14
Find x:
x=y-2=14-2=12
The baby's rectangular room is 14 feet long and 12 feet wide
-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
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
Please help me answer this question please?
Part c
Answer:
ok 12 is 12 1 is 1 2 is 2 and three is treee
What is four hundred seventy five and nineteen thousandths in standard form
Answer:
475.019
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
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
can someone help me please
Answer:
C. d = C/pi
Step-by-step explanation:
lol nothing really to explain but it's saying diameter equals circumference divided by pi
Hope this helps dude !
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:
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.
a/b = (a+b)/a
What is the value of a/b? Please show all steps.
Answer:
1+b/a
Step-by-step explanation:
To find the amount of a/b we have to solve the equation
(a+b)/a
a/a+b/a
a/a is one so
1+b/a
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
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!
Which composite figure is made up of a cone and a cylinder?
Answer:
Your answer is B, the second one.
Step-by-step explanation:
Complete two expressions that have the same product as 3 x 5 . 12
__________ x
1
12 __________ x
3
12 hurry up please