Answers
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].
Related Questions
The agricultural practice of irrigation leaves behind which pollutant in the
soil?
O A. Salt
B. Acidic compounds
C. Nitrogen compounds
D. Pesticides
The answer is Salt !!
Answers
Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?
Answers
Given:
Renee has dimes and quarters in her wallet that total $1.60.
She has 2 more dimes than quarters.
To find:
The number of each type of coins.
Solution:
Let x be the number of dimes and y be the number of quarters.
She has 2 more dimes than quarters. So,
[tex]x=y+2[/tex] ...(i)
We know that,
1 dime = $0.10
1 quarter = $0.25
Renee has dimes and quarters in her wallet that total $1.60. So,
[tex]0.10x+0.25y=1.60[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.10(y+2)+0.25y=1.60[/tex]
[tex]0.10y+0.20+0.25y=1.60[/tex]
[tex]0.35y=1.60-0.20[/tex]
[tex]0.35y=1.40[/tex]
Divide both sides by 0.35.
[tex]y=\dfrac{1.40}{0.35}[/tex]
[tex]y=4[/tex]
Substituting [tex]y=4[/tex] in (i), we get
[tex]x=4+2[/tex]
[tex]x=6[/tex]
Therefore, the number of dimes is 6 and the number of quarters is 4.
Which equation is equivalent to
y-1= 5(x+2) ?
Answers
Step-by-step explanation:
We can simply by opening the brackets ,
=> y - 1 = 5( x - 2 )
=> y - 1 = 5x - 10
=> y - 5x = -9
=> 5x - y + 9 = 0
whats the value of x? -5(x + 7) = -14 + 2x
Answers
Answer: x=-3
Step-by-step explanation:
Ok let's start by using the distributive property
[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]
Now subtract 2x from both sides
[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]
Next add 35 to both sides
[tex]-7x-35+35=-14+35\\-7x=21[/tex]
Finally divide both sides by -7
[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]
Answer:
x = -3
Step-by-step explanation:
First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.
Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a
building. If the angle formed between the ladder and the ground is 65 degrees, how far is
the bottom of the ladder from the base of the building? (Round to two decimal places)
Answers
Step-by-step explanation:
the answer is in the above image
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
Answers
Answer:
a) 1650 m
b) 1677.05 m
Step-by-step explanation:
Hi there!
1) Determine what is required for the answers
For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.
For part B, we're asked to solve for the length of the road, or the length of AB.
2) Prove similarity
In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).
How do we know they're similar?
Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle ATherefore, the two triangles are similar because of AA~ (angle-angle similarity).
3) Solve for part A
Recall that we need to find the length of AC.
First, set up a proportion. XY corresponds to BC and AY corresponds to AC:
[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]
Plug in known values
[tex]\frac{2}{300}=\frac{11}{AC}[/tex]
Cross-multiply
[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]
Therefore, the road will rise 300 m over a horizontal distance of 1650 m.
4) Solve for part B
To find the length of AB, we can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides
Plug in 300 and 1650 as the legs (we are solving for the longest side)
[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]
Therefore, the length of the road is approximately 1677.05 m.
I hope this helps!
The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?
Answers
Solve for V
To solve for V we have to do the following.
The formula above reads V(Volume of air) equals 4 divided by 3 times pi times 6 to the power of 3
Answer:
904.78
Step-by-step explanation:
which sum or difference is modeled by the algebraic tiles?
Answers
Answer:
C
Step-by-step explanation:
Answer the question.
Answers
Answer:
$19.53
Step-by-step explanation:
$20 - 0.1(20) = 20 - 2 = 18
18 + 0.085(18) = 18 + 1.53 = 19.53
I need help solving these problems
Answers
Answer:
question one:
x = 6.018150231520483
adjacent angle = 7.986355100472928
Step-by-step explanation:
i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations
it automaticly does sin, cos, and tan for you.
A polygon with 6 sides is shown. No angles go inside of the shape.
What type of polygon is shown?
convex heptagon
concave heptagon
concave hexagon
convex hexagon
Answers
Answer:
d. convex hexagon
Step-by-step explanation:
i got a 100 edge 2021
The type of Polygon shown as given in the question with its' shape is called; Convex Hexagon
How to define Polygons?We are told that the polygon has 6 sides and that no angle goes inside the shape.
Now, a polygon with 6 sides is called a hexagon. However, in this case the name will be a convex hexagon because it will have a hexagonal shape with no interior angle greater than 180°.
Despite that said, regular hexagons will always be called convex hexagon while Irregular hexagons can also be called convex hexagons.
Read more about Polygons at; https://brainly.com/question/1592456
#SPJ2
Can someone help me out these problems !!!
Answers
Answer:
Zoom in more and I can help
Step-by-step explanation:
A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?
Answers
Answer:
$375
Step-by-step explanation:
Method I
25% = .25
500 * .25 = 125
500 - 125 = 375
-----------------------
Method II
1 - .25 = .75
500 * .75 = 375
The chart below represents the number of marbles in a jar. What is the probability of picking blue?
P(blue) =
Answers
Answer:
yes
Step-by-step explanation:
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answers
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
Please help i'm struggling with this!It's urgent!
Answers
Answer:
Step-by-step explanation:
Dilation
Mrs. Jones is planning a field trip to the state capitol building for all of the sixth graders at her school. She needs $3.75 to cover the cost of each student's lunch. There are 327 students attending the field trip. How much money does Mrs. Jones need to cover the cost of all of the students' lunches?
Answers
Answer:
= $1226.25
Step-by-step explanation:
There are 327 students
Each student lunch is $3.75
She needs 327 of these $3.75 lunches
So 327 times $3.75
= $1226.25
find the complement of 63°
Answers
Answer:
63=90-63= 27
Bye
Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?
Answers
Answer:
D = 3
Step-by-step explanation:
edge 2022
the floor of a warehouse is 60m long 40m wide. find the cost of polishing the floor plzzz helpp
Answers
Answer:
Rs 192000
Step-by-step explanation:
area of floor = l*b
=60 * 40
=2400 m^2
cost of polishing per square cm of the floor is Rs 80
cost of polishing floor = 2400 * Rs 80
=Rs 192000
Sarah's family traveled 5 8 of the distance to her grandmother's house on Saturday. They traveled 1 3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?
Answers
Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]
Step-by-step explanation:
Let x be the total distance to grandmother's house .
As per given,
Distance traveled on Saturday = [tex]\dfrac58x[/tex]
Remaining distance = [tex]x-\dfrac58 x[/tex]
[tex]=\dfrac38x[/tex]
Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance
= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]
= [tex]\dfrac18 x[/tex]
The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]
A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80
Answers
Answer:
20 %
Step-by-step explanation:
If she saved 15 dollars and paid 60, the original price was 60+15 = 75
The percent discount is (original - new) / original = ( 75-60)/75 = 15/75 = .2
Change to percent form = .2 * 100 =20%
Answer:
B.) 20 %
The percentage discount on the shoes is 20 % .
Step-by-step explanation:
Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.To Find :-The percentage discount on the shoesSolution. :-She pays 60 dollers and saved 15 dollers on the regular price.
original price of pair of shoes = 60 + 15 = 75
Percentage discount is = original price - new price / original price
= 75 - 60 / 75 = 15 / 75 = 0.2
Percentage discount = 0.2
Change into percentage =0.2× 100 = 20%
Therefore, the percentage discount on the shoes is 20 % .
use the function below to find F(3).
F(x) = 4(1/3)^x
Answers
Answer:
4/27
Step-by-step explanation:
F(x) = 4(1/3)^x
Let x =3
F(3) = 4(1/3)^3
Exponents first
F(3) = 4 * 1/27
Then multiply
f(3) = 4/27
Answer:
4/27
Step-by-step explanation:
f(x) = 4(1/3)^x
f(3) = 4(1/3)^3
f(3) = 4(1/27)
f(3) = 4/27
hope that helps
5 exponent 3 · 5 exponent 8
needs to be in exponent form
WILL GIVE BRAINIEST
Answers
Answer:
[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]
Step-by-step explanation:
when the bases are the same, add exponents
may I please have help from anyone thank you so much !
Answers
Answer:
Hello! answer:
largest volume: Rectangle C
smallest volume: Rectangle A
Step-by-step explanation:
Rectangle A: 120
Rectangle B: 160
Rectangle C: 224
Rectangle D: 189
Hope that helps!
Plss help me with this equation
Answers
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
Find the area of the shaded figure. The area is square units (AREA OF COMPOSITE FIGURES)
Answers
Answer:
28 square units
Step-by-step explanation:
count the middle and edgr squares then u can just put the parts of the square together
the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of 15 km, the charge paid is 155. How much does a person have to pay for traveling a distance of 25 km?
Answers
Answer:
255
Step-by-step explanation:
total cost paid = fixed cost + total variable cost
total variable cost = distance travelled x variable cost per unit
two equations can be derived from the question
a + 10b = 105 equation 1
a + 15b = 155 equation 2
a = fixed cost
b = variable cost per unit
Subtract equation 1 from 2
5b = 50
b = 10
Substitute for b in equation 1
a + 10(10) = 105
a = 105 - 100 = 5
a = 5
cost of travelling a distance of 25km
5 + 10(25) = 255
624,612 rounded to the nearest hundred is
Answers
Answer:
624,600
Step-by-step explanation:
624,612
612 rounds to 600
624,600
Answer:
624,600
Step by step explanatiom:
cause math
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Answers
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
