Answers
Answer:
92.5 cubic units
Choice A
Step-by-step explanation:
To approach this problem, separate out the composite solid figure into individual easily manageable components
At the bottom we have a rectangular prism which has a base length of 2a, a height of a and a width of c
Its volume = L X H X W = 2a·a·c= 2a²c
Plugging in values for a and c we get
Volume of rectangular prism
= 2 x (3.7)² x 2
= 54.76 cubic units
On top of this rectangular prism are two right-angled triangular prisms
The volume of a right-angled triangular prism =
Here height = b (confusing :)
base = a
width = c
So volume of each triangular prism
[tex]=\textrm{$\dfrac{1}{2} \times $ base x height x width}\\\\= \dfrac{1}{2} a \times b \times c\\\\ = \dfrac{1}{2} \times 3.7 \times 5.1 \times 2\\\\= 18.87[/tex]
Since there are 2 such prisms the volume of both
= 18.87 x 2 = 37.74 cubic units
Total volume of composite solid = 54.76 + 37.74 = 92.5 cubic units
Related Questions
THIS IS A MULTIPLE CHOICE QUESTION!
Corey, Billy, and Shea own a house repair and update business. The number of hours that each person spent painting and doing repair work on the same house is listed below.
• Corey: 4.25 hours
• Billy: 7.75 hours
• Shea: 10.5 hours
They earned a total of $1,100 for the job and put 25% of the money earned in an account for future expenses. If they divide the money proportionally based on the number of hours each worked, how much money did Shea receive?
A.$385
B.$412.50
C.$413.33
D.$641.77
Please show ALL of your work.
Answers
Answer:
The correct answer is A. $385.
Step-by-step explanation:
Since Corey, Billy, and Shea own a house repair and update business, and the number of hours that each person spent painting and doing repair work on the same house is listed below.
• Corey: 4.25 hours
• Billy: 7.75 hours
• Shea: 10.5 hours
And since they earned a total of $ 1,100 for the job and put 25% of the money earned in an account for future expenses, to determine how much money Shea received if they divided the money proportionally based on the number of hours each worked is owed perform the following calculation:
1100 x 0.75 = 825
10.5 + 7.75 + 4.25 = 22.5
22.5 = 100
10.5 = X
10.5 x 100 / 22.5 = X
1050 / 22.5 = X
46.666 = X
825 x 0.4666 = X
384.99 = X
Therefore, Shea received $385.
b. -2 + 3x = -(x + 6)
Solve for x
Answers
Work:
-(x + 6)
-x - 6
-2 + 3x = -x - 6
Put x to one side of the equation. This one will be on the left side. Add x to do so.
-2 + 4x = -6
Isolate x by adding 2.
4x = -4
Divide by 4 to isolate x for the final time.
x = -1
HELP!! Will mark brainliest!! Which of the following will have a remainder of 8 when divided by (x + 1)?
Answers
Answer:
D
Step by step explanation
Use synthetic division to solve. Final ending answer is [tex]3x^{2} +4x-9+\frac{8}{(x+1)}[/tex]
Solve the inequality:
15 ≤ 3 − 2x
Answers
Divide both sides by 2
2.2 Subtract 6 from both sides
x ≤ -6
2.000 X + 12.000 ≤ 0
Answer: x ≤ -6
What is the opposite of 56?What is the value of –(-4)?
Answers
Answer:
-56;+4
Step-by-step explanation:
56 oopposite is -56
-(-4)=+4
Write the sentence as an equation.
251 is equal to m reduced by 119
Answers
Answer: 251=m-119
Step-by-step explanation:
251=m-119 There is nothing to explain.
Rowan and Brody are both solving the equation 4x=12. Rowan is not sure what to do because he does not know a power of 4 that equals 12. Brody uses his calculator to graph y=4xand y=12 and find the point of intersection. Will Brody’s method work?
Answers
Answer:
Yes, the graph intersects around (1.7925,12), so 1.7925 is a good estimate of the solution to 4x=12.
(1st one in TTM)
Answer:
a
Step-by-step explanation:
it was right
Write the fraction in lowest terms.
14/37
Answers
Answer:
14/37
Step-by-step explanation:
14/37 is already in the simplest form. It can be written as 0.378378 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 14 and 37 is 1
Divide both the numerator and denominator by the GCD
14 ÷ 1
37 ÷ 1
Reduced fraction:
14/37
Therefore, 14/37 simplified to lowest terms is 14/37.
Determine if the point (4, -3) is a solution
to the following system:
x - y = 4.
2x + y = 5
Determine if the point (4,-3) is a solution
Answers
please tell fast plzzzzzz
Answers
Answer:
72 degrees
Step-by-step explanation:
let the ratio be 2x and 3x
2x + 3x =180° ( co interior angles )
5x = 180°
x = 180 ÷ 5
x = 36°
And the smaller angle = 2 × 36° = 72°
Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.
116.8 115.7 114.9 115.4 115.9
Required:
a. Calculate the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).
Answers
Answer:
a) The deviations from the mean
|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |
b)
The variance of the sample S² = 0.493
The standard deviation of the sample S =√0.493 = 0.7021
Step-by-step explanation:
Step(i):-
Given that the sample observations
x : 116.8 115.7 114.9 115.4 115.9
Mean of the sample
= ∑ x/n
Mean of sample x⁻ = [tex]\frac{116.8+115.7+114.9+115.4+115.9}{5}[/tex]
Mean of sample x⁻ = 115.74
Step(ii):-
The deviations from the mean
|x-x⁻| : 116.8-115.74 115.7-115.74 114.9-115.74 115.4-115.74 115.9-115.74
|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |
|x-x⁻||²: 1.1236 0.0016 0.7056 0.1156 0.0256
The variance of the given sample observations
S² = ∑ (x-x⁻)² / n-1
[tex]S^{2} = \frac{1.1236+0.0016+0.7056+0.1156+0.0256}{5-1} = 0.493[/tex]
The variance of the sample S² = 0.493
The standard deviation of the sample S =√0.493 = 0.7021
A flower bed has the shape of a rectangle 8 yards long and 3 yards wide. What is its area in square feet?
Answers
Answer:
the answer is 216 square feet because if you multiply 8 ×3=24 and 24×9=216.
When 5 randomly selected people all have the same birth month of March.
Answers
Answer:
I know 4 people that are all really close friends and all have birthdays in march.
Step-by-step explanation:
1. Show that
(10a + 5)^2 = 100a(a + 1) + 25,
for every a real number. How is this formula explaining the rule we have, to square a number
which ends in 5, such as
25^2 = 625, 35^3 = 1225, 105^2 = 11025^2, etc. ?
Answers
Answer:
(10a+5)²= 100 a( a+1) + 25
Step-by-step explanation:
Explanation:-
Given
(10a+5)²
By using (a+b)² = a² +2ab +b²
= (10a)²+ 2 × 10a× 5 + (5)²
= 100a² + 100a + 25
= 100 a( a+1) + 25
17. A cereal company fills every box with 48 ounces of cereal. The company allows
each box of cereal to be within a tolerance of 0.5 ounces. What is an expression
for the actual weight of the boxes?
Answers
Answer:
47.5 ≤ 48 ≥ 48.5
Step-by-step explanation:
Answer:
47.5 < x < 48.5
Step-by-step explanation:
A box can have more than 47.5 ounces and less than 48.5 ounces.
47.5 < x < 48.5
Luis wants to buy a skateboard that usually sells for $79.08. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.75%. Round your intermediate calculations and answer to the nearest cent.
Answers
Answer:
$74.96
Step-by-step explanation:
$79.80 × 0.12 = 9.576 (discount)
$79.80 - $9.576 = $70.224
$70.224 × 0.0675 = 4.74012 (add for sales tax)
$70.224 + $4.74012 = $74.96412
20 POINTS!! WILL GIVE BRAINLY!!
how much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exactly 2 inches?
Answers
Answer:
Hello! :) have a good day!
It would take 784 cm³ of solid iron to make the box.
488 cubic inches of metal is required to cast a cube with outer side 10 inches long if the thickness of its walls should be exactly 2 inches
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
We know the volume of a cuboid is side³.
Given, A cubical metal box with an outer side 10 inches long if the thickness of its walls should be exactly 2 inches.
So, (10 - 2) = 8 inches of the solid cube is hollow.
Therefore, The metal required is a solid cubical box with side of 8 inches subtracted from a solid cubical box with a side of 10 inches which is,
= 10³ - 8³.
= 1000 - 512.
= 488 cubic inches.
learn more about cubes here :
https://brainly.com/question/28134860
#SPJ2
1) A number which has more than two
factors is called a
number.
O a) Prime Number
O b) Smallest Number
O c) Composite Number
O d) Biggest Number
Answers
Answer:
C) Composite Number
Step-by-step explanation:
The composite number is one which has more than two factors.
eg:- 4,6,9,12,15 etc......
hope so it helped you
Write the system of equations in slope intercept form.
Show ALL of your work!
y + 2x = 0
2y = -2 - 6
Answers
y=-4
(x is 2 y is -4)
Find the lateral area of a rectangluar prism with ?
Answers
Answer:
40 Squared units
Step-by-step explanation:
[tex]A=2*2*4+2*2*6=40[/tex]
Interest of 200 million dollars 53% and 22 years will give brainliest to correct answer
Answers
Answer:
$2,313,150,687,166.22 is the interest accrued.
Step-by-step explanation:
Hope this helps
Answer:
$2,313,150,687,166.22 is the interest
Step-by-step explanation:
hope this helps.
Which of the following measures could be used to make triangle?
2,9, 12
4,4,7
3,5,8
Answers
3,5,8. I think.
have a great day :)
Charlotte used a calculator to subtract.
She copied her answers from the display, but her teacher said her answers were wrong! Tell how Charlotte got each wrong answer.
1. 204.59 – 23.67 = 0.92
2. 936.4 – 15.85 = 77.79
3. 56.3 – 27.04 = 19.26
Answers
Answer:
Step-by-step explanation:
1. She omitted the 0 from the minuend, entering 24.59 instead of 204.59
2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4
3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3
You are saving money to buy a new video game. You already have $12, and each week you save another $5. Which expression can you use to represent the money you have after 'w' weeks?
Answers
Answer:yes 12 +5
Step-by-step explanation:Idrk
Answer:
12 + 5
Step-by-step explanation:
Multiply (3x +9)(2x - 5)
Answers
[tex] {6x}^{2} + -15x + 18x -45[/tex]
hope that helped:)
Step-by-step explanation:
=(3x+9)(2x-5)
=3x(2x-5)+9(2x-5)
=6x²-15x+18x-45
=6x²+3x-45
hope it helps.
Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.
Answers
you lose 120 dollars on supplies, and every hotdog you sell you gain 2.50
complete inequality for a graph
Answers
HELP PLEASE!! thanks
Answers
Answer:
352
but for the 3 it would be 264
Let FICA tax rates be 7.65% on the first $127,200 of income from wages, and 1.45% on any income from wages in excess of $127,200. Her FICA tax is?
Answers
Answer:
The tax is split between employers and employees. They both pay 7.65% (6.2% for Social Security and 1.45% for Medicare) of their income to FICA, the combined contribution totaling 15.3%. The maximum taxable earnings for employees as of 2020 is $137,700.
Correct me if you want If its wrong
Round The Following Number: 194,332.125
Answers
Answer:
The answer is 194000
Step-by-step explanation:
It is closer to 194000 than 195000