A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?
Answers
The image showing the dimensions of the truck in question is missing, so i have attached it.
Answer:
Max amount of cargo that can fit in new truck = 756.39 cu.ft
Step-by-step explanation:
From the diagram attached, we can see that the delivery truck is in the form of a cuboid.
So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.
This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.
For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".
Converting the dimensions to inches, we know that, 1 ft = 12 inches
Thus;
6' 6" = (6 × 12) + 6 = 78"
7' 8" = (7 × 12) + 6 = 90"
14' 3" = (14 × 12) + 6 = 174"
Thus, volume of cuboid = Length x width x height
Thus, volume of cuboid 1 is;
V1 = 78 × 90 × 174 = 1221480 cu.inches
Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".
To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"
So Converting these to inches gives;
7' 8" = (7 × 12) + 8 = 92"
2' 7" = (2 × 12) + 7 = 31"
2' 6" = (2 × 12) + 6 = 30"
Volume of cuboid 2 is;
V2 = 92 × 31 × 30 = 85560 cu.inches
Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches
Now, converting cu.inches to cu.ft, we know that;
1 cu.inches = 1/1728 cu.ft
Thus;
1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft
Related Questions
Point A is at (-6,8) and Point B is at (0,0.5) pint M is at the midpoint of point A and B
Answers
Answer:
Midpoint = (-3, 4.25)
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-6,\:8\right),\:\left(x_2,\:y_2\right)=\left(0,\:0.5\right)\\\\=\left(\frac{0-6}{2},\:\frac{0.5+8}{2}\right)\\\\= (\frac{-6}{2} , \frac{8.5}{2} )\\\\Simplify\\\\=\left(-3,\:4.25\right)[/tex]
Convert the following:
4 quarts is equivalent to
0 liters (rounded to the hundredth)
Answers
Answer:
3.79 liters
Step-by-step explanation:
2 quarts equals 1.89 so 2×2 = 3.79
Simplify the expression: 5^2 - 3 * 6 A)7 B)24 C)132 D)144
Answers
Answer:
7
Step-by-step explanation:
5^2 = 5 x 5 = 25
3 x 6 is 18
25 - 18 is 7
also, use PEMDAS
Answer:
The answer is 7.
5^2-3×6.
25-18=7.
Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points? Move up one and right one and one-half. Move up one and one-half and right three. Move up two and right three. Move up one-half and right two
Answers
Answer:
Move up one half and right two.
Step-by-step explanation:
trust
Answer:
move on up one and right two
Step-by-step explanation:
Explain how to use friendly percents to find 35% of 80
Answers
Answer:
You can use friendly percents to find 35% of 80 by writing 35% as 25% + 10%. 25% of 80 is 80 divided by 4, which is 20. 10% of 80 is 80 divided by 10, which is 8. 20 + 8 = 28. So 35% of 80 is 28.
Step-by-step explanation:
I just did the test!!! And plus its a sample answer !!!
convert 18 celsius to Fahrenheit
Answers
Answer:
It's 64 degrees
Step-by-step explanation:
multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature
Question 3 (5 points)
(-1) + 5 -(-6) - 5 =
A) -3
B) 0
C) 5
D) -2.
Answers
Answer:
5
Step-by-step explanation:
-1+5+6-5
-1-5+5+6
-6+11
5
What is an algebraic expression for each word phrase? a. 11 more than twice a number x b. 2 less than the quotient of 5 and a number x c. The product of 4 and the sum of a number x and 8
Answers
Answer:
a.) 11>2x.
b.) 2<5÷x.
c.) 4(x+8).
The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).
How to convert the sentence into an expression?The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
Convert all the word phrases into an algebraic expression. Then we have
a. 11 more than twice a number x. Then we have
⇒ 2x + 11
b. 2 less than the quotient of 5 and a number x. Then we have
⇒ 5/x - 2
c. The product of 4 and the sum of a number x and 8. Then we have
⇒ 4(x + 8)
The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).
More about the conversion of sentences into equation link is given below.
https://brainly.com/question/10606712
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What is the area of 6 ft and 5 ft
Answers
Answer:
15
Step-by-step explanation:
[tex]( \frac{1}{2} {a}^{2} + \frac{1}{2} ab - {b}^{2} )[/tex]
Answers
Answer:
[tex]\frac{1}{2}[/tex] (a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² ← factor out [tex]\frac{1}{2}[/tex] from each term
= [tex]\frac{1}{2}[/tex] (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² = [tex]\frac{1}{2}[/tex](a + 2b)(a - b)
A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help
Answers
Answer:
Top right.
Step-by-step explanation:
So we want a line with a slope of 3 and passes through (2,5).
To do so, we can use the point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
m is the slope and x₁ and y₁ is an ordered pair.
Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:
[tex]y-5=3(x-2)[/tex]
Our answer is the top right :)
Answer:
Answer:
Top right.
Step-by-step explanation:
So we want a line with a slope of 3 and passes through (2,5).
To do so, we can use the point-slope form.
The point-slope form is:
m is the slope and x₁ and y₁ is an ordered pair.
Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:
Our answer is the top right :)
Step-by-step explanation:
Can you help me out?
Answers
Answer:
Eight X plus sixty equals one hundred fifty-six
Match each pair of points with the approximate distance between them. Round your answer to the nearest tenth. Answers: 7.07, 5.1, 2, 2.83, 5.39, 13.15, 12.5 What to match them to: (3,-1) and (5,4), (2,3) and (4,5), (-5,7) and (8,5), (-2,4) and (3,-1)
Answers
(3, -1) -> (5, 4) = 5.38516 or 5.39 units
(2, 3) -> (4, 5) = 2.82843 or 2.83 units
(-5, 7) -> (8, 5) = 13.1529 or 13.15 units
(-2, 4) -> (3, -1) = 7.07107 or 7.07 units
The correct matching of the pair of points and the distance between them would be:
(3, -1) → (5, 4) = 5.39 units(2, 3) → (4, 5) = 2.83 units(-5, 7) → (8, 5) = 13.15 units(-2, 4) → (3, -1) = 7.07 unitsHow to find the distance ?The distance between two points in a 2-dimensional Cartesian plane is given by the Euclidean distance formula, which is a direct application of Pythagoras' theorem.
The distance between the points are therefore:
(3,-1) and (5,4):
Distance = √[(5 - 3)² + (4 - (-1))²] = √[(2)² + (5)²]
= √[4 + 25] = √[29]
= 5.39
(2,3) and (4,5):
Distance = √[(4 - 2)² + (5 - 3)²] = √[(2)² + (2)²]
= √[4 + 4] = √[8]
= 2.83
(-5,7) and (8,5):
Distance = √[(8 - (-5))² + (5 - 7)²] = √[(13)² + (-2)²]
= √[169 + 4] = √[173]
= 13.15
(-2,4) and (3,-1):
Distance = √[(3 - (-2))² + ((-1) - 4)²] = √[(5)² + (-5)²]
= √[25 + 25]
= √[50]
= 7.07
Find out more on distance at https://brainly.com/question/7243416
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Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions. This question I found was particularly interesting and I am close to figuring it out but i keep getting stuck. Would anyone like to explain how this works and how to solve it?
Answers
Answer:
Step-by-step explanation:
Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.
Then I think one side of the square would be cos π/6 - sin π/6.
So I think the required volume can be worked out as area of base * length of a side of the square.
I think that,s the way to do it, if i have interpreted the question correctly.
Write the possible range of each measurement to the nearest tenth. Include unit measure. Round to the tenths place.
60 m ± 4.5%
__?__ - __?__
Answers
Answer:
60.0m≤60.1mStep-by-step explanation:
Given the interval for the measurement to be 60 m ± 4.5%, the posible range of each measurement is expressed as shown;
60 m ± 4.5% = 60 m ± 4.5/100
= 60 m ± 0.045
= (60 - 0.045, 60+0.045)
= (59.955, 60.045)
Hence possible range of each measurement to the nearest tenth is (60.0m≤60.1m)
9 is 15% of what amount?
Answers
Answer:
0.9 is 15% of 6
work:
0.15 x 6 = 0.9
Hope this helps!
why isn’t 3/4 a integer? answer asap pls
Answers
Answer: integer's are whole numbers so a fraction,decimal and negitive numbers aren't integer's
Step-by-step explanation:
Probe that:
[tex] \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1[/tex]
Answers
Step-by-step explanation:
[tex] \sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1[/tex]Prove the LHS
Using trigonometric identities
That's
[tex] \cos ^{2} \alpha = 1 - \sin^{2} \alpha [/tex]Rewrite the expression
We have
[tex] \sec \alpha \sqrt{ \cos^{2} \alpha } [/tex][tex] \sqrt{ { \cos }^{2} \alpha } = \cos \alpha[/tex]So we have
[tex] \sec \alpha \times \cos \alpha [/tex]Using trigonometric identities
[tex] \sec \alpha = \frac{1}{ \cos \alpha } [/tex]Rewrite the expression
That's
[tex] \frac{1}{\cos \alpha } \times \cos \alpha [/tex]Reduce the expression with cos a
We have the final answer as
1As proven
Hope this helps you
Which expression is not equivalent to a ∙ c ∙ 5 ∙ 5? 1. 10ac 2. 25ca 3. 25ac
Answers
Answer:
3. 25ac
Step-by-step explanation:
[tex]a\cdot c\cdot \:5\cdot \:5\\=25ac[/tex]
∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]
Step-by-step explanation:
Given, < 2 = 105°
To find : < 1
When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.
So,
<1 = 105 °
Hope I helped!
Best regards!
Answer:
[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]
Step-by-step explanation:
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.
[tex]\angle 2= 105 \°[/tex]
Vertical angles are equal in measure.
[tex]\angle 1= \angle 2[/tex]
[tex]\angle 1= 105 \°[/tex]
At what speed does the pitcher's arm rotation in degrees-s?
Answers
Answer:
7000 degrees per sec
Step-by-step explanation:
If the arm goes 7 degrees per ms to get how many degrees it goes per sec, just multiply by 1000.
I plugged in 4 for the derivative function but I’m getting the wrong answer?
Answers
Answer:
8.6615988
Step-by-step explanation:
f(x) = 3 sin (x) / ( 1 + cos x)
To find the derivative bottom * d/ dx top - top d/dx bottom all over the bottom squared
d/dx = 3 ( ( 1 + cos x) cos x - sin x( - sin x)) / ( 1 + cos x) ^2
= 3 ( cos x + cos ^2 x + sin ^2 x) / ( 1 + cos x) ^2
= 3 ( 1 + cos x) / ( 1 + cos x) ^2
= 3 / ( 1 + cos x)
Let x = 4
3 / ( 1 + cos 4)
Assuming x is in radians
3/.346356
8.6615988
what is 1/8(3d-12)=1/4(d+5)
Answers
Answer:
d=22
Step-by-step explanation:
d= 22
p = q/4 -r solve for q
Answers
Answer:
4(p+r) = q
Step-by-step explanation:
p = q/4 -r
Add r to each side
p+r = q/4 -r+r
p+r = q/4
Multiply each side by 4
4(p+r) = q/4*4
4(p+r) = q
Please answer these questions and the photo is above and please show the simple work
Answers
I'm not going to answer the questions for you. Instead I will give you stuff taht will help you solve the problems.
A negative divided/multiplied by another negative will be positive
A negative divided/multiplied by a positive will be negative
Good luck with your math hw! If you need more help, just comment!
5. Find the point X on CF that is of the distance from C to F. C is -4 F is 5 -7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 A) -2.2 B) 0.5 C) -1.8 D) -3
Answers
Correct Question: Find the point X on CF that is ⅕ of the distance from C to F.
*See attachment below for the numberline.
Answer:
A.) -2.2
Step-by-step explanation:
Given that C on the numberline = -4,
F on the numberline = 5
The distance from point C (-4) to point F (5) = |-4 - 5| = |-9| = 9
We are told that point X on CF, = ⅕ of the distance from point C to F. That is, X on the numberline is ⅕ of 9 = ⅕*9
⅕*9 = 9/5 = 1.8
This means, the coordinate of point X, from point C = coordinate of C + 1.8 = -4 + 1.8 = -2.2.
Therefore, the coordinate of X that is ⅕ of the distance from point C to F is -2.2.
Can anyone find the slope of this line (lots of points reward)
Answers
Answer:
(-5,1)
Step-by-step explanation:
i dont really know but might be right
Answer:
-1/2
Step-by-step explanation:
Find two points on the line
(0,-5) and (2,-6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (-6 - -5)/( 2-0)
( -6+5)/( 2)
-1/2
The mapping diagram shows a functional relationship Complete the statements f(4) is Domain Range f(x) = 4 when x is.
Answers
Answer:
f(4) is 1/2
f(x)= 4 when x is 8
The complete statements would be as:
function f(4) is 1/2 and function f(x) = 4 when domain x is 8.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the mapping diagram shows a functional relationship.
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
As per the given functional relationship,
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
Hence, the complete statements would be as:
f(4) is 1/2 and f(x) = 4 when x is 8.
Learn more about the domain and the range here:
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2d - 15 =3 pls answer ASAP and with corrections
Answers
Answer: d=9
Step-by-step explanation:
2d -15 = 3 Add 15 to both sides
+ 15 +15
2d = 18 Divide both sides by 2
d = 9
Answer:
d=9
Step-by-step explanation:
collecting like terms
2d=3+15
2d=18
d= 9
Tim's phone service charges $27.22 plus an additional $0.15 for each text message sent per month. If Tim's phone bill was $30.97, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.15x + $27.22 = $30.97 B. $27.22x - $0.15 = $30.97 C. $27.22x + $0.15 = $30.97
Answers
Answer:
A) $27.22 + $0.15x = $30.97
Step-by-step explanation:
Answer:
The answer would be A. $0.15x + $27.22 = $30.97
Step-by-step explanation: