One of the skylights on the roof of Bianca’s building is in the shape of the solid below.
A rectangular pyramid has a base of 14 inches by 14 inches and a height of 9 inches. A rectangular prism has a length of 14 inches, width of 14 inches, and height of 2 inches.
What is the total volume of air inside the skylight?
392 inches cubed
588 inches cubed
870 inches cubed
980 inches cubed
Answers
Answer:
B. 588 inches cubed.
Step-by-step explanation:
the pyramid base with 2inch height = 392 - 14 x 14 = 196 = 392-196 = 196
the pyramid with 9 inch height = 588.25 = 14 x 14 = 196 the adjoined upper base.
= 588.25 - 196 = 392.25 + 196 = 588^3 (inches cubed ) we only needed one base structure
We check the slant = (1/2)base = 7 then divide 392.25/7 = 56.0357142857/4
Then divide by 4 = 56.0357142857/4 = 14 and we know the slant is also 14.
We can find the isosceles central height and know it will be the smaller measure as it always is, using 14^2 - 7^2 = a^2
= 196sr - 49sr = 47sr
a^2 = √47 = 6.8556546004
So we know the diagram isn't to scale.
The equation of a rectangle pyramid =
A=lw+√l (w2)
2+√ 2+w
(l2)2+√ h2
The base is l*w*h - l*l = 392-196
or l*w + 4* h*w =196
The total volume of air inside the skylight is 980 inches cubed. Option D is correct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The volume of the rectangular pyramid is (1/3) × base area × height = (1/3) × 14² × 9 = 588 cubic inches.
The volume of the rectangular prism is length × width × height = 14 × 14 × 2 = 392 cubic inches.
The total volume of air inside the skylight is the sum of the volumes of the pyramid and prism, which is 588 + 392 = 980 cubic inches.
Therefore, the answer is (D) 588 inches cubed.
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Related Questions
In the diagram below, if
AEB=50°, find the measure of
AED.
Answers
Answer: 130ᴼ
Step-by-step explanation:
BD is a straight line so AEB and AED add to equal 180ᴼ
180 - 50 = 130
Answer:
AED = 130
Step-by-step explanation:
AEB and AED form a straight line so they add to 180 degrees
AEB + AED = 180
50 + AED = 180
Subtract 50 from each side
AED = 180-50
AED = 130
NEED ANSWER ASAP. WILL MARK THE BRAINLIEST
Use the function below to find f(2)
f(x)=1/3x4^x
Answers
Answer:32/3
Step-by-step explanation:
1/3(2)4^2
1/3(2)(4^2)
2/3(16)
32/2
Answer:
f(2)=16/3
Step-by-step explanation:
f(2)=1/3 (4^2)
f(2)=1/3(16)
f(2)=16/3
Can someone help me with these two questions?
Answers
Answer:
17) A(-1,1) B(-1,4) C(5,1)
18) (From origin moving rightwards)
A(0,0) B(a, 0) C(a,a) D(0,a)
Step-by-step explanation:
17) You just count the steps, how many steps left, right, up, or down
18) The first point is at the origin, so 0,0
The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.
The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.
The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.
HELLO, I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answers
Answer:
-1(2+x)
Step-by-step explanation:
in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x
Answer:
(-1)·2+(-1)·ₓ = -1 (2+x)
Step-by-step explanation:
distributive property: ab +ac = a(b+c)
in this case a=-1, b =2, c =x so
(-1)·2+(-1)·ₓ = -1 (2+x)
What is 4.5 x 10 to the power of -6 in standard notation?
Answers
Answer:
0.0000045
Step-by-step explanation:
Answer:
.0000045*10 6 power
Step-by-step explanation:
Move decimal point 6 spaces left *10
What is the solution to the system of equations graphed below? (0, 4) (1, 3) (3, 1) (4, 0)
Answers
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines
it aint the ans but Atleast u can find it
Answer:
(-2, 4) and (4, -3)
Step-by-step explanation:
if it’s the one I think it is, then they intersect at 4 and -3 the other numbers are just background noise tbh bc this was the only choice with 4 and -3
What is the volume of a figure with that is 6 inches wide, 3 inches tall and 4 inches long?
Answers
Answer:
6*3*4 = 24*3 = 72 in^3
Answer:
72 cubic inches
Steps:
6*3*4 = 72
Description:
So its asking what is the volume. We know that we need to multiply. SO we get all the numbers from the question that is 6, 3 and 4. Multiply 6 times 3 times 4. You will get the answer that is 72.
Answer: 72 cubic inches
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Hope this helps.
What is the vertex of the quadratic function below?
y = 3x2 - 12x+17
Answers
Answer:
D (2, 5)
Step-by-step explanation:
To find the vertex of the quadratic function , we will follow the steps below
(x,y) = [-b/2a , f(-b/2a)]
x = -b /2a y = f(-b/2a)
The standard equation of a quadratic equation is y =ax² + bx + c
compare the above with the equation given, y = 3x² - 12x + 17
a = 3 b= -12 and c= 17
x = -b/2a
x = -(-12)/2(3)
x = 12/6
x = 2
y = f(-b/2a)
y = f (-b/2a) = f(x) = f (2)
y = f(x) =3x² - 12x + 17
To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;
f(2) = 3(2)² - 12(2) + 17
f(2) =12-24 + 17
f(2) =5
x = 2 and y = 5
(x,y) = (2, 5)
Identify the parts of the expression. Then write a word expression for the numerical or algebraic expression.
Please Help!!!! Due in 30 minutes!
Answers
Answer:
17.3
Step-by-step explanation:
1.5×6+8.3
=9.0+8.3
=17.3
hope it helps
which inequality is represented by this graph? (0,1) (3,0)
Answers
Answer:
y ≤ -1/3x +1
Step-by-step explanation:
We have a solid line so the inequality has an equals sign.
The graph is shaded underneath so y is less than or equal to
y ≤ -1/3x +1
Answer:
Y<-1/3x+1
Step-by-step explanation:
The line passing through the points is highlighted making it equal to and what makes it less than is that it's shaded on the lower side of the line
Which expression represents the product of 25 and 9 divided by 52
Answers
Answer:
(25*9)/52
Step-by-step explanation:
Answer:
225/9
Step-by-step explanation:
Product of 25 and 9
------------------------------ = 225/52
52'
When you are given answer choices, please share them. Thanks.
PLEASE HELP! SEE ATTACHMENT
it's algebra graphing
Answers
Answer:
a- g(x)= 4/5 x -3
b- slope is 4/5
c- vertical intercept is y= -3 when x=0
Step-by-step explanation:
Vertical compression : 4/5 f(x)
shift left you add f(x) +1
shift down you subtract : f(x)-1
the result is g(x) = 4/5 f(x) +1-4
what is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.
Answers
Answer:
Step-by-step explanation:
r = 8 in
h = 5 in
Volume of cylinder = πr²h
= π * 8 * 8* 5
= 320π in³
Answer:
v=hpir^2
h=5
r=8
v=5pi8^2
v=5pi64
v=320pi cubic inches
Step-by-step explanation:
A teacher purchased 1 foot long sub to share amongst a group of 4 students. But decided to eat half of it. After dividing the rest of the sub into equal parts how much of a sub will each student recive?
Answers
Answer:
1/8th
Step-by-step explanation:
Answer:
1/8 of the sub or 1.5 inches
Step-by-step explanation:
One foot=12 inches, but the teacher eats half, so we are left with only six inches. then, divide the six inches with the number of students, which is 4. if you divide 12 and 1.5, you'll see that there are a total of 8 pieces, so one student gets 1 out of the 8
Which transformation does not match blue figure to the red flag
Answers
Answer:
the second one trust me
Step-by-step explanation:
(23+8x-x²)+(x³+x²+34-18x)
Answers
Answer:
x^3 -10x + 57
Step-by-step explanation:
At 7pm, the temperature outside was -5 degree celsius. What does |-5| represent in this situation?
Answers
The number of degrees between 0 and -5 C
Step-by-step explanation:
Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.
Step-by-step explanation:
|-5| who’s absolute value is 5 is representing temp form 0 to -5
What is Temperature ?Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius
What is modulus?The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.
According to question
At 7pm, the temperature outside was -5
And |-5| = 5 (which is absolute value)
And represent count of temp from 0 to -5 .
Hence, |-5| who’s absolute value is 5 is representing temp form 0 to -5
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60 miles/1 hour * 5380/1 mile * 1 hour/60 min * 1 min/60 seconds
Answers
Answer:
Don't understand this
Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?
х
2
4
6
10
60
y
12.
24
36
V
37
42
0 0 0 0
48
54
Answers
Answer:
y = 42
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use an ordered pair from the table.
Using x = 2 when y = 12, then
12 = 2k ( divide both sides by 2 )
6 = k
y = 6x ← equation of variation
When x = 7, then
y = 6 × 7 = 42
Answer:
42
Step-by-step explanation:
just took the quiz and got it right
I don’t need you to explain just answer.
Answers
Y-intercept:
To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.
Slope:
To find the slope of the line, use the equation:
(y₂ - y₁)/(x₂ - x₁)
where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.
Equation:
y = (y-intercept) + x(slope)
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match the given areas with the correct figure. all areas have been rounded to the nearest whole number. (zoom in to see answers)
Answers
Hope you find the answers correct
Sorry you will find it really small please zoom in to see the answer to this question
Sorry for the inconvenience about the small answers
Allie and Samuel are rock climbing
*Allie climbs 5 1/2 meters in the first 1/4 hour.
*Samual climbs 14 1/4 meters in the first 3/4 hour.
each person's rate stays the same for the first hour they climb.
Part A
Which statements are true?
Select all that are Correct.
A. Samuel climbs at a rate of 19 hours per hour
B. Allie takes 1/22 of an hour to climb one meter.
C. Allie climbs at a rate of 1/22 meter per hour
D. Samuel climbs at a rate of 1/19 meter per hour
E. Samuel takes 1/19 of an hour to climb one meter
Answers
Answer:
A and E
Step-by-step explanation: I done this before
The statements that are true are:
Allie takes 1/22 of an hour to climb one meter.
Samuel takes 1/19 of an hour to climb one meter.
Options B and E are correct.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numberator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
For Allie.
She climbs 5(1/2) meters in 1/4 hour.
This means,
11/2 meters = 1/4 hour
22 meters = one hour
Rate = 22 meters per hour.
We can also say,
To climb one meter, she takes 1/22 of an hour.
For Samuel.
He climbs 14(1/4) meters in 3/4 hour,
This means,
57/4 meters = 3/4 hour
19 meters = one hour
Rate = 19 meters per hour.
We can also say,
To climb one meter, he takes 1/19 of an hour.
Thus,
Allie takes 1/22 of an hour to climb one meter is true.
Samuel takes 1/19 of an hour to climb one meter is true.
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What is the approximate circumference of the circle shown below
Answers
If we’re doing the same homework, I’d say 129 cm? But I don’t know what the question is without a picture. Sorry!
Multiply. Your answer should be a monomial in standard form. {(-t^7)(-t^5)}
Answers
Answer:
t^12
Step-by-step explanation:
Because both multiplicands are negative, their product will be positive. Both multiplicands are to the same base: t.
Therefore, the product is t^(7 + 5), or t^12.
In Macy’s, a coat has a regular price of x dollars. During a sale, the price of the coat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the coat. Which expression also describes the discounted price, in dollars, of the coat?
plz help me
Answers
Answer:
(1-20%)x or (1-0.2)x or x-0.2x
Step-by-step explanation:
Which formula could be used to find the volume of a cube with side length equal to s?
s cubed
(6) (s squared)
s squared
(6) (s cubed)
QUESTION 4
Answers
Answer:
s cubed
Step-by-step explanation:
bc volume is length times width times height so it would be s times s times s which is s cubed
Answer: the awnser is a the guy on top or bottem is corect!!!!!!!!!!!!!!!
Step-by-step explanation:
STAY SAFE OUT THERE PLEASEWhen Grace runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 2 seconds. What percentage of races will her finishing time be faster than 79 seconds, to the nearest tenth?
Answers
Answer:
0.07
Step-by-step explanation:
please help! will give brainliest answer!
find x.
a. 2√3
b. 4√3
c. 8√3
d. 8
Answers
Answer:
d. 8
Step-by-step explanation:
sin(α) = opposite/hypotenuse
sin(30°) = 4/x
x = 4/sin(30°) = 4/(1/2) = 8
Size
Small
Medium
Large
Cost
$2.25
$2.50
$2.75
The table above shows the cost of drinks at
Lydia's Lemonade Stand. If the store make $250
on a certain day and twice as many medium
sized drinks as either small or large sized drinks,
how many large sized drinks did the store sell?
E. 15
F. 20
G. 25
H. 50
Answers
Hope this helps|
pls help help me need help!!
Answers
Answer:
50 feet
Step-by-step explanation:
[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]
Hope this helps!
Answer:
50
Because you just a
on the -20 is a abouloute number which its going to be a postive number so i add the 20 + 30