Answers
Answer:
(B). 38 cm³
Step-by-step explanation:
V = a² [tex]\frac{h}{3}[/tex]
a = 4.5 cm
h² = (6.1)² - ( [tex]\frac{4.5}{2}[/tex] )² = 32.1475
h = √32.1475 ≈ 5.67
V = (4.5)²( [tex]\frac{\sqrt{32.1475} }{3}[/tex] ) ≈ 38.27 ≈ 38 cm³
Answer:
[tex]38 cm^3[/tex]
Step-by-step explanation:
Given the slant height and a base side length of a right square pyramid, we can use these numbers to solve for the volume.
The formula for the volume of a square pyramid is generally known as:
[tex]V = 1/3 a^2h[/tex], where the variable 'a' represents the base side length and 'h' represents the height.
Since we are given the slant height, we can use Pythagorean's Theorem to calculate the height (non-slanted) when given a base side length by using the equation below:
[tex]a^2+b^2=c^2[/tex]
This is a special case because this is a right square pyramid, meaning we can use C squared and substitute that for the given slant height, 6.1 cm. The leg of the right triangle, which is [tex]\frac{s}{2}[/tex], takes place of 'b' which is 4.5. Now, given all of this, we can plug in our known values. Height is what we are solving.
[tex]h^2+\left(\frac{4.5}{2}\right)^2=6.1^2[/tex]
Now we will simplify and solve everything, and we get h; or the height, which equals 5.668977.
Now we can finally use the general formula to solve the volume of a square pyramid.
[tex]V = 1/3 a^2h[/tex]
Let's plug in everything now to find the volume — which we know that the height is approximately 5.66, and the base side length is 4.5.
[tex]V=\frac{1}{3}\left(4.5\right)^2\left(5.66\right)[/tex]
The volume from this formula equates to 38.205 cm³, or roughly 38 cm³, meaning the answer is B.
Related Questions
What is an equation of the line that passes through the points (-4,-1) and (2, 8)?
Answers
Answer: y=(3)/(2)x+5
Step-by-step explanation:
Triangles 1 and 2 are both isosceles. They each have a 30 degree angle. Explain why these triangles don't have to be similar to each other.
Answers
Step-by-step explanation:
Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.
Since they do not have all 3 congruent angles, they are not similar.
When Keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. In the diagram below, she used x to represent the length, in feet, of the gate.
.
What is the value of x, if the equation 2(x + 60) + 2(30) = 200 represents the Perimeter for the fencing of the backyard?
Answers
Answer:
Step-by-step explanation:
From the picture attached, equation of the perimeter of the fence of the backyard should be,
(x + 60) + (60) + 2(30) = 200
x + 2(60) + 2(30) = 200
x + 120 + 60 = 200
x + 180 = 200
x = 200 - 180
x = 20 ft
If the given equation for the perimeter for the fencing of the backyard (As given in the question) is,
2(x + 60) + 2(30) = 200
2x + 120 + 60 = 200
2x + 180 = 200
2x = 20
x = 10 ft
Answer:
2(x + 60) + 2(30) = 200
2x + 120 + 60 = 200
2x + 180 = 200
2x = 20
x = 10 ft
Help me. I need help
Answers
Answer:
i cant read that
Step-by-step explanation:
Divide.
2/3÷4/5 please help!!!
Answers
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5
~Copy Dot Flip
2/3 * 5/4
~Multiply
10/12
~Simplify
5/6
Best of Luck!
Answer:
5/6
Step-by-step explanation:
Keep Change Flip
2/3 x 5/4 = 10/12
10/12 simplifies to 5/6
I need help with this question in Geometry.
Answers
Answer:
846 in
Step-by-step explanation:
48*15+21*6
720+126=846
Answer:
846 square inches.
Step-by-step explanation:
All you have to do is find the area of the net for the seat back.
Bottom and Top
L = 21 + 3 + 21 + 3 = 48
W = 15
Area
Area = L * w
Area = 48 * 15
Area = 720
Area of the 2 sides .
L = 21
w = 3
Area =2 * L * w There are 2 of them
Area = 21*3 * 2 126
Total 846
How many real and imaginary roots are there?
Answers
Answer:
5
Step-by-step explanation:
A cylindrical water vessel of diameter 1.4 m holds 770 litres of water. find the height of the vassel
Answers
Answer:
Answer at the bottom!!
Step-by-step explanation:
Given the diameter of cylinder = 1.4 m
=> Radius = 1.4/2 = 0.7 m
We know that volume of a cylinder = πr²h
= 3.14 x 0.7² x 2.1= 3.23 m³
For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m
water flows at a rate of 2 m per second
So, volume of water discharged in one second by pipe = πr²L
= 3.14 x 0.0175² x 2=0.0019
Hence time taken by the pipe to fill the cylinder
= 3.23/0.0019= 1700 sec
= 28 minutes and 20 seconds
Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.
Hope this helps!!
Select all of the points that are in the solution set graphed below.
Answers
the horizontal line is the x-axis and the points are written by (x,y) so the x is the first number written
we can check that 2,4 is a point on the line by finding 2,4 on the graph. once we find it, we see it coincides with the line as does 7,1
(this is just an explanation in case u want to understand why)
hep asap! i will mark you brainliest
Answers
Answer:
The second box for b will be 7
Step-by-step explanation:
If c = 10 , b = 5
If c = 14 , b = 7
If c = 18 , b = 9
If c = 22 , b = 11
If c = 26 , b = 13
Answer:
7
Step-by-step explanation:
I know
Will be mark brainless
The number of hours that 20 people spent watching television per day, in relation to age, is graphed. This quadratic equation represents the
model for the set of data.
y = 0.00412 - 0.3141 +7.5
Based on the model, approximately how much time does an 18-year-old spend watching television each day?
A. 2 hours
B. 0.5 hour
C. 7.5 hours
D. 3 hours
Answers
Answer:
D. 3 hours
Step-by-step explanation:
whats the answer?!?!?
Answers
Answer:
3 + 5 + 7
Step-by-step explanation:
In addition it does not matter what order the numbers are in.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+218x+75
Answers
Answer:
6.81s
Step-by-step explanation:
First you must know that the velocity of the body is zero at the maximum height.
v =dy/dx
v= -32x+218
Since v = 0
-32x+218 =0
32x =218
x= 218/32
x = 6.81s
Hence the rocket reaches its maximum height after 6.81s
Answer i got it wrong it was 5.94
Step-by-step explanation:
IM LITTERLY ON A MEET whats 4.01 in word form? Mixed number form?
Answers
Answer:
Four and one hundreds
Step-by-step explanation:
Answer:
word form: four and one hundredth
mixed number: 4[tex]\frac{1}{100}[/tex]
Step-by-step explanation:
four and one hundredth
4[tex]\frac{1}{100}[/tex]
A CD that has a regular price of $15.50 is on sale at a 25% discount. What is the sale price with a 7% sales tax? Round to the nearest cent.
Answers
Answer:
The answer should be $12.43
pythagorean theorem
find a third side in the simplest radical form:)
will give brainist and 20 points:)
Answers
I think since a^2+b^2=c^2
Answer:
well for me
Step-by-step explanation:
hypotenus square=opposite square+adjacent square
H^2=O^2+A^2
H^2=3^2+9^2
H^2=9+81
H^2=90
H=✓90
H=9.487
H=9.5
Which of the following is the position of median? *
(N+1)/4 item
3(N+1)/4 item
3(N+1)/2 item
(N+1)/2 item
Answers
Answer:
(N+1)/2 item
Step-by-step explanation:
(N+1)/2 item is the correct answer.
A 3-gallon container of window cleaner costs $23.88. What is the price per quart?
Answers
Answer:
i think its 1.99
Step-by-step explanation:
Answer: $1.99
Step-by-step explanation:
One gallon is 4 quarts. 23.88/3 is 7.96. Each gallon is $7.96. Since there are 4 quarts in a gallon, 7.96/4 is 1.99. Each quart is $1.99
Cantidad separada por un punto
Answers
Answer:
de qye hablas xd
Step-by-step explanation:
cual es la pregunta.?
Answer:
las opciones?
Step-by-step explanation:
the options?
Hi I need to figure if this is a function?
Answers
Answer:
no it is not a function
Step-by-step explanation:
function- for every input there is only one output
(1,7),(2,13),(3,13) it has two 13 so it is not a function
Anyone good at math? will give brainlest to correct
A product goes from $25 to $27 in price.
The product has a percent increase of _____.
Answers
Answer:
8%
Step-by-step explanation:
27 - 25 = 2
2/25 x 100 = 8%
8% increase
answer is 8%
Answer:
8%
Step-by-step explanation:
2/25 is equal to 8/100 so therefore it is 8%
laura graphed the function below y = 1 / 2(One over two)x + 4
if the range of the function is restricted to 2 ≤ y ≤ 6, what is the domain?
Answers
Step-by-step explanation:
y = 0.5x + 4
When y = 2, x = -4. (shown in graph)
When y = 6, x = 4. (shown in graph)
Hence the domain would be -4 <= x <= 4.
EEEEeee Can someone help?
Answers
Answer:
5.61 billion dollars.
Step-by-step explanation:
4.61+1.03=5.61
Answer:
0.223
Step-by-step explanation:
Change the divisor 4.61 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
We then have the equations:
103 ÷ 461 = 0.223
and therefore:
1.03 ÷ 4.61 = 0.223
Both calculated to 3 decimal places.
8h-19 for h=4 please help me I need help !?
Answers
Answer:
13
Step-by-step explanation:
you have to do 8 times 4 minus 19
hope this helps dont 4get to like and star
-mercury
Answer:
13
Step-by-step explanation:
Given
8h - 19 ← substitute h = 4 into the expression
= 8(4) - 19
= 32 - 19
= 13
pleasee help i put it as 24 points and I will mark brainliest thank you
Answers
Hope this helps
Have a happy holidays
Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny
Answers
Answer:
hi
Step-by-step explanation:
=================================================
Explanation:
x = price of camera before tax
1.07x = price of camera after tax
note how 1.07 is the result of 1 + 0.07
1 = 100%
0.07 = 7%
1.07 = 107%
So 1.07 means the price has gone up by 7%
Set 1.07x equal to 45 and solve for x
1.07x = 45
x = 45/1.07
x = 42.0560747663551
x = 42.06
The highest price Eddie can afford is $42.06, which is the value of the camera before tax is applied
--------------------
note how 7% of 42.06 = 0.07*42.06 = 2.9442 = 2.94
So the tax is $2.94 which adds onto the $42.06 to get
2.94+42.06 = 45
The largest ball of yarn ever created has a radius of 6 feet. It took 30 years to create.
Using 3.14 for pi which choice is the volume of the ball of yarn nearest hundred
87.85 cubic feet
150.72 cubic feet
834.68 square feet
904.32 cubic feet
Answers
Answer:
904.32 cubic ft
Step-by-step explanation:
To find the volume of a sphere, the formula is [tex]4\pi\frac{r^3}{3}[/tex]
First, 3.14 * 4 for 12.56.
The radius is 6, and that cubed is 216.
After that, divide 216 by 3 for 72
Then, 12.56 times 72, which gets you the final answer of 904.32 cubic ft.
(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)
720 + 144 = 864
864 + 36 = 900
900 + 4.32 = 904.32
Your answer is D, I took the test.
help plz i’ll give extra points
Answers
Answer:
240
Step-by-step explanation:
240 + 60 = 300 you can tell this by realising that ratio to have 4x one over the other would be 20 per 100, using this rate 3x, 240 and 60
Answer:
x = 60
Step-by-step explanation:
Length of small piece = x
length of large piece = 4x
x+ 4x = 300
5x = 300
x = 60
Can someone draw like how to divide 12/5
Answers
Answer:
12 divide by 5 is easy lemme show you
Step-by-step explanation:
The stuff on the left
Please Help Me with this one too
Answers
Answer:
The second one
Step-by-step explanation:
0.5 times 5 is 2.5
2.5 plus 14 is 16.5
0.5 times 10 is 5
5 plus 14 is 19
And so on