Answer:
volume = 13500 [tex]cm^{3}[/tex]
Step-by-step explanation:
For a given pyramid, its volume can be determined by:
volume of pyramid = [tex]\frac{lwh}{3}[/tex]
Where: l is the base length, w is the base width and h id the height of the pyramid.
For the given question, l 30 cm, w = 30 cm and h = 45 cm.
So that,
volume = [tex]\frac{30*30*45}{3}[/tex]
= [tex]\frac{40500}{3}[/tex]
= 13500
volume = 13500 [tex]cm^{3}[/tex]
The volume of the pyramid is 13500 [tex]cm^{3}[/tex].
The volume of the square-based pyramid is [tex]13500cm^3[/tex]
The volume of a pyramid is given by
[tex]V=\dfrac{Ah}{3}[/tex]
where
[tex]A=\text{area of the square base}\\h=\text{perpendicular height}[/tex]
The area of the square base, [tex]A[/tex], is calculated as follows
[tex]A=side^2\\=(30cm)^2\\=900cm^2[/tex]
substitute the value of [tex]A[/tex], and [tex]h[/tex] ([tex]45cm[/tex]) into the volume formula to calculate the pyramid's volume
[tex]V=\dfrac{Ah}{3}\\\\=\dfrac{900\times 45}{3}\\\\=13500cm^3[/tex]
Therefore, the volume of the pyramid is [tex]13500cm^3[/tex]
Learn more about volume of pyramids here: https://brainly.com/question/1260835
HELP I WILL GIVE YOU 20 POINTS
In the diagram below AB is parallel to CD what is the value of x
The value of x is 150°. The correct option is D. 150°
Calculating anglesFrom the question, we are to determine the measure of angle x
In the given diagram, we can observe that
The angle supplementary with x is 30° (Alternate angles theorem)
Thus,
x + 30° = 180° (Supplementary angles)
x = 180° - 30°
x = 150°
Hence, the value of x is 150°. The correct option is D. 150°
Learn more on Calculating angles here: https://brainly.com/question/12060386
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Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 10 chores, and $16 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form.
Answer:
y=1/2x+12
Step-by-step explanation:
Answer:
y = 2x + (-30)
Step-by-step explanation:
Find the slope, then find the y-intercept.
But that is for if the points are, (20,10) and (16,2)
If you were finding the equation for the points, (10,20) and (2,16) the equation would be y = 0.5x + 15
1. g(x) = -2(x + 3) 2 - 1
Identify the a,h,k and vertex for each quadratic function
9514 1404 393
Answer:
a = -2, h = -3, k = -1
vertex = (-3, -1)
Step-by-step explanation:
Compare the given equation ...
g(x) = -2(x +3)² -1
to the vertex form ...
g(x) = a(x -h)² +k
You see that ...
a = -2
-h = +3 ⇒ h = -3
+k = -1 ⇒ k = -1
The vertex is (h, k), so is ...
vertex = (-3, -1)
Evaluate when x = -3 and y= -1:
Answer:
-3 + -1
Step-by-step explanation:
Which equation represents 4x – 3y = 15 when solved for y
Answer:
y=4/3x-5
Step-by-step explanation:
4x-3y=15
-4x -4x
______________
-3y=-4x+15
---- --- ---- (divide all by -3)
-3 -3 -3
y=4/3x-5
3,1,-2,-4,-1, least to greatest
Answer:
-4, -2, -1, 1, 3
Step-by-step explanation:
Because some of these numbers are negative, they will be getting smaller as they get bigger. Think of it like this:
When you are determining whether the negative number is bigger or smaller, take the negative sign off or pretend its not there. Then, as the numbers get bigger, they become less. For example, you have these numbers:
-1, -5, -8, -3, and -2
To find out what the order is from least to greatest, you do this:
take the negative sign off
1,5,8,3, and 2
then put them in order from least to greatest
so its
1, 2, 3, 5, 8
Then flip it so its from greatest to least
so its
8,5,3,2,1
Now put the negative signs back
making it:
-8, -5, -3, -2, and -1
That is how you find out what the numbers are from least to greatest.
Hope this helps!
PS. You should eat chicken nuggets because they are good
3х + 4y = - 23
х = 3y+1
Solve systems of equations!
Answer:
[tex]3(3y + 1) + 4y = - 23 \\ 9y + 3 + 4y = - 23 \\ 9y + 4y = - 23 - 3 \\ \frac{13y}{13y} = \frac{ - 26}{13} = - 2[/tex]
What is the slope of 7; (4 -30)
Answer:
Can you restate the question, it is hard to solve with typos.
If you would like, it would also help to attach an image or picture of the question.
Factor the expression using the greatest common factor
2x + 10 =
Answer:
2(x+5)
Step-by-step explanation:
2x+10
1.Factor our the 2 from the equation
2.Your answer after will be 2(x+5)
Answer:
Step-by-step explanation:
PLEASE ANSWER ASAP. WILL GIVE BRAINLIEST
Answer:
I cant see that, its upside down.
Step-by-step explanation:
Volume?? Please help giving out brainliest and 12 points for answering
Answer:
1395
Step-by-step explanation:
Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid
volume of rectangular prism is 15·9·7=945
volume of pyramid is (15·9·10)/3=450
add
450+945=1395
Please help me out with this one
Answer:
The slope of the line = m = 3
Step-by-step explanation:
Given the table
x 3 6 8 12
y 7 16 22 34
Taking any two points let say (3, 7) and (6, 16)
(x₁, y₁) = (3, 7) (x₂, y₂) = (6, 16)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [16 - 7] / [6 - 3]
= 9 / 3
= 3
Therefore, the slope of the line = m = 3
Help me please BRAINLIEST In the drawing below, ABC is similar to NPM. Which ratio correctly represents the relationship between the lengths of the sides of the triangles?
a, b, c, or d please help me thank you
Answer: A
Step-by-step explanation:
If the sales tax rate is 7% in Texas, then how much would you pay in Houston for a coat that cost $32.00?
Answer:
$34.24
Step-by-step explanation:
multiply 32 by 0.07 and get 2.24 add that to 32
please help me this is due in 10 minutes i’ll give brainlyist
Answer:
y=125x+500
Step-by-step explanation: plug the values into x and it's that equation
Find the mean of this set of numbers 42,78,81,23,12
Answer:
47.2
Step-by-step explanation:
add all the numbers(42,78,81,23,12) then divide by the total amount of numbers(5) which will result in it being 47.2.
Answer:
47.2
Step-by-step explanation:
Total Numbers in Set: 5
Mean (Average): 47.2
Median (Middle): 42
Mode (Most Common): No Mode of this set
Range (Biggest - Smallest): 69
Ascending Order: 12,23,42,78,81
Decending Order: 81,78,42,23,12
Even Numbers: 12,42,78
Odd Numbers: 23,81
What is the simplified value of the exponential expression 27 1/3
Answer:
3
Step-by-step explanation:
How come two negatives make a positive, but three negatives makes a negative? Does this have to do with there being an odd/even amounts of negatives and cancelling each other out?
Okay well work step by step. If there is three negatives, you first want to multiply the first two negatives. Your number will come out positive but you are still left with one more negative. so you will multiply the positive number with the negative number which comes out with a negative number.
5. Given the function f(x) = 3(1.55)x.
a. Does the above exponential function represent exponential growth or decay?
b. State the percent increase of the above function.
c. State the growth factor (or multiplier) of the above function.
d. What is the initial amount of f(x)?
Answer:
it A ;)
Step-by-step explanation:
Kathy jumped 16 1/2 ft at the long jump event. Nadia jumped 18 1/8 ft at the long jump. How much farther did Nadia jump than Kathy?
Answer:
12 ft
Step-by-step explanation:
First you do 16 x 2 +1 and you get 133, second you do 18 x 8 +1 = 145 third you need to subtract 145 - 133, and you get 12 feet.
Hope this helped.
A couch was originally priced at $800.00. The sale price is 25% off. Find the discount.
Answer:
The price after the discount is $600
The amount discounted off is $200
Step-by-step explanation:
Convert 4.2% to an
equivalent decimal.
Answer:
0.042
Step-by-step explanation:
divide by 100
Remember:
To convert a Decimal to Percent, you multiply the decimal by 100
To convert a Percent to a Decimal, you divide by 100
Answer:
0.042
Step-by-step explanation:
[tex]4.2/100 = 0.042[/tex]
A plane starts at the origin of the coordinate plane The plane flies 0.5 units left and 3.5 units up to point X. What are the coordinates of point X?
Answer:
(-0.5, 3.5)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Why I don't have information to find the missing lengths?
Answer:
yes
Step-by-step explanation:
Plz help a real one out
Answer:
Correct answer is A
Step-by-step explanation:
44.72+57.12 = 101.54
180-Ans
= 78.46
Solve the given equation for y. Enter DNE if there is no solution. Enter R if all numbers are the solution. 7y+5=6y+1.
How would I solve this?
Answer:
I think the answer is Y= -4. I'm not really sure what you are asking for though.
Step-by-step explanation:
7y + 5= 6y + 1
7y = 6y - 4
y = -4
I hope this helps!
Bill is h cm tall. Sienna is 4 cm taller than Bill. What is the expression in terms of h for sienna height in centimeters.
what has the greatest value 3/10 or 1/2 or 2/5
Answer:
1/2, 2/5, 3/10 is the order
Step-by-step explanation:
create common denominators then you can tell by the numerator.
3/10=3/10
1/2=5/10
2/5=4/10
What is the volume of a rectangular prism with a height of 5 meters and a base with area 19 square meters?
Enter your answer in the box.
