The requried volume of the pyramid is 64.9 cubic meters.
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profilearea multiplied by the length at which that profile is extruded.
The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:
15.4 / 4 = 3.85
Therefore, the area of the base is:
A = (3.85)² = 14.8225 square meters
The volume of a pyramid is given by the formula:
V = (1/3) * A * h
where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:
V = (1/3) * 14.8225 * 13.1
V = 64.91925 cubic meters
Rounding to the nearest tenth of a cubic meter, we get:
V ≈ 64.9 cubic meters
Therefore, the volume of the pyramid is approximately 64.9 cubic meters.
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15/25 Divididing numerator and denominator by 5 we get:
3 / 5
O A (-2,4)
O B. (0,4)
O C. (2,6)
OD. (6,6)
(look at photo)
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Answer:
C. (2,6)
Step-by-step explanation:
Translate 2 units left and 4 units up: (x,y) -> (x-2 , y+4)
F (4,2) -> (4-2 , 2+4) -> (2 , 6)
Answer:
11 1/2 years old
Step-by-step explanation:
Let Amanda's age be a.
Let the company's age be c.
The company is 24 years older than Amanda. This means that:
c = 24 + a ______(1)
The sum of Amanda's age and the company's age is 121 years. This means that:
c + a = 121 ________(2)
Put (1) in (2):
24 + a + a = 121
2a = 121 - 24
2a = 97
a = 97 / 2 = 48 1/2 years
She has been there for 37 years, therefore, her age when she started working there is:
48 1/2 - 37 = 11 1/2 years old
NOTE: This age doesn't seem right but I worked based on the parameters given.
f(x)=-2x^2-7x+6
Find f(−3)
Answer:
f(-3) = 9
Step-by-step explanation:
Step 1: Define
f(x) = -2x² - 7x + 6
f(-3) = x = -3
Step 2: Substitute and evaluate
f(-3) = -2(-3)² - 7(-3) + 6
f(-3) = -2(9) + 21 + 6
f(-3) = -18 + 21 + 6
f(-3) = 3 + 6
f(-3) = 9
Substituting x = -3 into the function f(x) = -2x^2 - 7x + 6, we get f(-3) = -33. Therefore, the value of the function at x = -3 is -33.
To evaluate the function f(x)=−2x ^2 −7x+6 at x=−3, substitute −3 for x in the function: f(−3)=−2{(−3) }^2 −7(−3)+6
Now, calculate each part of the expression:
(−3) ^2 is 9 because the square of −3 is 9.
−2 times 9 is −18 because −2⋅9 =−18.
−7 times −3 is 21 because −7⋅−3=21.
Now, plug these values back into the expression:
f(−3)=−18−21+6
Finally, add and subtract:
f(−3)=(−18−21)+6=−39+6=−33
So, f(−3)=−33.
The value of the function
f(x)=−2x^ 2 −7x+6 at x=−3 is −33.
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Miguel paid 70% of the original price for the bicycle. The original price was calculated as approximately $175 by dividing the price Miguel paid ($122.50) by 70% (the remaining percentage after the 30% discount).
Miguel paid $122.50 for a bicycle which was discounted by 30%. So, the $122.50 represents the 70% of the original price (because 100% - 30% = 70%). To find out what 100% (the original price) is, we need to perform a calculation where we divide the price paid by Miguel ($122.50) by 70% (in decimal format, that's 0.70).
The formula would structure as below:
Original Price = Price Paid / Percentage of Original Price Paid
Substituting in the values provided, the equation would be:
Original Price = $122.50 / 0.70
Following through with this calculation, we find that the original price of the bicycle was approximately $175. Therefore, Miguel paid 70% of the original price, as that's the remaining percentage after the 30% discount.
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