I feel your struggle with volume I swear it the literal worst anykhooters ima solve this as quickly as I can :)!
The answer is 3072 cm².
Lateral surface area of a pyramid can be expressed as:
L = P × l
where:
L - <span>Lateral surface area
P - Perimeter of a base
l - slant height
We have:
L = ?
P = ?
l = 24 cm
a = 32 cm
</span><span>Perimeter of a base which is a square is:
</span>P = 4 × a
P = 4 × 32 cm
P = 128 cm
Thus,
<span>L = P × l
</span>L = 128 cm × 24 cm
L = 3072 cm²
Therefore, <span>the lateral surface area is </span>3072 cm².
We have that
(r, ∅)----------> (-7, <span>5 pi/3)
we know that
</span>5 pi/3--------> 300°-----------> -60°
To convert polar cordinates in rectangular one with use the following formula:
x=r*cos ∅------> x=-7*cos -60°-------> x=-7*(1/2)------> x=-7/2
y=r*sin ∅-------> y=-7*sin -60-------> y=-7*(-√3)/2----> y=7√3/2
the answer is the option
D) ordered pair negative 7 divided by 2 comma 7 square root 3 divided by 2
Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.
