Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:


And its value is 180:

Multiplying by 2:

Operating:

Factoring:

The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Answer:
it takes the bears 12 days to eat honey together.
Step-by-step explanation:
1/x+9+1/x+16=1/x
(solve this using cross multiplication)
= x^2 = 144
x=12
Answer:
<h2>f(-7) = -6</h2>
Step-by-step explanation:
Put x = -7 to f(x) = 2x + 8:
f(-7) = 2(-7) + 8 = -14 + 8 = -6
Answer:
The amount by which the sugar canister is smaller than the flour canister is 136 in³
Step-by-step explanation:
The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches
(5 and 1/2 = (5 1/2))
(3 and 1/2 = (3 1/2))
The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches
The volume of the rectangular prism = Length × Width × Height
∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³
The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³
The difference in volume between the flour canister and the sugar canister is given as follows;
220 in.³ - 84 in.³ = 136 in.³
The amount by which the sugar canister is smaller than the flour canister = 136 in.³.
Answer : 400 cm square :)
Sorry if it’s incorrect ;-;