Answer:
Step-by-step explanation:
26×N
Answer:
Quarters = 10
Dimes = 15
Step-by-step explanation:
d = number of dimes, q = number of quarters
d + q = 25 is the equation for number of coins
0.1d + 0.25q = 4 is the equation for value of coins
First, solve for d in terms of q:
d + q = 25
d = 25 - q
Then substitute that into the other equation:
0.1(25 - q) + 0.25q = 4
2.5 - 0.1q + 0.25q = 4
0.15q = 1.5
q = 10
And back to d = 25 - q, d = 25 - 10 = 15
Check the math:
0.1(15) + 10(0.25) = 1.5 + 2.5 = 4
LMK if you have questions
Volume of a pyramid is (L * w * h) / 3
L=10 and w=10
h can be found by using the Pythagorean theorem:
divide the base by 2 and we get 5. Then we have that the hypotenuse is 13 and the bottom of the right triangle we formed is 5. a= sqrt(c^2-b^2)
a=h=12
we plug these numbers into the formula for the volume of a pyramid and get:
400
Lateral Area of a Cylinder=2πrh
= 2 x π x 7 x 24
=336π
Option D
9514 1404 393
Answer:
x ≈ 32.4
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angle, adjacent side, and hypotenuse:
Cos = Adjacent/Hypotenuse
cos(72°) = 10/x
x = 10/cos(72°)
x ≈ 32.4