Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
Answer:
Part 1) m∠EOD=20°
Part 2) m∠AOD=80°
Step-by-step explanation:
Part 1) Find the measure of angle EOD
we know that °
m∠EOD=m∠EOX-m∠DOX
we have
Observing the figure
m∠EOX=140°
m∠DOX=120°
substitute
m∠EOD=140°-120°=20°
Part 2) Find the measure of angle AOD
we know that °
m∠AOD=m∠DOX-m∠AOX
we have
Observing the figure
m∠AOX=40°
m∠DOX=120°
substitute
m∠AOD=120°-40°=80°
The volume of a triangular prism is the "area of a triangle" times the "thickness."
The area of a triangle is (base times height) over 2.
V = ((b*h)/2)*T
Given V = 2400 cu. cm, b = 16 cm, T = 20 cm, and h is unknown,
h = (2V)/(bL) = (2*2400)/(16*20) = 15 cm
Note that the given 17 cm in the picture is useless.
Answer:
897 liters
Step-by-step explanation:
The motor oil is composed of 8 liters of natural oil and 5 liters of synthetic oil. This means there is a ratio of 8/5. We have 552 liters of natural oil to y liters of synthetic. This is the ratio 552/y. Create a proportion that compares the two ratios.
Solve by cross multiplying.
8y = 5(552)
8y = 2,760
y= 345
345 liters of synthetic oil.
Together 552+345= 897 liters of motor oil.
