Answer:;4.4
Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.
Answer:
a
Step-by-step explanation:
Answer:
YES
Step-by-step explanation:
4(3b-4)=2(6b-8)
12b-16=12b-16
YES
Answer:
The gallons of gas the tank contain now is <u>35 1/12</u>.
Step-by-step explanation:
Given:
Fuel tank contains 1 3/4 gallons of gasoline.
Casey adds 33 1/3 gallons of gasoline to the tank.
Now, to find the total gallons of gas the tank contain.
Converting the mixed fractions into improper.
Gallons of gasoline in fuel tank
.
Gallons of gasoline Casey adds
.
<u>According to question:</u>
By adding we get the total gallons of gasoline now tank contain:





Therefore, the gallons of gas the tank contain now is 35 1/12.
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.