Answer:
x=17inches
Step-by-step explanation:
we know a rhombus has equal sides so we need to make the equation equal.
2x+16=33+x.
move x to one side and numbers (16) to the opposite side
2x-x=33-16
add them up.
x=17
-9/4v + 4/5 = 7/8;
First, you subtract 4/5 from each side to have variable v on a side and numbers on the other:
-9/4v = 7/8 - 4/5;
-9/4v = 35/40 - 32/40;
-9/4v = 3/40;
Then you divide each side to get the variable v alone on a side, and one number on the other:
V= (3/40) / (-9/4);
Dividing to fractions is equal to multiplying the first one by the inverse of the second:
V= (3/40) * (-4/9);
V= -12/360;
V= -1/30;
You can re-check your answer (very important):
(-9/4)*(-1/30)+4/5=7/8;
The answer has been approved.
Hope this helps! :)
Answer:
Domain= (-inf,inf)/(-∞,∞)
Range= (-inf,25/16]
x-intercepts= (0,0), (5/4,0)
y-intercepts=(0,0)
vertex= maximum (5/8,25/16)
Given BD and AC is a diameter of the circle:
We need to find the following:
1. measure of the arc BA
So,
the measure of the minor arc BA = 44
The measure of the major arc BA = 360 - 44 = 316
2. the measure of the arc ACB = 360 - 44 = 316
3. The arc BCD is a semicircle of the circle
So, the measure of the arc BCD = 180
Answer:
D)The height of the red prism is three times the height of the blue prism
Step-by-step explanation:
Here is the complete question
Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.
which statement is true?
a)The height of the red prism is one-third the height of the blue prism
B)The height of the red prism is the same as the height of the blue prism
C)The height of the red prism is six times the height of the blue prism.
D)The height of the red prism is three times the height of the blue prism
Solution
Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂
A₂h₁/3 = A₂h₂
h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.
