Answer:
6) 6
9) 40
10)
11) 13
Step-by-step explanation:
6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*
9) Pythagorean Theorem
We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a
which gives us 40
10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by because we know that if 2 legs are equal, the hypotenuse is multiplied by . Multiply the numerator and denominator by because we can't have a square root in the denominator.
11) like #9 we have the a and b but we need to find c
a=5 b=12 c=r
so which gives us 13
Answer:
Therefore,
Step-by-step explanation:
Given:
Addition in Column form is as follow
m² + 2mn + n² + 0m + 5
+ 2m² + 0mn - 3n² + 0m - 2
+ 0m² - 3mn + 2n² + m - 3
<u> </u>
3m² - mn + 0n² + m+ 0
<u> </u>
Therefore,
Answer:
the slope is 0, and the y-intercept is (0,15)
:)
Step-by-step explanation:
Edge length of the side of a cube = 5 inches
Then
Volume of the cube = (side)^3
= (5)^3
= 125 inches ^3
So the volume of the actual cube is 125 inches^3
Now after the side lengths are triple, then
New edge length of each side = 3 * 5 inches
= 15 inches
Then
New volume of the cube = (New side)^3
= (15)^3
= 3375 inches^3
Then the volume of the new cube is 3375 inches^3
So
The number of times the volume of the new cube is greater = 3375/125
= 27
So the volume of the new cube is 27 times greater than the old cube.
<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>
where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>
<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>
<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)