Answer:
The solution is r=40.
Step-by-step explanation:
First, we identify the parts of the division:
"r" is the dividend of the division.
10 is the divisor
4 is the quotient.
To get the value of "r", we have to make a tape diagram where the divisor represents the number of equal-sized parts (boxes) and the quotient represents de quantity inside the boxes.
The tape diagram is made of 10 equal-sized parts of 4.
So the result is 10×4=40. The value of "r" is 40.
(See attached picture)
Volume of the pyramid is V = (Bh)/3 where B is the base area of the pyramid and h is the height to the pyramid.
B = 2(2) = 4in²
To find h, we need to use the Pythagorean theorem. The height of the pyramid is actually an altitude that drops straight down from the vertex of the pyramid perpendicular to the Base hitting the Base in the center. Therefore, the distance from where the altitude hits the Base and the edge of the Base is equal to 1. We are given the slant height as 5 inches so we can now use the theorem to find the height of the pyramid.
h² + 1² = 5²
h² = 5² - 1²
h² = 25 - 1
h² = 24
Now we can find the Volume:
V= (Bh)/3
![V= \frac{[4(2 \sqrt{6} )]}{3}](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B%5B4%282%20%5Csqrt%7B6%7D%20%29%5D%7D%7B3%7D%20)
This is about 6.5 in³ of volume
Answer: OPTION D
Step-by-step explanation:
By definition, an exponential parent function (The simplest forn of an exponentil function) has the following form:
When an exponential function has the form 
, means that this is shifted k units up.
Therefore, keeping the above on mind, you can conclude that the equation of the function g(x) is the shown below:
