Answer:
30:1
Step-by-step explanation:
1. Look at the graph and follow along the lines.
2. When x is 1 in hours then cakes are 30.
3. So we can write the ratio from cakes to hours.
4. The ratio is 30:1.
Answer:
b
Step-by-step explanation:
So you have to find the unit rate like. 1,5000/3%=0.045 which is 45.00 I. guess
Answer:
slope = 12/5 or 2.4
Step-by-step explanation:
(-2,-7), (3,5)
(5 - (-7) / 3 - (-2)) = (12 / 5)
slope = 12/5 or 2.4
Given:
![m\angle ACD=45^\circ](https://tex.z-dn.net/?f=m%5Cangle%20ACD%3D45%5E%5Ccirc)
Point B is the center of the base.
Each side of the base = 10 cm
To find:
The height of the pyramid.
Solution:
It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:
![d=a\sqrt{2}](https://tex.z-dn.net/?f=d%3Da%5Csqrt%7B2%7D)
Where, a is the side length of the square.
Putting
in the above formula, we get
![d=10\sqrt{2}](https://tex.z-dn.net/?f=d%3D10%5Csqrt%7B2%7D)
It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,
![BC=\dfrac{d}{2}](https://tex.z-dn.net/?f=BC%3D%5Cdfrac%7Bd%7D%7B2%7D)
![BC=\dfrac{10\sqrt{2}}{2}](https://tex.z-dn.net/?f=BC%3D%5Cdfrac%7B10%5Csqrt%7B2%7D%7D%7B2%7D)
![BC=5\sqrt{2}](https://tex.z-dn.net/?f=BC%3D5%5Csqrt%7B2%7D)
In a right angle triangle,
![\tan \theta=\dfrac{Perpendicular}{Base}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cdfrac%7BPerpendicular%7D%7BBase%7D)
In triangle ABC,
![\tan (45^\circ)=\dfrac{AB}{BC}](https://tex.z-dn.net/?f=%5Ctan%20%2845%5E%5Ccirc%29%3D%5Cdfrac%7BAB%7D%7BBC%7D)
![1=\dfrac{h}{5\sqrt{2}}](https://tex.z-dn.net/?f=1%3D%5Cdfrac%7Bh%7D%7B5%5Csqrt%7B2%7D%7D)
![5\sqrt{2}=h](https://tex.z-dn.net/?f=5%5Csqrt%7B2%7D%3Dh)
![7.0710678=h](https://tex.z-dn.net/?f=7.0710678%3Dh)
Round the value to the nearest integer.
![h\approx 7](https://tex.z-dn.net/?f=h%5Capprox%207)
The height of the pyramid is about 7 cm. Therefore, the correct option is A.