7+9=16 you can use that cause that is the opposite equation
Answer:
<u>The answer is US$ 7.46</u>
Step-by-step explanation:
Question. Find the cost of 1.15 pounds of cheese that cost 6.49 per pound.
Total cost of the cheese = Cost per pound * Weight of the cheese we're buying.
Total cost of the cheese = 6.49 * 1.15
Total cost of the cheese = 7.4635
<u>Total cost of the cheese = US$ 7.46 (rounding to the nearest cent)</u>
Answer:
![43.87^{\circ}](https://tex.z-dn.net/?f=43.87%5E%7B%5Ccirc%7D)
Step-by-step explanation:
We are given that
Height of mountain=350 m
Distance from the tree to the skier=505 m
We have to find the angle of depression from where the skier is standing to the base of the tree.
In triangle ABC
![\frac{AB}{AC}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAC%7D%3Dsin%5Ctheta)
By using the formula
![\frac{Perpendicular\;side}{Hypotenuse}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7BPerpendicular%5C%3Bside%7D%7BHypotenuse%7D%3Dsin%5Ctheta)
![\frac{350}{505}=sin\theta](https://tex.z-dn.net/?f=%5Cfrac%7B350%7D%7B505%7D%3Dsin%5Ctheta)
![sin^{-1}(\frac{350}{505})=\theta](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%28%5Cfrac%7B350%7D%7B505%7D%29%3D%5Ctheta)
![\theta=43.87^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D43.87%5E%7B%5Ccirc%7D)
Hence, the angle of depression from where the skier is standing to the base of the tree=![43.87^{\circ}](https://tex.z-dn.net/?f=43.87%5E%7B%5Ccirc%7D)
Answer:
The volume of the similar prism is ![336\ cm^{3}](https://tex.z-dn.net/?f=336%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the larger prism
y----> the volume of the smaller prism
so
![z^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
In this problem we have
-----> the scale factor
![y=42\ cm^{3}](https://tex.z-dn.net/?f=y%3D42%5C%20cm%5E%7B3%7D)
substitute and solve for x
![x=42(2^{3})=336\ cm^{3}](https://tex.z-dn.net/?f=x%3D42%282%5E%7B3%7D%29%3D336%5C%20cm%5E%7B3%7D)