Answer: 43.2°
In the given diagram, we are given the hypotenuse and opposite side from the angle x. This means that we need to use the sine ratio. When finding the angle in this triangle, we need to use 
, not just sine. (This applies for other problems that require you to solve for the angle. The equation should be 
. Calculate the equation with your calculator to get 43.2
Answer:
There are many but one possible answer is a length of 4 and width of 6 for the smaller rectangle; and a length of 12 and width of 18 for the larger rectangle
Explanation:
So we know that two shapes on the same scale as each other also have the same ratio of values!
For example, a rectangle with a length of 3 and a width of 4 would have a ratio of 3:4. This means that a larger rectangle of the same ratio could have a length of 6 and a width of 8.
In this case though, our larger rectangle must have a length <em>and</em> width in the double digits. This would leave us with any number from 10-99!
We can choose any two numbers for the length and width of the smaller rectangle, but know that the size of the larger rectangle depends on the size of the smaller rectangle.
We can use a length of 4 and a width of 6 for the smaller rectangle, but remember that we can use any numbers from 1-10, I just chose this one.
<em>Additionally, just to be more realistic, your width should be larger than your length.</em>
Anyways though, if we use a length of 4 and a width of 6, then the ratio would be this: 3:6. Since ratios are similar to fractions, we can multiply 3/6 by any growth factor to get the larger rectangles values! I chose a growth factor of 3 (again, just to keep things realistic!).
4/6 * 3/3 = 12/18
These values are still proportional, and the outcomes are both double digits! Therefore, this could be one of your answers!
Answer:
14-7 and 7
Step-by-step explanation:
Answer:
19.685
Step-by-step explanation:
Answer:
The answer is <u>140 cubic in</u>
Step-by-step explanation:
The formula for the volume of a prism is V=Bh, where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw. Hope this helped! :) (ps. I am sorry if it does not help.)
