M=32.54°; m∠E = 36.87°.
To find the measure of ∠M, we take the inverse sine of both sides:
sin M = 0.53788
sin⁻¹(sin M) = sin⁻¹(0.53788)
M = 32.54°
For ΔDEF, we have the side opposite ∠E and the hypotenuse of the triangle. Opposite/hypotenuse is the ratio for sine, so our problem looks like this:
sin E = 3/5
sin E = 0.6
Take the inverse sine of both sides:
sin⁻¹(sin E) = sin⁻¹(0.6)
E = 36.87°
Answer:
You can use the formula 500 * 1.03^x to solve for any year.
year 4 is 500 * 1.03^(4) = 562.75
year 6 is 500 * 1.03^(6) = 597.03
Year 7 is 500 * 1.03^(7) = 614.94
Step-by-step explanation:
The amount is increasing, and there are two main ways for that to happen. Addition and multiplication. So let's see if it keeps getting the same amount added or multiplied.
0 to 1 goes from 500 to 515, so 15 is added. but 15.45 is added from 1 to 2, so we can't just do simple addition.
using multiplication 0 to 1 has 1.03 multiplied. if you multiply by it again you do get 530.45, so we have established what is happening.
You can use the formula 500 * 1.03^x to solve for any year.
so year 4 is 500 * 1.03^(4) = 562.75
year 6 is 500 * 1.03^(6) = 597.03
Year 7 is 500 * 1.03^(7) = 614.94
Answer:
Step-by-step explanation:
<u>The volume of a cylinder:</u>
- V = πr²h, where r-radius, h-height
<u>New dimensions of the cake:</u>
<u>The volume of the bigger cake:</u>
- V1 = π*(2r)²*(3h) = 12*πr²h = 12V
- V1/V = 12
The ration of volumes is 12 : 1
