Answer:
900
Step-by-step explanation:
perimeter: P = 2w + 2h
P = 2(20) + 2(25)
P = 40 + 50
P = 90
Multiply perimeter by 10:
90 × 10 = 900
<u>Answer:</u>
The angles measures x and 4x are complementary angles. The value of x is 36 degrees
<u>Solution:</u>
Given, two angles are x and 4x
We have to find the value of above given x
We are also given that, given two angles are complementary angles for each other
So, we know that, <em>sum of any two complementary angles will always be equal to 180 degrees </em>
Then, in the problem given,
Hence the angles measures x and 4x are complementary angles. The value of x is 36 degrees
Answer:
.87 I think
Step-by-step explanation:
I believe you have to evaluate the inverse tangent first then do the sine.
tan^-1 34/19 is about 1.06
sin 1.06 is about .87
Since 20 total gallons are needed, the amount of 10% solutions can be x and the amount of 20% solutions can be (20-x) since they add up to 20. In addition, the 17% solution has 20 gallons. Putting this into an equation, we get that 10% is 0.1 (by moving the decimal 2 spots to the left) , 0.2=20%, and 0.17=17%. With that information, we can determine that 10%*x+20%*(20-x)=20*0.17 due to that with 20 gallons of the 27% solution, we need a certain amount of solution. For every gallon, we add 0.17 of the solution, so we have 20*0.17. Similarly, we want that total amount to be represented by the amount of 20% + the amount of 10%.
0.1x+0.2(20-x)=0.1x+4-0.2x=-0.1x+4 using the distributive property
-0.1x+4=20*0.17=3.4. Subtract 4 from both sides to get -0.1x=-0.6, and multiply both sides by -10 (to separate x) to get x=6. Therefore, the amount of 10% solution is 6 gallons and the amount of 20% solution is 20-5=14 gallons
