Answer:
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Step-by-step explanation:
can that helps
We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.
First of all, we will draw a right triangle using our given information.
We can see that US is opposite to angle T and ST is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.
Now we will use arcsin to solve for measure of angle T as:
Upon rounding to nearest degree, we will get:
Therefore, the measure of angle T is approximately 24 degrees.
Assuming you are supposed to solve for the variable "t",
9 - (t ÷ 6) = 5
Subtract 9 from both sides.
9 - 9 - (t ÷ 6) = 5 - 9
Simplify.
- (t ÷ 6) = -4
Distribute -1 throughout the parenthesis.
-t ÷ -6 = -4
Multiply both sides by -6.
-t ÷ -6 × -6 = -4 × -6
Simplify.
-t = 24
Divide both sides by -1.
-t ÷ -1 = 24 ÷ -1
Simplify.
t = -24
I am going to use C to represent cookbook and N to represent N. I find that easier to remember which is which.
Day 1: 5C + 3N = 167
Day 2: 3C + 1N = 89
We need to solve one of these equation for either the C or N. I always choose the easiest one! Day 2 looks like the one.
3C + 1N = 89 (I am doing to solve for N because we won't have a fraction)
1N=89-3C
N=89-3C
Now we take this solution for N and put it into our first equation.
5C + 3(89-3C) = 167 (We need to distribute)
5C + 267 - 9C = 167 (Use subtraction to move C values to the right and numbers to the left)
267-167 = 9C-5C
100 = 4C
25 = C $25 for the Cookbooks.
Now, we have to go back and solve for N by putting $25 in for C in the second equation.
N=89-3(25)
N=89-75
N=14 dollars for each novel.
Check by putting both back into the first equation:
5C + 3N = 167
5(25) + 3(14) = 167. It checks out!
