Answer:
T = 60 degrees
Step-by-step explanation:
The dotted line is the height so it is a right angle
We are able to use trig functions since this is a right triangle
cos T = adj side / hyp
cos T = a/b
cos T = 8 sqrt(2) / 16 sqrt(2)
cos T = 1/2
Taking the inverse of each side
cos^-1 ( cosT) = cos^-1 ( 1/2)
T = 60 degrees
Answer:6
Step-by-step explanation:
Answer:
n = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
6n + 7 = 55
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 7 on both sides: 6n = 48
- Divide 6 on both sides: n = 8
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: 6(8) + 7 = 55
- Multiply: 48 + 7 = 55
- Add: 55 = 55
Here we see that 55 does indeed equal 55.
∴ n = 8 is a solution of the equation.
Sugar: x pounds
flour: 2x + 5 pounds
2x + 3(2x + 5) = 40
2x + 6x + 15 = 40
8x = 25
x = 3.125
-> a sack of flour is 3.125 + 5 = 8.125 pounds
I hope it‘s coorect