Answer:
24' 2 "
Step-by-step explanation:
12'11"
+ 11'3"
‾‾‾‾‾‾
23 ' 14 "
But we know there are 12 inches in a foot so subtract 12 inches and add 1 ft
14-12 = 2"
23+1 = 24 ft
24' 2 "
The slope of the line is .75, so 1. is false.
The graph is a dashed line AND the area above it shaded, so 2. is false (in and of itself)
The graph is the area shaded above the line not below it, so 3. is false.
0>.75(0)-2, 0>-2 so 4. is TRUE
The line is dashed and is not part of the solution to the inequality, so the point (0,-2) while on the line, is not part of the solution set and thus is not part of the graph, and does not intercept the graph, so 5. false. (the line intercepts the y axis at (0, -2) but the line itself is not part of the solution set and thus is not part of the graph)
So only statement 4. is true.
The measure of the indicated angle to the nearest degree is 47°.
<h3>What is the measure of the angle?</h3>
Given the data in the question;
- Adjacent = 36
- Hypotenuse = 53
- Angle θ = ?
From trigonometric ratio, Cosθ = Adjacent / Hypotenuse
Cosθ = 36/53
θ = cos⁻¹( 36/53 )
θ = 47°
Therefore, the measure of the indicated angle to the nearest degree is 47°.
Learn more about trigonometric ratio here: brainly.com/question/28016662
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Answer:
Simplifying
(5n + -3) + -1(-2n + 7) = 0
Reorder the terms:
(-3 + 5n) + -1(-2n + 7) = 0
Remove parenthesis around (-3 + 5n)
-3 + 5n + -1(-2n + 7) = 0
Reorder the terms:
-3 + 5n + -1(7 + -2n) = 0
-3 + 5n + (7 * -1 + -2n * -1) = 0
-3 + 5n + (-7 + 2n) = 0
Reorder the terms:
-3 + -7 + 5n + 2n = 0
Combine like terms: -3 + -7 = -10
-10 + 5n + 2n = 0
Combine like terms: 5n + 2n = 7n
-10 + 7n = 0
Solving
-10 + 7n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 7n = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 7n = 0 + 10
7n = 0 + 10
Combine like terms: 0 + 10 = 10
7n = 10
Divide each side by '7'.
n = 1.428571429
Simplifying
n = 1.428571429
