Answer:
<h2>x = 10√3</h2>
<u>Step-by-step explanation:</u>
cos 45° = base / hypotenuse
1/√2 = base / 15√2
15√2 = base√2
Base, = 15
sin 60° = perpendicular / hypotenuse
hypotenuse = x
√3/2 = 15 / x
x √3 = 30
x = 30 / √3
x = 10√3
Answer:
x = 26
Step-by-step explanation:
m<RTS = 4x - 14 (given)
Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)
Therefore,
4x - 14 = 90
4x - 14 + 14 = 90 + 14 (addition property of equality)
4x = 104
4x/4 = 104/4
x = 26
Answer:
y = -3x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
x-intercept (-2, 0)
y-intercept (0, -6)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Redefine</u>
Slope <em>m</em> = -3
y-intercept <em>b</em> = -6
<u>Step 4: Write linear equation</u>
Slope-Intercept Form: y = -3x - 6
So the answer would be 8+9n≥80. The reason why is because he has $80 and he saved $8 and he earned $9 for each hour but we do not know how many hours so that is why it is n. and it says minimum so u might think that it might be ≤ but my sister says to think the opposite so the symbol will be ≥.
<u>Check: </u> <u>IT SAYS THAT N IS GREATER THAN 8 SO CHOOSE A NUMBER GREATER THAN 8 WHICH CAN BE 9.</u><u>
</u>
8+9n≥80
8+9*9≥80
8+81≥80
90≥80, so this makes sense.
