Answer:
<u>1728 in²</u>
Step-by-step explanation:
For the area of B, you need to find the length and width (height and base, whatever you want to call it).
For the height, you would need to do: 144 - 36 - 24 - 36 = <u>48 inches</u>
For the base, you would need to do: 60 - 24 = <u>36 inches</u>
Now you multiply the base and height to get the area: 48 x 36 = <u>1728 in²</u>
The slope is [ 8 - (-1) ] / [ -1 - (-4) ] = 9 / 3 = 3;
The line has the equation: y - 8 = 3( x + 1);
y - 8 = 3x + 3;
y = 3x + 11.
Answer:
I got 17.7°
Step-by-step explanation:
Since a complimentary angle adds up to 90 degrees, this would be the right answer... does it require a degree symbol?
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
<h3>Trigonometric Ratio</h3>
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;
brainly.com/question/12172664
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
