Do the parentheses first
Since it’s dividing you are supposed to times it
Answer: 60%
This is because the shaded boxes cover 60/100 of the total boxes
Answer:
see the explanation
Step-by-step explanation:
we know that
The equation of a horizontal line is equal to the y-coordinate of the point that passes through it
so
In this problem, the line passes through the points
(-3.5,4),(0,4), and (6.2,4)
The y-coordinate is 4
The equation of the horizontal line is
y=4
therefore
Any point with the y-coordinate equal to 4, fall on this line
Example
(1,4) and (5,4)
Area of the rectangular lawn = 24 x 32 = 768 ft²
Given that the area of the remaining lawn = 425 ft²
Area of the walkway = 768 - 425 = 323 ft²
Let the width of the walkway be x.
Area of walkway = 2(32x) + 2(24x) - 4(x)² = 64x + 48x - 4x² = 112x - 4x²
112x - 4x² = 232
4x² - 112x + 232 = 0
<span>(2x - 49) (2x - 7) = 0
</span>x = 49/2 or x = 7/2
x = 24.5 (rejected, it cannot be bigger than the width) or x = 3.5
Answer: The width of the walkway is 3.5 feet.
Answer:
x ≈ 5.7
Step-by-step explanation:
Recall, SOH CAH TOA.
We are given:
Reference angle = 35°
Opposite side length to reference angle = 4
Adjacent side = x
To find x, apply the trigonometric equation, TOA, which is:
Tan 35° = Opp/Adj
Substitute
Tan 35° = 4/x
x*Tan 35° = 4
x = 4/Tan 35°
x ≈ 5.7
