For question 4, 
Question 5. Option a and question 6. Option j
Step-by-step explanation:
Step 1:
The three basic formula needed to solve these questions are:
Step 2:
Using the above formula, we solve the following values
Step 3:
For question 5, The triangle's angle = 23°, opposite side = BC inches and hypotenuse = 4 inches.
SO BC is 1.5628 inches, rounding this off to the nearest tenth, we get BC = 1.6 inches which is option a.
Step 4:
For question 6, The triangle's angle = 50°, opposite side = QR m the adjacent side = 8.1 m.
SO QR is 9.65277 meters, rounding this off to the nearest tenth, we get QR = 9.7 inches which is option j.
Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
Translating this verebal statement into a symbolic statement:
8 - 15/y = 13y.
Note: your statement would sound better if written as "8 minus the quotient of 15 and y equals the product of y and 13."
Hi there!
We'll be finding the area of the entire middle rectangle (the big one), since that is the lateral area. It has a height of 15 and a length of 18.
15 x 18 = 270
The correct answer is the first option, 270m^2.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
X= 1/2
Step-by-step explanation:
-3x+7x=2
4x = 2
4x/4 + 2/4
X= 1/2
