Answer:
18
Step-by-step explanation:
since U is the midpoint of QT, QT = 2(QU)
similarly, QS = 2 (QR)
because QR is parallel to QS and QU is parallel to QT, triangle QUR is similar to triangle QTS. therefore, the scaling factor between QT/QU and QS/QR is equal to the scaling factor between RU and ST.
therefore,
ST = 2(RU)
36 = 2(RU)
18 =RU
Answer:
B. 0
Step-by-step explanation:
Given
g(t) = t² - t
f(x) = 1 + x
Required
Find g(f(3) - 2f(1))
First, we'll solve for f(3)
Given that f(x) = 1 + x
f(3) = 1 + 3
f(3) = 4
Then, we'll solve for 2f(1)
2f(1) = 2 * f(1)
2f(1) = 2 * (1 + 1)
2f(1) = 2 * 2
2f(1) = 4
Substitute the values of f(3) and 2f(1) in g(f(3) - 2f(1))
g(f(3) - 2f(1)) = g(4 - 4)
g(f(3) - 2f(1)) = g(0)
Now, we'll solve for g(0)
Given that g(t) = t² - t
g(0) = 0² - 0
g(0) = 0 - 0
g(0) = 0
Hence, g(f(3) - 2f(1)) = 0
From the list of given options, the correct answer is B. 0
Answer:
The height of the tower=2,702 feet
Step-by-step explanation:
The angle of elevation is the angle between the horizontal level ground and the hypotenuse. Since we have the horizontal distance, we can use this to estimate the vertical height from the base of the tower using the expression below;
Tan∅=h/b
where;
∅=the angle of elevation
h=vertical height of the tower
b=the distance from the base of the tower to the point on level ground
In our case;
∅=27.1°
h=unknown
b=5280 feet
replacing;
Tan 27.1=h/5280
h=5,280×Tan 27.1
h=2,701.91 feet
2,701.91 to the nearest foot=2,702 feet
The height of the tower=2,702 feet
Answer:
B. 1,251 ft²
Step-by-step explanation:
The walkway can be divided into 4 rectangles as shown in the attachment below.
Calculate the area of the walkway part by part.
Part 1 and Part 2:
Length = 100 ft + 4½ ft + 4½ ft = 109 ft
Width = 4½ ft
Area of part 1 and 2 = 2(length * width)
= 2(109*4½) = 981 ft²
Part 3 and Part 4:
Length = 30 ft
Width = 4½ ft
Area of part 1 and 2 = 2(length * width)
= 2(30*4½) = 270 ft²
Area of the walkway = 981 + 270 = 1,251 ft²
