Answer:
1443.36
Step-by-step explanation:
6014 multiplied by.24 equals 1443.36
I hope this is helpful
Response: The following comparison is made.
Detailed explanation:
At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.
The slope can be calculated as vertical height divided by horizontal length.
= 6/4 = 3/2 = 1.5
In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.
Therefore, slope,
= 10/6 = 5/3 = 1.67 (approximately)
As such,
< 
Thus, the slope of the first climbing structure is less than that of the second.
Answer:
qt's length = 16
Step-by-step explanation:
The problem states that qrs is a right triangle,
where qr = 20
sr =?
qs = 25
qt =?
1)
Calculate sr
hypotenuse² = base² + height²
sq² = sr² + rq²
25² - 20² = sr²
sr = √(25² - 20²)
sr = 15
2)
When altitude rt is dropped to hypotenuse qs, it creates
two right triangles: rtq and rts.
Δrtq
height = rt
base= tq = 25 - x
hypotenuse = qt = 20
Δrts
height = rt
base= ts = x
hypotenuse = sr = 15
Both triangles share the same height, which is rt
Using the Pythagorean theorem:
Δ rtq Δ rts
hypotenuse² - base² = height²
20² - (25 - x)² = 15² - x²
400 - (625 + x² - 50x) = 225 - x²
400 - 625 - x² + 50x = 225 - x²
-225 - x² + 50x - 225 + x² = 0
-450 + 50 x = 0
50x = 450
x = 450/50
x = 9
Base of Δ rtq = tq = 25 - x
tq = 25 - 9
tq = 16
x:200
x/200 =.2121212121...
200(x/200) = 200(.2121212121...)
x = 42.4242...
The expectation is that a player would achieve 42 hits over 200 at-bats.