9514 1404 393
Answer:
4. height: 5√3 cm; area: 25√3 cm²
5. 30√2 ft ≈ 42.43 ft
Step-by-step explanation:
4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...
height = (√3)/2 × (10 cm) = 5√3 cm
The area is given by the formula ...
A = 1/2bh
A = 1/2(10 cm)(5√3 cm) = 25√3 cm²
__
5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...
(30 ft)√2 ≈ 42.43 ft
__
The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.
d = √(30² +30²) = √1800 ≈ 42.43 . . . feet
Answer:
Approximately 54.54% of race happened in the first week.
Step-by-step explanation:
We are given the following in the question:
Length of bike race in three weeks = 2,200 miles
Race covered in first week = 1,200 miles
Percentage of race covered in first week =
Thus, approximately 54.54% of race happened in the first week.
Answer:
x=4 and the solution is not extraneous
Step-by-step explanation:
This solution is not extraneous, because plugging it back in you get:
Hope this helps!
Answer: x = 14
Step-by-step explanation:
-x+14 = 0
Subtract 14 from both sides of the equation :
-x = -14
Multiply both sides of the equation by (-1) : x = 14
Answer:
He has paid 5600 by the end of the year
your equation is: y=300x+2000
Step-by-step explanation:
x=12 because there is 12 months in a year
y=300(12)+2000
y=3600+2000
y=5600
