Answer:
- EF = 4.1
- DE = 9.1
- m∠F = 66°
Step-by-step explanation:
The hypotenuse and one acute angle are given. The relevant relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
For the given triangle, these tell us ...
sin(24°) = EF/DF = EF/10
EF = 10·sin(24°) ≈ 4.1
and ...
cos(24°) = DE/DF = DE/10
DE = 10·cos(24°) ≈ 9.1
The remaining acute angle is the complement of the given one:
F = 90° -D = 90° -24°
∠F = 66°
Answer:
x = 33.33 kilometers
Step-by-step explanation:
you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.

; cross multiply.
15x = 500
x = 33.33 kilometers
therefore, the race is 33.33 kilometers.
Bodily injury liability and property damage liability is the
auto insurance coverage that pays for injury or damage that the insured driver
causes to other people or their property
To add, bodily injury liability also provides a legal
defense in the event that you are sued for damages. Also, property damage liability<span> <span>coverage helps pay for the </span></span>damage<span> <span>that you cause to another vehicle, or other
types of </span></span>property<span>.<span> </span></span>
Answer:
135 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
To calculate h use Pythagoras' identity on the right triangle on the left
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h =
= 15 , thus
A = 9 × 15 = 135 units²
Answer:
6x-6
Step-by-step explanation: