Answer:
1/4
Step-by-step explanation:
First - Convert all fraction with the Greatest Common Factor of 12
12 1/2 = 150/12
4 1/4 = 51/12
2 2/3 = 96/12
Second - Subtract the patio wood and the total
150/12 - 51/12 - 96/12 = 3/12
Third - Simplify 3/12 to 1/4
1/4 of the total wood is left to build the frame of the birdhouse.
Given function is
Now we have to find which inequality can be used to find the domain.
Given function is a square root function. We know that square root function is defined only for the positive values including 0. In other words expression inside the square root must be greater than or equal to 0.
In given problem, expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :
which is same as your answer.
Hence your answer is correct.
Answer:
27.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relationship between the angle and the relevant sides of the triangle is ...
Cos = Adjacent/Hypotenuse
In this case, the hypotenuse of the triangle is the length along the road; the distance parallel to the ground is the side adjacent to the angle of depression. So, you have ...
cos(angle) = (23 mi)/(26 mi)
angle = arccos(23/26) ≈ 27.8°
The angle of depression is about 27.8°.
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<em>Comment on the road</em>
The grade on such a road is about 53%. A road with an 8% grade for any distance is considered marginally safe for trucks. A 53% grade for 26 miles would wear out the brakes in no time.
The elevation drop on this road is about 12 miles, or more than 64,000 feet. The highest mountain on Earth is less than half that height, so this must be on a different planet.
The worth of the car in 10 years is $1,831.67 using an exponential equation approach.
What is an exponential equation?
An exponential equation is the one with exponents such X^3(the 3 is the exponent)
The exponential equation required here is the one where the future value would be lower than current value because the car reduces in value year-in-year-out.
FV=PV*(1-r)^N
FV=future worth of the car
PV=today's value=$25,000
r=depreciation rate=-23%
N=number of years=10
The fact that r is negative means the car is depreciating not appreciating.
FV=$25,000*(1-23%)^10
FV=$1,831.67
Find further explanation on exponential equation below in the link:
brainly.com/question/11832081
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