The grade is the ratio of rise to run, i.e. the slope aka the tangent.
Answer: (a) 6 degrees
For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10. The height h or rise is the side opposite the small angle.
We could just take the sine of the angle we got but let's get it from the tangent exactly.
Dividing by squared cosine
Answer: (b) Rise of 0.199 km
#2. On the moon you would have periods where the sun blocks the Earth and other times when the Earth blocks the sun.
Answer:
If,
But 3^x ≠ 21875,if x is a whole number.
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Answer:Jake's total cost is $22.05
Step-by-step explanation:
The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as
30/100 × 30 = $9
The new price of the sweater would be 30 - 9 = $21
Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be
5/100 × 21 = 0.05×21 = $1.05
Jake's total cost would be
21 + 1.05 = $22.05
Answer:
8
Step-by-step explanation:
2l+2w=16
Step 1: Add -2w to both sides.
2l+2w+−2w=16+−2w
2l=−2w+16
Step 2: Divide both sides by 2.
2l
2
=
−2w+16
2
l=−w+8