Answer:
Step-by-step explanation:
Jessica: 5 miles
Taylor: 5/7 = .7143 miles
Answer:
I believe the answer is D. Number line from 0 to 4 is divided into 20 equal parts. Number line is grouped into 10 equal parts.
Step-by-step explanation:
She can make 10 dresses if you split the number line into 20 parts and find 2/5. Therefore, it would then be grouped into 10 parts, each part 2/5ths of a yard.
From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.
The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:

where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that

which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.
Combine the fractions by finding a common denominator.<span><span><span><span> 7x</span>+2
</span><span><span>--------------
(<span>x+5</span>)</span><span>(<span>x<span>−6</span></span>)</span></span></span></span>