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ivolga24 [154]
2 years ago
5

Jenna competes in the high jump. Her best jump in the first meet is 414 feet. Her best jump in the second meet is 456 feet. Ente

r an expression, using equivalent fractions with a common denominator, to model how much the height of her jump increased.
Mathematics
1 answer:
Rina8888 [55]2 years ago
6 0

Answer: \dfrac{7}{69} of height has been increased in second jump from the first jump.

Step-by-step explanation:

In first meet, height of best jump = 414 feet

In second meet, height of best jump = 456 feet

Increase in height = 456 feet - 414 feet

= 42 feet

The fraction of increased in height = \dfrac{\text{Change in height}}{\text{previous height}}

=\dfrac{42}{414}\\\\=\dfrac{7}{69}

Hence, \dfrac{7}{69} of height has been increased in second jump from the first jump.

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Answer:

The area of the unpainted region on the four inch board = 160·√3 in.²

Step-by-step explanation:

Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram

The dimensions of the formed parallelogram are;

Interior angles = 60° and 120° (adjacent angles of a parallelogram)

Height, h of parallelogram formed = 4 inches

From the angle of crossing of the parallelogram, we have;

Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°

Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;

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Hence, the area of the unpainted region on the four inch board = 160·√3 in.².

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2 years ago
Someone could help me with problem 3-76 (b) pls
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Step-by-step explanation:

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