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3 years ago

What is the value of a?

Mathematics

2 answers:

kaheart [24]3 years ago

7 0

Answer:

$a=\dfrac{16}{3}\ un.$

Step-by-step explanation:

In right triangle XZW, the height WY is the geometric mean of segments ZY and XY.

Hence,

$WY^2 =ZY\cdot XY,\\ \\4^2=3\cdot a,\\ \\a=\dfrac{16}{3}\ un.$

luda_lava [24]3 years ago

3 0

16/3 is the value of a

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Step-by-step explanation:

Given in the question an equation

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dem82 [27]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

$y=8x+30$

Rosie's scooters

$y=10x+20$

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

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substitute

$y=10(7)+20=90$

The cost is $90

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