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3 years ago

Does 30,40,45 make a right triangle?

Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

I believe that it does.

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Allison earns $14 an hour plus $20 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the w

Ronch [10]

Part a) Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime

Let

E-------> the amount of money earned

x------> number of hours worked

we know that

For $x\leq35$

$E=14x$

therefore

the answer part a) is

$E=14x$

Part b) Create an equation that shows the amount of wages earned, T, for working y hours of overtime

Let

T-------> the amount of money earned

y------> number of hours of overtime

we know that

$T=14*35+20y$

$T=\$490+20y$

therefore

the answer part b) is

$T=\$490+20y$

Part c) Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?

we know that

$35\ hours=\$490$

$\$610-\$490=\$120$

Divide $\$120$ by $\$20$ ----> to obtain the hours of overtime

$\frac{120}{20}=6\ hours\ of\ overtime$

Allison works

$35+6=41\ hours$

$Regular=35\ hours\\ Overtime=6\ hours$

therefore

the answer part c) is

$Regular=35\ hours\\ Overtime=6\ hours$

4 0

2 years ago

Point e is the midpoint of ca and bd. which statements about the diagram are true?

defon

Answer:

Step-by-step explanation: i don’t know to be honest

8 0

2 years ago

Dan invests £18790 into his bank account. He receives 5.9% per year simple interest. How

PtichkaEL [24]

Answer: £21007.22

Step-by-step explanation:

First, find the interest amount using the formula SI = (P × R × T) / 100.

SI = interest amount
P = principle amount = £18790
R = interest rate(in percentage) = 5.9
T = time(in years) = 2

SI = (P × R × T) / 100 = (18790 × 5.9 × 2)/100 = 221722/100 = £2217.22

The total amount = principle amount + interest amount

= £18790 + £2217.22 = £21007.22

6 0

3 years ago

Find the scalar and vector projections of b onto a.a = i + j + k, b = i - j + k

yarga [219]

Try this option.
1 is for scalar (result is number), 2 is for vector (result is vector).

5 0

2 years ago

What is the slope of the line shown?

mylen [45]

Answer:

Step-by-step explanation:

you go up 3 units and over to the left one unit

3/1 = 3

6 0

2 years ago