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3 years ago

the hypotenuse of a right triangle has a length of 13cm the longer of the two legs is 7cm longer than the shorter leg

Mathematics

1 answer:

Margarita [4]3 years ago

6 0

Let's say the shorter side is x.

So, the longer side would be ( 7 + x )

Now we have to use the Pythagorean Theorem to find the value of x.

a² + b² = c²

( 7 + x )² + x² = 13

7² + x² + x² = 13²

49 + 2x² = 169

2x² = 169 - 49

2x² = 120

x² = 60

x = √60

So the longer side is ( 7 + √60 ) and the shorter side is √60

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at store A, pencils are sold on individually. The cost y of x pencils is represented by the equation y = 0.55x. The costs of pen

Helga [31]

Answer:

The pencils at store A cost more

Step-by-step explanation:

The complete question in the attached figure

store A

we have

$y=0.55x$

This is a proportional relationship between the total cost (y) and the number of pencils (x)

The constant of proportionality is equal to the slope

The slope or unit rate is equal to

$m=\$0.55\ per\ pencil$

Store B

This is a proportional relationship between the total cost (y) and the number of pencils (x)

The constant of proportionality or slope is equal to

$k=\frac{y}{x}$

For (6,3.06)

substitute

$k=\frac{3.06}{6}$

$m=\$0.51\ per\ pencil$

The linear equation at store B is

$y=0.51x$

<u><em>Verify each statement</em></u>

case 1) The pencils at store A cost more

The statement is true

Because, one pencil at store A cost $0.55 and one pencil at store B cost $0.51

case 2) The pencils at store A cost $0.27 each

The statement is false

Because, one pencil at store A cost $0.55

case 3) The pencils at store B cost $0.30 each

The statement is false

Because, one pencil at store B cost $0.51

case 4) The pencils at store B cost more

The statement is false

Because, pencils at store A cost more

3 0

3 years ago

Jason compares the price of oranges at 4 stores,

prisoha [69]

Answer/Step-by-step explanation:

To Find the best price divided each

Kroger → 1.52/4=0.38

Publix → 175/5=35

Ingles → 1.02/3=0.34

Walmart → 2.46/6=0.41

Base on the data we can tell that Ingles have the best price.

7 0

3 years ago

The diagram compares the ratio of girls in the chorus to boys in the chorus what is the ratio of girls to boys if there are 40 s

Gala2k [10]

Ratio of girls to boys is 3:2....added = 5.....this means that 3/5 of the total students are girls and 2/5 of the total students are boys.

so if there are 50 students...
3/5(50) = 150/5 = 30 girls
2/5(50) = 100/5 = 20 boys

7 0

3 years ago

A cat is running away from a dog at a speed of 3m/s. originally, the distance between them was 48 meters. What should be the spe

balandron [24]

Answer:

$3.8\:\mathrm{m/s}$

Step-by-step explanation:

Use the formula $d=rt$ (distance is equal to rate/speed multiplied by time) to solve this problem.

We know that one minute is equal to 60 seconds. Therefore, the distance travelled by the cat in 1 minute is equal to $d=3\cdot 60=180\text{ meters}$ .

To catch the cat, the dog needs to also cover an additional 48 meters, because the cat was initially 48 meters away from the dog and it ran away from the dog. Hence, the dog will need to cover $180+48=228$ meters in one minute.