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3 years ago

A triangle has side lengths of 17 cm and 5 cm. Which could be the value of the third side, 27 cm or 20 cm?

1 answer:

5 0

For a triangle to be possible, the sum of two of its side lengths cannot be greater than or equal to the third side length. The sum of the given side lengths is 17+5=22 cm. So the third side length must be shorter than 22cm. 27cm is longer than 22cm, while 20cm is shorter. So the third side could be 20cm.

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Which is a greater number -4 or -2 ?

NikAS [45]

Answer:

-2

Step-by-step explanation:

On the number scale, -2 is higher because it is closer to zero and positive numbers than -4.

7 0

3 years ago

Leah would like to earn at least 150 per month. She babysits for $10 per hour and works at an ice cream shop for$12 per hour.Lea

Firdavs [7]

Answer:

The solution in the attached figure

Step-by-step explanation:

The question is

Write and solve a system of inequalities that models this situation

Let

x ---> represent the number of hours Leah babysits

y ---> represent the number of hours Leah works at the ice cream shop

we know that

Leah would like to earn at least 150 per month

The term "at least" means "greater than or equal to"

$10x+12y\geq 150$ ----> inequality A

The solution of the inequality A is the shaded area above the solid line $10x+12y= 150$

The slope of the solid line A is negative m=-5/6

The y-intercept of the solid line A is (0,12.5)

The x-intercept of the solid line A is (15,0)

Leah cannot work more than a total of 25 hours per month

$x+y\leq 25$ ----> inequality B

The solution of the inequality B is the shaded area below the solid line B $x+y=25$

The slope of the solid line B is negative m=-1

The y-intercept of the solid line B is (0,25)

The x-intercept of the solid line B is (25,0)

using a graphing tool

The solution of the system of inequalities is the shaded area above the solid line A and below the solid line B

see the attached figure

3 0

3 years ago

1. Steve wants to buy a guitar. The model he wants costs $500.00. He can put down $100, but will need to take out a loan for the

worty [1.4K]

Answer:

In one year he will pay about $32 in interest

Step-by-step explanation:

Simple Interest

Interest is calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Steve paid a down payment of $100 for a guitar that costs $500, therefore he stills owes P=$500-$100=$400. This is the principal amount that will be paid at an interest rate of 8% = 0.08. In t=1 year, he will pay in interest:

I = $400*0.08*1

I = $32.

In one year he will pay about $32 in interest

4 0

3 years ago

At noon, a tank contained 20 in. of water. After several hours, it contained 16 in. of water. What is the percent decrease of

faust18 [17]

Answer:

20 percent decrease

Step-by-step explanation:

it lost 4 inches of water (20-16) and 4 is a fifth of 20. a fifth is 20 percent so it is a 20 percent decrease

8 0

3 years ago

Calculate the length of missing side , m (10 points)

yawa3891 [41]

Answer:

This is your answer ☺️☺️☺️

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3 years ago