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alisha [4.7K]
2 years ago
10

Which of the following sets of numbers could represent the three sides of a right triangle?

Mathematics
2 answers:
Natalija [7]2 years ago
6 0

Answer:

{42,56,70}

Step-by-step explanation:

a^2 + b^2 = c^2

42^2 = 1764

56^2 = 3136

70^2 = 4900

3136 + 1734 = 4900

Sladkaya [172]2 years ago
6 0

find the multiplicative inverse of

1. 3‐³

2. 10‐¹

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Step-by-step explanation:

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3 years ago
What is the place value of 9 in 49,254
MrRa [10]
9,000 nine thousands
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Choice 3: Kyra makes $700.00 a week in her job. She did such a great job this week that she is going to get a 15% raise next wee
nikklg [1K]

Answer:

15/100 x 700 = 105

Step-by-step explanation:

Consider 15% as 15 because you always consider a percent out of 100, you can remember by the word 'cent' meaning 100.

You need to FIRST find out what the percentage is OF whenever coming across these types of problems.

And the keyword 'of' means to multiply.

5 0
2 years ago
The difference between the areas of the figures is less than 4.
coldgirl [10]

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

3 0
3 years ago
A builder has an 5-acre plot divided into 1 2 -acre home sites. How many 1 2 -acre home sites are there? please answer soon
STALIN [3.7K]

Answer:

10

Step-by-step explanation:

5 divided by 1/2 is 10

3 0
3 years ago
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