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zloy xaker [14]
3 years ago
9

Find the unknown number in the equation 13 x 4 = n x 26. (4 points)

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

2

Step-by-step explanation:

13 × 4 = 52

52 ÷ 26 = 2

13 × 4 = 2 × 26

<u>n</u><u> </u><u>=</u><u> </u><u>2</u>

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Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x
Anni [7]

The angle the line joining the given points make with the positive direction of the x-axis is 341.56°

The angle Ф between two points (x₁,y₁) and (x₂,y₂) is gotten from tanФ = (y₂ - y₁)/(x₂ - x₁).

Since (x₁, y₁) = (3b, a) and (x₂, y₂) = (3a, b)

Substituting the values of the variables into the equation, we have

tanФ = (y₂ - y₁)/(x₂ - x₁)

tanФ = (b - a)/(3a - 3b)

tanФ = -(a - b)/3(a - b)

tanФ = -1/3

taking inverse tan of both sides, we have

Φ = tan⁻¹(-1/3)

Φ = -tan⁻¹(1/3)

Φ = -18.43°

Converting to a positive angle, we have

Φ = -18.43° + 360°

Φ = 341.56°

So, the angle the line joining the given points make with the positive direction of the x-axis is 341.56°

Learn more about angle between two points here:

brainly.com/question/25731151

6 0
3 years ago
What is the percent of increase for a population that changed from 438,000 to 561,000?
BARSIC [14]

New number - original number

561,000 - 438,000 = 123,000.

Increased number divided by the original number

123,000 ÷ 438,000 = 0.28

Multiply by 100

0.28 x 100 = 28%

The percentage increase would be 28%

4 0
3 years ago
A rectangle has an area of 0.24 of a square. What are some possibility for the length and width of the rectangle? Tell why
VLD [36.1K]

Answer:

<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>

Step-by-step explanation:

Given that the area is 0.24 square meter

The area of a rectangle is given by

Area=length\times width square units

Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

Area=x\times y = 0.24, with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

Now choosing some values for "x", we have:

Put x = 1

1\times y = 0.24

∴ y = 0.24

Now put x = 0.5 we get

0.5\times y = 0.24

∴ y = 0.48

Put  x = 0.25

0.25\times y = 0.24

∴ y = 0.96

Put x = 2

2\times y = 0.24

∴ y = 0.12

8 0
3 years ago
Read 2 more answers
Here's the photo, sorry i didn't add it before.
Margaret [11]

Answer:

See below.

Step-by-step explanation:

1. m=2

2. m=-3

3. m=5

4. m=1

CAHF

-hope it helps

8 0
2 years ago
Read 2 more answers
AGHHH H SOMEONE PLEASE HELP ME TYSM
victus00 [196]
14= -1/2 +4

subtract 4 from both sides

10= -1/2

times -2 on both sides 

-20=1x

x= -20
8 0
4 years ago
Read 2 more answers
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