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3 years ago

Please solve this! I will give brainliets

Mathematics

1 answer:

torisob [31]3 years ago

5 0

Answer:

5 and 61

Step-by-step explanation:

Using Pythagoras' identity in the right triangles

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

(1)

c² = a² + b² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

c = $\sqrt{25}$ = 5

(2)

c² = a² + b² = 11² + 60² = 121 + 3600 = 3721 ( take the square root of both sides)

c = $\sqrt{3721}$ = 61

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Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.

borishaifa [10]

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as $4\div 2 =2$ . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, <u>5</u>, 10.

Factors of 30 = 1, 2, 3, <u>5</u>, 6, 10, 15, 30.

Factors of 45 = 1, 3, <u>5</u>, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

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3 years ago

How many continents are there

9966 [12]

Answer:

(7) seven continents

By most standards, there is a maximum of seven continents - Africa, Antarctica, Asia, Australia/Oceania, Europe, North America, and South America

7 0

3 years ago

Read 2 more answers

What smaller angle is coterminal with 573°

Kobotan [32]

The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

<u>Explanation:</u>

Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side

In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.

Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...

So,

When angle is 573° then the coterminal angle is

573° - 360 (1) = 213°

573° - 360(2) = -147°

573° - 360 (3) = -507°

Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

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3 years ago

Dilating a triangle changes the size of the triangle but does not change its shape. true or false?

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<h3><u>Answer;</u></h3>

The correct answer<em> </em><em><u>is true</u></em>

<h3><u>Explanation;</u></h3>

<u>Dilation</u> is a type of transformation which stretches and reduces the size of the original figure.

A dilation has a center of dilation and a dilation scale factor. If the scale factor is less than one then the original size will shrink, and if the scale factor is greater than one then the figure will increase in size.

Dilation transformation does not alter the shape of a figure but alters the size by making it bigger or smaller.

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3 years ago

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PreCalc work, Need help with writing piece wise functions with graphs level 2. Giving branliest.

Natalija [7]

The piece-wise linear functions can be written as follows:

$f(x) = -0.5x + 3, x < 5$ .

$f(x) = -5, x = 5$

$f(x) = -x + 9, x > 5$ .

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:

m = (2 - 3)/(2 - 0) = -0.5.

Hence the rule is:

$f(x) = -0.5x + 3, x < 5$ .

When x = 5, the function is constant at -5, hence:

$f(x) = -5, x = 5$

For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:

m = (2 - 3)/(7 - 6) = -1.

Then:

y = -x + b

When x = 6, y = 3, hence the y-intercept is given as follows:

3 = -6 + b

b = 9.

Hence the rule is:

$f(x) = -x + 9, x > 5$ .

More can be learned about linear functions at brainly.com/question/25537936

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2 years ago