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3 years ago

Write and solve an equation to answer the question. What number is 28% of 75?

Mathematics

1 answer:

tankabanditka [31]3 years ago

7 0

Answer:

Step-by-step explanation:

28% of 75 is represented by

28/100* 75

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Mumz [18]

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3 years ago

A triangle has sides with lengths 5, 12, and 13. Verify this is a Pythagorean triple. Approximate the acute angles in this trian

djyliett [7]

A triangle with lengths 5, 12, and 13 is a Pythagorean triple

The approximate acute angles are 22.6° and 67.4°

Pythagorean triple

Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:

c² = a² + b²

A triangle whose sides form a Pythagorean triple is called a right angle triangle.

The longest side is the hypotenuse side.

Therefore,

5² + 12²
25 + 144 = 169
√169 = 13

Therefore,

5² + 12² = 13²

This means the triangle is a Pythagorean triple.

<h3>Acute angles</h3>

Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.

Therefore, let's find them

tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
180 - 22.6 - 90 = 67.4°

learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults

7 0

2 years ago

Read 2 more answers

Find the four rational numbers and irrational numbers between 2/5 and 5/6

Savatey [412]

The four?

Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.

The average will be between the numbers:

$\frac 1 2 (\frac 2 5 + \frac 5 6) = \dfrac{37}{60}$

That's a lot of work to get a number in between. We can just see

$\frac 1 2$
is between the two numbers.

The mediant, or freshman addition, will always be in between:

$\dfrac{2 + 5}{5 + 6} = \dfrac{7}{11}$

2/5=.4 and 5/6 is about .83, so

$.6 = \frac{6}{10}$

is in between as is .7, .41, .530940394 and as many rationals as we care to generate.

To get irrationals we could just add a teeny irrational to the ones we just generated, like $\frac{6}{10} + \frac{\pi}{100}$

We could just change that denominator a bit and get as many as we like.

But let's get some square roots. The geometric mean will be between

$\sqrt{ \dfrac 2 5 \cdot \dfrac 5 6 } = \dfrac{1}{\sqrt{3}}
$

That's the tangent from one of trig's biggest cliches, but I digress. It's in between.

While we're on trig cliches,

$\dfrac{1}{\sqrt{2}}$

is in between as well.

Keeping with the trig theme, also in between are

$\dfrac{\pi} 6$

and

$\dfrac{\pi}{4}$

the angles associated with the some of the above trig function values.

We could obviously go on as long as we cared to.

7 0

3 years ago

Find the 10th term of the sequence 1,10,19,28,...

Rainbow [258]

For the first one the nth term is 9n - 8 so the 10th term is 9x10 - 8 = 90-8 = 82

For the second one the nth term is ⅓n + ⅓ so the 11th term is ⅓x11 +⅓ = 3.9999 = 4

5 0

3 years ago

Describe fully the single transformation which takes shape a to shape b

Leni [432]

Answer:

<h2>Reflection across the y-axis and 1 unit shift downside.</h2>

Step-by-step explanation:

Notice that shape A is in the second quadrant and shape B is in the first quadrant. That means there was a reflection across y-axis and then the figure was shifted one unit downside.

Therefore, the transformation was reflection across the y-axis and 1 unit shift downside. Which is a rigid transformation, because the shape and size didn't change.

4 0

3 years ago