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3 years ago

Highest common factor of 24 and 56

Mathematics

1 answer:

avanturin [10]3 years ago

5 0

Highest common factor is 8

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There are 16 red shirts and some black shirts hanging in the store. The ratio of the number of red shirts to that of black shirt

WITCHER [35]

Answer:

If 5 red shirts are added into the box, 7 : 8 is the new ratio.

Step-by-step explanation:

The number of red shirts = 16

Let the number of black shirts = k

Now as the ratio of Red Shirts : Black Shirt = 2 : 3

By RATIO OF PROPORTIONALITY:

⇒ $\frac{16}{k} = \frac{2}{3}$

or, $k = 16 \times \frac{3}{2} = 24$

Hence, the number of Black Shirts in the Store = 24

Now, new number pf red shirts = 16 + 5 = 21

So, by the proportionality again, ratio is

$\frac{21}{24} = 7:8$

Hence, the new ratio of Red shirts : Black Shirts = 7 : 8

7 0

4 years ago

In △ABC, AB = 13, AC = 20, BC = 21. Find the length of the altitude AD

nika2105 [10]

The length of the altitude AD is 12 units.

<h3>How to find the height of a triangle?</h3>

The height of the triangle can be found as follows:

We have to find an angle using cosine law before we can find the height.

Therefore,

20² = 13² + 21² - 2 × 21 × 13 cos B

400 = 169 + 441 - 546 cos B

400 - 610 = - 546 cos B

-210 = - 546 cos B

cos B = -210 / -546

cos B = 0.38461538461

B = cos⁻¹ 0.38461538461

B = 67.3810899783

B = 67.38°

Hence,

sin 67.38° = opposite / hypotenuse

sin 67.38° = AD / 13

cross multiply

AD = 13 sin 67.38°

AD = 11.9999882145

AD = 12 units

learn more on triangle here: brainly.com/question/13387814

#SPJ1

6 0

2 years ago

What number would be next in the sequence? .5, 1, 2, 4, ...

aksik [14]

Answer:

Step-by-step explanation:

Its multiplying the last number by two, so 4x2=8

6 0

3 years ago

4(x-2)-3=9 I have to solve for X but I'm confused

ExtremeBDS [4]

You distribute the 4 to the x and the -2. So the left side of the equation would look like 4x-8-3=9. Add 3 to both sides to get 4x-8=12. Add 8 to both sides and get 4x=20. Divide both sides by 4 and x =5

6 0

4 years ago

Read 2 more answers

(2^7 .〖 5〗^8)/〖10〗^7

Tpy6a [65]

Answer:

= 5.E14 im a genius mark me as brainliest

7 0

3 years ago