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3 years ago

PLEASE HELP ME Find the area of the triangle.

Mathematics

1 answer:

Anika [276]3 years ago

6 0

Answer:

Step-by-step explanation:

area of triangle= 1/2(b×h)

hence 1/2×5×4=5×2= 10

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Is the set closed or not closed under operation? Negative Integers under multiplication

Nutka1998 [239]

The set is not closed

Example

-4 * -2 = 8

8 is not a negative integer

8 0

3 years ago

Figure ABCD is a kite

Mars2501 [29]

The kite is symmetric about line segment BD.
Therefore
AB = BC
3x + 1 = 22
3x = 22 - 1 = 21
x = 21/3 = 7

Similarly,
AD = CD by symmetry
Therefore
4x = CD
4*7 = CD
28 = CD, the required line segment

Answer: 28

4 0

2 years ago

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Express p in terms of q if

Irina-Kira [14]

$p=x^2+\dfrac{1}{x^2}\\\\p=\dfrac{x^4}{x^2}+\dfrac{1}{x^2}\\\\p=\dfrac{x^4+1}{x^2}\qquad(*)$

$q=x+\dfrac{1}{x}\\\\q=\dfrac{x^2}{x}+\dfrac{1}{x}\\\\q=\dfrac{x^2+1}{x}\qquad\text{square both sides}\\\\q^2=\left(\dfrac{x^2+1}{x}\right)^2\\\\q^2=\dfrac{(x^2+1)^2}{x^2}\qquad\text{use}\ \ (a+b)^2=a^2+2ab+b^2\\\\q^2=\dfrac{(x^2)^2+2(x^2)(1)+1^2}{x^2}\\\\q^2=\dfrac{x^4+2x^2+1}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+\dfrac{2x^2}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+2\qquad\text{subtract 2 from both sides}\\\\q^2-2=\dfrac{x^4+1}{x^2}\\\\\text{From (*) we have}\\\\\boxed{p=q^2-2}$

8 0

2 years ago

5 out of nine students in the sophomore class in musicians if there are 450 students in the sophomore class for many of them are

Anarel [89]

Answer:

250 Students are musicians, 200 are not.

Step-by-step explanation:

Decimal Version:

If we take "5 out of every nine students are musicians" and make this a fraction we get 5/9. 5/9 as a decimal is approximately 55.555555555556. 55.555555555556% of 450 = 250. So that means 250 students are musicians.

Fraction Version : See attached image.

3 0

2 years ago

What is the volume of a rectangular pyramid with a height of 5.2 meters and a base 8 meters by 4.5 meters

dezoksy [38]

Answer:

62.4

Step-by-step explanation:

1/3*5.2*4.5*8=62.4

7 0

2 years ago

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