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3 years ago

The diagram shows a right-angled triangle and a parallelogram.

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

h = 12

Step-by-step explanation:

area of triangle = 16x9x0.5= 72 cm^2

area of parallelogram = 72 x 5 = 360 cm^2

area of parallelogram = base x height(h)

360 = 30h

divide both sides by 30

h = 12

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Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$

Number of ways of choosing 3 students From all males

$n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220$

The probability that all are male of choosing '3' students

$P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }$

$P(E) = \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}$

P(E) = 0.067 = 6.71%

Final answer:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

3 0

3 years ago

11. What is the reciprocal of 6/5? OA. 12/20 OB.11/5 OC.1 OD.576

Elanso [62]

Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

3 0

3 years ago

Read 2 more answers

James and Michael are the partners in a local business. They needed $480,000 to start the

larisa [96]

Answer:

James invested $160,000

Step-by-step explanation:

- In total, they needed $480,000 to start the business

- 1:2 ratio means one of them payed double the amount than the other

so the expression would be,

2x + x = 480,000

Let x represent how much they each need to invest

the expression can be simplified to,

3x = 480,000

now you need to get x alone, this would be done be dividing both sides by 3

$\frac{3x}{3} = \frac{480,000}{3}\\x = 160,000$

James invest $160,000

Michael invest $160,000 x 2 = $320,000

and if you add them together, you get the total amount

$320,000 + $160,000 = $480,000

Let me know if you have any questions !

7 0

2 years ago

Read 2 more answers

What is the slope of the line that is parallel to the line shown?

ELEN [110]

Hey there! :D

All parallel lines have the same slope. They would need to, otherwise, they would intersect or come together at an angle eventually.

So, let's find the slope.

I'm going to use rise over run. (Remember, when moving to the left, you make the number negative.

rise=1 run= -3

-1/3 <== the slope

"C" is the correct answer.

I hope this helps!
~kaikers

4 0

3 years ago

A triangle has the side lengths 5,7 and 11

Assoli18 [71]

To solve this problem you use the "Triangle Inequality Theorem" it states that: any side of a triangle is always shorter than the sum of the other two sides.

Using this theorem we check each side

5+7=12: this is greater than the other side which is 11, so this works

11+7= 18: this is greater than the other side which is 5, so this works

5 + 11= 16: this is greater that the other side which is 7, so this works

4 0

3 years ago