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3 years ago

Help me please,Thanks

Mathematics

1 answer:

timofeeve [1]3 years ago

6 0

The area formula for a triangle is: ½b•h, where b is the base and h is the height. So half of the base, 4, is 2. Now multiply 2 by the height, 6. That will give you an answer of 12. I hope this was helpful!

A=½b•h

A=½4•6

A=2•6

A=12

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A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

Halving diameter:

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

Halving height:

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

2 years ago

135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?

lesya692 [45]

Answer:

B) 11/27 ; c.) 5/27; D.) 17/27; E.) 3/13 ; F) 5/9

Step-by-step explanation:

- - - - - <5hrs - - (5 - 10hrs) - - (>10 hrs) - - Total

Male (M) 25 - - - - -- 25 - - - - - 20 - - - - 70

Female (F) 20 - - - - - - 30 - - - - - 15 - - - - 65

Total - - - 45 - - - - - - 55 - - - - - 35 - - - - 135

Probability = (required outcome / Total possible outcomes)

B) probability that a student studied(5 - 10 hours)

P(5 to 10 hours) = n(5 - 10 hours) / n(total) = 55/135 = 11/27

C) Find the probability that a student is a male and spends less than 5 hours studying

P(male and < 5 hours) = n(male ∩> 5 hours) / n(total) = 25/135 = 5/27

D) Find the probability that a student is a female or spends more than 10 hours studying.

P(female) + P(> 10hours) - P(Female ∩ > 10 hours) = 65/135 + 35/135 - 15/135 = 85/135 = 17/27

E.) Find the probability that a student spends more than 10 hours studying given that the student is a female?

n(Female ∩ > 10 hours) / n(Female)

15/65 = 3/13

F) Find the probability that a student is a male given that he spends less than 5 hours studying

n(male ∩ < 5hrs) / n(< 5 hours) = 25/ 45 = 5/9

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3 years ago

Please help!!!!!!!!!!!!!!

xeze [42]

Answer:

Step-by-step explanation:

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2 years ago

What is the answer for 4i over 3+7i

icang [17]

Answer:

see explanation

Step-by-step explanation:

given $\frac{4i}{3+7i}$

To rationalise multiply the numerator/denominator by the conjugate of the denominator

the conjugate of 3 + 7i is 3 - 7i, hence

$\frac{4i(3-7i)}{(3+7i)(3-7i)}$

distribute the numerator/denominator

= $\frac{12i-28i^2}{9-49i^2}$

[ note that i² = - 1 ]

= $\frac{12i+28}{9+49}$

= $\frac{28+12i}{58}$

= $\frac{28}{58}$ + $\frac{12}{58}$ i

= $\frac{14}{29}$ + $\frac{6}{29}$ i ← in standard form

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2 years ago

Write 750 g as a fraction of 5 kg. Give your answer in its simplest form.

Valentin [98]

Answer:

3/20 is the answer.......

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2 years ago