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4 years ago

A sinusoidal function whose period is 1/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.

Mathematics

1 answer:

Elina [12.6K]4 years ago

8 0

Answer:

brainly.com/question/10395117

Step-by-step explanation:

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Find the area of a regular pentagon with an apothem of 11 units. *

docker41 [41]

Answer:

<h2>440 square units</h2>

Step-by-step explanation:

We can find half of a side of the pentagon with the expression

$tan(36\°)=\frac{s_{half} }{11}$

Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.

$s_{half} \approx 8$

Therefore, half of a side is 8 units long, which means each side measures 16 units.

Now, the area of a penthagon is defined by

$A=\frac{p \times a}{2}$

Where $p$ is the perimeter and $a$ is the apothem. Where the perimeter is the sum of all sides, which is 80 units.

$A= \frac{80 \times 11}{2} =440 \ u^{2}$

Therefore, the right answer is the second choice.

3 0

3 years ago

Work out the gradient of the straight line through (-2, 3) and (1,9)

aliina [53]

Answer:

Step-by-step explanation:

you find the gradient by doing y-y`/x-x`

so 3-9/-2-1 which gives you -6/-3 which is 2

8 0

3 years ago

A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

<em><u>Substituting given values we get,</u></em>

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

5 0

4 years ago

What's 76% as a fraction in simplest form

storchak [24]

76%

76 ÷ 100 = 0.76

76/100

GCF = 4

76 ÷ 4 = 19
100 ÷ 4 = 25
19/25

76% = 0.76 = 76/100 = 19/25

76% in simplest form as a fraction is 19/25

4 0

4 years ago

Samuel is a teacher and takes home 75 papers to grade over the weekend. He can grade at a rate of 7 papers per hour. How many pa

Alina [70]

Answer: 19

Step-by-step explanation:

75 papers need to be marked

He grades 7 papers per hour

To find out how many paper he graded in 8 hours:

7 x 8

(7 is the number of papers graded in an hour)

(8 is the number of hours)

7 x 8 = 56

(56 is the number of papers he graded in 8 hours)

Now, there was a total of 75.

To find the remaining number of test sheets:

75 - 56

(75 is the total number of papers)

(56 is the number of papers graded)

75 - 56 = 19

Therefore, there are 19 papers remaining to grade.

7 0

3 years ago