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4 years ago

Given sin A = .45 find angle A in degrees. Round to the nearest hundredth.

Mathematics

1 answer:

murzikaleks [220]4 years ago

5 0

Answer:

26.74

Step-by-step explanation:

sinA = .45

A=sin^-1 (.45)

A=26.74368

Hundredth equals to the 2nd number after the decimal point, which is "4".

FYI, Tenths is the first after the point, thousandths is the third and so on....

So round it off, the "3" is smaller than 5 which makes the rounded number the same. So 26.74 still remains 4.

If it is 26.745, then the value will be 26.75 as the thousandths place is bigger equals to "5" , adding a one to the rounded off number

Hope this isn't too confusing to. be said in wordss

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The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet

Maru [420]

Answer:

$Area = 1560ft^2$

Step-by-step explanation:

Given

See attachment for playground

Required

Determine the area

The playground is a trapezoid. So;

$Area = \frac{1}{2}(Sum\ parallel\ sides) * Height$

From the attachment, the parallel sides are: 68ft and 36ft

The height is: 30ft

So, the area is:

$Area = \frac{1}{2}(68ft + 36ft) * 30ft$

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3 years ago

In APQR, the measure of ZR=90°, RQ = 55, PR = 48, and QP = 73. What ratio represents the sine of ZQ?

Irina18 [472]

To find the angle Q we can us the sin law so:

$\frac{\sin (Q)}{48}=\frac{\sin (90)}{73}$

So we can solve for Q so:

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1 year ago

Slope intercept form

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3 years ago

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3 years ago

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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19

kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

$y = A \cdot r^{t}$

Where:

$A$ - Initial population.

$r$ - Increase rate.

$t$ - Time

$y$ - Current population.

The initial population and increase rate are, respectively:

$1200 = A \cdot r^{0}$

$A = 1200$

$1700 = 1200 \cdot r^{4}$

$r^{4} = \frac{1700}{1200}$

$r^{4} = \frac{17}{12}$

$r = \sqrt[4]{\frac{17}{12} }$

$r \approx 1.091$

The exponential model that predicts the population of rabbits is:

$y = 1200\cdot 1.091^{t}$

Lastly, the expected population for the year 1996 is:

$y = 1200\cdot 1.091^{6}$

$y\approx 2023.624\,rabbits$

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4 years ago