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3 years ago

SinA=(7/25), determine CosA and TanA exactly

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer:

Cos A = 24/25 & Tan A = 7/24

Step-by-step explanation:

See the attached figure.

Construct a right triangle and sign one angle as A

So, Sin A = opposite/hypotenuse = 7/25

∴hypotenuse = 25 and opposite = 7

∴ adjacent = √(25² - 7² ) = √576 = 24

∴ Cos A = adjacent/hypotenuse = 24/25

And

Tan A = opposite/adjacent = 7/24

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An SRS of 27 students at UH gave an average height of 5.6 feet and a standard deviation of 1 feet. Construct a 90% confidence in

andriy [413]

Answer: f) None of the above

= ( 5.283, 5.917)

Therefore at 90% confidence interval (a,b) = ( 5.283, 5.917)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 5.6ft

Standard deviation r = 1.0ft

Number of samples n = 27

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

5.6+/-1.645(1.0/√27)

5.6+/-1.645(0.192)

5.6+/-0.317 ft

= ( 5.283, 5.917)

Therefore at 90% confidence interval (a,b) = ( 5.283, 5.917)

3 0

4 years ago

A hemispherical tank is filled with water and has a diameter of 14 feet. If water

tigry1 [53]

Answer:

$44,826.72\ \text{pounds}$

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

$V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3$

If water weighs 62.4 pounds per cubic foot, it means

$V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}$

So, the total weight of the water is $44,826.72\ \text{pounds}$ .

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3 years ago

Bob is buying the soccer team ice cream after the game today eight players my ice cream cookies in five please my ice cream cone

blsea [12.9K]

Answer:$18.75

Step-by-step explanation: first multiply 8 times 1.25 then multiply 5 times 1.75 then add both of your numbers and put the decimal point back

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4 years ago

Evaluate t-u/v when t=2 u=(-8) v(-1/2)

Dovator [93]

Simple, plug n chug...

$t- \frac{u}{v}$

t=2

u=-8

v=-0.5

Now, plug in what you have,

$2- \frac{-8}{-0.5}$

$\frac{-8}{-0.5} =16$

Now,

2-16=-14

Thus, your answer, -14.

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3 years ago

Silvia hiked a 30-mile trail in 3 days. The first day, she hiked 50% of the total distance. The second day, she hiked 25% of the

Reptile [31]

Answer:

she hiked 3.75 miles

Step-by-step explanation:

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3 years ago