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3 years ago

Square root of 75 rounded to the nearest hundredth

Mathematics

2 answers:

timurjin [86]3 years ago

5 0

I think this is the answer ----> 8.7 (8.66 rounded)

Nonamiya [84]3 years ago

5 0

The answer is 5 square root 3

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Convert .2 to a fraction

shepuryov [24]

.2 converted to a fraction would be 1/5

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3 years ago

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Write the trigonometric expression sin(sin−1u−tan−1v) as an algebraic expression in u and v. Assume that the variables u and v r

igomit [66]

Answer:

[u – v√(1 – u²)]/√(1 + v²)

Step-by-step explanation:

Let sin^-1(u) = A, therefore sinA = u.

We know that sin(theta) = opposite/hypothenuse

Therefore, sinA = u/1 and u is the opposite side to angle A while 1 is the hypotenuse. Draw an acute triangle placing u opposite to angle A and 1 as the hypotenuse. By Pythagoras theorem the adjacent would be √(1 – u²).

By doing this, it means cosA = adjacent/hypotenuse = √(1 – u²)/1 = √(1 – u²)

Also, let tan^-1(v) = B, therefore tanB = v.

We know that tan(theta) = opposite/adjacent

Therefore, tanB = v/1 and v is the opposite side to angle B while 1 is the adjacent. Draw an acute triangle placing v opposite to angle B and 1 as the adjacent. By Pythagoras theorem the hypothenuse would be √(1 + v²).

Therefore, sinB = opposite/hypotenuse = v/√(1 + v²) and cosB = adjacent/hypotenuse = 1/√(1 + v²)

Now,

sin[sin^–1(u) – tan^–1(v)] =

sin(A – B) =

sinAcosB – sinBcosA =

u[1/√(1 + v²)] – [v/√(1 + v²)][√(1 – u²)] =

[u/√(1 + v²)] – [v√(1 – u²)/√1 + v²)] =

[u – v√(1 – u²)]/√(1 + v²).

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2 years ago

Slope intercept form for the line with y-intercepts -1 and slope -4

baherus [9]

The slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

We know:

Slope (m) is -4

y-intercept (b) is -1

All you need to do is plug these numbers into the slope intercept formula given above!

y = -4x - 1

Hope this helped!

~Just a girl in love with Shawn Mendes

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3 years ago

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One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length o

docker41 [41]

18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

Solution:

Given that,

A swimming pool is in the shape of a rectangular prism

Length = 20 feet

Width = 10 feet

Height = 5 feet

Find the surface area of prism

$A=2(wl+hl+hw)$

Where, "l" is the length and "w" is the width and "h" is the height

$A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700$

Thus surface area area of prism is 700 square feet

Given that,

One quart of water-resistant paint covers 75 square feet

Therefore,

1 quart paint = 75 square feet

x quart = 700 square feet

This forms a proportion

$1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33$

Thus 9.33 quarts of paint is needed to cover 700 square feet

How many quarts should you buy to paint the swimming pool with two coats of paint

For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint

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3 years ago

Identify the zeros of the function f(x) =2x^2 − 2x + 13 using the Quadratic Formula. SHOW YOUR WORK PLEASE!!

Blababa [14]

Answer:

the answer is 13

Step-by-step explanation:

this is the answer I got if its not it then give me some answer choices

5 0

3 years ago