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2 years ago

PLEASE LOOK AT ATTACHMENT-25 POINTS

Mathematics

2 answers:

ioda2 years ago

4 0

Answer:

h = 19.36 cm

Step-by-step explanation:

using Pythagorean theorem

20^2-5^2 = h^2

h^2 = 375

h = 19.36 cm

max2010maxim [7]2 years ago

3 0

Answer:

Step-by-step explanation: 10/2 = 5

20^2= x^2 + 5^2

400=x^2+25

x^2=375

x= 19.4

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Nevan's gross pay was $45,150 last year. The federal income tax withholding from his pay was 16% of his gross

mrs_skeptik [129]

Answer: Nevan will receive a refund of $1,074.

Step-by-step explanation:

I don't remember how I did it but I looked it up on Quizlet.

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3 years ago

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Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...<em>rationalizing </em>

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...<em>taking 2 as a common factor</em>

<em>⇒ </em> $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As<em>, </em> $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

3 years ago

You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.

aliina [53]

Answer:

A. 14040 cubic inches

B. 61 gallons

Step-by-step explanation:

The volume of a cuboid is given by the formula ...

V = LWH

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The volume is 14,040 cubic inches.

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One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.

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JulsSmile [24]

Answer:

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2 years ago

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