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bearhunter [10]

3 years ago

6

Finding missing angles

1 answer:

hichkok12 [17]3 years ago

5 0

Meant to put the letter A

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A store had homemade sweaters on sale for $20 off the original price. Aunt Ethel jumped at the bargain and bought a sweater for

Harrizon [31]

Original price would be $675

$20 multiply 15 to get $300 being taken off.

add 300 to 375 you get $675

8 0

3 years ago

Use substitution to solve the system of equations.<br> y=-4x+11<br> 3x+y=9

Sloan [31]

Answer:

(2,3)

Step-by-step explanation:

(Brainliest please)

7 0

2 years ago

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

<em>⇒ </em> $cos(45-60)=\frac{( 1.41+2.44)}{4}$ <em />

<em>⇒ </em> $cos(45-60)=\frac{( 3.85)}{4}$ <em />

⇒ $cos(45-60)=0.96$

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

3 0

3 years ago

An architectural drawing lists the scalebas 1/4" = 1'. If a bedroom measures 6 3/4" by 4 1/2", how large is the bedroom

Cerrena [4.2K]

0.25 " = 1 '

6.75 " = (6.75 / 0.25) = 27 '
4.50 " = (4.50 / 0.25) = 18 '

bedroom is : 27 ' by 18 '

5 0

3 years ago

Use the order of operations and the digits 2, 4, 6, and 8 to create an expression with a value 2.

Fed [463]

Answer:

$8 + {2}^{2} - (4 + 6)$

Step-by-step explanation:

We want use the order of operations and the digits 2, 4, 6, and 8 to create an expression with a value 2.

The expression is:

$8 + {2}^{2} - (4 + 6)$

The order of operations is PEDMAS

Deal with parenthesis first,

$8 + {2}^{2} - 10$

Next deal with exponent

$8 + 4 - 10$

No Division and Multiplication so skip to Addition.

$12 - 10$

Finally subtract to get:

$2$

6 0

3 years ago