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Elena L [17]
2 years ago
8

An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 3 1/2" by 5 1/4" on the drawing, how large is the b

edroom?
A. 20 ft by 30 ft
B. 7ft by 10.5 ft
C. 14 ft by 21 ft
D. 10 ft by 15 ft
Mathematics
1 answer:
Alla [95]2 years ago
7 0

Answer:

C. 14 ft by 21 ft

Step-by-step explanation:

First you want to set up an equation:

3 1/2" over x' = 1/4" over 1'

7/2 = 1/4x

14' = x

Next, do the same thing for the other side of the drawing (5 1/4")

5 1/4" over y' = 1/4" over 1'

21/4 = 1/4y

21' = y

So the answer is 14 ft by 21 ft (C)

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Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?
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Answer:

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

Step-by-step explanation:

 Given : \cos (180^{\circ}-q)=-\cos q

We have to write which identity we will use to prove the given statement.

Consider \cos (180^{\circ}-q)=-\cos q

Take left hand side of given expression \cos (180^{\circ}-q)

We know

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

Comparing , we get, a= 180° and b = q

Substitute , we get,

\cos (180^{\circ}-q)=\cos 180^{\circ}  \cos (q)+\sin q \sin 180^{\circ}

Also, we know \sin 180^{\circ}=0 and \cos 180^{\circ}=-1

Substitute, we get,

\cos (180^{\circ}-q)=-1\cdot \cos (q)+\sin q \cdot 0

Simplify , we get,

\cos (180^{\circ}-q)=-\cos (q)

Hence, use difference identity to  prove the given result.

7 0
3 years ago
Read 2 more answers
Someone help please this is for trigonometry
Softa [21]
Hi there!

Something really good to remember about trigonometry is SOHCAHTOA. I won’t dive into too much detail about it, but you should google it for future assignments.

Anyways,

tan50°=14/AB
ABtan50°=14
AB=14/tan50°
AB=11.75

cos50°=14/AC
ACcos50°=14
AC=14/cos50°
AC=21.78

For the measure of angle C you can use a theorem called the third angle theorem. In every single possible triangle, the sum of all three angles adds up to 180°. You can set up an equation like so...

angleC=180-(90+50)
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3 years ago
Which number is farthest from 0? 8, -3, -12, 5
Vaselesa [24]

Answer:

-12

Step-by-step explanation:

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2 years ago
Mr. Jay checks the pantry to see what he needs to get at the grocery store. 1 point
inessss [21]

Answer:

35

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4 times 8 +3=35

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-4(5k-7) +2k= -2(9k+5)
Blababa [14]

Answer:

no solutions

Step-by-step explanation:

-4(5k-7) +2k= -2(9k+5)

Distribute

-20k +28 +2k = -18k -10

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-18k +28 = -18k -10

Add 18k to each side

-18k+18k +28 = -18k+18k  -10

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