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IgorC [24]
3 years ago
5

The audio-visual technician for a hotel ordered 4 boxes of microphone cords. There are 12 cords in each box.

Mathematics
2 answers:
Harman [31]3 years ago
4 0
Your equation to solve is 108-(12×4).
This is 108-48 which is 60.
There were 60 cords at the hotel before the order. Since you need to find the boxes you do 60/12 which is 5.
There were 5 boxes.
Pavel [41]3 years ago
4 0

Answer:  5 boxes.

Step-by-step explanation:

Given : The audio-visual technician for a hotel ordered 4 boxes of microphone cords.

There are 12 cords in each box.

Then, the number of cords in 4 boxes will be 4\times12=48

If there are now a total of 108 cords at the hotel,  then the number of corfds were before the order : 108-48=60

Then, the number of boxes were in hotel before the order :-

=\dfrac{60}{12}=5

Hence, there were 5 boxes of cords in the hotel before the order.

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2 years ago
A surveyor leave her base camp and drive 42 km on a bearing of 032, she then drive 28km on a bearing of 154.How far is she then
aleksklad [387]

Answer:

Step-by-step explanation:

The scenario is represented in the attached photo. Triangle ABC is formed. AB represents her distance from her base camp. We would determine BC by applying the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b. It becomes

AB² = AC² + BC² - 2(AC × BC)CosC

AB² = 42² + 28² - 2(42 × 28)Cos58

AB² = 1764 + 784 - 2(1176Cos58)

AB² = 2548 - 1246.37 = 1301.63

AB = √1301.63

AB = 36.08 km

To find the bearing, we would determine angle B by applying sine rule

AB/SinC = AC/SinB

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Cross multiplying, it becomes

36.08SinB = 42Sin58

SinB = 42Sin58/36.08 = 0.987

B = Sin^-1(0.987)

B = 81°

Therefore, her bearing from the base camp is

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8 0
2 years ago
-4r-8(r-6)=7(5r-1)+8
KATRIN_1 [288]

Answer:

r = 1

Step-by-step explanation:

In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.

Distributive Property:

a(b+c) = ab + ac

Now, lets solve this:

-4r-8(r-6)=7(5r-1)+8\\-4r-8r+48=35r-7+8\\-12r+48=35r+1\\48-1=35r+12r\\47=47r\\r=\frac{47}{47}\\r=1

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3 years ago
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Answer:

10

Step-by-step explanation:

To find the area of a parallelogram you need to use the expression A = bh

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After this, you need to solve (10)

7 0
2 years ago
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Answer:

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