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zmey [24]
3 years ago
15

For what value of x does 4x=(1/8)x+5

Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

4x = .125x + 5

3.875x = 5

x = 1.29032...

------------fraction:

4/1x = 1/8x + 5

32/8x = 1/8x + 5

31/8x = 5

Use cross multiplying

x =  40/31


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A pyramid has a regular hexagonal base with the side lengths of 4 and a slant height of 6. Find the total area of the pyramid..
butalik [34]
For get the length of apothem write sin60 = a/4 so sqrt3 /2 = a/4 so a = 4sqrt3 /2

a = 2sqrt3 

so area of base = 6(4*2sqrt3)/2 = 6*4sqrt3 = 24sqrt3 unit squared 

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total area = 24sqrt3 +48 = 24(sqrt3 +2) unit squared 

 hope this will help you 
6 0
3 years ago
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A balloon attached to an atmospheric data-gathering device must be at least 1000 m high to begin recording information. Two spot
maks197457 [2]

The angle of elevation that the instruments have to record to be at the correct height is given as 79°

<h3>How to solve for the angle of elevation</h3>

We have 2x + 70 = 180

We have to find the value of x

2x = 110

x = 55

y/sin x = 225/sin70

This is the use of sine rule

From here we would have

y = 225(sinx/sin70)

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y =  225(sin55/sin70)

y = 196.1378

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tan θ = 1000/196.1378

tanθ = 5.098

θ = tan⁻¹5.098

= 78.90°

Hence the conclusion is that the angle of elevation has to be 78.9 degrees for it to be at the correct height.

Read more on the angle of elevation  here:

brainly.com/question/88158

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6 0
2 years ago
495x43
Mashcka [7]

Answer:a) $5.64  b)  21 ounces of tea leaves

Step-by-step explanation:

Step 1

5 ounces of tea leaves can be bought with  $2.35

1 ounce of tea can be bought with =$2.35/5 =$0.47

12 ounces at the same rate  can be bought with

=12 x $0.47 = $5.64

b) 5 ounces of tea leaves can be bought with  $2.35

? Ounces of tea leaves can be bought with $10

$2.35 =5 ounces of tea

$10 = ? ounces of tea

           = (10 x  5)/2.35

           =50/2.35

=21.27 rrounded to 21 ounces of tea leaves

5 0
3 years ago
The function that represents the amount of caffeine in milligrams remaining
fredd [130]

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

4 0
3 years ago
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Dr. Moore took out a $60,000 simple interest loan to purchase a Tesla. His loan has an interest rate of 4% annually and he plans
svlad2 [7]

Answer:

$72,999.17

Step-by-step explanation:

60000*1.04^5=72999.17414

6 0
2 years ago
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