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liberstina [14]
2 years ago
15

Find a. Round to the nearest tenth: 2 cm с 150 1050 a = = [? ]cm

Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0

Answer:

a = 1.8 cm

Step-by-step explanation:

Here. we want to find the value of a

To do this, we are going to use the sine rule

it states that the ratio of a side and the sine of the angle that faces the side is a constant for all the sides of a triangle

From the diagram, we have that;

The angle facing a is;

180-15-105 = 60

So, we have that

a/sin 60 = 2/sin 105

a = 2sin 60/sin 105

a = 1.794 cm

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All we have to do is divide the money she spent on fruit by the total and multiply that by 100.
18÷45
.4×100
40
So, Carmen spent 40% of her money on fruit.
6 0
3 years ago
Based on a poll, a newspaper reported that between 52% and 68% of voters would be likely to vote for a schoolbond issue. What is
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Answer:

The margin of error of the poll is 8%.

Step-by-step explanation:

This is a confidence interval. A confidence interval has both a lower end and an upper end.

The true proportion is the midpoint between the two ends.

The margin of error is the absolute difference between the proportion and the ends(which is the same, upper end - proportion = proportion - lower end),

In this problem, we have that:

The lower end is 52%.

The upper end is 68%.

The proportion is (52 + 68)/2 = 60%.

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3 years ago
The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra
kotegsom [21]

Answer

given,

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attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

p-50 = \dfrac{50-52}{4000-3800}(x - 4000)

p-50 = \dfrac{-2}{200}(x - 4000)

p-50 = \dfrac{-x}{100}+ 40

p = \dfrac{-x}{100}+ 90

R(x) = x . p

R(x) = x (\dfrac{-x}{100}+ 90)

R(x) = \dfrac{-x^2}{100}+ 90x)

\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))

\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)

at \dfrac{d}{dx}(R(x)) = 0

\dfrac{-2x}{100}= -90

x = 4500

\dfrac{d^2}{d^2x}(R(x)) = -ve

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

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3 years ago
If you divide the total distance traveled on a car trip (as determined by the odometer) by the elapsed time of the trip, are you
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So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.

If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.

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The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.
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Answer : Seven Units .

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2 years ago
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