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VladimirAG [237]
1 year ago
6

40 pts and Brainliest pls give detailed answer :)

Mathematics
1 answer:
horsena [70]1 year ago
4 0

Answer:

58 ft

Step-by-step explanation:

So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: sin(\theta) = \frac{opposite}{hypotenuse}. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

sin(46) = \frac{x}{80}

Multiply both sides by 80

sin(46) * 80 = x

Calculate sin(46) using a calculator (make sure it's in degree mode)

0.7193398 * 80 = x

Simplify

57.547 \approx x

Round this to the nearest foot

58 \approx x

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The equation is true because both sides are identical.
5 0
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A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5/16 tortes. How many
Alenkinab [10]
If you would like to know how many tortes are left, you can calculate this using the following steps:

five chocolate tortes - 2 5/16 tortes = 5 - 2 5/16 = 5 - 37/16 =  80/16 - 37/16 = 43/16 = 2 11/16

The correct result would be D. 2 11/16.
3 0
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Read 2 more answers
How long is the wire supporting the sign
Serga [27]
Use pythagorean theorem
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7 0
3 years ago
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit
Nezavi [6.7K]

Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:

m = (5 - 1)/(5 - 0) = 4/5 = 0.8.

Hence the equation that gives the approximate height after x weeks is:

y = 0.8x + 1.

After 8 weeks, the expected height is:

y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0
2 years ago
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