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Mashutka [201]
3 years ago
8

the base of an isosceles triangle is 10 ft long and the base angles are decreasing at a rate of 2 degree per secnd. find the rat

e of change of the area when the base angles are 45 degree
Mathematics
1 answer:
ryzh [129]3 years ago
4 0
We have the height h is 

<span>h = 5tanθ </span>

<span>a = 5h = 25tanθ </span>
<span>da/dt = 25sec^2θ dθ/dt </span>

<span>Now just plug in your numbers (in radians!)</span>
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2 years ago
In the diagram below of triangle ABC, the medians meet at point G. If CF = 39, what is the length of CG?
LenKa [72]

Applying the centroid theorem of a triangle, the length of CG is: 26.

<em><u>Recall:</u></em>

  • Medians join the vertices to the midpoint of the opposite sides of a triangle.
  • The center that all the three medians intersect at is called the centroid.
  • Based on the centroid theorem, the distant from the centroid to the vertex = 2/3 of the median length.

Triangle ABC is shown in the image attached below. G is the centroid.

CF = 39 (median)

CG = 2/3(CF) ---> Centroid Theorem.

  • Substitute

CG = 2/3(39)

CG = 26

Therefore, applying the centroid theorem of a triangle, the length of CG is: 26.

Learn more about centroid theorem on:

brainly.com/question/20627009

5 0
2 years ago
Exponential and Logarithmic Functions HELP PLS
bulgar [2K]
1) c) y = 500 * 2^x 
In year 1, x = 1 and the population is 500 * 2^1 = 1000
In year 2, this doubles to 500 * 2^2 = 500 * 4 = 2000
ans so on
This model describes the population doubling every year

2) 
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These numbers reduce as x increases because there is a number with an absolute value less than 1 is being raised to the power of x. They also will never totally reach zero or become negative, but will approach zero as x becomes very large. 
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3 years ago
Thea has a key on her calculator marked X. If an integer is displayed, pressing theX key chops off the first digit and moves it
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Step-by-step explanation:

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6 0
3 years ago
A restaurant's profits for the first three weeks of September are $15,000; $9,300; and $12,000. What are the average profits for
Taya2010 [7]

Answer:

$12100

Step-by-step explanation:

Step one:

Given data

The given profits are

First week= $15,000

Second week= $9300

Third week = $12,000

Required

The average profit

Step two:

The number of weeks is 3

hence the average is

= 15000+9300+12000/3

=36300/3

=$12100

5 0
2 years ago
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