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deff fn [24]
2 years ago
6

Find the area of Region IV for this figure. A) 16 square units B) 64 square units C) 32 square units D) 36 square units

Mathematics
1 answer:
mamaluj [8]2 years ago
4 0
The answer is D 8 x 2
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What is the area of the largest rectangle that can be inscribed in an isosceles triangle with side lengths $8$, $\sqrt{80}$, and
e-lub [12.9K]
First let's solve the general case for an isosceles triangle of base 2 and height k. If the triangle is drawn so the base is on the x-axis and the apex is on the y-axis, the equation for the line containing the right side is
  y = -k(x-1)
Then a rectangle with x-dimension w will have an area that is the product of this width and the height y = -k((w/2)-1).
  area = w(-k(w/2 -1)) = (-k/2)w² +kw
The derivative of area with respect to w will be zero where the area is a maximum:
  d(area)/dw = 0 = -kw +k
  w = 1 . . . . . . add kw and divide by k
Using the formula for area, we find
  area = 1(-k(1/2-1)) = k/2
This value is 1/2 the total area of the triangle we started with.

If the side lengths of your triangle are 8, √80, and √80, the height will be given by the Pythagorean theorem as
  h = √((√80)² - (1/2·8)²) = √(80-16) = 8
Your triangle's area will be
  triangle area = (1/2)(8)(8) = 32

The maximum area of the inscribed rectangle will be half this value,
  16 square units

4 0
3 years ago
Lina has 12 coins in her purse. D of them are dimes and the rest are quarters. How many quarters does Lina have? How much money
andrey2020 [161]
D=dimes
q=quarters
if she has 12 coins then
12-d=q she has 12-d quarters
we dont know how much money she has unless we know d.
she could have 12 dimes and 0 quarters or 11 dimes and 1 quarter etc. we need more information to solve.
3 0
3 years ago
24 - (6)(-3) equals to what
padilas [110]

Answer:

42

Step-by-step explanation:

6*(-3) = (-18)

24-(-18) = 42

4 0
2 years ago
Read 2 more answers
What critical value of t should be used for a 95% confidence interval for the population mean based on a random
Liula [17]

Answer:

did you get this answer yet?

3 0
2 years ago
If the correlation between height and weight of a large group of people is 0.75​, find the coefficient of determination​ (as a​
Shtirlitz [24]
Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.

The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).

We are given:
R = 0.75

So,
R²  = 0.75²

R² = 0.5625

R²  = 56.25 %
The coefficient of determination tells how much of the trend of dependent data can be explained by the independent data using the linear regression model. So in the given case, Height can explain 56.25% of the trend in the weight.
4 0
3 years ago
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