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4 years ago

GEOMETRY HELP! This is my last question and I don’t know what the answer is! Please help!

Mathematics

1 answer:

Angelina_Jolie [31]4 years ago

7 0

Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.

By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.

This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.

The total area of the given figure is then 34+6, or 40, square units.

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The following probabilities are based on data collected from U.S. adults. Individuals are placed into a weight category based on

sweet-ann [11.9K]

Answer:

the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

Step-by-step explanation:

Given the data in the question;

Underweight Healthy Weight Overweight (not Obese) Obese

Probability 0.017 0.377 0.343 0.263

P( underweight) = 0.017

P( Healthy Weight) = 0.377

P( Overweight (not Obese) ) = 0.343

P( Obese ) = 0.263

now, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range will be;

P( weigh less than overweight(but not obese) = P( underweight) + P( Healthy Weight)

P( weigh less than overweight(but not obese) = 0.017 + 0.377

P( weigh less than overweight(but not obese) = 0.394

Therefore, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

6 0

3 years ago

A biologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. SHe

skelet666 [1.2K]

This equation can be solved graphically by plotting the equations
f(x) = 3^x
and
g(x) = 5x-1.

The x-coordinate of the point(s) of intersection is the solution.

_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)

4 0

4 years ago

Please explain how to solve this<br> (12+5i) - (9-2i)<br> i have answers but dont understand

zloy xaker [14]

Answer: 3 + 7i

Step-by-step explanation:

Equation expanded: 12 + 5i - 9 + 2i // now simplfy

12 - 9 = 3

5i + 2i = 7i

// together, we get

3 + 7i

7 0

3 years ago

Read 2 more answers

Jayden already owns 47 stamps, and additional stamps are priced at 0.05 per dollar. How

OleMash [197]

Answer: If its .05 cents then only 20 cents to finish the collection I got that because 51 - 47= 4 and if it is .05 cents then I did 4 * 5 = 20

7 0

4 years ago

A bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people

mihalych1998 [28]

Answer:

5 minutes.

Step-by-step explanation:

We have been given that a bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people per minute leave the bank after receiving service.

We will use flow time formula to solve our given problem.

$\text{Flow time}=\frac{\text{Number of units produced}}{\text{Duration of time period}}$

$\text{Flow time}=\frac{10}{2}$

$\text{Flow time}=5$

Therefore, on average bank customers wait in line for 5 minutes.

5 0

3 years ago