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Charra [1.4K]
3 years ago
7

Given the right triangle shown below, prove cos2(θ) + sin2(θ) = 1.

Mathematics
1 answer:
wel3 years ago
3 0

Answer:

-definition of cosine

-definition of sine

-Pythagorean Theorem

-Substitution

-laws of exponents

Step-by-step explanation:

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Biologists studying wildlife in the state parks want to estimate the average weight of chipmunks. They measured the weights of 5
bazaltina [42]

Answer:

The average weight of the chipmunks is 91 grams

Step-by-step explanation:

The mean of a dataset gives the average which is obtained by taking the sun of each data value and dividing by the number of samples. The median however requires the arrangement of data in terms of size ze (ascending) and taking the mid value (value which falls in the 50% mark). For the data above, the most appropriate measure of the average is the mean. Hence, the prediction which matches the data is ; The average weight of the chipmunks is 91 grams.

7 0
2 years ago
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josh is 6 years older than kim's age. the sum of their ages is less than 31. what is the oldest kim could be?
Yuliya22 [10]

Answer:

24 Years Old

Step-by-step explanation:

Less than 31 is 30 and 30-6=24

4 0
3 years ago
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A track-and-field athlete releases a javelin. The height of the javelin as a function of time is shown on the graph below. Use t
Georgia [21]
Part 1:
 
 For this case we must see in the graph the axis of symmetry of the given parabola.
 We have then that the axis of symmetry is the vertical line t = 2.
 Answer:
 
The height of the javelin above the ground is symmetric about the line t = 2 seconds:

 
Part 2:

 
For this case, we must see the time t for which the javelin reaches a height of 20 feet for the first time.
 We then have that when evaluating t = 1, the function is h (1) = 20. To do this, just look at the graph.
 Then, we must observe the moment when it returns to be 20 feet above the ground.
 For this, observing the graph we see that:
 h (3) = 20 feet
 Therefore, a height of 20 feet is again reached in 3 seconds.
 Answer:
 
The javelin is 20 feet above the ground for the first time at t = 1 second and again at t = 3 seconds
5 0
3 years ago
A student was given two data sets, Set A and Set B. Which of the following
Elden [556K]

Answer:

I don't know were the statement are but here are the specs of each set

Step-by-step explanation:

Set A

mean; 83.83333

median; 87.5

mode; it has no mode

range; 147

Set B

mean; 67.08571

median; 3

mode; no mode

range; 376

hope this helps sorry for late answer :)

5 0
3 years ago
Need Help Plz!! For 10 points
Tems11 [23]
Shape B because a pentagon has 5 sides

5 0
3 years ago
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