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Alex17521 [72]
3 years ago
11

Marbleslides: Lines

Mathematics
1 answer:
Arada [10]3 years ago
3 0

Answer:

ok

Step-by-step explanation:

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Verify which of the following are identities.
ch4aika [34]

Answer:

C

Step-by-step explanation:

Equation 1:

1+\frac{\cos^{2} \theta}{\cot^{2} \theta(1-\sin^{2} \theta)}\\ \\ 1+\frac{\sin^{2} \theta}{\cos^{2} \theta} \\ \\ 1+\tan^{2} \theta \\ \\ \sec^{2} \theta

Equation 2:

15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cot \theta}{\csc \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cos \theta / \sin \theta}{1/\sin \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\cos \theta \right) \\ \\ 15\cos \theta \left(\frac{1-\cos^{2} \theta}{\cos \theta} \right) \\ \\ 15(1-\cos^{2} \theta) \\ \\ 15\sin^{2} \theta

6 0
2 years ago
On the same winter morning, the temperature is -28f in Anchorage,Alaska and 65f in Miami,Florida. How many degrees warmer was it
Xelga [282]
C. 90 degrees warmer
5 0
3 years ago
Read 2 more answers
A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init
Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<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.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is b = 25, the slope is of a = 0.09, and the function is:

A(x) = 0.09x + 25

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is b = 0, the slope is of a = 0.14, and the function is:

B(x) = 0.14x

The plans cost the same for x minutes of calling, considering that:

B(x) = A(x)

0.14x = 0.09x + 25

0.05x = 250

x = \frac{250}{0.05}

x = 5000

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

6 0
3 years ago
A class comprises 26 students. During a mathematics test, one student made 12 mistakes but everyone else in the class made fewer
Rainbow [258]

Answer:

See explanation

Step-by-step explanation:

There are 26 students at the class.

During a mathematics test, one student made 12 mistakes but everyone else in the class made fewer mistakes than he did. So, all other students made 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 or 0 mistakes (12 different possibilites).

Suppose that at most 2 students in the class made the same number of mistakes. Hence, at most 12\cdot 2=24 students satisfy this condition. If we add that student who made 12 mistakes, the maximum total number of students in the class could be

24+1=25 students.

But the total number of students is 26, so our hypothesis is incorrect, thus there are at least 3 students in the class who made the same number of mistakes.​

3 0
4 years ago
Acre Middle School spent $1443.20 on 55 math books. How many did each book cost
Lunna [17]

Answer:

$26.24

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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