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CaHeK987 [17]
3 years ago
7

If tanθ= 2/5 find cosθ using identities. This is in quad. 1.

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0

Answer: 5/2

Step-by-step explanation:

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A small town's phone numbers either begin 373 or 377. How many phone numbers are available?
ser-zykov [4K]

Answer:

  • <u><em>There are 20,000 number available.</em></u>

Explanation:

To determine <em>how many phone numbers are available </em>you need to know how many digits the number contains.

I will assume the same number of digits for other similar questions, i.e. 7.

With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.

Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.

Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.

In total, there are 20,000 numbers available.

6 0
3 years ago
A mathematics journal has accepted 15 articles for publication. However, due to budgetary restraints only 9 articles can be publ
Katena32 [7]
15!/(15-9)!= 32432400

i hate these so much hope it helps! :)
4 0
4 years ago
Let m = 6x +5.<br> Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?
aev [14]

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

( 6x + 5 )² - 10 = -18 - 15

Factorize the right hand expression,

-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

m² - 10 = -3m

Now re arrange the equation in the form,

ax² - bx + c = 0

Now back to the equation,

m² + 3m - 10 = 0,

So the equivalent equation will be

m² + 3m - 10 = 0

7 0
4 years ago
Sofia's taco truck lets customers choose 3 ingredients from the list below to add to their tacos. How many groups of 3 different
DIA [1.3K]

Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.

The order in which the ingredients are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 3 ingredients are chosen from a set of 6, hence:

C_{6,3} = \frac{6!}{3!3!} = 20

20 groups of 3 different ingredients can go on a taco.

To learn more about the combination formula, you can take a look at brainly.com/question/25990169

4 0
3 years ago
Find g(9) if g(x) =2 (x+3)-4​
ikadub [295]

Answer:

2

Step-by-step explanation:

g(9)=2 since g(x)=2

6 0
3 years ago
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