MATHEMATICS HIGH SCHOOL

Write the given expression as the sine of an angle
sin40cos20+cos40sin20

Answers

Answer 1

Answer: It's $sin(40+20)=sin60=\frac{\sqrt3}2$

Answer 2

Answer:

Yo sup??

The given expression is in the form

sinAcosB+cosAsinB

we know that

sin(A+B)=sinAcosB+cosAsinB

therefore

sin40cos20+cos40sin20=sin(40+20)

=sin60

=√3/2

Hope this helps.

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Bailey and Jade both play basketball. The table and graph show the total number of games that each of their teams won over six weeks. A coordinate plane labeled Jade's Team. The x-axis is labeled Weeks and the y-axis is labeled Wins. Points plotted are (1, 0), (2, 1), (3, 3), (4, 5), (5, 6), and (6, 7). Bailey’s Team Number of weeks Wins 1 2 2 2 3 3 4 4 5 4 6 6 After which week had the two teams won the same number of games?

Answers

Answer:

week 3

Step-by-step explanation:

week 3 is correct, because both of their teams have 3 wins for week 3 as stated on Bailey's table and plotted on Jade's graph.

Which measurement is the best estimate for the distance between New York City and Washington, D.C.?:A : 331 mm

B : 331 cm

C : 331 m

D : 331 Km

Answers

The best estimate would be D: 331 km

What is the equation of the line that passes through the points (−2, 3) and (2, 7)?x − y = −1

x − y = −2

x − y = − 5

x − y = − 6

Answers

Hello,

y-3=(7-3)/(2+2)(x+2)==>y-3=x+2==>x-y=-5
Answer C

Find the nth term in the sequence
-6,-3,0,3,6

Answers

Answer:

3n-9

Step-by-step explanation:

NO NEED TO EXPLAIN ENJOY :)

First, determine what type of sequence the set of numbers make up. Through simple logic, it is an arithmetic sequence, because one can see by inspection that there is a common difference of 3 (positive 3, just to be a bit more pedantic).

We then use the formula, $t_(n) = a + (n - 1)d$
where $t_(n)$ represents the $n^(th)$ term; a represents the starting term (so the first number in the set of numbers, which in this case is -6); n is the term number (1st, 2nd, 3rd term, etc.); d is the common difference, that is, when you subtract the next term to the previous term – what is that numerical value.

To elaborate a bit more, your 1 st term is -6, 2 nd is -3, 3 rd is 0, etc.

Also, the formula above is something you just learn, unless you learn to proof this formula, which is something different.

So, here, $t_(n) = -6 + (n-1)3$ , which can be expanded to:
$t_(n) = -6 + 3n-3$
Therefore, $t_(n) = 3n - 9$

Which is a complete list of factors of each term in the expression 15 + 20x?

Answers

Answer:

Step-by-step explanation:

Our term is 15+20x

we can divide it to : 15 and 20x

15 : it can be divided by 1 , 3 , 5 , 15

so the factors are : (1,3,5,15)

20x : to make it easy start with 20

20 can be divided by : 1 , 2 , 4 ,5 ,10 , 20

then add x :

so the factors of 20 x are :

1 , 2 , 4 , 10 , 20 , x , 2x , 4x , 5x , 10 x , 20x

Answer:

15: 1, 3, 5, 15

20x: 1, 2, 4, 5, 10, 20, x ^_^

Step-by-step explanation:

What is the mean of the data set? {21, 23, 25, 25, 26, 28, 28, 28, 31, 33}

Answers

Answer:

Mean = 26.8

Step-by-step explanation:

In order to calculate the mean of a data set, we add up all the values in the data set and divide the sum by the number of values.

The formula for the mean is:

$\sf Mean = \frac{\textsf{Sum of all values}}{\textsf{Number of values}}$