MATHEMATICS MIDDLE SCHOOL

Sin 300° = 2 sin 150° cos 150° use exact values to show it is true

Answers

Answer 1

Answer:

Answer:

see explanation

Step-by-step explanation:

left side = sin300° = - sin60° and sin60 = $(√(3) )/(2)$ , thus

sin300° = - $(√(3) )/(2)$

right side

sin150° = sin30° = $(1)/(2)$ and

cos150° = - cos30° = - $(√(3) )/(2)$ , thus

2sin150°cos150°

= 2 × $(1)/(2)$ × - $(√(3) )/(2)$ = - $(√(3) )/(2)$

left side = right side ⇒ True

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Lydia tosses two six-sided number cubes.A) List the sample space.B) What is the probability of Lydia rolling pairs of the same number?C) What is the probability that at least one number will be a 3?
What is -3.45 minus positive 2.2

Please help me use the attachment to see the question

Answers

$(m^(2) -m+3)+(m-1)$
$= m^(2) -m+3+m-1$ . . . . . . . . (opening the brackets)
$= m^(2) -m+m+3-1$ . . . . . . . . (collecting like terms)
$= m^(2) +2$

What is 199000/10000 as a decimal?

Answers

Answer:

19.9

Step-by-step explanation:

divide 199000 by 10000

=19.9

Answer:

19.9

Step-by-step explanation:

clark gives 3/10 of his allowance to charity. What percent of his allowance does clark give to charity?

Answers

The percentage of his allowance that Clark gave to charity will be 30%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Clark gives 3/10 of his allowance to charity. Then the percent of his allowance that Clark give to charity is given as,

P = (3/10) x 100

P = 0.30 x 100

P = 30%

The percentage of his allowance that Clark gave to charity will be 30%.

More about the percentage link is given below.

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Clark gave 30% of his allowance to charity because if you multiply both sides of the fraction by 10, you get 30/100, which equals 30%.

PLEASE HELP I GIVE THANKS

Answers

Like earlier take the bigger shape and divide the smaller one.
8.4 divide by 4 and you get 2.1.

a) Scale factor is = Second Value / First Value
= 8.4 / 4 = 2.1

b) 0.25 = Second Value / First value

0.25 = Second Value / 9

Second value = 0.25 * 9 = 2.25.

The value of y varies directly with the value of x, and y = –21 when x = 3.Which equations represent the relationship between y and x?

Choose exactly two answers that are correct.

A. -7x = y

B. y/x = -7

C. x/y = 7

D. xy = 7

Answers

$y=-21~~~~~x=3 \n \n a)-7x=-7*x\rightarrow-7*3=-21~~(\boxed{\checkmark})~~because~~\boxed{y=-21}\n \n b) (y)/(x) =-7~~~~~ \rightarrow (-21)/(3)=-7 ~~ (\boxed{\checkmark})$

Jennifer is renting a bicycle to ride along the beach front the rental charges include a fixed charge of $3,and an additional cost of a dollar 75 per hour which equation represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours?A.T=3n-1.75
B.T=1.75n-3
C.T=3n+1.75
D.T=1.75n+3

Answers

The equation that represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours is T=1.75n+3. Hence, the correct option is D.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

It is given that Jennifer is renting a bicycle to ride along the beach front the rental charges include a fixed charge of $3,and an additional cost of a dollar 75 per hour.

WE need to find which equation represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours.

The equation becomes;

T=1.75n+3

Therefore, the equation that represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours is T=1.75n+3.

Hence, the correct option is D.

Learn more about equations here;

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Answer:

Step-by-step explanation:

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Wow the teacher gave me so much homework was worderin if u people could help me with a few problems..-4a=4812+-132v+914=-23