What's the distributive property to express 30 + 75

Answers

Answer 1

Answer:

To answer this question you can't use the distributive property.You would just add the addends together equaling 105.

Hope this helps!

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If the terminal ray of β lies in the fourth quadrant and sin (β) = -√3/3 determine cos(β) in simplest form.

Answers

Answer:

$cos(\beta)=(√(6))/(3)}$

Step-by-step explanation:

we know that

If the terminal ray of β lies in the fourth quadrant

then

sin (β) is negative and cos (β) is positive

Remember the trigonometric identity

$sin^2(\beta)+cos^2(\beta)=1$

we have

$sin(\beta)=-(√(3))/(3)$

substitute

$(-(√(3))/(3))^2+cos^2(\beta)=1$

$(3)/(9)+cos^2(\beta)=1$

$cos^2(\beta)=1-(3)/(9)$

$cos^2(\beta)=(6)/(9)$

apply root square both sides

$cos(\beta)=(√(6))/(3)}$

Which statement is true?

Answers

Answer:

Step-by-step explanation:

The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.

The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers.

Answers

Hello,

Here's my solution:

Let n = the lesser of the two consecutive even integers; so what will be a good way to represent the greater of the two consecutive even integers? I say n + 2.

Let's write the equation:
n = ((n+2)/2) + 10

I'll multiply both sides of the equation by 2 to eliminate the denominator, getting:
2n = 2[((n+2)/2) + 10]

This reduces to:
2n = n+2 + 20

Which can be further simplified to:
2n = n+22

Subtracting n from both sides we get:
n = 22

So n, the lesser consecutive even integer is 22. The greater consecutive even integer is 24.

Let's check this solution by substituting n = 22 into our original equation:

n = ((n+2)/2) + 10

22 = ((22+2)/2) + 10
22 = ((24)/2) + 10
22 = (12) + 10
22 = 22 - it checks!

in a laboratory, solution A will be mixed with solution B in a ratio of 3 to 2. what amount of solution A is needed to mix with 750 ML of solution B

Answers

1,125 ML of solution A will be mixed

How many tenths are in 1 whole

Answers

There are ten tenths in 1. 10 over 10 equals 1

10/10=1

10
just think 10 x 10 = 100 ( 100 is the whole )

Keiko paid $21 for a jacket.The jacket is on sale for 30% of the original price.What wa the original price of the jacket?

Answers

30/100=3/10
3 divided by 21 = 7
7*10 = 70!

The anwser is $70 I hoped that helped :3

If you assume that the original price of the jacket equals X, that means that when it was on sale, the equation to finding the price after the 30% sale would be (1-0.3)X=21 (since 30% of X would mean that Keiko should've paid 70%). That would simplify to 0.7X=21. Therefore, the original price (X) will be $30.

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