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2 years ago

Which is the correct use of the distributive property?

Mathematics

2 answers:

sergiy2304 [10]2 years ago

4 0

Answer:

42+18=6(7+3)

Step-by-step explanation:

6x7=42 and 6x3=18

Rzqust [24]2 years ago

4 0

The answer is 42 + 18 = 6 (7+3)

Explanation 42 + 18 = 60 and 6 (7+3) = 60 the two expression both equal 60

I know someone already answered but they gave the wrong explanation so just wanted to make sure you understood

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The terms in a sequence are given by 3 + 2x. what are the first 6 terms in the sequence?

enyata [817]

First 6 terms are 5, 7, 9, 11, 13 and 15

Step-by-step explanation:

Step 1: Given terms in the sequence = 3 + 2x. Find the first 6 terms.

a(1) = 3 + 2 × 1 = 3 + 2 = 5

a(2) = 3 + 2 × 2 = 3 + 4 = 7

a(3) = 3 + 2 × 3 = 3 + 6 = 9

a(4) = 3 + 2 × 4 = 3 + 8 = 11

a(5) = 3 + 2 × 5 = 3 + 10 = 13

a(6) = 3 + 2 × 6 = 3 + 12 = 15

4 0

2 years ago

Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. Use "∧" to

bekas [8.4K]

The algebraic proof shows that the angles in an equilateral triangle must equal 60° each

<h3>Laws of cosines </h3>

From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.

Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are

cos A = (b^2 + c^2 - a^2)/2bc

cos B= (a^2 + c^2 - b^2)/2ac

cos C = (a^2 + b^2 - c^2)/2ab

Now, given that the triangle is equilateral, with each of the side lengths equal to s

That is, a = b = c = s

Then, we can write that

cos A = (s^2 + s^2 - s^2)/(2s×s)

cos A = (s^2 )/(2s^2)

cos A = 1/2

cos A = 0.5

∴ A = cos⁻¹(0.5)

A = 60°

Also

cos B = (s^2 + s^2 - s^2)/(2s×s)

cos B = (s^2 )/(2s^2)

cos B = 1/2

cos B = 0.5

∴ B = cos⁻¹(0.5)

B = 60°

and

cos C = (s^2 + s^2 - s^2)/(2s×s)

cos C = (s^2 )/(2s^2)

cos C = 1/2

cos C = 0.5

∴ C = cos⁻¹(0.5)

C = 60°

Thus,

A = 60°, B = 60° and C = 60°

Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.

Learn more on The law of cosines here: brainly.com/question/2866347

#SPJ1

3 0

1 year ago

a toaster oven costing $130 offers an extended warranty for 25% of the purchase price if the local repair shop will fix a toaste

myrzilka [38]

Price covered by warranty:
130 x 0.25 = $32.5
Price per repair = $8
Number of repairs available:
32.5 / 8
= 4.0625
Thus, the toaster must break 4 times for the warranty to pay for itself.

5 0

2 years ago

Read 2 more answers

Question is down below

Bingel [31]

This is a great question!

To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -

$Probability( 2 Liquorice) = 12 / 20 * 11 / 19$

As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -

$Probability(2 Mint ) = 5 / 20 * 4 / 19,\\Probability( 2 Humbugs ) = 3/20 * 2/19$

____

Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!

$1-\left(\frac{132}{380}+\frac{20}{380}+\frac{6}{380}\right) =\\\frac{111}{190}$

<u><em>Thus, the probability should be 111 / 190</em></u>

5 0

3 years ago

ABC Bank requires a 20% down payment on all of its home loans. If a house is priced at $105,000, what is the amount of the down

mr_godi [17]

Percentage of down payment that ABC bank requires to be paid = 20%
Price of the house = $10500
Then
Amount of down payment
that needs to be made = (20/100) * 105000
= 21000 dollars
From the above deduction, it can be deduced that the correct option among all the options that are given in the question is the third option or option "C". I hope that this is the answer that has actually come to your desired help.

3 0

3 years ago

Read 2 more answers