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3 years ago

8

Rectangle B is shown below. Nadia drew a scaled version of Rectangle B using a scale factor of 1/5 and labeled it Rectangle C wh

at is the area of Rectangle C

1 answer:

34kurt3 years ago

4 0

Answer:

The answer is 2

Step-by-step explanation:

1/5 times 5 is 1

1/5 times 10 is 2

1x2 is 2

Answer is 2

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Find the product mentally.

yaroslaw [1]

(ab+3)(ab−3)

=(ab+3)(ab+−3)

=(ab)(ab)+(ab)(−3)+(3)(ab)+(3)(−3)

=a^2b^2−3ab+3ab−9

=a^2b^2−9

8 0

3 years ago

Read 2 more answers

Eighteen less than three times a number is twice the number. Write and solve

goblinko [34]

Answer:

The number is 18

Step-by-step explanation:

You can write an equation to represent this. Let x represent the unknown number.

3x - 18 = 2x

Move 2x to the left side. Remember, "change the side, change the sign." Add 0 as a placeholder to the right of the equals sign.

3x - 2x - 18 = 0

Simplify like terms.

x - 18 = 0

Move -18 to the right of the equals sign.

x = 18

Now that we know x = 18, we can substitute it into the problem.

"Eighteen less than three times 18 is two times 18."

18 x 3 = 54

54 - 18 = 36

36 is, in fact, two times 18. We can check this by dividing 36 by 2.

36 ÷ 2 = 18

8 0

3 years ago

Calculate the side lengths a and b to two decimal places.

Zinaida [17]

Answer:

$a=10.92 units$

$b=14.51 units$

Step-by-step explanation:

We are given that c=6 units

$\angle A=43^{\circ}$

$\angle B=115^{\circ}$

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

$\angle A+\angle B+\angle C=180$

Substitute the values then we get

$43+115+\angle C=180$

$158+\angle C=180$

$\angle C=180-158=22^{\circ}$

sine law: $\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}$

$\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}$

$a=\frac{6}{sin 22^{\circ}}\times sin 43^{\circ}$

$a=10.92 units$

$\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}$

$b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51$

$b=14.51 units$

6 0

3 years ago

Your friend invested $500 in his shop to start off, and makes a $20 profit every week afterwards. Find the minimum number of wee

Jet001 [13]

It will take 45 weeks.25 weeks to gain back the 500 dollor he spent and 20 to make 400 dollor from it

5 0

2 years ago

what is the smallest of three consecutive integers i the sum of the smaller two integers is two more than seven times the larges

NNADVOKAT [17]

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The <em>lowest</em> of the three numbers is -3.

The <em>smallest</em> however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer. In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable. If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) = 7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) = 7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

3 0

2 years ago