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2 years ago

Find the scale factor

Mathematics

2 answers:

RSB [31]2 years ago

5 0

Answer:

Step-by-step explanation:

4*3=12

3*3=9

5*3=15

So you find the number that can be multiplied or divided by each side the same to get the new number

Keith_Richards [23]2 years ago

5 0

<h3>Answer: D) 3</h3>

Explanation:

Focus on the horizontal sides. The jump from 3 to 9 is "times 3".

If you focus on the vertical sides, the jump from 4 to 12 is also "times 3".

Lastly, the slanted sides has a jump from 5 to 15 which is also "times 3".

This all shows the scale factor is 3. The larger triangle on the right has its sides 3 times as long compared to the smaller triangle.

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London was offered a job that paid a salary of \$93,000$93,000 in its first year. The salary was set to increase by 2% per year

Tema [17]

Answer: Amount = $143776

Step-by-step explanation:

Given that London was offered a job that paid a salary of $93,000 in its first year. The salary was set to increase by 2% per year every year.

Let P = 93000

Rate R = 2%

The amount of salary he will receive after 22 years can be calculated by using exponential equation

A = P(1 + 2%)^t

Where t = 22 years

A = 93000(1.02)^22

A = 93000 × 1.545979

A = 143776.11 dollars

5 0

2 years ago

Read 2 more answers

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

4 0

2 years ago

There are 527 pencils,646 erasers,748 sharpeners . these are to be put in separate packets containing the same no. of items. fin

Ksju [112]

$To \; find \; the \; maximum \; number \; of \; items \; possible \; in each \; packet,\\we \; need \; to \; find \; the \; Greatest \; Common \; Factor\\ \; of \; 527 \; Pencils, \; 646 \; erasers \; and \; 748 \; sharpeners.\\\\We \; need \; to \; list \; the \; Factors \; of \; each \; number \; as \; given \; below\\ \; and \; identify \; the \; greatest \; common \; factor.$

$The \; factors \; of \; 527 \; are:\\1, \; 17, \; 31, \; 527\\\\The \; factors \; of \; 646 \; are:\\1, \; 2, \; 17, \; 19, \; 34, \; 38, \; 323, \; 646\\\\The \; factors \; of \; 748 \; are:\\1, \; 2, \; 4, \; 11, \; 17, \; 22, \; 34, \; 44, \; 68, \; 187, \; 374, \; 748\\\\Then \; the \; greatest \; common \; factor \; is \; 17.$

$Conclusion: \\There \; will \; 31 \; Pencils, \; 38 \; Erasers,\\ \; and \; 44 \; Sharpeners \; in \; each \; of \; SEVENTEEN \; packet.$

4 0

2 years ago

Solve the compound inequality 9x ≤ –27 or 4x ≥ 36.

leva [86]

Answer:

x ≤ – 3 or x ≥ 9.

Step-by-step explanation:

Given : 9x ≤ –27 or 4x ≥ 36.

To find : Solve the compound inequality.

Solution : We have given 9x ≤ –27 or 4x ≥ 36.

For 9x ≤ –27 .

On dividing both sides by 9.

x ≤ – 3.

For , 4x ≥ 36.

On dividing both sides by 4.

x ≥ 9.

We can write x ≤ – 3 or x ≥ 9.

Therefore, x ≤ – 3 or x ≥ 9.

3 0

2 years ago

Help me please. Been stuck on this. :/

alina1380 [7]

Answer:

pi, the square root 72

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers