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3 years ago

Mr. Halsey leans a ladder against an 11.5-foot wall. The bottom of the ladder is 3.5 feet from the base of the wall, as shown.

Mathematics

1 answer:

marta [7]3 years ago

7 0

The answers is : d
Because 11.5 plus 3.5 would equal 15 and then the approximate length would end up being 14

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Im really confused can somebody explain this?

vovikov84 [41]

Given:

The given ratio is $16 : 12$

We need to determine three ratios that are equivalent to the given ratio.

Option A: $8:6$

The given ratio is $16 : 12$

Let us divide the given ratio $16 : 12$ by 2.

Thus, we have;

$8:6$

Hence, the expression $8:6$ is equivalent to $16 : 12$

Thus, Option A is the correct answer.

Option B: $32:24$

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio $16 : 12$ by 2, we get;

$32:24$

Thus, the expression $32:24$ is equivalent to $16 : 12$

Hence, Option B is the correct answer.

Option C: $4:3$

Let us divide the given ratio $16 : 12$ by 4.

Thus, we have;

$4:3$

Thus, the expression $4:3$ is equivalent to $16 : 12$

Hence, Option C is the correct answer.

Option D: $12:8$

The number 12 goes by 16 in $\frac{3}{4}$ times and the number 8 goes by 12 in $\frac{2}{3}$ times.

The ratios are multiplied by different numbers.

Thus, the expression $12:8$ is not equivalent to $16 : 12$

Hence, Option D is not the correct answer.

Option E: $24:16$

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression $24:16$ is not equivalent to $16 : 12$

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C

5 0

3 years ago

Question 10 (3 points)

Zinaida [17]

Answer:

$3,090.64

Step-by-step explanation:

We shall allocate a random letter to each value, with that I explain the formula.

Initial value of investment = $5,003.86 = P

Rate of interest = 3.7% = R

Compounding interval in a year = 365 = I

Total period = 13 years = T

Value of investment in compound interest formula shall be:

$= P \times (1 + \frac{R}{(I})^{(I \times T)}$

Now, putting values in the above equation:

$= 5,003.86 \times (1 + \frac{0.037}{365}) ^{(365\times13)}$

= $8,094.50

Thus, interest earned = Total value of investment on maturity - Initially invested amount

= $8,094.50 - $5,003.86 = $3,090.64

4 0

3 years ago

Suppose you have 3 pieces of string measuring 6 inches, 9 inches, and 12 inches. How many unique triangles can you form with the

siniylev [52]

A triangle should have 3 points and 3 sides. Let say that the point is ABC. Then the sides would be AB, AC and BC.
There are 3 strings with a different length that can be put into the sides. Assuming the string can be used once, then the possible way would be:
3!/(1+3-3)!= 3!/1!= 3*2*1= 6 ways

8 0

3 years ago

Can you work these out? 0.6x100 0.15x100 3.7x100 0.8x100 0.07x100

Monica [59]

Step-by-step explanation:

$0.6 \times 100 = 60 \\ 0.15 \times 100 = 15 \\ 3.7 \times 100 = 370 \\ 0.8 \times 100 = 80 \\ 0.07 \times 100 = 7$

6 0

3 years ago

jasmine has 8 seashells. three- quarters are clamshells. how many shells are clamshells 3/4=_/8 a)3 shells b)4 shells c) 6 shell

fgiga [73]

The answer for your question is 6/8

6 0

3 years ago