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sdas [7]
2 years ago
11

What is the scale factor from the smaller rectangle to the larger rectangle pictured below?

Mathematics
2 answers:
Bess [88]2 years ago
8 0
3the answer is A I think 3.5
goblinko [34]2 years ago
8 0

Answer:

a. 3.5

Step-by-step explanation:

6 multiplied by 6 equals 21

2 multiplied by 3.5 equals 7

the scale factor is 3.5 because the second rectangle is 3.5 units times bigger then the first rectangle

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The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditio
zzz [600]

If two events are independent, then

Pr(A\cap B)=Pr(A)\cdot Pr(B).

Use formulas for conditional probabilities:

Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)},\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}.

For independent events these formulas will be:

Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(B)}=Pr(A),\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(A)}=Pr(B).

Now in your case Pr(A)=x,\ Pr(B)=y and Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y.

This shows that the only correct choice is A.

5 0
3 years ago
Read 2 more answers
Six yards of rope costs $5.50 while four yards costs $4.75
Amiraneli [1.4K]

The best option is the first one (Six yards of rope costs $5.50). It is the lowest unit cost.

<u>Step-by-step explanation:</u>

For the given question case, first we should compare the unit costs of the choices provided and evaluate the best option.

Choice 1:

Six yards of rope costs $ 5.50

            \frac{5.50 \text { dollar}}{6 \text { yard }}=0.9167\ dollar/yard

Choice 2:

Four yards costs $ 4.75

           \frac{4.75 \text { dollar}}{4 \text { yard }}=1.1875\ dollar/yard

Thus, the best choice is the first one. Because it is the lowest unit cost.

3 0
3 years ago
Consider the sequence:<br> 1536,768, 384, 192,96, ---<br> Determine the 11th term of the sequence.
Naya [18.7K]

Answer:

1.5

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

768 ÷ 1536 = 0.5

384 ÷ 768 = 0.5

192 ÷ 384 = 0.5

96 ÷ 192 = 0.5

This indicates that the terms form a geometric sequence with

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = 1536 and r = 0.5, thus

a_{11} = 1536 × (0.5)^{10} = 1.5

7 0
3 years ago
Read 2 more answers
What is 2log(2) in log(c)
Paul [167]

Answer:

log (8)

Step-by-step explanation:

3 0
3 years ago
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Solve for x on the interval [0, 2pi]<br> Sinx = cosx + 1
lisov135 [29]

Answer:

π

Step-by-step explanation:

Solve for x on the interval [0, 2pi]

Given the equation

Sinx = cosx + 1

Square both sides of the equation

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms

1-1-cos²x-cos²x-2cos x  = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = arccos -1

x = 180 degrees

<em>Hence the value of x = π</em>

8 0
2 years ago
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