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3 years ago

What is the scale factor of triangle ABC to triangle DEF?

Mathematics

2 answers:

bija089 [108]3 years ago

6 0

Answer: APEX the answer is 6

Step-by-step explanation:

ser-zykov [4K]3 years ago

3 0

Answer:

Step-by-step explanation:

Compare the ratios of corresponding sides, that is

$\frac{AB}{DE}$ = $\frac{2}{12}$ = $\frac{1}{6}$

$\frac{BC}{EF}$ = $\frac{4}{24}$ = $\frac{1}{6}$

$\frac{AC}{DF}$ = $\frac{4}{24}$ = $\frac{1}{6}$

Hence

scale factor of ΔABC to ΔDEF is $\frac{1}{6}$

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5. A car wash uses 50 gallons of water every

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Answer:

1.25 gallons per second

Step-by-step explanation:

To figure this out divide 50 by 40

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At a cell phone assembly plant, 77% of the cell phone keypads pass inspection. A random sample of 111 keypads is analyzed. Find

Serggg [28]

Answer:

The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Let <em>p</em> = the proportion of keypads that pass inspection at a cell phone assembly plant.

The probability that a randomly selected cell phone keypad passes the inspection is, <em>p</em> = 0.77.

A random sample of <em>n</em> = 111 keypads is analyzed.

Then the sampling distribution of $\hat p$ is:

$\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})\\\Rightarrow \hat p\sim N (0.77, 0.04)$

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:

$P(0.72$

$=P(-1.25$

Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

8 0

3 years ago

Evaluate the exact value: tan(pi/6)

Sedbober [7]

Pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

4 0

3 years ago

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Use the method from the Example to approximate the solution to the equations below to two decimal places.

STALIN [3.7K]

Answer:

x = 3.85

Step-by-step explanation:

Given equation:

6ˣ = 1,000

now,

on taking log both sides, we get

⇒ log(6ˣ) = log(1,000)

⇒ log(6ˣ) = log(10³)

now we know the property of log function that

log(aᵇ) = b × log(a)

thus, applying the above property, we get

⇒ x × log(6) = 3log(10)

⇒ x × log(2×3) = 3log(10)

now,

we have another property of log function as":

log(A) = log(A) + log(B)

therefore,

x × [log(2) + log(3)] = 3log(10)

also,

log(10) = 1

log(2) = 0.3010

log(3) = 0.4771

Thus,

⇒ x × [0.3010 + 0.4771 ] = 3 × 1

⇒ x × 0.7781 = 3

⇒ x = 3.85

3 0

3 years ago