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2 years ago

A repairman leans the top of an 26 foot ladder against the

Mathematics

1 answer:

aleksandr82 [10.1K]2 years ago

7 0

Answer:

653.91 squared or 326.955 not squared

Step-by-step explanation:

We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!

The first step is

A^2 + B^2 = C^2

2 step

4.7^2 + B^2 = 26^2

3 step

4.7 x 4.7 = 22.09 and 26 x 26 = 676

4 step

22.09 + B^2 = 676

5 step

676 - 22.09 = 653.91

6 step

Answer

653.91 squared or 326.955 not squared!

hope this helps

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Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).

fomenos

Answer:

$\frac{(x--3)^2}{49} -\frac{(y-6)^2}{32}=1$

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is $2a=|4--10|$ .

$\implies 2a=|14|$

$\implies 2a=14$

$\implies a=7$

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is $(\frac{-10+4}{2},\frac{6+6}{2}=(-3,6)$

We need to use the relation $a^2+b^2=c^2$ to find $b^2$ .

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

$c=|6--3|=9$

$\implies 7^2+b^2=9^2$

$\implies b^2=9^2-7^2$

$\implies b^2=81-49$

$\implies b^2=32$

We substitute these values into the standard equation of the hyperbola to obtain:

$\frac{(x--3)^2}{7^2} - \frac{(y-6)^2}{32}=1$

$\frac{(x+3)^2}{49} -\frac{(y-6)^2}{32}=1$

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3 years ago

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mr_godi [17]

Answer:

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Step-by-step explanation:

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The original price of the shirt is $20 per shirt is on sale for 20% discount how much money did the fire safe because of the dis

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2 years ago

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1 year ago

A market researcher for Eric’s Electronics wants to study TV viewing habits of residents in Chicago. The individuals in the surv

Elena L [17]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

1) x = 17.5

σ = 5

n = 50

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, confidence level of 90% is 1.645

Margin of error = 1.645 × 5/√50 = 1.16

Confidence interval = 17.5 ± 1.16

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3 years ago