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3 years ago

Please help , geometry

Mathematics

1 answer:

Kryger [21]3 years ago

4 0

Answer:

It's A.

Step-by-step explanation:

this is a right angled triangle with the 2 legs = (a - 0) and (b - 0) - a and b.

So, by Pythagoras Theorem the hypotenuse = √(a^2 + b^2).

You might be interested in

Parallel to y - 2x = 4 and passes through (0,5)

wolverine [178]

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

4 0

3 years ago

Please help need answer for both questions

myrzilka [38]

Answer:

1. 32, 12

2. Enlargement

Step-by-step explanation:

Enlarged by a scale factor of 4

(Multiply all points by 4)

8 x 4 = 32

3 x 4 = 12

It is an enlargement because the points are larger than before.

5 0

3 years ago

The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci

Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that $n = 300$ and $\pi = \frac{10}{300} = 0.033$

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So $\alpha$ = 0.05, z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532$

The correct answer is

(0.0128, 0.0532)

4 0

3 years ago

lily bought 6 skirts and 5 coats for a total of $452.62. if lily sister bought 3 skirts and 5 coats for $289.36, what was the pr

Vikentia [17]

Answer:

$26.02

Step-by-step explanation:

Let the price of a skirt be A and that of coat be B

Iilly bought 6 skirts and 5 coats for a total of $452.62

That’s

6A + 5B = 452.62

Also, Lilly’s sister bought 3 skirts and 5 coats for $289.36

That’s

3A + 5B = 289.36

We now have two equations

1 . 6A + 5B = 452.62

2. 3A + 5B = 289.36

Subtract equation two from equation one

We have

3A = 163.26

Divide both sides by 3

3A/3 = 163.26/3

A = 54.42

A = $54.42

Now substitute 54.42 for A in either equations to get B the price of a coat

Using equation one, we have

6A + 5B = 452.62

6 x 54.42 + 5B = 456.62

326.52 + 5B = 456.62

Subtract 326.52 from both sides

326.52 - 326.52 + 5B = 456.62 - 326.52

5B = 130.1

Divide both sides by 5

5B/5 = 130.1/5

B = 26.02

= $26.02

A coat cost $26.02

3 0

3 years ago

HELP ME ASAP NEED HELp

MrRa [10]

Answer: W=20 and L=55

Step-by-step explanation:

2(3w-5)+2(w)=150

6w-10+2w=150

8w-10=150

8w=160

W=20

L= 3(20)-5

=60-5

=55

6 0

1 year ago