1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LenaWriter [7]
2 years ago
7

| 2. On rectangle ABCD below, if A is located at

Mathematics
1 answer:
vovangra [49]2 years ago
6 0

Answer:

-2

Step-by-step explanation:

Given that:

A = (3, 4) ; B = (7, 6)

In triangle ABCD, AB and BC are Perpendicular lines :

Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)

y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3

Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2

To obtain the slope of BC:

RECALL:

product of the slope of 2 Perpendicular lines = - 1

Slope AB * Slope BC = - 1

1 / 2 * slope BC = - 1

Slope BC = - 1 ÷ 1/2

Slope BC = - 1 * 2/1

Slope BC = - 2

HENCE, slope of BC = - 2

You might be interested in
34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a
Vlad1618 [11]

Answer:

24.6 < μ < 27.2

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{3.8}{\sqrt{34}} = 1.3

The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.

The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.

So the correct answer is:

24.6 < μ < 27.2

4 0
2 years ago
Find the volume of a sphere and radius is 3. please answer in terms of pi
Ghella [55]

Answer:

12 pi

Step-by-step explanation:

volume of sphere = 4/3 pi r2

4/3 pi 3 x 3

12 pi unit square

6 0
3 years ago
Read 2 more answers
A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

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 level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

8 0
2 years ago
Using basic trigonometric identities simplify the
katrin2010 [14]

Answer:

b

Step-by-step explanation:

Using the trigonometric identities

cot x = \frac{cosx}{sinx} and tan x = \frac{sinx}{cosx} thus

\frac{cos0}{cot0} + tanΘ × cosΘ

= \frac{cos0}{\frac{cos0}{sin0} } + \frac{sin0}{cos0} × cosΘ

= cosΘ × \frac{sin0}{cos0} + sinΘ

= sinΘ + sinΘ

= 2sinΘ → b

6 0
3 years ago
Latrina received 18 letters and 8 bills. What is the ratio of bills to letters?
kolbaska11 [484]

Answer:

8 to 18

Step-by-step explanation:

8 to 18

7 0
2 years ago
Read 2 more answers
Other questions:
  • X has up to four solutions
    5·1 answer
  • How many 6 ounce cups can be filled from 4 gallons of juice?
    6·2 answers
  • F(x) = x2 (x + 2) find the y intercept
    10·1 answer
  • I need some help lol
    14·1 answer
  • Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used m
    14·2 answers
  • Find.the x-and.,y-intercept of the graph of the equation y=3x+1
    5·1 answer
  • To make hummingbird
    15·1 answer
  • Zalia meets her friend at the science museum to see a special exhibition. The admission to the museum is $12.50 plus tax. Zalia
    11·2 answers
  • The price of a coat is reduced by 15% in a sale.
    13·1 answer
  • Which of the following rvalues represents the strongest correlation?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!