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2 years ago

The coordinates of the three vertices of a square are shown in the figure. What are the coordinates of the fourth vertex?

Mathematics

1 answer:

lapo4ka [179]2 years ago

3 0

Answer:

(-2, 1)

Step-by-step explanation:

The 4th point must be vertically above (-2, -4) and horizontally to the left of (3, 1).

Its coordinates are (-2, 1).

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Pleaseee help help

Eddi Din [679]

The angle the golfer went off line from the tee when they drove the ball

is $\phi=28.2 \textdegree$ because the cosine rule has been applied to calculate the angle

From the question we are told that:

Distance of hole from tee $d_h=340yards$

Distance to the right $d_r=230yards$

Ball distance from hole $d_b=175 yard$

Given that the three points form a triangle x,y,z respectively

Where

$d_h=xz$

$d_r=xy$

$d_b=yz$

Using Cosine Rule

$yz^2=xy^2+xz^2-2(xy)(xz)cos\phi$

Therefore

$cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}$

$cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}$

$cos\phi=0.88$

$\phi=28.2 \textdegree$

In conclusion the angle the golfer went off line from the tee when they

drove the ball is mathematically deducted and give as

$\phi=28.2 \textdegree$

For more information on this visit

brainly.com/question/21856223

5 0

3 years ago

What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5

Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0

3 years ago

The spinner is divided into 8 equal parts. Find the theoretical probability

ella [17]

1/8 are you chances for all the colors

7 0

3 years ago

You and your sister went to the store. Your mom gave you $35 to buy a few things. The store charges $4 an hour for parking plus

Sav [38]

Answer:6.5

Step-by-step explanation:35-15=20, 20-12=8, 8-1.50=6.5

8 0

3 years ago

The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3.5

Lorico [155]

Answer:

0.6672 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.4 minutes

Standard Deviation, σ = 3.5 minutes

We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.

According to central limit theorem the sum measurement of n is normal with mean $\mu$ and standard deviation $\sigma\sqrt{n}$

Sample size, n = 37

Standard Deviation =

$=\sigma\times \sqrt{n} = 3.5\times \sqrt{37}=21.28$

P(taxi and takeoff time will be less than 320 minutes)

$P( \sum x < 320) = P( z < \displaystyle\frac{320 - 37(8.4)}{21.28}) = P(z < 0.4323)$

Calculation the value from standard normal z table, we have,

$P(\sum x < 320) =0.6672 = 66.72\%$

0.6672 is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

7 0

3 years ago