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3 years ago

11

Victor draws one side of equilateral ∆PQR on the coordinate plane at points P (–9, –2) and Q (–2, –2). What are the two possible

coordinates of vertex R? Round to the nearest tenth.

1 answer:

Elenna [48]3 years ago

6 0

Answer:

the vertices of point R could be (-2,5) or (-2,9)

each point is 7 units away from Q since there are 7 units between P and Q

Step-by-step explanation:

You might be interested in

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round y

kupik [55]

Answer:

75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.

Step-by-step explanation:

The question is missing. It is as follows:

Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69 104 125 129 60 64

Assume that the population of x values has an approximately normal distribution.

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

75% Confidence Interval can be calculated using M±ME where

M is the sample mean weight of the wild mountain lions ( $\frac{69 +104 +125 +129+60 +64}{6} =91.8$ )

ME is the margin of error of the mean

And margin of error (ME) of the mean can be calculated using the formula

ME= $\frac{t*s}{\sqrt{N} }$ where

t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)

s is the standard deviation of the sample(31.4)

N is the sample size (6)

Thus, ME= $\frac{1.30*31.4}{\sqrt{6} }$ ≈16.66

Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5

3 0

3 years ago

Daniel’s school is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 8 senior citizen

zavuch27 [327]

Answer:

the answer is 17

Step-by-step explanation:

You divide 8 and 136 and get 17, you multiply 17 and 8 to double check your answer, Hope this helps :P!

3 0

3 years ago

Read 2 more answers

How do you do this question?

r-ruslan [8.4K]

Step-by-step explanation:

y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1

dy/dx = 12√x

Arc length is:

s = ∫ ds

s = ∫₀¹ √(1 + (dy/dx)²) dx

s = ∫₀¹ √(1 + (12√x)²) dx

s = ∫₀¹ √(1 + 144x) dx

If u = 1 + 144x, then du = 144 dx.

s = 1/144 ∫ √u du

s = 1/144 (⅔ u^(³/₂))

s = 1/216 u^(³/₂)

Substitute back:

s = 1/216 (1 + 144x)^(³/₂)

Evaluate between x=0 and x=1.

s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]

s = 1/216 (145)^(³/₂) − 1/216

s = (145√145 − 1) / 216

5 0

3 years ago

Mr. Hunt took Mrs. Hunt out to the movies. The tickets cost $18 for both, the popcorn was $7.50 and they shared a $5.25 drink. H

tresset_1 [31]

Answer:

their night cost them $33.21

Step-by-step explanation:

7 0

3 years ago

The surface area of a cuboid is 102 cm2. If its length is 2 cm and its breadth is 3 cm, find its height.

Anna11 [10]

Answer:

Height h = 9 cm

Step-by-step explanation:

Given:

Surface area of cuboid = 102 cm²

Length l = 2 cm

Breadth b = 3 cm

Find:

Height h

Computation:

Surface area of cuboid = 2[lb + bh + hl]

102 = 2[(2)(3) + (3)(h) + (h)(2)]

51 = 6 + 3h + 2h

45 = 5h

Height h = 9 cm

3 0

3 years ago

Read 2 more answers