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3 years ago

Which equation represents a horizontal line? A. x=y=2 B. y=x+1 C. x=2 D. y=2

Mathematics

1 answer:

RSB [31]3 years ago

8 0

A horizontal line can be represented as y = a number.

Therefore D. y=2 is a horizontal line.

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HELP ME <br> solve for the right triangle

VikaD [51]

Answer:

see explanation

Step-by-step explanation:

Using the cosine and tangent ratios in the right triangle

cos41° = $\frac{adjacent}{hypotenuse}$ = $\frac{VW}{VX}$ = $\frac{7}{VX}$

Multiply both sides by VX

VX × cos41° = 7 ( divide both sides by cos41° )

VX = $\frac{7}{cos41}$ ≈ 9.3

-----------------------------------------------------------------------

tan41° = $\frac{opposite}{adjacent}$ = $\frac{WX}{VW}$ = $\frac{WX}{7}$

Multiply both sides by 7

7 × tan41° = WX, thus

WX ≈ 6.1

-------------------------------------------------------------------------

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for ∠ X

∠ X = 180° - (90 + 41)° = 180° - 131° = 49°

3 0

2 years ago

What is the gradient between (0,3) and (1,8).

trasher [3.6K]

Step-by-step explanation:

Given

(x1 , y1) = ( 0 , 3)

(x2 , y2) = ( 1 , 8)

Now

Gradient =

$\frac{y2 - y1}{x2 - x1}$

$= \frac{8 - 3}{1 - 0} \\ = \frac{5}{1} \\ = 5$

Hope it will help :)

5 0

2 years ago

Sorry if it's hard to see but can any one work this out plz <br>Much appreciated

aleksley [76]

Answer:

x = 5.25

Step-by-step explanation:

width = x

length = (x + 8)

length that overlaps with width = (x + 8) - x = 8

perimeter (clockwise)

= 90

= x + 8 + (x + 8) + x + (x + 8) + x + 8 + (x + 8) + x + (x + 8)

= 8x + 6(8)

= 8x + 48

8x + 48 = 90

8x = 42

x = 5.25

4 0

3 years ago

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and

coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 40 and 65 meters.

This means that $a = 40, b = 65$

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is $P(X > 50)$

We have that

$P(X \leq 50) + P(X > 50) = 1$

$P(X > 50) = 1 - P(X \leq 50)$

$P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X > 50) = 1 - P(X \leq 50) = 1 - 0.4 = 0.6$

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

$M = \frac{a + b}{2}$

$M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5$

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

$S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22$

5 0

3 years ago

Decimals equivalent to 7/18

gayaneshka [121]

Answer:

0.388888...

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers