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3 years ago

If a line was drawn perpendicular to one whose equation is 4x+2y=11, then its slope would be which of

Mathematics

1 answer:

alexandr402 [8]3 years ago

8 0

I believe the answer would be the 3rd one

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11 The net force on a vehicle that is accelerating at a rate of 1.5 m/s² is 2,800 newtons. What is

ololo11 [35]

Answer:

$Mass = 1867kg$

Step-by-step explanation:

Given

$Force = 2800N$

$Acceleration = 1.5m/s^2$

Required

Determine the mass of the vehicle

This question will be answered using Newton's second law

$Force = Mass * Acceleration$

Substitute values for Force and Acceleration

$2800 = Mass * 1.5m/s^2$

Make Mass the subject

$Mass = \frac{2800N}{1.5m/s^2}$

$Mass = 1866.6667kg$

$Mass = 1867kg$ ---- approximated

<em>Hence, the mass of the vehicle is 1867kg</em>

4 0

3 years ago

What is pie equal to?

Assoli18 [71]

Π = 3.14
π = 3.141592653589793

6 0

3 years ago

Read 2 more answers

A regular hexagon is shown.

zhuklara [117]

The central angle of the hexagon is equal to 60º.

Therefore, the trigonometric relationship for the radius is given by:

$cos (30) = \frac{a}{c}$

Where,

a: apothema of the hexagon

c: Hexagon radius.

Clearing the radio we have:

$c = \frac{a}{cos (30)}$

Substituting values:

$c = \frac{12}{cos (30)} c = 13.85$

Rounding to the nearest whole number we have:

$c = 14 in$

Answer:

The measure of the radius, c, rounded to the nearest inch is:

C. 14 in.

7 0

3 years ago

Read 2 more answers

Original price: $32<br> Discount: ?<br> Sale price: $8

Sati [7]

Answer: 75%

Step-by-step explanation:

32 dollars times 75% = 24

32 - 24 = $8

6 0

3 years ago

The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per

vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

Download pdf

4 0

3 years ago

Read 2 more answers