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maxonik [38]
3 years ago
13

A model rocket was built using a scale factor of 1:15 if the height of the actual rocket is 9.9m, what is the height of the mill

imeters
Mathematics
1 answer:
beks73 [17]3 years ago
3 0

Answer:

660 mm

Step-by-step explanation:

we know that

The scale factor is \frac{1}{15}

That means

1 unit in the model represent 15 units in the actual

or

1 m in the model represent 15 m in the actual

To find out the height of the model rocket, divide the height of the actual rocket by 15

so

9.9\ m=\frac{9.9}{15}= 0.66\ m

Convert m to mm

Remember that

1\ m=1,000\ mm

To convert meters to millimeters, multiply by 1,000

so

0.66\ m=0.66(1,000)=660\ mm

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Assume that the average healthy body temperature is 98.249 degrees and the standard deviation is 0.733 degrees. How many standar
Leno4ka [110]

The standard deviation is 1.43 below the mean

<h3>How to determine the number of standard deviation?</h3>

The given parameters are:

Mean = 98.249

Standard deviation = 0.733

x = 97.2

To calculate the number of standard deviation below the mean, we use

x = \bar x - n\sigma

So, we have:

97.2 = 98.249 - n * 0.7333

Evaluate the like terms

-1.049  =- n * 0.7333

Divide both sides by -0.733

n =1.43

Hence, the standard deviation is 1.43 below the mean

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5 0
2 years ago
Evaluate =9 + 3h - 6 when g = 10 and h = 6.
Tanya [424]

Answer: 22

Step-by-step explanation:

Evaluate g + 3h - 6 when g = 10 and h = 6.

Substitute the values of g and h into the expression :

10 + 3(6) -6.......open the bracket

= 10 + 18 - 6

=28 - 6

= 22

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3 0
4 years ago
You and 3 friends divide the proceeds of a garage sale equally. The garage sale earned $412. How much money did you receive?
iren2701 [21]

Answer:

$ 103 for each person

Step-by-step explanation:

4 0
4 years ago
Is the following relation linear, quadratic, or cubic? If it is linear, find the equation. Explain your reasoning and include al
Sergio [31]

The given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.

<h3>What is a linear equation?</h3>

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Where m is the slope and c is the y intercept.

WE have given R = {(x, y) : (2,3), (4,4), (6,5), (8,6), ...}

Let's use these two points to determine both the slope and the equation;

(2, 3), (4,4)

Slope= (y2-y1)/(x2-x1)

Slope= (4-3)/(4-2)

Slope= 1/2

Then Equation of the linear function;

(Y-y1)/(x-x1)= m

(Y-3)/(x-2)= 1/2

2(y-3) = x-2

2y -6 = x-2

2y= x-2+6

2y= x+4

Y= 1/2x +2

Hence, the given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.

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8 0
2 years ago
Write 9x-3y=-69 x − 3 y = − 6 in slope-intercept form. Make sure you show all steps and inverse operations.Write 9x-3y=-69 x − 3
Goryan [66]

Answer:

y = 3x + 23 and

y = \frac{1}{3}x + 2

Step-by-step explanation:

The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.

Now, 9x - 3y = - 69

⇒ 3x - y = - 23 {Dividing both sides by 3}

⇒ 3x + 23 = y

⇒ y = 3x + 23 {Interchanging the sides} (Answer)

The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.

Now, x - 3y = - 6

⇒ x + 6 = 3y

⇒ 3y = x + 6 {Interchanging the sides}

⇒ y = \frac{1}{3}(x + 6) {Dividing both sides by 3}

⇒ y = \frac{1}{3}x + 2 (Answer)

3 0
3 years ago
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