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fomenos
3 years ago
15

The scale from an actual triangle to the drawing at the right is 30:1. The scale from the same triangle to Jorge's drawing of th

e triangle is 101. Is this drawing or Jorge's drawing larger? Explain your answers.

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

The actual triangle is larger

Step-by-step explanation:

Given

Scale = Actual Triangle : Drawing

Scale = 30 : 1

Jorge = 101

Required

Determine which is bigger

The answer to this question can be extracted from the given scale.

The question says: the scale from the actual triangle to the drawing is 30 : 1.

This implies that;

If Jorge's drawing is 101, then the actual length is 30 * 101 =3030

Since, 3030 > 30, then

We cam conclude that the actual triangle is bigger

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grin007 [14]
Since all of the variables are y^3, all we have to do is the addition and subtraction of the whole numbers...

2y^3 - 3y^3 + 3y^3 - 4y^3 =

-2y^3

***Notice that the -3y^3 and 3y^3 just cancel out so all you have to do is the
2-4 = -2

Piece of cake :)
8 0
3 years ago
If BD = 4, AD = x-6, and CD = x, what is the length of CD?
emmainna [20.7K]

Answer:

The length of CD is 8 units

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we know that

According to the Right Triangle Altitude Theorem,

(BD)^2 = (AD)(CD)

substitute the given values

(4)^2 = (x-6)(x)

16=x^2-6x\\x^2-6x-16=0

solve the quadratic equation by graphing

The solution is x=8 or x=-6

see the attached figure N 2

Discard the negative length.

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The length of CD is 8 units

8 0
3 years ago
A probable passes through (3,0) (-2,3) and (-1,4) what function does this represent
xenn [34]
Thought you'd want to know:  If you're talking about parabolas, it's parabolas, not probables.  ;)

The standard equation of a a quadratic is  y = ax^2 + bx + c.  We need to find the values of the coefficients a, b and c.

Taking the first point:  When x=3, y=0, so write 0 = a(3)^2 + b(3) + c, or
                                                                           0 = 9a + 3b + 1c

Do the same for points (-2,3) and (-1,4).

You will have obtained three linear equations in a, b and c:

3= a(-2)^2 + b(-2) + c, or 3 = 4a - 2b + 1c, also

4 = a(-1)^2 + b(-1) + 1c, or 1a - 1b + 1c.

I used matrix operations to solve this system.  The results are:

a= -2/5, b= 1/5, c= 21/5

and so the function f(x) is f(x) = (-2/5)x^2 + (1/5)x + 21/5.
6 0
3 years ago
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
Hitman42 [59]

Answer:

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.

This means that \mu = 2.5, \sigma = 0.4

Find the probability that an individual man’s step length is less than 1.9 feet.

This is the p-value of Z when X = 1.9. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.9 - 2.5}{0.4}

Z = -1.5

Z = -1.5 has a p-value of 0.0668

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

3 0
3 years ago
A card is randomly selected from the standard deck. What is the probability of selecting a red card, the king of spades, or the
lesya [120]

Answer:

d

Step-by-step explanation:

13 red, 1 king of spade, 1 ace of club

8 0
4 years ago
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