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dalvyx [7]
2 years ago
7

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. C. What is the length of bottom sid

e of the scaled copy?

Mathematics
1 answer:
satela [25.4K]2 years ago
6 0

Answer:

The length of bottom side of the scaled copy is 12 u

Step-by-step explanation:

To solve this problem we have to know that to calculate the area of ​​a triangle we use the following formula

a = area

b = base

h = height

a = b * h

In the triangle A the base and the height are equal to 3

b = h

Now that we know that b & h we can calculate the base of the scaled copy

72 u² = b * b

72 u² = (b)²

√(72 u²) = b

12 u = b

The length of bottom side of the scaled copy is 12 u

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A 10 foot ladder is leaning up against a building. If the ladder makes a 46° angle
Gnesinka [82]

Answer:

7.193 ft

Step-by-step explanation:

    |\

    |   \

    |      \

    |         \

h  |            \      10 ft

    |               \

    |                  \

    |            46°   \

    ---------------------

For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.

sin A = opp/hyp

sin 46° = h/10

h = 10 sin 46°

h = 7.193

Answer: 7.193 ft

4 0
2 years ago
Which one does not belong?
Romashka [77]

Answer:

soooooooo where's the rest of the question? LOL

Step-by-step explanation:

6 0
3 years ago
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The output from a statistical computer program indicates that the mean and standard deviation of a data set consisting of 200 me
lesya [120]

Answer:

The limit that 97.5% of the data points will be above is $912.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1500, \sigma = 300

Find the limit that 97.5% of the data points will be above.

This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.

So

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

-1.96 = \frac{X - 1500}{300}

X - 1500 = -1.96*300

X = 912

The limit that 97.5% of the data points will be above is $912.

6 0
3 years ago
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Airida [17]
\frac{3}{10} x \frac{2}{9} = \frac{1}{15}
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3 years ago
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Leya [2.2K]

Answer:

3x+y=8 and 3x+y=9

Step-by-step explanation:

Assume these two equations:

a1x+b1y+c1=0

a2x+b2y+c2=0

If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.

In these case, take a look at the last option:

3x  + y = 8 \\ 3x + y = 9

Re-write 'em as a standard form:

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\frac{3}{3}  =  \frac{1}{1}  ≠ \frac{ - 8}{ - 9}

And they do not have any collision point

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2 years ago
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