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-BARSIC- [3]
3 years ago
5

Jacinto está cercando un terreno de forma rectangular. Cuando lleva puesto alambre a dos lados consecutivos de la tierra, se da

cuenta que ha gastado 170 m de alambre. Si sabe que la diagonal del rectángulo mide 130 m, ¿cuáles son las dimensiones y el área del terreno?
Mathematics
1 answer:
qwelly [4]3 years ago
4 0

Answer:

Step-by-step explanation:

Given the perimeter of the rectangular shape = 170m

Length of the diagonal = 130m

Perimeter = 2L + 2W

diagonal d² = L² + w²

L is the length of the terrain

w is the width

140 = 2L + 2W

70 = L+W ..... 1

130² = L²+w² ..... 2

from 1, L = 70-w

substitute into 2;

130² = (70-w)²+w²

130² = 4900-140w + 2w²

16900 = 4900-140w + 2w²

2w²-140w - 12000 = 0

w²-70w - 6000 = 0

On factorizing;

(w+50)(w−120) = 0

w - 120 = 0

w = 120 m

Since L = 70 - w

L = 70 - 120

L = -50m

Hence the dimension is 120m by 50 m

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Answer:81

Step-by-step explanation:

2700 x 0.03

3 0
3 years ago
Read 2 more answers
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro
astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

Problems of normally distributed samples are 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 question, we have that:

\mu = 96, \sigma = 15.7

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

Z = \frac{123.4 - 96}{15.7}

Z = 1.745

Z = 1.745 has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

7 0
3 years ago
Jaymie wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments wi
SashulF [63]

Jaymie will measure the segment and then place the point just across from the line's beginning point to create a congruent segment that shows the similarity between them.

<h3>What are the conditions of the congruent triangle?</h3>

Triangles that are equivalent in terms of size and form are known as a congruent triangle.

Segments will be built using the straightedge, and measurements will be taken using the compass. They will pick a starting point and draw a line using the straightedge, then use the compass to finish the job.

To make the congruent segment, Jaymie will measure the segment and then position the point that is opposite from the line's starting point.

Jaymie, on the other hand, will have to work a bit harder with the compass since she will need to draw a semi-circle in the original angle and transfer this measurement to the new line in order to create congruent angles.

To learn more about the congruent triangle refer;

brainly.com/question/12413243

#SPJ1

6 0
2 years ago
How might this number be shown on a calculator?<br> 5.31x1037 (37 is above 10)<br> [?]e[ ]
Arisa [49]

Answer:

5.31E37

Step-by-step explanation:

Given

5.31 * 10^{37}

Required

How it'd be displayed on a calculator

Standard calculators, today are built to always convert huge numbers or extremely small number to scientific notations;

This was done to allow the calculator fit each values on its screen

5.31 * 10^{37} is such a big number that it'll require the calculator to display it using scientific notations;

So, basically we have to convert 5.31 * 10^{37} to scientific notaton;

This is achieved by replacing *10^{37} with E37

So, 5.31 * 10^{37} is equivalent to 5.31E37

6 0
3 years ago
the volume of a rectangular prism can be found by the formula v = lwh where v is the volume, l is length, w is width and h is he
KonstantinChe [14]
V = lwh
48 = 8 x 2 x h = 16h
h = 48/16 = 3

height = 3 inches.
5 0
3 years ago
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