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3 years ago

Given the lengths of two sides of a triangle, find the range for the length of the third side. Write an inequality.

Mathematics

2 answers:

Crank3 years ago

8 0

Answer:

divide 22 by 15

Step-by-step explanation:

djverab [1.8K]3 years ago

5 0

Answer:

| a - b | < length of third side < a + b

Step-by-step explanation:

Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:

length of third side < a + b

In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:

length third side > | a - b|

These are the two extreme cases, and the length of the third side must be within these limits.

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Indira is climbing and starts at 182.5 meters above sea level each hour she descends 36.5 meters the table shows the function re

VLD [36.1K]

The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5

A linear equation is given by:

y = mx + b;

where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.

Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.

She starts at 182.5 meters above sea level, hence; b = 182.5 meters

She descends 36.5 meters each hour, hence m = -36.5 meter per hour

Therefore the equation becomes:

y = -36.5x + 182.5

Find out more at: brainly.com/question/19586594

5 0

2 years ago

Which of the following is a like term of -5.92?

olga_2 [115]

The answer to this question is c

3 0

3 years ago

Read 2 more answers

Kyla has the number of cherries that Denise has. If Kyla has 46 cherries, how many cherries do they have altogether?

pogonyaev

Answer:

Step-by-step explanation:

46 + 46 = 92

5 0

1 year ago

Read 2 more answers

a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar

Margarita [4]

A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18 cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem:

$h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x$

thus,

$Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2$

thus:

$x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\ \sqrt{3} }{3}=24 \sqrt{3}$ (cm^2)

but $x^{2}$ is exactly the base area, since the base is a square of sidelength = x cm.

So, the total surface area = base area + lateral area = $24 \sqrt{3}+72$ cm^2

Answer: $24 \sqrt{3}+72$ cm^2

4 0

2 years ago

39 x 10^4 = in standard form

Nata [24]

Answer would be 390000

8 0

3 years ago