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2 years ago

Explain the differences between properties of equality and properties of inequality when solving equations and inequalities.

2 answers:

8 0

Using the properties of equality on any equation will not change the solution set. When multiplying or dividing an inequality by a negative number you must reverse the inequality symbol or you will not get the correct solution set.

matrenka [14]2 years ago

5 0

Equalities will have the words "is" or "equals" or "the same as" in the wording. These produce a unique solution.

Inequalities have phrases like "at most" or "at least" or "no more than" in them. Solutions are a range of values, ranging between 2 values, or from a particular value to positive or negative infinity.

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8o when staring at the top of the stat

Lyrx [107]

Answer:

$h=50.25\ ft$

Step-by-step explanation:

<u>Right Triangles </u>

In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including

$\displaystyle tan\alpha=\frac{a}{c}$

where a is the opposite leg to $\alpha$ and c is its adjacent led .

In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.

The height of the statue is h=a+b, where

$a=50tan8^o$

$b=50tan14^o$

Thus

$h=50tan8^o+50tan14^o$

$h=50(tan8^o+tan14^o)$

$\boxed{h=50.25\ ft}$

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2 years ago

A building across the street casts a shadow that is 24 feet long. Your friend is 6 feet tall and casts a shadow that is 4 feet l

tiny-mole [99]

The height of the building is 16 feet.

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2 years ago

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Steve and josephina run a total of 42 miles in a week. Steve ran six fewer miles than josephina. How many miles did josephina ru

Zielflug [23.3K]

Subtract 42 from 6 and you get 36

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2 years ago

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Suppose that the IQs of universityâ€‹ A's students can be described by a normal model with mean 140 and standard deviation 8 poi

AnnZ [28]

Answer:

0.0266, 0.9997,0.7856

Step-by-step explanation:

Given that the IQs of universityâ€‹ A's students can be described by a normal model with mean 140 and standard deviation 8 points. Also suppose that IQs of students from university B can be described by a normal model with mean 120 and standard deviation 11. Let x be the score by A students and Y the score of B.

A) $P(X>135) = \\P(Z>0.625)\\=0.0266$