MATHEMATICS MIDDLE SCHOOL

for lunch britney has a choice of a hot dog, a hamburger, or pizza and a choice of an apple, a pear, or grapes. what are all the possible choices of lunch she can have? how many outcomes are in the sample space

Answers

Answer 1

Answer:

The correct answer is 9

What is permutation and combination?

A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

How to solve this problem?

The steps are as follow:

We need to select any one from pizza , hamburger or hotdog = 3C1
We need to select any one from pear , grapes or an apple = 3C1

Therefore the possibilities are 3C1*3C1 = 3!/1!(3-1)!*3!/1!(3-1)!

= 3*2!/1*2! *3*2!/1*2! = 3*3 = 9

Therefore , the number of possibilities is 9

Learn more about Permutation and combination here

brainly.com/question/11732255

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Answer 2

Answer: Hot dog and apple
Hot dog and pear
Hot god and grapes
Hamburger and apple
Hamburger and pear
Hamburger and grapes
Pizza and apple
Pizza and pear
Pizza and grapes.

There are 9.

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In the figure below, Sin 62 degrees - 17/c. Based on the figure, which of the following equations is also true ?A. Cos 62 degrees = 17/c
B. Tan 62 degrees = c/17
C. Cos 28 degrees = 17/c
D. Sin 28 degrees = c/17

Answers

Answer:

Therefore Based on the Figure only the third option i.e C. ic True

$\cos 28\° = (17)/(c)$

Step-by-step explanation:

Given:

Let label the figure first such that

In Δ ABC , ∠C = 90° , ∠ B = 62°,

$\sin 62\°=(17)/(c)$

AB = Hypotenuse = c

AC = 17

To Find:

True Statements

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180$

Substituting the values we get

$\angle A +62+90=180\n\angle A=180-152=28\n\angle A=28\°$

In Right Angle Triangle ABC , Cosine Identity we have

$\cos A = \frac{\textrm{side adjacent to angle A}}{Hypotenuse}\n$

Substituting the values we get

$\cos 28\° = (AC)/(AB)=(17)/(c)\n\n\cos 28\°=(17)/(c)$

Here in this figure

$\tan B = \frac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}$

$\sin A = \frac{\textrm{side opposite to angle A}}{Hypotenuse}\n$

Substituting we get

$\tan 62\° = (17)/(BC)$

$\cos 62\° = (BC)/(c)$

$\sin 28\° = (BC)/(c)$

Therefore Based on the Figure only the third option i.e C. is True

$\cos 28\° = (17)/(c)$

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Answers

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Answers

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Answers

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Answers

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Equilateral triangle obtuse angle explain why cant exist plz help me if you can ok

Answers

This type of triangle does not exist because an equilateral triangle only has acute angles.

It doesn't exist because triangles are made up of 180 degrees. And all sides are equal amount and all angles are equal degrees. An obtuse angle is more than 90 degrees and if they were all more than 90 degrees it wouldn't be a triangle. Hope this helped!

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