Help me !!! Why we have to divide this x=7/tan46 pls help me !!!

Mathematics

1 answer:

Drupady [299]3 years ago

7 0

Answer:

Therefore, x = 6.76 units

Step-by-step explanation:

Consider a Right angle Triangle Δ ABC at angle C = 90°

AB = Hypotenuse

AC = 7

BC = x

∠ B = 46°

To Find :

x = ?

Solution:

In Right angle Triangle Δ ABC Tangent Identity is given by

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

Substituting the given values in it we get

$\tan 46 = \frac{AC}{BC}\\ \\\tan 46 =\frac{7}{x} \\\\\therefore x =\frac{7}{\tan 46}\\\\\therefore x = \frac{7}{1.035}\\ \\\therefore x =6.759\\\\\therefore x =6.76\ units$

Therefore, x = 6.76 units

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There are 50 cupcakes and 160 cookies to be sold at the school bake sale. What is the greatest number of packages of baked items

Sav [38]

The greatest number of packages of baked items that can be sold is 10

Solution:

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

Greatest common factor of 50 and 160:

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 10

So the greatest number of packages sold is 10

Each package will contain:

Given that there 50 cupcakes and 160 cookies

Number of cupcakes in 1 package:

$\rightarrow \frac{50}{10} = 5$