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1 year ago

how many different license plates can be formed if each plate plate has 5 different digits followed by 1 letter

1 answer:

3 0

This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.

For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.

A we cannot repeat the digits, so, first five digits will be:

10 × 9 × 8 × 7 × 6

Now the next 1 digit will all be letter all being different

There are 26 letters in the alphabet.. for our second digit we have 26 choices,

Here is the whole calculation:

= 10 × 9 × 8 × 7 × 6 × 26

= 786240

To learn more about calculating possibilities from the given link

brainly.com/question/4658834

#SPJ4

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Which equation can be solved to find one of the missing side lengths in the triangle?aB60512 unitsАCOS(60°) =22 믕cos(60°) = 12Su

Mekhanik [1.2K]

In a right rectangle, we have:

$\sin \alpha=\frac{opposite}{hypotenuse}$ $\cos \alpha=\frac{\text{adjacent}}{hypotenuse}$

For your exercice, hypotenuse=12

The exercise also inform the angle 60°, then:

$\sin \text{ 60}=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{b}{12}$ $\cos 60=\frac{adjacent}{\text{hypotenuse}}=\frac{a}{12}$

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1 year ago

What is the distance between points F(2, 9) and G(4, 14)? Round to the nearest whole number.

Fittoniya [83]

Answer:

Step-by-step explanation:

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3 years ago

A jacket that reguraly costs $40 is on sale for $32 what percent of decrease was in the price of the jacket

Scorpion4ik [409]

Use the formula (new price-old price) / old price

32-40=-8
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the percent difference is 20%

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4 0

3 years ago

Read 2 more answers

An equilateral triangle has a perimeter of 48 cm. What is the area?

KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

The perimeter is equal to

$P=3b$

where

b is the length side of the equilateral triangle

we have

$P=48\ cm$

substitute

$48=3b$

solve for b

$b=48/3\\b=16\ cm$

Find the area

The formula of area applying the law of sines is equal to

$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

$sin(60^o)=\frac{\sqrt{3}}{2}$

$A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})$

$A=64\sqrt{3}\ cm^2$

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2 years ago

Simplify the following expression: -7(3e-2f+4)+6e-2

tankabanditka [31]

Answer:

-15e+14f-30

Step-by-step explanation:

First using distributive property to expand the first term:

-21e+14f-28+6e-2

Combining like terms:

-15e+14f-30

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2 years ago