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aksik [14]
3 years ago
8

Given the figure below, calculate the area

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

<em>1+√3</em>

Step-by-step explanation:

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * AC * BD

We need to get AC

AC = AD+DC

Get base AD using SOH CAH TOA

tan 45 = 4/AD

AD = 4/tan45

AD = 4/1

AD = 4

Get DC

tan 30 = 4/DC

DC = 4/tan 30

DC = 4/(1/√3)

DC = 4√3

AC = 4 + 4√3

AC = 4(1+√3)

Get the Area of the triangle

<em>Area = 1/2 * 4 *  4(1+√3)</em>

<em>Area of the triangle = 1+√3</em>

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(0, -[\frac{45}{2})

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3 years ago
What is the slope simplify your answer and write it as a proper fraction, improper fraction, or integer
worty [1.4K]

Take  2 points: (0, 70) (30, 80)

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y2 - y1: 80 - 70 = 10

x2 - x1: 30-0 = 30

10 / 30

simplify: 1/3

This is a PROPER FRACTION

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3 years ago
In another state, all license plates consist of from four to six symbols chosen from the 26 letters of the alphabet together wit
fredd [130]
A)
First note that the plates can have between 4 and 6 symbols so we will need to find the number of plates with 4 symbols, 5 symbols and 6 symbols. We add these to get the total. In this part repetition of symbols is allowed. Since there are 26 + 10 =36 possible symbols we look at each position on the plate and think of how many choices there are. We multiply the number f choices using the counting principal since the choices are each independent -- one symbol does not affect another. There are 36 choices for the first symbol, 35 for the second and so on. The number of plates is:
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5 symbols = (36)^5
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B) Here we do not repeat symbols so there are 36 choices for the first symbol but only 35 for the next and 34 for the one after and so on.
4-symbols = (36)(35)(34)(33)
5 symbols = (36)(35)(34)(33)(32)
6 symbols = (36)(35)(34)(33)(32)(31)
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c)
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6 symbols = (36)(36)(36)(36)(36)(5)
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D)
The probability is given by (the number of plates with at least one repeated symbol)/(the total number of plates if repetitions are allowed) = (the answer to c) / (the answer to a)
3 0
3 years ago
Solve 4(10x - 2) = 192​
MAXImum [283]

Answer:

5

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4*10x=40x

4*2=8

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3 years ago
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You do the implcit differentation, then solve for y' and check where this is defined. 
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This is a possible value for y, so we have a point where y is defined, but not y'. 
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If someone asks for that D, you have to solve the definition for y and find that domain - I don't know of any [general] way to find the domain without solving for the explicit function). 
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