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kicyunya [14]
3 years ago
14

Given the figure below, calculate its area.

Mathematics
1 answer:
madreJ [45]3 years ago
3 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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Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(300).
Ede4ka [16]

Answer:

4.1145

Step-by-step explanation:

You can use the following formula to solve this kind of problems,

log_{a}(b)  +  log_{a}(c)  =  log_{a}(bc)

So, let's start of with log4_(300). Since the question have already gave log4_(3) =0.7925 and log4_(5) =1.1610. It means that you have to split the 300 into the simplest form where almost all of the numbers are 3 and 5.

log_{4}(300)  =  log_{4}(4 \times 5 \times 3 \times 5)  \\  =  log_{4}(4)  + log_{4}(5)  + log_{4}(3)  + log_{4}(5)  \\   = 1 + 1.1610 + 0.7925 + 1.1610 \\  = 4.1145

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3 years ago
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5 0
4 years ago
5 hundred thausand 12 ten thausand 1 thausand 15 tens and 7 ones in standar form
Pachacha [2.7K]
The best to do this is like this:

5 hundred thousand would be 500,000

12 of 10,000 (should be 12,000)

1,000 tens is 10,000 plus 15 tens is 150 so this is 10,150

7 ones

522,157

7 0
3 years ago
Identify the vertex and 4 points you used <br><br> f(x)=2x^2-16x+35
Andrew [12]

Answer:

2

x

2

−

16

x

+

35

.

2

(

x

−

4

)

2

+

3

Set  

y

equal to the new right side.

y

=

2

(

x

−

4

)

2

+

3

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

2

h

=

4

k

=

3

Find the vertex  

(

h

,

k

)

.

(

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Step-by-step explanation:

8 0
3 years ago
Which Store has a better deal per can of soda? Explain.
V125BC [204]

Answer:

store A has a better deal. as you can get 12 soda's for the price of $7.20

Step-by-step explanation:

3.60 x 2 = $7.20

8 0
3 years ago
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