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Nataly_w [17]
3 years ago
11

What is the value of tan (B) in the diagram?

Mathematics
2 answers:
aivan3 [116]3 years ago
8 0

Answer:

Option C is correct.

Step-by-step explanation:

tan (B) = Perpendicular / Base

For angle B:

Perpendicular = 5

Base = 5√3

tan (B) = Perpendicular / Base

tan (B) = 5/5√3

tan (B) = 1/√3

So, Option C is correct.

hodyreva [135]3 years ago
7 0

Answer:

The correct answer is third option

1/√3

Step-by-step explanation:

From the figure we can see a right angled triangle ABC.

Right angled at C.

AB = 10

AC = 5

BC = 5√3

<u>Points to remember</u>

Tan θ = Opposite side/Adjacent side

<u>To find the value of tan(B)</u>

Tan B =  Opposite side/Adjacent side

 = AC/BC

 = 5/5√3

 = 1/√3

Therefore the value of tan(B) =  1/√3

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Prove that the median to the base of an isosceles triangle is also: the altitude to the base.
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3 years ago
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Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns
Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

x+y=32000        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

0.04x+0.07y=2000           ...(ii)

From (i) and (ii), we get

0.04x+0.07(32000-x)=2000

0.04x+2240-0.07x=2000

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-0.03x=-240

Divide both sides by -0.03.

x=\dfrac{-240}{-0.03}

x=8000

Put x=8000 in (i).

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8 0
3 years ago
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Answer:

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Step-by-step explanation:


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3 years ago
5. How many solutions does this system of equations have?
Diano4ka-milaya [45]

Answer:

\text{\boxed{\sf{D. \ No\  solution}}}

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

<h3>y=-4x-9 and y=-4x-1</h3>

First, you have to substitute of y=-4x-1.

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\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}

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