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7nadin3 [17]
3 years ago
10

How do I find the missing side of this similar triangle by using the are? Area for A is 17 mm^2 and B is 6800 mm^2

Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

  • x = 150
  • y = 4

Step-by-step explanation:

The ratio of areas of similar figures is the square of the scale factor. Then we have ...

  larger/smaller = √(6800/17) = √400 = 20

The dimensions of the larger triangle are 20 times those of the smaller triangle.

  x mm = 20(7.5 mm)

  x = 150

__

  20(y mm) = 80 mm

  y = 4

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Determine the equation of a line that passes through A(2,5) and is parallel to the line defined by 3x−y+12=0. State the equation
Ksju [112]

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

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- y = - 3x - 12 ( multiply through by - 1 )

y = 3x + 12 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , thus

y = 3x + c ← is the partial equation

To find c substitute (2, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

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6 0
3 years ago
Given the right triangle shown below, prove cos2(θ) + sin2(θ) = 1.
wel

Answer:

-definition of cosine

-definition of sine

-Pythagorean Theorem

-Substitution

-laws of exponents

Step-by-step explanation:

3 0
4 years ago
f(x) = 4x^2+2x+6 What is the value of the discriminant of f? How many distinct real number zeros does f have?
Sauron [17]

Answer:

The value of Discriminant of the function is -92

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Step-by-step explanation:

Given:

f(x)=4x^{2} +2x+6

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ax^{2}+bx+c=0

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a=4\\b=2\\c=6

Formula for discriminant we have

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now for zeros  we have

x=\frac{-b+\sqrt{b^{2-4ac} } }{2a} \\or\\x=\frac{-b-\sqrt{b^{2-4ac} } }{2a} \\

on substituting these values we get

x=\frac{-2+\sqrt{-92} }{8}

or

x=\frac{-2-\sqrt{-92} }{8}

the term \sqrt{-92} is imaginary

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3 0
3 years ago
Read 2 more answers
PLEASE ANSWER NUMBER FOUR AND SHOW WORK THANK YOU IN ADVANCE.
Paladinen [302]

Answer:

A,C, AND D

Step-by-step explanation:

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E. 6+6=12 therefore not a triangle

8 0
4 years ago
I need some help please
jeka57 [31]
The cosine ratio is the side adjacent to the reference angle over the hypotenuse.  Angle T has a side opposite of length 68, and the hypotenuse is 85.  Therefore, the cosine of T is 68/85.  That gives us a decimal of .8.  It's very important that the ratio of sin and cos are decimals less than 1 but greater than 0.  If you try to take the inverse cosine of, say, 1.4 on your calculator you will get an error message.  That's because sin and cos oscillate between 1 and -1  on the graph and do not exist higher or lower than that. 
8 0
4 years ago
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