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Sloan [31]
3 years ago
14

The triangle above is a right triangle having sides a, b, and c. Given that the measurements of a = 12 cm, b = 16 cm, and c = 20

cm, which of the following statements is true?
A.
The absolute value of the difference between the squares of the 2 smaller sides is equal to square of the third side.
B.
The sum of the squares of the 2 smaller sides is equal to the square of the third side.
C.
The sum of the 2 smaller sides is equal to the third side.
D.
The sum of the squares of the 2 smaller sides is equal to the third side.
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

The sum of the squares of the 2 smaller sides is equal to the square of the third side

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If $396 is invested at an interest rate of 13% per year and is compound continuously, how much will the investment be worth in 3
Sveta_85 [38]

Answer:

The investment at the end of the period will be $584.89.

Step-by-step explanation:

FV = PV e⁽ⁿˣ⁾

FV = Future Value = ?

PV = Present Value = $396

n = Interest Rate = 13%

x = time in years = 3

e = mathematical constant = 2.7183

FV = 396 x 2.7183⁽⁰°¹³ ˣ ³⁾

FV = 396 x 1.4770

FV = $584.89

7 0
3 years ago
Find the coordinates of the vertices of the figure after the given transformation. translation: (x, y)→(x - 4, y + 4) A) J'(1, 0
Colt1911 [192]

Answer:

Step-by-step explanation:

6 0
3 years ago
Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write
Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

  • Use double point formula and simplify it to get two eqaution.
  • Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.

~ Use double point formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1} (x - x1)

~ Keep all values.

(y  + 4) =  \frac{11 + 4}{2 + 1} (x + 1)

~ Simplify it.

y + 4 =  \frac{15}{3} (x + 1)

y + 4 = 5x + 5

5x - y + 1 = 0

Therefore this is the equation of line AB.

Now, Finding the equation of line CD.

Given;

The points of line CD are; (1,1) and (4,10).

~ Using formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1}(x - x1)

~ Keep all values.

(y - 1) =  \frac{10 - 1}{4 - 1} (x - 1)

~ Simplify it.

y - 1 = 3 x - 3

3x - y - 2 = 0

Therefore, 3x - y- 2 = 0 is the eqaution of line CD.

Use condition of parallel lines.

m1= m2

Slope of equation (i)

m1 =  \frac{ - coeff. \: of \: x}{coeff \: of \: y}

m1 =  \frac{ - 5}{ - 1}

Therefore, m1 = 5

Slope of second equation.

m2 =  \frac{ - coeff \: .of \: x}{coeff \: .of \: y}

m2 =   \frac{ - 3}{ - 1}

Therefore, m2 = 3.

Now, m1≠m2.

So, the lies are not parallel.

Check for perpendicular.

m1*m2= -1

3*5≠-1.

Therefore, they aren't perpendicular too.

So, they are neither.

<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

6 0
2 years ago
Find tan(30) (its a right triangle)
Travka [436]
Use the 30-60-90 triangle.

Tan is opposite over adjacent.

\frac{1}{ \sqrt{3} }
Square roots cannot be on the bottom.

\frac{1}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }
The bottom cancel out the square root bar.

Your answer is:

\frac{ \sqrt{3} }{3}
(It's best to memorize the 30-60-90 and the 45-45-90 triangles during trigonometry. It helps a lot.)

Hope this helps!

:)

8 0
2 years ago
For the function f(x) = 4x2 - 3x - 7, find f(-2).
timurjin [86]

Answer:

15

Step-by-step explanation:

please the answer is 15

3 0
3 years ago
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