Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is 60°. What is the length of the third side of the triangle?

Answers

Answer 1

Answer: There is many way how to get the length of a triangle. You can use many method but to your question the best method to use is Law of sine and cosine Side Angle Side triangle formula. This formula is this one (a^2 = b^+c^2-2bc*cos(angle)). So if your fill it up it would be (a^2 = 3^2+4^2-2*3*4*cos(60)). The answer would be 3.61

Answer 2

Answer:

The length of the third side is 3.6 units

How to determine the length of the third sides?

Let the sides of the triangle be;

x, y and z

So, we have:

x = 3

y = 4

<Z = 60

The length of the third side is then calculated using the following law of cosine

z^2 = x^2 + y^2 - 2xy cos(Z)

So, we have:

z^2 = 3^2 + 4^2 - 2 * 3 * 4 * cos(60)

Evaluate the exponents and the product

z^2 = 9 + 16 - 12

Evaluate the sum and the difference

z^2 = 13

Take the square root of both sides

z = 3.6

Hence, the length of the third side is 3.6 units

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Which statements are true about the function -x + y = -2

Answers

Answer:

a, b, d

Step-by-step explanation:

y = x - 2

(a) The y-intercept is ( - 2)

(b) The x-intercept is 2

(d) The graph of the function ....

The equation of a circle is (x - 3)2 + (y + 2)2 = 25. The point (8, -2) is on the circle.What is the equation of the line that is tangent to the circle at (8, -2)?

y = 8
x = 8
x = 3
y = 3

Answers

Answer:

2nd Option is correct.

Step-by-step explanation:

Given Equation of Circle,

( x - 3 )² + ( y + 2 )² = 25

Point on circle = ( 8 , -2 )

To find: The equation of the line that is tangent to the circle at given point.

By comparing equation of circle with standard equation of circle,

( x - h )² + ( y - k )² = r²

we get,

Coordinates of center = ( 3 , -2 )

Slope of the radius line from center to point ( 8 , -2 ) = $(-2-(-2))/(8-3)=0$

Since, y-coordinate of radius line is same.

⇒ This line is parallel to x-axis.

We also knows that Radius and tangent are perpendicular to each other at point of contact.

⇒ Tangent is Parallel to y-axis and passes through ( 8 , -2 )

⇒ Equation of Tangent is x = 8

Therefore, 2nd Option is correct.

Hello,

Answer A

y=8
=======================

Round to the place value of the less precise measurement.
2.13 m + 8.6 m

Answers

The answer would be 10.19m. If you want to round it of to a less precise measurement it would be 10 m. That is rounding of the decimal value to the ones place. the rule of rounding of is form 6 t0 9 it would add 1 to the nearest place value next to it and 0 - 5 will not.

(07.04) When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exponent on the variable z is _____. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

The exponent on variable z is -5

Step-by-step explanation:

$(27x^2z)/(-3x^2z^6)$

To simplify it we apply property of exponents

a^m / a^n = a^m-n

LEts divide the number first

27/ -3= -9

we have x^2 at the top and bottom . so we cancel it out

$(z)/(z^6) =(z^1)/(z^6) =z^(-5)$

Now combine all the terms

-9z^-5

The exponent on variable z is -5

The answer is negative 5

To increase or decrease an amount by 30% what single multiplier would you use?

Answers

100%-30%=70%
100%+30%=130%

to decrese by 30%, multiply by 70%
to increase by 30%, multiply by 130%

i think that would be x 30/100

Citizens would like a new form of public transportation in their city. who would the address regarding this request?local commissioner
U.S. senator
or state representative.

Answers

state represent................

Answer:

Local Commissioner

Step-by-step explanation:

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