Suppose that is in standard position and the given point is on the terminal side of 0. Give the exact value of the indicated trig function for 0. 15) (-5, 12); Find sin
Answers
Answer:
12/13
Step-by-step explanation:
The length of the segment from the origin to the terminal point is ...
r = √((-5)² +12²) = √169 = 13
The sine of the angle is the ratio of the y-coordinate to this distance
sin(θ) = y/r = 12/13
_____
Additional comment
The other trig functions are ...
cos(θ) = x/r = -5/13
tan(θ) = y/x = -12/5
This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.
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Answer:
around 16 minutes. you partition an hour and a half (all out) by what number of sections he read (5.5
Step-by-step explanation:
I will give Brainliest
Answers
Answer:
20 in
Step-by-step explanation:
The formula for the volume of a triangular pyramid is V=1/3 x B x H, in which B is the area of the base and H is the height. You're given the volume and area of the base so you can just plug that into the formula. You will get 120 = 1/3 x 18 x H. You can multiply the 1/3 and 18 so you will get 120 = 6H. In this case, you are solving for H so you need to isolate the variable. You can do this by dividing both sides by 6. You will end up eith 20 = H.
There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 0, negative 20 and 4, 10.
Answers
Answers
Answer:
UV = 15
BD= 31
Step-by-step explanation:
Since, U is the midpoint of TV.
Therefore,
TU = UV
x + 10 = 3x
x - 3x = - 10
-2x = - 10
x = - 10/-2
x = 5
UV = 3x = 3*5
UV = 15
BD = BC + CD
3x - 11 = x - 2 + 19
3x - 11 = x + 17
3x - x = 11 + 17
2x = 28
x = 28/2
x = 14
BD = 3x - 11 = 3*14-11 = 42 - 11
BD= 31
Final answer:
We used the relationship that BC + CD = BD and then solved for x, which we found to be 14. We then substituted 14 for x in the equation for BD, which gave us a result of 31.
Explanation:
In the given question, we have a piece of a line divided into different sections: BC, BD, and CD with their respective lengths. BD is represented through a variable equation. We know that BC + CD = BD, this is a fundamental property of geometry that the sum of the lengths of two consecutive sections of a line is equal to the total length. So, substitute the given values:
x − 2 + 19 = 3x − 11
Simplify the equation by combining like terms: x + 17 = 3x - 11. Now, let's solve for x:
First, consolidate x's on one side by subtracting 'x' on both sides. We get 17 = 2x - 11.
Next, add 11 on both sides to solve for x. We get, 28 = 2x.
Finally, divide by 2 on both sides to find x, x = 14.
Now, we can find BD by substituting x into the equation 3x - 11, we get:
BD = 3*14 - 11 = 42 - 11 = 31.
Learn more about Algebraic Equations here:
#SPJ2
Answers
Step-by-step explanation:
This is a straight line equation. We only need two points to draw a straight line.
Choose two different numbers, put them into the equation instead of x, and calculate the value of y.
for x = 8
(8, 1)
for x = -8
(-8, 3)
Mark the points in the coordinate system and draw a straight line through the given points.
(look at the attachment)
at this rate of speed, how many miles the airplane travel in 1 1/2 hours?
Answers
Answer: A=450
Step-by-step explanation: