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Vinil7 [7]
3 years ago
13

Convert the angle \theta=100^\circθ=100 ∘ theta, equals, 100, degree to radians. Express your answer exactly.

Mathematics
1 answer:
Tresset [83]3 years ago
6 0

Answer:

5pi/9 radians

Step-by-step explanation:

2 pi radians = 360 deg

pi radians = 180 deg

100 deg * pi rad/(180 deg) = 10/18 pi rad = 5/9 pi rad = 5pi/9 radians

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PLEASE HELP ME IM LOST! WILL GIVE BRAINLIEST!!!! ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find
Paul [167]
The orthocenter is the point where the three altitudes meet.
sketch the graph and you will see that AB is a horizontal line, the altitude is a vertical line through the point (1,3), so the equation of this altitude is x=1

next, find another altitude. I'll use the altitude of BC.
the slope of BC is (6-3)/(4-1)=1, so the slope of the altitude, which is perpendicular to BC going through the point A (0,6), is -1, the equation of the altitude of BC is y=-x+6
the system of equation : x=1
                                       y=-x+6
has a solution (1, 5)
the solution is where the two lines meet, the meeting point is the orthocenter. 

Double check by find the equation for other altitude:
slope of AC: (3-6)/(1-0)=-3
slope of altitude of AC: 1/3
equation of altitude of AC: y=(1/3)x+b
the altitude of AC goes through point B (4,6), so we can find out b by plug x=4, y=6 in the equation: 6=(1/3)*4+b, b=14/3
y=(1/3)x+14/3
Is (1,5) also a solution to this equation? Plug x=1 in the equation, we get y=5, so yes, (1,5) is a point on the third altitude.  
                                        
7 0
3 years ago
24 - 7/8 I’m taking a test so I don’t have much time.
HACTEHA [7]

Answer:

23.125

Step-by-step explanation:

7/8= 0.875

24-0.875=23.125

3 0
3 years ago
Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
Writing Probability as a Fraction
katrin [286]
Probability=(number of specific outcomes)/(number of possible outcomes)

There are 4+2+6+5=17 total marbles so:

P(Yellow)=4/17

P(Blue)=2/17

P(Black)=5/17

P(Red)=6/17
8 0
4 years ago
Read 2 more answers
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Nady [450]
The correct answer is x because u have to look on the x axis
4 0
3 years ago
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