True, The point at which a tangent line meets a circle is called the point of tangency.
What is Line segment?
Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
To check the point at which a tangent line meets a circle is called the point of tangency.
Now, We know that;
A line which touches the circle at a single point is known as a tangent to a circle.
And, The point where tangent meets the circle is called point of tangency.
Thus, The given statement is true.
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5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.
Answer:
1.366km
Step-by-step explanation:
The height of the mountain is [tex]3.34Km[/tex]
Right angle triangle:A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.
Let us consider that H represent the height of mountain.
Angle of elevation at point A and C shown in the diagram.
Apply tan function in triangle CBP.
[tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]
Apply tan function in triangle ABP.
[tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]
Substituting the value of equation 2 into equation 1.
[tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]
Hence, The height of the mountain is [tex]3.34Km[/tex]
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In a soup kitchen, 22 pounds of rice was used during the lunch. If 110 people came to have lunch, about how many pounds of rice was used by each person?
Answer:
0.2 pounds of rice
Step-by-step explanation:
To find how much rice was used by each person, divide 22 by 110
22/110
= 0.2
So, each person used 0.2 pounds of rice
I don’t k is how to do this stuff
Answer:
x = 24.571
Step-by-step explanation:
A circles angle is 360 degrees, so you can work out x by equalling everything to 360
360 = 5x + 12 + 9x + 4
360 = 14x + 16
360 - 16 = 344
344 = 14x
344 ÷ 14 = 24.571
x = 24.571
So the smaller angle is 225°
And the bigger angle is 135°
(I'm guessing shape isn't to scale)
HELP PLS ASAP!!!!!!!!!!
Answer:
ima say 43
Step-by-step explanation:
its hard but look the caculate it
What is the difference between the absolute value of -8 and the absolute value of 6?
A) 2
B) 8
C) 14
D) 16
50/20 equals 20 over X
Answer:
50/x
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
cross multiply:
50*x = 20*20
50x=400
divide by x (50)
50x/50 = 400/50
x=8
8x + 6 – 7x = 6
I need some help
Answer: x = 0
Step-by-step explanation:
11 divided by 3 as a mixed number
Answer:
3 2/3
Step-by-step explanation:
Find the value of 4n when n=3
Answer:
13
Step-by-step explanation:
4 * 3 = 12
if 5 + root 3 divided by 7 minus 4 root 3 is equals to a + b root 3 find the values of a and b
Answer:
a + b = 93.8
plz follow me
hope it help u
Help me please. need quickly. What is the value of Z
Answer:
z = 6
Step-by-step explanation:
[tex]8z-36=2z\\6z-36=0\\6z=36\\z=6[/tex]
help pleaseee with this and the other ones
Answer:
x=8+√59 or x=8−√59
Step-by-step explanation:
For this equation: a=1, b=-16, c=5
1x2+−16x+5=0
Step 1: Use quadratic formula with a=1, b=-16, c=5.
x=
−b±√b2−4ac
2a
x=
−(−16)±√(−16)2−4(1)(5)
2(1)
x=
16±√236
2
x=8+√59 or x=8−√59
Mia and her children went into a bakery where they sell cupcakes for $2.75 each and
brownies for $1.25 each. Mia has $30 to spend and must buy at least 14 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically.
Answer:
[tex]x = 8.5[/tex] and [tex]y = 5.3[/tex]
Step-by-step explanation:
Given
[tex]x = cupcakes[/tex]
[tex]y = brownies[/tex]
From the first statement:
[tex]2.75x + 1.25y = 30[/tex]
From the second statement:
[tex]x + y \le 14[/tex]
Required
Solve graphically
I've written the equations (above) and they are:
[tex]x + y \le 14[/tex]
[tex]2.75x + 1.25y = 30[/tex]
See attachment for graph.
The blue line represents [tex]2.75x + 1.25y = 30[/tex]
The shaded part of the graph represents [tex]x + y \le 14[/tex]
From the graph, the solution is:
[tex]x = 8.5[/tex]
[tex]y = 5.3[/tex]
Mary bought a 7lb bag of flour. She used 1/3 of the bag to bake wedding treats.
Answer:
she is left with 4.67 LB of flour.
Step-by-step explanation:
7 divided by 3 = 2.3333333
2.3333333 x 2 = 4.67
what is 512.3 divded by 100
Answer:
the answer is 5.123
Step-by-step explanation:
have a good day <3
Answer:
5.123
Step-by-step explanation:
Just need to move the decimal two times to the left because there are two zeros.
Find the slope on the coordinate plane (slope is rise/run).
Answer:
-4/2 or -2/1
Step-by-step explanation:
the second answer is just simplified
Answer:
-4/2
Step-by-step explanation:
count how many times it goes up or down, then count how many times it takes to reach a point.
it goes down 4 times and it slides over to the right 2 times. the line is going down so its going to be negative
solve for z 7z + 4 - 9z = 8 (also please don't have the answer be a negative)
Answer:
z = -2
Step-by-step explanation:
lol okay If it said that
Anyone got the answer? Would be nice pls
Answer:
20 cm^3
Step-by-step explanation:
The volume of a rectangular prism is V=length*width*height. Therefore, to find the volume, plug in the values into the equation
V = (2/3)*5*6
V = 20 cm^3
Which graph represents the function?
f(x)=1x−1−2
IS MY ANSWER CORRECT????
You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)
The equation for the given graph can be:
[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Using the graph to form the equationSince the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1
Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function outputs -3 as value of the function.
Thus,
[tex]f(0) = -3[/tex]
Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.
Thus, we have:
[tex]f(x) = \dfrac{1}{x-1} - 2[/tex]
Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,
[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]
It is correct.
Thus,
The equation for the given graph can be:
[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]
Its graph is attached below.
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please help!! i'll give you brainliest, 5 stars, and a thanks
Answer:
2.25 I think
Step-by-step explanation:
Answer:
to find the answer out you need to find out 2/3 of $4.50 and to do that divide it by three. once you have figured that out multiply it by 2 and you will get your answer
Step-by-step explanation:
see above
HURRY PLEASE, can you have a abotuse triangle with one acute angle? explain
Answer:
No
Step-by-step explanation:
write the equation for the line that goes through point (12, 15) with slope m = -2
Answer:
Y=5\4x
Step-by-step explanation:
gradient is given by ∆y/∆x
g=5/4
Y=MX+C
15=5/4(12)+c
15=15+c
C=0
y=mx+c
y=5\4x
simplify the expression: 4(-4+n) =
In a store at the local mall, the price for sweaters was $30 each. In October, the price was raised by 20%. In December, the price was raised by 40%. What is the price of a sweater in this store now?
Answer:
Your answer
50.4 $
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
What is the circumference of a circle whose radius measures 9 inches?
Plz help due tomorrow
Answer:
20.5+10x
Step-by-step explanation:
cant use thisqwdwiwied
Answer:
ooffffffffffff have a good day/night lol
Answer:
What?? lol
Step-by-step explanation:
A=6 b=4 c=1/3 what is 9c
Answer:
9c=3
Step-by-step explanation:If c=1/3 9/3=3
this is the question please help.
Explain the difference between an x and a y-intercept.
Step-by-step explanation:
so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right
