The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to point C, how long is the tangent segment from point C to the circle? Use the figure below to help guide your response. Explain your answer and show all work.
Answers
Answer:
Exact Length = 2*sqrt(30)
Approximate Length = 10.95445
======================================================
Work Shown:
(tangent)^2 = (external secant)*(whole secant)
(CD)^2 = (CB)*(CA)
(CD)^2 = (CB)*(CB+BA)
x^2 = 5*(5+19)
x^2 = 120
x = sqrt(120)
x = sqrt(4*30)
x = sqrt(4)*sqrt(30)
x = 2*sqrt(30) .......... exact length
x = 10.95445 ............. approximate length
The length of the tangent segment is; x = 10.95
Length of TangentFrom secant theorem, we know that;
Tangent ² = length of external secant × total length of secant.
From the image, we see that;
Length of tangent is x.
External secant = 5
Total length of secant = 19 + 5 = 24
Thus;
x² = 5 × 24
x² = 120
x = √120
x ≈ 10.95
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Related Questions
Which of the following is most likely the next step in the series?
Answers
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The shape starts with 2 dots, then to 3 dots, and then to 4 dots. This means that the next step must have 5 dots, which option D has.
Parallel Lines
PLEASE HELP I NEED ASAP!
Answers
Answer:
B
Step-by-step explanation:
The triangles do have equal angles and proportional sides, because they are bot right triangles formed on parallel lines.
:)ur welcome
Answer: Choice B
Yes. Right triangles formed on parallel lines have proportional side lengths and congruent angles.
====================================================
Explanation:
Parallel lines always have equal slopes, but different y intercepts.
Recall that slope = rise/run.
The "rise" is the vertical portion of the triangle, while the "run" is the horizontal portion.
So let's say we had a slope of rise/run = 2/3. This means rise = 2 and run = 3.
If we had something like rise/run = 4/6, then that reduces to 2/3, showing that 4/6 = 2/3. They are the same slope.
We can use the SAS similarity theorem to prove the triangles formed in the diagram are congruent based on what is discussed above.
Because the triangles are similar, this means the corresponding angles are congruent. One such pair is the pair of right angles shown.
Hiiioo!! Can you please help me out with this!!! ❤️❤️:) (9)
Answers
9514 1404 393
Answer:
segment SRGivensegment PRSSS postulateStep-by-step explanation:
1. The only "Given" statement involving QR is ...
QR ≅ SR
2. You will notice that PQ ≅ PS is a Given statement.
3. The reflexive property says a segment is congruent to itself:
PR ≅ PR
4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.
What is the approximate result of converting 20 centimeters into inches? Remember that 1 inch = 2.54 centimeters.
Answers
Answer:
7.874 inches
Step-by-step explanation:
20/2.54=7.874
Answer:
7.87
Step-by-step explanation:
1/x = 2.54/20
2.54x = 20
x = 20/2.54
x = 7.87401574803
x = 7.87
the width of a rectangle is 2 inches less than its length , and the area is 35 sqaure inches. what are thd length and width of the rectangle
Answers
Answer:
length: 7in.
width: 5in.
Step-by-step explanation:
so we know that 7*5 is 35 yes? since we already know the area, which is just l*w, and that 5 is two less that 7, we can conclude that the length is 7 and the width 5
hope this helps! lemme know if you need more
help plss i don't get it can yall plz help
Answers
Answer: 24, b
Step-by-step explanation:
So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.
Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.
So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.
Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.
Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.
What’s the perimeter
Answers
Answer:
60 cm
Step-by-step explanation:
Perimeter = 2(12) + 2(18)
Perimeter = 2(30) = 60
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
60cm
Step-by-step explanation:
(diagram with colors below)
The two red sides can be visualized as the same length as the length, so the two red segments add up to 18cm. The same thing can be said with the blue segments and the width. We can say the perimeter can be:
18 + 18 + 12 + 12 = 60cm
PLZ HELP! I will give brainliest!!!
Answers
Answer: x axis is time in hours, y axis is water level in centimeters
I can't see the rest of the problem since you didnt show it
Step-by-step explanation:
f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-
Answers
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
The graphs of f(x) and g(x) are given.
The graph of g(x) passes through the point (3,3).
To find:
The function g(x).
Solution:
From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,
[tex]g(x)=kf(x)[/tex]
Where, k is the stretch factor.
It can be written as:
[tex]g(x)=kx^2[/tex] ...(i)
The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get
[tex]3=k(3)^2[/tex]
[tex]3=k(9)[/tex]
[tex]\dfrac{3}{9}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]g(x)=\dfrac{1}{3}x^2[/tex]
Therefore, the correct option is D.
50 POINTS TO WHOEVER ANSWERS THIS NOW!!!! IM TIMED HELP.
One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.
The prism said to have an equilateral triangle base has the measurements shown.
Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answers
Answer:
A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²
169 = 144 + 25
169 = 169
D:4*sqrt(2)
E: LSA of a cube = 100 in²
Step-by-step explanation:
Hope this helps
I need help with these 4
Answers
Answer:
dude if they have a pattern they are a function figure it out from there
whats the answer for
x/9+7>10
Answers
Answer:
x > 27
Step-by-step explanation:
x/9 + 7 > 10
Subtract 7 from goth sides.
x/9 > 3
Multiply both sides by 9.
x > 27
What is the area of triangle ABC?
3 square units
O 7 Sguare units
11 square units
15 square units
Answers
Answer:
3
Step-by-step explanation:
base = 4-1
= 3
height = 3-1
= 2
Area = 1/2 (b)(h)
= 1/2 (3)(2)
= 3
therefore the answer is 3 square unit
x + 3y = 1, -3x - 3y = -15
System of question
Answers
Step-by-step explanation:
[tex]x + 3y = 1 \\ - 3x - 3y = - 15 \\ x = 1 - 3y \\ - 3(1 - 3y) - 3y = - 15 \\ - 3 + 9y - 3y = - 15 \\ - 3 + 6y = - 15 \\ 6y = - 15 + 3 \\ 6y = - 12 \\ y = - 2[/tex]
[tex]y = - 2 \\x = 1 - 3y \\ x = 1 - 3( - 2) \\ x = 1 + 6 \\ x = 7[/tex]
Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in josiahs account, y, after x years?
a-y=360(1.3)^x
b-y=360(0.3^x
c-y=360(0.03)^x
d-y=360(1.03)^x
Answers
Answer:
y = 360 (1.03)^x
Step-by-step explanation:
Amount in account = principle * (1+ rate) ^ time
When the interest is annual
rate is in decimal form and time is in years
y = 360 ( 1+.03) ^x
y = 360 (1.03)^x
Each side of a regular polygon is 2.5 cm in length .The perimeter of the polygon is 12.5 cm .How many sides does the polygon have?
with explanation please.
Answers
Answer:
There are 5 sides in the polygon.
Total perimeter of the polygon is 12.5 cm and it is a regular polygon.
Each side of the polygon is 2.5 cm.
So total number of sides is: Total perimeter of the polygon / Length of each side = 12.5 cm/ 2.5 cm = 5
Hence, the polygon has 5 sides and it is a regular pentagon.
Step-by-step explanation:
I hope this is correct, if it isn't please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
Estimate the measure of the following angles
Answers
Answer:
For A I'd say about 100° and for B about 150° (This is just my estimation)
Step-by-step explanation:
A is almost a right angle but a little more than 90°.
B is almost a straight/flat angle but it's less than 180°.
Answer:
a. 115(Looks kinda like 112 or 113 but it says estimate so it should work)
b. around 230
Step-by-step explanation:
A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?
Answers
Answer:
C. 8
Step-by-step explanation:
Options
A. 5
B. 6
C. 8
D. Can't say without knowing the number of participants
Number of sweet distributed = Total number of sweets - left over sweets
= 1025 sweets - 1 left over sweet
= 1024 sweets
Number of participants = Number of sweets distributed / number of sweets given to each participant
A. 5
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1024 /5 Sweets
= 204.8 participant
B. 6
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1024/6
= 170.67 participant
C. 8
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1,024/8
= 128 participant
D. Can't say without knowing the number of participants
From the options given, the number of sweets given away to each participant could be 8
Number of sweets given to each participants is 32.
Since, A sports teacher had 1025 sweets and he had one sweet left after distributing.
So, number of sweets he distributing is, [tex]1025-1=1024[/tex]
Since, distributing these equally amongst all the participants
Therefore, number of sweets given to each participants is, [tex]=\sqrt{1024}=32[/tex]
So, total number of participants is 32 and number of sweets given to each participants is 32.
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Help ASAP will give the Brainliest answer
The degree of the expression 4x^5y^m z is 10. What is the value of m?
A2
B 4
C5
D 10
Answers
Which expressions are equivalent
27x/9x
Answers
Answer:
3x
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
You have [tex]\frac{27x}{9x}[/tex]
You can factor out the x in the numerator and denominator to get [tex]\frac{27}{9}[/tex]
You can further simplify this by factoring out a 9 => [tex]\frac{3(9)}{(9)}[/tex]
Thus getting 3
What is the slope of the line containing (-2,5) and (4, -4)?
O A. -2
O B.
3
2
O c. 2
O D.
3
2
Answers
Answer: slope is -3/2
Step-by-step explanation:
(-2,5) (4,-4)
Use the slope formula y2-y1/x2-x1
5-(-4)/-2-4 = -3/2
Answer:
The slope of the line containing (-2,5) and (4,-4) is [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
IF YOU ANSERW MY MATH QUESTIONS ILL GIVE ADTINAL 50) POINTS FOR each question and crown evry question.
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
Answers
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that descend means to lower. Anything lower than 0 has to be negative. It says that she descends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Answer:
220.4 feet below sea level
Step-by-step explanation:
use the following formula:
rate x time = distance
(rate going down)(time going down) = distance going down.
so if she starts at 0 feet above sea level, and descends for 91 seconds at a speed of 2.2 ft/sec. you would plug that in as:
(2.2 ft/sec)(91 seconds) = distance of 198 feet.
she then ascends for 32 seconds at a speed of 0.7 feet/second.
so, substitute that;
(0.7 ft/sec)(32sec) = distance of 22.4 feet.
distance traveled downward + distance traveled upward = total distance of location.
198 + 22.4 feet = 220.4 feet
the difference of 100 and the product of y and 12
pls help
Answers
Answer:
can't understand question can you edit it or repost it
Step-by-step explanation:
and please mark me thanks
The algebraic expression for the given statement is: 100 - 12y.
What is an Algebraic Expression?An algebraic expression is a mathematical statement used to state a given problem using variables and digits.
Product means multiplication while difference means subtraction.
Product of y and 12 = 12y
Difference of 100 and 12 y would therefore be expressed in algebraic expression as: 100 - 12y.
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Line l has a slope of . The line through which of the following pair of points is perpendicular to l?
A. (-5, -6), (3,3)
B.(-9, -6), (3,3)
C. (3,-5), (-6,3)
D. (9,-2),(-6,6)
Answers
Answer:
b is the right answer
Step-by-step explanation:
UESTION 4
1
A certain number multiplied by five and then two subtracted,
the answer is seventy-seven. Find the number
Answers
Answer:
x = 15.8
Step-by-step explanation:
let the number be x
according to the question equation is
x*5 - 2 = 77
5x - 2 = 17
5x = 77 + 2
5x = 79
x = 79/5
x = 15.8
Answer:
5x - 2 = 77
x = 15.8
Step-by-step explanation:
a number - x
times 5 - 5x
minus 2 - 5x - 2
equals 77 - 5x - 2 = 77
77 + 2 = 79
79 ÷ 5 = 15.8
5(15.8) - 2 = 77
What is the monthly net income?? Show work plz
Answers
Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3
Answers
Answer:
0.00045 [tex]m^{3}[/tex]
Step-by-step explanation:
450 [tex]cm^{3}[/tex] ⇒ [tex]m^{3}[/tex]
1 [tex]cm^{3}[/tex] = 0.000001 [tex]m^{3}[/tex]
= 450 [tex]cm^{3}[/tex] = 450 × 0.000001 = 0.00045 [tex]m^{3}[/tex]
Answer:
450 (cm*3) = 0,00045 (m*3)
Step-by-step explanation:
what is the solution to the system of equations graphed below?
Answers
Answer:
C. (1, -2)
General Formulas and Concepts:
Algebra I
Reading a coordinate graphCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).
∴ our answer is C.
Answer:
C. (1,-2)
Step-by-step explanation:
with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)
hope this helps! lemme know if you need more
angad was thinking of a number. angad halves the number and gets an answer of 78.5. form an equation with x from the information
Answers
Answer:
157
Step-by-step explanation:
Let the number Angad was thinking be 'x'
Equation:-
1/2(x) = 78.5
x = 78.5(2)
x = 157
The given equation has been solved in the table.
Step
Statement
1
fr – 9 = -13
RO
2
2
31
et – 9 + 9 = -13
+ 9
2
ਤੇ
3
3 = -4
3 2
3
3 .(-4)
2.32
5
6
in which step was the addition property of equality applied?
Answers
Answer:
Step 3
Step-by-step explanation:
