Find y. Do not round ! Geometry homework, plz help if you can/if you know how ;) thank you
Answers
9514 1404 393
Answer:
y = 11.2 in
Step-by-step explanation:
The product of segment lengths to the near and far intersection points of the secant with the circle are the same for all secants from the same external point. Here, there are three, so we have the relations ...
9×9 = 5(5+y) = x(x+19)
Then the value of y can be found as ...
81/5 = 5+y
16.2 -5 = y = 11.2
__
The value of x is a little trickier, as a quadratic is involved.
81 = x² +19x
81 + 90.25 = x² +19x +90.25 . . . . complete the square
171.25 = (x +9.5)²
x = √171.25 - 9.5 ≈ 3.58625...
__
Additional comment
For the purpose here, the tangent can be considered to be a degenerate case of a secant in which the two points of intersection with the circle are the same point. For the purpose of this calculation, the length of the tangent is squared. (The distance to the points of intersection is the same.)
I find it easier to remember one rule, rather than a separate rule for tangents. With some imagination, the same rule can be applied when the "secants" meet inside the circle. In that case, they are called "chords".
We have shown the value for x because we suspect some versions of this question may ask for x instead of y. (Rounding may be required in that case.)
Related Questions
Jorge is standing at a horizontal distance 25 feet away from the base of a building his eyes level is 5.5 feet above the ground looking up at the angle of elevation of 65 he notices a window washer on the side of the building
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Answer:
59.11 ft
Step-by-step explanation:
SOMEONE PLEASE HELP :(
Answers
Answer:
[tex](x-3)^{2} = 10[/tex]
Step-by-step explanation:
[tex]\\Question 1\\\\-2xc = -6x\\2xc = 6x\\c = \frac{6}{2} \\c = 3\\x^{2} - 6x + cx^{2} = 1 + c^{2} \\x^{2} - 6x + 3^{2} = 1 + 3^{2}\\x^{2} - 6x + 9 = 1 + 9\\x^{2} - 6x + 9 = 10\\(x - 3)^{2} = 10\\REWRITINGx^{2} - 6x = 1 is equal (x -3)^{2} = 10\\[/tex]
I hope this help!
I don't know the second one ^-^
What is 9X plus 2Y equals -14 in slope intercept form
Answers
Answer:
y = -9/2x-7
Step-by-step explanation:
9x+2y = -14
-9x -9x
2y= -9x-14
/2 /2
y= -9/2x-7
A certain television is advertised as a 90- inch Tv ( the diagonal length).
Answers
Answer:
The width is 64.3 inches
Step-by-step explanation:
Given
[tex]d = 90[/tex] --- diagonal
[tex]h = 63[/tex] --- height
Required
Determine the width (w) of the TV
To do this, we make use of Pythagoras theorem which is illustrated as:
[tex]d^2 = h^2 + w^2[/tex]
So, we have:
[tex]90^2 = 63^2 + w^2[/tex]
Evaluate all squares
[tex]8100 = 3969 + w^2[/tex]
Collect like terms
[tex]w^2 = 8100 - 3969[/tex]
[tex]w^2 = 4131[/tex]
Take positive square roots of both sides
[tex]w = \sqrt{4131[/tex]
[tex]w = 64.3[/tex] -- approximated
There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and received prizes. How many received prizes?
Please Answer In English
No link Kailangan ko na po ngayon!! :)
Answers
Answer:
8 pupils received prices
Step-by-step explanation:
20% of 40 = 8 (8 boys)
15% of 20 =3 (3 girls)
8+3 = 11
Answer:
21 pupils received the prizes.
Step-by-step explanation:
20% +15% =35%
35/100 of 60 =21.
1
3
16
Which expression is equivalent to 3/64a6b7c9?
O zabo (V4a?b°c)
4a²b2c (VD
Baºbc* (V50
Ba?b%cº (PD)
Answers
Answer:
Step-by-step explanation:
The equivalent expression is,
⇒ 4a²b²c³ ∛b
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ ∛64a⁶b⁷c⁹
Now, We can simplify the expression as;
⇒ ∛64a⁶b⁷c⁹
⇒ ∛64a⁶b⁷c⁹
⇒ ∛4³ (a²)³ (b²)³ (b) (c³)³
⇒ 4a²b²c³ ∛b
Thus, The equivalent expression is,
⇒ 4a²b²c³ ∛b
Learn more about the mathematical expression visit:
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Below is a list of equations and expressions.
1.
5(x + 3) = 25
2.
3 + x = -9
3.
X +5
3
4.
3(x + 3)
Which are examples of expressions?
A 1 and 2
B 3 and 4
с
2 and 3
D
3 only
Answers
Answer:
The answer is B.
Step-by-step explanation:
Question 1 of 10
Using the graph below, select all statements that are true.
.
+10
O A. (5.1) = 5
OB. This graph is one-to-one.
C. f(0.6) = 0
D. This is the graph of the greatest integer function,
E. (-3.2) = -3
SUBMIT
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Answer:
the answer is going to be b
If anyone could help I would be so happy!
Answers
Answer: well i cant help... so dont be happy! :)
What is the median?
2, 2, 1, 3, 5, 10, 2, 5
Answers
Answer:
The Miriam is 1,2,2,2,3,5,5,10
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
arrange the numbers in assending order.
Find the Laplace Transform for 102
Answers
Answer:
d'f(t) = 6cos 2t(2)+5sin 2t(2)
= 12cos 2t + 10sin 2t
Step-by-step explanation:
4
Acellus
Find the lateral area of this cone.
Leave your answer in terms of pie
4ft
3ft
LA = [ ? ] pie ft2
Hint: Lateral Area of a Cone = mre
Where l = slant height
Enter
Answers
Answer:12
Step-by-step explanation: I multiplied 3 times 4
The Lateral Surface Area of cone is 12 π ft³
what is Lateral Surface area of Cone?The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point
example:
Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)
Solution: Given that r = 21 units and h = 20 units
Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units
We know, the lateral area of the cone = πrL
Lateral area of a cone = (22/7) × 21 × 29
= 22 × 3 × 29
= 1914 units2
Answer: The lateral surface area of the given cone is 1914 units2
Given:
l= 4 ft
r= 3 ft
Lateral area = πrl
Lateral area = π * 3 * 4
Lateral area = 12 π ft³
Learn more about this concept here:
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What is 32 divided by 4 to the second power plus 35-20 divided by 5
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Can someone help me find the area of this shape.
Answers
Answer:
37 ft²
Step-by-step explanation:
The figure is composed of a triangle and a square
Therefore, area of the figure = area of the triangle + area of the square
= ½bh + s²
Where,
b = 1.5 + 4 + 1.5 = 7 ft
h = 6 ft
s = 4 ft
Plug in the values into the equation
Area of the figure = ½*7*6 + 4²
= 21 + 16
= 37 ft²
For a certain brand of tomato seeds, the seed package claims that it takes 87 days after planting for the tomato plants to produce fruit. Sarah, a botanist, wanted to know whether the mean number of days for the plants to produce fruit where she lives is different from 87 days. She planted 40 seeds and recorded the number of days for each plant to produce fruit. With all conditions for inference met, the hypothesis test was conducted at the significance level a = 0.05, and the test resulted in a p-value of 0.0752. ?
Which of the following is a correct conclusion?
A. Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days.
B. Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
C. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days.
D. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
E. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is equal to 87 days.
Answers
Answer:
D. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
Step-by-step explanation:
The population mean, μ is given as 87
This population value is used to state the Null hypothesis ;
H0 : μ = 87
The alternative hypothesis is the opposite of the Null ; and hence, claims that the mean is different from the population mean, μ ≠ 87
H1: μ ≠ 87
The Decison level :
When Pvalue < α ; We reject the Null otherwise we fail to reject the null
The given p and α value :
P-value = 0.0752
α = 0.05
0.075 > 0.05 ; Hence ;
Pvalue > α ; We fail to reject the Null
We can thus conclude that there is not enough evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
Use the graph below to find the indicated function Value. y=f(x); f(4)
Answers
then y=3
The value of f(4) is 3 if the graph of the function is shown in the picture, the answer is 3.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The graph of the function is shown in the picture.
From the graph the value of f(4) can be evaluated as follows:
y = f(x)
Plug x = 4
y = f(4)
From the graph:
Draw a vertical line from point 3 on the x-axis and when it cuts the curve draw a horizontal line when the line cuts the y-axis note the point.
y = f(4) = 3
Thus, the value of f(4) is 3 if the graph of the function is shown in the picture, the answer is 3.
Learn more about the function here:
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Evan is thinking of a number that contains the digit 2 The digit 2 in Evan's number has 10 times the value of the
digit 2 in the number 328,907.
Which number could be the number that Evan is thinking of?
127,905
145,298
290,837
352,987
Answers
Answer:
C, 290,837
Step-by-step explanation:
The 2 in his number is 10x the 2 in the number 328,907
This means you need to move the number to the left once, hence it being in the hundred thousands.
290,837 is the final answer.
Add (-2x + 4) + (4x + 6)
A) 2x + 10
B 6x + 10
C) 2x - 2
D) 6x-2
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Answer:
A. 2x + 10
Step-by-step explanation:
Find the measure of minor arc QN.
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QN = 142°
A semicircle will always be equal to 180°, and we have two measures for semicircle QO.
[tex]QO = 180\\MN = 90\\NO = 38\\\\QM = QO - MN - NO\\QM = 180 - 90 - 38\\QM = 52\\\\QN = QM + MN\\QN = 52 + 90\\QN = 142\\[/tex]
.........................................
Answers
Answer:
Whats wrong??
Step-by-step explanation:
Answer:
you ok ?
Step-by-step explanation:
I dont know what the ......... means
perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm
Answers
Answer:
Perimeter of rectangle = 32
Step-by-step explanation:
32 = 2(L+B)
L+B=16
B=16-L
B=16–9
B=7
AREA = L*B
AREA = 63sq.cm
Which is a rational function?
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Answer:
C is a rational function
4^2•2^-3 =
2
1/2
-128
Answers
2^-3 = 0.125
16 • 0.125 = 2
The answer is 2.
Simplify the expression (2x- 9Xx + 6).
Answers
Answer:
2 2 + 3 − 5 4
Step-by-step explanation:
Please help me with this i need a real answer not tjose file things
Answers
Answer:
c
Step-by-step explanation:
Please help me with this questions
Answers
In a cookie jar, 1/4 of the cookies are choclate chip, and 1/2 of the rest are peanut butter. What fraction of all the cookies is peanut butter? ( If you answer this show your work)
Answers
Answer:
4
Step-by-step explanation:
Explanation: the rest of the cookies that are not chocolate chip is 3/4 and half of that is 3/8.
Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that cynthia can make to check her answer?
Answers
In desperate need
Answer :
Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(82)
(-16-17)
(-1,-8)
(-40,-34)
Answers
Sorry I did it wrong.
Answer:
(0, -5) and (-16, -17)
Step-by-step explanation:
You can plug in the points into the function to test them.
(0, -5)
3(0) - 4(-5) - 8 = 12
20 - 8 = 12
12 = 12
(8, 2)
3(8) - 4(2) - 8 = 12
24 - 8 - 8 = 12
8 ≠ 12
(-16, -17)
3(-16) - 4(-17) - 8 = 12
-48 + 68 - 8 = 12
12 = 12
3(-1) - 4(-8) - 8 = 12
-3 + 32 - 8 = 12
21 ≠ 12
3(-40) - 4(-34) - 8 = 12
-120 + 136 - 8 = 12
8 ≠ 12
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
45 cm, 37cm, 35cm, 24cm
Answers
Answer:
5,250 cm²
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)L
Where ,
b = 24 cm
h = 35 cm
s1 = 37 cm
s2 = 37 cm
s3 = 24 cm
L = 45 cm
Plug in the values
Surface area = 24*35 + (37 + 37 + 24)45
= 840 + 4,410
= 5,250 cm²