Answers
Answer:
18
Step-by-step explanation:
Intersecting Secant-Tangent Theorem
The square of the tangent is equal to the product of the external secant segment and the secant.
Given:
tangent = AE = 12external secant segment = EC = 8secant = ED = 18 + xAE² = EC · ED
⇒ 12² = 8(18 + x)
⇒ 144 = 144 + 8x
⇒ 0 = 8x
⇒ x = 0
ED = 18 + x
= 18 + 0
= 18
Related Questions
The tile pattern below is made up of trapezoids and rhombuses. What is the area of each figure in the pattern?
The trapezoids have a height of 2 inches and bases that measure 2 inches and 3 inches.
The rhombuses have diagonals that measure 1 inch and 4 inches.
Answers
The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively
How to find the area of a trapezoid and rhombus?The given pattern consists of rhombus and trapezoids
The formula for calculating the area of rhombus is expressed as:
A = pq/2
Area of trapezoid = 0.5(a+b)h
Given the following
height = 2in
a = 2in
b = 3in
Ara of rhombus = 1(4)/2 = 2 square inches
Area of the trapezoid = 0.5(2+3) * 2
Area of the trapezoid = 5 square inches
Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively
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find the missing side.
1) 2304
2) 3600
3) 1296
4) 36
Answers
Answer:
option 4
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
BC² + AC² = AB² , that is
a² + 48² = 60²
a² + 2304 = 3600 ( subtract 2304 from both sides )
a² = 1296 ( take square root of both sides )
a = [tex]\sqrt{1296}[/tex] = 36
Answer:
[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]
Is the quotient of 3 and 1/4 greater than or less than 3?
Answers
Answer:
Greater than
Step-by-step explanation:
The quotient of 3 and 1/4 would be 3/(1/4).
You could then multiply by the inverse of 1/4 to simplify the expression. This would give you [tex]3*\frac{4}{1}[/tex] or just 3 times 4. 3 * 4 = 12.
Since 12 is greater than 3, the quotient of 4 and 1/4 is greater than 3.
translation: 6 units right and 2 units down
D(-5, 1), E(-5,2), F(-1, 3), G(-1, -1)
Answers
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Hope this helps!
Answer:
See below.
Step-by-step explanation:
A translation of 6 units right is 6 added to the x-coordinate.
A translation of 2 units down is a 2 subtracted from the y-coordinate.
Are D through G answer choices, or are you supposed to do the above translation to those 4 points?
A wheel with the 31 in. diameter has 651 rotations. Reflect on how different wheel sizes would change your answer. What would happen to the number of rotations if the circumference of the wheels were increased by 20%? For the wheel with 31 in. diameter, multiply its circumference 97.4 in. by 1.2 =________.
Answers
The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %.
How to compare rotations between two wheels of different diameter
The quantity of rotations (n), no unit, done by a wheel is equal by total traveled distance (s), in inches, divided by its circumference (p), in inches:
[tex]n = \frac{s}{p}[/tex]
[tex]n = \frac{s}{\pi\cdot D}[/tex] (1)
Where D is the diameter of the wheel, in inches.
If we know that n = 651 and D = 31 in, then the travelled distance is:
s = (651) · π · (31 in) (2)
s ≈ 63400.481 in
The travelled distance of the 31-in diameter wheel with 651 rotations is approximately 63400.481 inches.
By (2) we understand that the travelled distance is directly proportional to the diameter. Hence, if the diameter of the wheel is increased by 20 %, then we must multiply the diameter by 1.2 and divide the travelled distance by this result:
s ≈ 1.2 · π · (31 in)
s ≈ 116.867 in
[tex]n = \frac{63400.481\,in}{116.867\,in}[/tex]
[tex]n = 542.501[/tex]
The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %. [tex]\blacksquare[/tex]
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The diameter of a circle is 8 inches. What is the and
with area 24 square inches?
Answers
8 inches
to find:the area
solution:If the diameter is 8 inches, the radius is 4 inches.
a= Pi* r^2
= 16 Pi square inches.
pi= 3.14159 》 16pi
= 15.2655 sq inch
Consider the system of equations.
x − 4y = 11,
3x + 5y = −1
Which number should you multiply the first equation by to eliminate the x-variable term?
1
–1
3
–3
Answers
Answer:
-3
Step-by-step explanation:
since if you multiply by -3 the sum of both equations will not have an x variable.
Answer:
D
Step-by-step explanation:
The center of the circle is located at (-4,-3). What is the area? Use 3.14 as an approximation for pi.
Answers
Answer:
78.5 units²
Step-by-step explanation:
First, we need to plot the center point of the circle. (Shown in image). Once we plotted the center point, we need to count how many units is the radius away from the boundary.
Note: I have marked each unit by a "red point". Simply, count the number of "red points" to determine the radius.
⇒ Radius according to graph: 5 unitsWe can substitute the radius in the "area of circle" formula to determine the area. Keep in mind that pie is represented as 3.14.
⇒ Area of circle = πr²⇒ Area of circle = π(5)²Now, let's evaluate the area by simplifying the expression. Keep in mind that pie is represented as 3.14.
⇒ Area of circle = π × (5)²⇒ Area of circle = π × 5 × 5⇒ Area of circle = π × 25⇒ Area of circle ≈ 3.14 × 25 [π = 3.14]⇒ Area of circle ≈ 78.5 units²7. Mattie ran across a circular part. The
circumference of the park is 92.31 feet.
How far did Mattie run?
Answers
Answer:
29.39
Step-by-step explanation:
So, the formula for circumference is 2(3.14)r.
If the question is looking for the diameter,
You don't have to include the r, you can just do d(3.14)=92.31
You can divide 92.31 by 3.14 and you get 29.39
At his schools book fair, Henry brings $10.00. He purchases a book for $8.50, plus a 6% sales tax. How much money in change will Henry receive?
Answers
0.51 + 8.50 = 9.01
10.00 - 9.01 = 99
He will receive 99 cents in change.
Answer:
$0.99 in change
Explanation:
To apply the sales tax, you have to multiply:
8.50*1.06=9.01
This means that, with tax, the book will cost $9.01. If he gave them $10, he would get 99 cents back because 10-9.01 is 0.99.
PLEASE ANSWER THIS QUICKLY!
Consider the circle shown.
1. What is the length of the minor arc DE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI).
2. What is the length of the major arc DGE? (EXPRESS YOUR ANSWER AS A SIMPLIFIED FRACTION IN TERMS OF PI).
Answers
Answer:
minor arc DE: (23/9)π
Major arc DGE:(49/9)π
Step-by-step explanation:
This is a simple problem.
First solve the circumference of the circle: 2π (4).
then use the length formula
L=(x*c)/360
and then plug in, so first we use 115 as x(which is degrees) to find de
so
L = (115* 2π (4))/360
and you will get (23/9)π
To get the major arc you have to get the outside angle, so 360-115, and you do the same thing but with 245 as x.
Hope this helps and im correct!
a. What is 50% of R1,00?
Answers
Answer:
1000÷50%=2000
Step-by-step explanation:
hope it helps
The required simplified value of R is 2000, as of the given percentage.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the required value be R,
50% of R = 100
R = 100 / 50%
R = 100 / 0.50
R = 2000
Thus, the required value of R is given as 2000.
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Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM measures 25 ft. What is the area of Felipe’s bedroom floor? Show all work and round your answer to the nearest tenth.
will mark brainlist
Answers
Answer: 312.3 square feet
Step-by-step explanation:
The area of Felipe’s bedroom floor is 312.3 square ft.
What is Pythagoras theorem:If we have a right-angled triangle then we can write the following equation,
(Hypotenuse)² = (Base)² + (Height)²
Properties of a rectangle:In the given figure attached below the properties are as follows:
ML = JKKL = JMarea = (Base × Width) = KL × MLIn the given question and in the figure attached below the given values are:
ML = 18 ft.KM = 25 ft.By applying Pythagoras theorem in ΔKML we get,
(KM)² = (KL)² + (ML)²
Putting all the values in the above equation,
(25)² = (KL)² + (18)²
By rearranging,
(KL)² = (25)² - (18)²
Applying the formula, a² - b² = (a + b)(a - b) we get,
(KL)² = (25 + 18)(25 - 18)
(KL)² = 43 × 7
KL = √301 ft.
Now the area is,
area = KL × ML
= (√301 × 18) square ft.
= 312.3 square ft.
Therefore, the area of Felipe’s bedroom floor is 312.3 square ft.
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Given circle E with diameter \overline{CD} CD and radius \overline{EA} EA . \overline{AB} AB is tangent to E at A. If EA=18 and DB=12, solve for AB. Round your answer to the nearest tenth if necessary.
Answers
The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0
What is the tangent of a circle?A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.
From the given information:
Line |CD| = Diameter Line |EA| = radius = 18Line |DB| = 12Then, we can infer that line EA = DE since they are both (radii of the circle.)
Line |DE| = |EA| = 18By using the formula for Pythagoras theorem, we can find line |EA|.
hyp² = opp² + adj²where;
Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30Line |AB| = opposite (x) = ???Line |EA| = adjacent = 18Thus;
30² = x² + 18²
900 = x² + 324
-x² = -900 + 324
x = √576
x = 24.0
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Ramona is counting the posts between mile makers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced, how many feet apart are they? (1 mile = 5,280 feet)
Answers
Answer:
160feet
Step-by-step explanation:
5280 divided by the number of posts
count in mile= 33 posts.
to find:the distance between the posts.
solution:1 mile= 5280ft
distance= 5280/33
=160ft
so the distance between the posts are 160ft.
What is the simplified form of each expression?
-(10) ^-1
A) -1/10
B)- 1/-1^10
C) 1/10
D)10
1/c^-5
A) c^5
B) 5c
C) -c^5
D) - 5/c
What is the value of y^-5/x^-3 for x = 2 and y = -4?
A) 10/3
B) 128
C) - 1/128
D) -128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8?
A) Yes; the number is written in scientific notation
B) No; the first factor is not a number between one and ten
C) No; it is not written as a number times a power of ten
What is the number written in standard notation 5.71 x 10^-3?
A) -171.3
B) 0.0571
C) 0.000571
D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter?
A) 1.9 x 10^-4, 1.7 x 10^-4, 1.4 x 10^-3, 1.2 x 10^-5
B) 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
C) 1.9 x 10^-4, 1.7 x 10^-4, 1.2 x 10^-5, 1.4 x 10^-3
D) 1.2 x 10^-5, 1.4 x 10^-3, 1.9 x 10^-4, 1.7 x 10^-4
What is the expression written using each base only once (-4) ^-6 (-4) ^7?
A) 4^13
B) -4
C) 13
D) 1
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4)
A) 1.1 x 10^3
B) 2.4 x 10^3
C) 1.1 x 10^-23
D) 2.4 x 10^-23
What is the simplified form of the expression (m^7) ^2?
A) 2m^14
B) m^49
C) m^9
D) m^14
What is the simplified form of the expression t^8 (t^10) ^0?
A) t^-80
B) t^80
C) t^8
D) t^-8
What is the simplified form of the expression (3q^2) ^4?
A) 3q^16
B) 81q^6
C) 3q^8
D) 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6?
A) 9x^8 y^12
B) 3x^8 y^12
C) 2x^3 y^12
D) 9x^7 y^9
Answers
Answer:
-(10)^-1 = A. -1/10
y^-5/x^-3 for x = 2 and y = -4. C. -1/128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8? A. Yes; the number is written in scientific notation
What is the number written in standard notation 5.71 x 10^-3? D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter? B. 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
What is the expression written using each base only once (-4) ^-6 (-4) ^7? B. -4
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4) B. 2.4 x 10^3
What is the simplified form of the expression (m^7) ^2? D. m^14
What is the simplified form of the expression t^8 (t^10) ^0? C. t^8
What is the simplified form of the expression (3q^2) ^4?
D. 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6? A. 9x^8 y^12
solve 650(1+.045) with an exponent of 3
Answers
Answer:
741.75798\dots
Step-by-step explanation:
\mathrm{Add\:the\:numbers:}\:1+0.045=1.045
1.045^3=1.141166125
\mathrm{Multiply\:the\:numbers:}\:650\cdot \:1.141166125=741.75798\dots
35 Points Mark Brainliest Help
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's write the equation of line in slope point form ~
[tex]\qquad \sf \dashrightarrow \:y - y1 = m(x - x1)[/tex]
[tex]\qquad \sf \dashrightarrow \:y -2 = 3(x -1)[/tex]
[tex]\qquad \sf \dashrightarrow \:y -2 = 3x - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 3x -1[/tex]
Now, let's use this equation of line to plot two points ~
when x = 0, y = (3 × 0) - 1 = - 1 when x = -1, y = (3 × -1) -1 = -4Now, plot these points on graph ~
(0 , -1) and (-1, -4)=
In the accompanying diagram of isosceles triangle ABC,
AB = BC, mZBAC = x, and mLABC = x + 30.
What is the value of x?
B
(x + 30)
A
The value of x is
The measure of the vertex angle is
degrees.
Answers
Answer:
x = 50
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
Since triangle ABC is an isosceles triangle the measure of <c is also = x
x + x + x + 30 = 180 add like terms
3x + 30 = 180 subtract 30 from both sides
3x = 150 divide both sides by 3
x = 50
The lengths of two sides of a triangle are 4 inches and 7 inches. What is a possible length, in inches, of the third side?
Answers
Answer:
well if im wrong then sorry but i think its 11 !!
Step-by-step explanation:
The possible length of the third side should be greater than 11.
What is triangle?A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.
Given that the lengths of two sides of a triangle are 4 inches and 7 inches.
We need to find the possible length of the third side,
So, according to the triangle inequality theorem,
For any given triangle, the sum of two sides of a triangle is always greater than the third side.
So, the sum of two sides = 4 + 7 = 11
Hence the possible length of the third side should be greater than 11.
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1+1=? My teacher really wants to test my knowledge, so someone confirm this question for me
Answers
Answer:
This is a pretty tricky question but if I'm correct it might be 2
I need Help Please, I will give brainliest!
Answers
Answer: You do I-ready welp I can help you
Step-by-step explanation:
I think it is 1 whole
Which phrase describes the linear relationship between the values of x and y shown in the table? A. y is 4 more than x B. y is 6 more than x C. y is 3 times x D. x is 3 times y
Answers
The linear relationship on the table has a constant slope
The linear relationship is (c) y is 3 times x
How to determine the linear relationship?The table of values is given as:
x l y
3 l 9
0 l 0
For both x and y values on the table, we have:
y = 3x
i.e.
3 * 3 = 9 and 3 * 0 = 0
This means that the linear relationship is (c) y is 3 times x
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what is the range of the data set 95,86,78,80,91
Answers
Answer:
17
Step-by-step explanation:
Range = Highest Value - Smallest Value
95 - 78 = 17
Answer:
17
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range.
95 - 78 = 17
Please help
Select all of the non-real complex numbers in the given table.
Answers
Answer:
All the expressions that have a negative in the radical
(Boxes 2, 3 5, and 6)
Step-by-step explanation:
You can't take the square root of a negative number. When you square a number, the product will always be positive.
Hope this helps!
30-60-90 triangles and 45-45-90 triangles
What are the ratios that correspond?
My math teacher says its x, √3x, 2x and x, x, √2x. But I’ve seen others do it x, x √3, 2x and x, x, x √2
Which is correct? Thank you
Answers
My math teacher did it the same way so I would go with your teacher's way
Give me full working and explanation and I give you stars and mark you as brainliest.
Answers
700-505.75=$194.25
for the second question, all we have to do is multiply the previous answer by 3 since there are 3 times the amount of watches being sold.
194.25x3=$582.75
LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.
Answers
Answer: 7 cm
Step-by-step explanation:
Pedro was working on a report on swiss and austrian psychiatrists. he decided to find a 90 percent confidence interval for the difference in mean age at the time of significant psychiatric discoveries for swiss versus austrian psychiatrists. he found the ages at the time of psychological discovery of all the members of both groups and found the 90 percent confidence interval based on a t-distribution using a calculator. the procedure he used is not appropriate in this context because
a
the sample sizes for the two groups are not equal.
b
the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
c
age at the time of psychological discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
d
age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
e
age at the time of psychological discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid
Answers
Answer:
B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
Step-by-step explanation:
Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.
Therefore, option D is the correct answer.
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A committee is to consist of two members. If there are seven people available to serve on the committee, how many different committees can be formed?
Answers
Though there are seven people, it would only be 3 full committees. They would either find an eighth person or have a group of 3 with one of the committees.
Hope this helps!
