Answers
Answer:
FD = 25.94
Step-by-step explanation:
13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)
13x - 4x = 11 + 16
9x = 27
x = 3
substituting x in 4x + 11,
4(3) + 11
12 + 11
23
ΔFED is a right triangle,
FD² = FE² + DE²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = 25.94
Answer:
FD= +-25.94
Step-by-step explanation:
EF=CF=r(radius)=12
we know,
FD^2=EF^2+ED^2 ......(1)
and
FD^2=CF^2+CD^2 ......(2)
We Know,
area of triangle, a= 1/2xbasexHeight
a=1/2xEFxED .......(3)
and
a=1/2xCFxCD .....(4)
from equation 3 and 4
1/2xEFxED=1/2xCFxCD
=> 1/2x12xED=1/2x12xCD
=>ED=CD
=>13x-16=4x+11
13x-4x=16+11
9x=27
x=3
so
FD^2=EF^2+(ED)^2
FD^2=(12)^2+(4x3+11)^2
=>FD^2=144+529
=>FD^2=673
FD=+-25.94
Related Questions
1. The circumference of a circle is 16p centimeters.
(a) Find the diameter of the circle.
(b) Find the area of the circle.
Answers
Answer: Diameter: 8
Area: 201.1
Step-by-step explanation:
Diameter: Use the formula for the area of a circle:
Use the formula for the area of a circle:
A=πr2
Here, the area is 16π:
16π=πr^2
Divide both sides by π:
16=r^2
Take the square root of both sides: √16=√r^2
4=r
Since the radius of the circle is 4, the diameter is twice that:
d=4×2=8
Area:
Formula:
A = π r^2
A= Area R= Radius
Add Radius
A= π 8^2
Solve:
Simplify π⋅8^2
Exact Form:
A=64π
Decimal Form:
A=201.06192982
pls help i have 5 minutes til it’s due
Answers
Answer:
x=115
Step-by-step explanation:
Straight angle = 180 degrees...
65 is accounted for so...
180-65=115
115 degrees is your final answer :)
Answer:
115
Step-by-step explanation:
x° = 180° - 65°
(Linear pair angles)
x° = 115°
x = 115
Which shoe size is the mode?
Answers
Answer:
6
Step-by-step explanation:
pleaseeee help I will mark you brainiest!!!!!!
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Answer:
I think it is -2,a+c, than b
Find Sin L=
Will mark as brainliest
Answers
Answer:
[tex]\Huge\boxed{\frac{3}{5}}[/tex]
Step-by-step explanation:
The trigonometric ratio for sine is
sin = opposite over hypotenuse
the opposite side length of L is 6 and the hypotenuse is 10
so sin L = 6 over 10
then we simplify
6/2 = 3
10/2=5
the answer would be 3/5
Find the area of the shape shown below.
Answers
Answer: 4, 800
Step-by-step explanation:
answer pls ty ill give brainliest
Answers
Answer:
2.5
Step-by-step explanation:
Answer:
2.5 im not sure ThanksStep-by-step explanation:
Im not sure
For the following right triangle, find the side length x.
Answers
Answer:
17Step-by-step explanation:
We can use the pythogorean theorem which is,
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Where c = Hypotenuse
b and a = Legs of the triangle
We have to find the hypotenuse. So let's keep the value of it as x.
we can form an algebraic equation to solve for x
[tex] {15}^{2} + {8}^{2} = {x}^{2} \\ 225 + 64 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]
7. In the figure, AABC-AXYZ. What is the perimeter of AABC? Show your work.
Answers
7) In Emily's bead collection, 1/2 of her beads are red and 1/4 of her beads
are green. What fraction of her beads are NOT red?
Answers
hope this helps!!
Yana needs at least $31.50 for art supplies. He earns $3.50 per day as a dog walker. Which graph represents the number of days Yana must work to earn enough money to buy the art supplies? A. 84456 B. 84455 C. 84454 D. 84453
Answers
Answer:
9 days
Step-by-step explanation:
31.50÷3.50 is 9 and 9×3.50 is 31.50
2 trifles cost 9 pound
How much will 6 trifles cost?
Answers
2 = 9
9 ÷ 2 = 4.5
4.5 x 6 = 27
It will cost 27 pounds.
Hope this helps; have a great day!
. Mr. View is 8 years older than Ms. Sun. In 7 years, the sum of their ages will be 110. How old are they now?
Answers
When the sum of a number and 14 is
divided by 3, the result is 4.
Answers
Answer:
it is 4.6 sorry girl
Step-by-step explanation:
Answer:
Step-by-step explanation:
4.6=4 3/5=23/5
A sample with a mean of M = 8 has EX = 56. How many scores are in the sample?
The number of scores is n =
Answers
Answer:
[tex]n = 7[/tex]
Step-by-step explanation:
Given
[tex]\bar x = 8[/tex] --- the mean
[tex]\sum x = 56[/tex] --- sum of scores
Required
The number of scores (n)
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Make n the subject
[tex]n = \frac{\sum x}{\bar x}[/tex]
[tex]n = \frac{56}{8}[/tex]
[tex]n = 7[/tex]
What is the value of g(-4)
I <-4
gir) =
+32 + 11, 1 > -4
A.
..1
OB
15
OCH 27
OD.
Answers
Answer:
e a d
Step-by-step explanation:
If LW = 5x + 2 and LJ = 11x + 2 in the parallelogram below. Find LW.
Answers
Answer:
A. 12
Step-by-step explanation:
Recall: one of the properties of a parallelogram is that the diagonals bisect each other. This means that:
LJ = 2(LW)
11x + 2 = 2(5x + 2)
11x + 2 = 10x + 4
11x + 2 - 2 = 10x + 4 - 2
11x = 10x + 2
11x - 10x = 10x + 2 - 10x
x = 2
✅LW = 5x + 2
Plug in the value of x
LW = 5(2) + 2
LW = 10 + 2 = 12
what is 1/2 X (6 X 4)+3 + 2
Answers
Answer: 17
Step-by-step explanation:
Answer:
your answer is 17
Step-by-step explanation:
pls give brainliest!
Have a great day!
Can someone help please
Answers
What is the difference of (5 + 3i) and (2 + 9i)?
A. 7 + 12i
B. 3 + 6i
C. 3 − 6i
D. 7 + 6i
Answers
The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.
What is the difference of the two complex numbers (5 + 3i) and (2 + 9i)?It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.
Since the numbers given are; (5 + 3i) and (2 + 9i).
The difference can be mathematically as follows;
( 5 + 3i ) - ( 2 + 9i )
By the Distributive property; we have;
5 + 3i - 2 - 9i
Collect like terms so that we have;
= 5 - 2 + 3i - 9i
= 3 - 6i
On this note, the difference between the two complex numbers is; 3 - 6i.
Read more on subtraction of complex numbers;
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This is number three Nd I neeed help with this I can help you with anything
Answers
Answer:
a. False
b. False
c. True
d. True
e. True
18)
Find the area of a regular pentagon with an apothem of 2.75 cm and a side length of 4 cm, (round to the nearest whole number)
A)
14 cm
B)
28 cm
C)
56 cm
D)
112 cm?
Answers
Answer:
B) 28 cm^2
Step-by-step explanation:
First, find the perimeter 5*4=20
A= ½ 2.75(20) = 27.5
(round to the nearest whole number)
Got it right on the test
3. A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG who had participated in leadership positions while a student. She discovered that it has taken an average of 4.97 years for these student leader graduates to finish their degrees, with a standard deviation of 1.23. The average for the entire student body is 4.56 years. Is the difference between student leaders and the entire student population statistically significant at the alpha
Answers
Answer:
not statistically significant at ∝ = 0.05
Step-by-step explanation:
Sample size( n ) = 61
Average for student leader graduates to finish degree ( x') = 4.97 years
std = 1.23
Average for student body = 4.56 years
Determine if the difference between the student leaders and the entire student population is statistically significant at alpha
H0( null hypothesis ) : u = 4.56
Ha : u ≠ 4.56
using test statistic
test statistic ; t = ( x' - u ) / std√ n
= ( 4.97 - 4.56 ) / 1.23 √ 61
= 2.60
let ∝ = 0.05 , critical value = -2.60 + 2.60
Hence we wont fail to accept H0
This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05
Please help grades close today
Answers
Answer:
Step-by-step explanation:
17. 1 foot=12 inches
So subtract 12 from 28
28-12
=16
Lena's puppy will grow 16 inches more.
18. The kittens can be
3.4, 3.3, 3.2, 3.1, 3, etc. ( units in ounces)
There are a lot of combinations so you have to find out ALL the possible combined values. ( I don't think I can fit all of them on here you will probaly have to do some work for it)
Hopefully this helps!!!
☁️ Answer ☁️
17. The puppy will grow 16 inches
One foot equals 12 inches. Lena's puppy will grow to be at most 28 inches. 28-12=16 inches.
18. 24.5
the possible values of the combined weights of the kittens is not more than 24.5 ounces. Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces
Use any strategy to solve 3,600 divided by 9. Upload your work.
Answers
Answer:
400
Step-by-step explanation:
3600/9=400
36/9=4
add the zeros back in after
Answer:
400
Step-by-step explanation:
I hope this helps you
Is sin( - 7) positive or negative? (Why?)
Answers
Which parametric equations represent y = x + 2? Check all that apply.
Answers
Answer:
The correct choices are the first, second, and fifth options.
Step-by-step explanation:
Edge 2021
Answer:
a,b and e
Step-by-step explanation:
on edg 2021
23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.
HELP!
Answers
Answer:
the IQR is 71
Step-by-step explanation:
the Xl is 99 and the Xu is 170. Xu-Xl=71
giving brainliest!!!
Answers
Answer:
133 square centimeters
Step-by-step explanation:
Answer:
Surface A≈146.25 square centimeters
Step-by-step explanation:
Which of the following is not true about the boundary line in the graph of a linear inequality in two variables?
Answers
Answer:
The correct answer is D
Step-by-step explanation:
Boundary points are NOT always solutions
The statement not true about the boundary line in the graph of a linear inequality in two variables is he point on boundary line are always solutions to the linear inequality
What does boundary line in graph of a linear inequality in two variable represent ?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.
According to the question
Boundary line in graph of a linear inequality in two variable represents :The boundary line is dashed or strict for > and < The boundary line is solid or non strict for ≤ and ≥. boundary line divides the coordinate plane into two halves boundary line where one half represents the solutions of the inequalityHence, The statement not true about the boundary line in the graph of a linear inequality in two variables is he point on boundary line are always solutions to the linear inequality.
To know more about boundary line in graph of a linear inequality in two variable represent here:
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