Answers
Answer:
CD = 16
Step-by-step explanation:
We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE
We are given BE, and we found the length of AB, so we can substitute and solve for AE:
AB = AE + BE
17 = AE + 2
AE = 15
Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.
Now, we can use the pythagorean theorem to find the length of CE.
a^2 + b^2 = c^2
We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:
CE^2 + AE^2 = AC^2
CE^2 + 15^2 = 17^2
CE^2 + 225 = 289
CE^2 = 64
CE = 8
Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.
Again, using segment addition postulate, we can say:
CE + DE = CD
CD = 8 + 8
CD = 16
Related Questions
Estimate the perimeter and the area of the shaded figure to the nearest whole number in square units.
Answers
Answer:
perimeter= 8+8=16 units
area = 16+8=24 sq units
5x+ 10y =300
what is x and y?
Answers
Answer:
5x + 10y + -10y = 300 + -10y
Step-by-step explanation:
I need help ASAP please
Answers
Answer:
True, false, true
Step-by-step explanation:
Because the minimum value of f(x) is -1, and the minimum value of g(x) us -25. It comes only once.
Roots are the points on the x - axis or when the x is 0. The roots of f(x) are positive.
f(0) means when x is 0, so f(0) = 3 or 5, and g(0) = -24
Reuben and Jim made the most points in the basketball game. Reuben made twelve points. Jim made twice as many points as Reuben. How many points did Jim make?
A. 36
B. 24
c. 18
D. 12
E. 6
Answers
Answer:24
Step-by-step explanation:
12x2=24
What is the quadratic equation if the zeroes of the function are -2 and 6?
a) 2x^2+4x-12=0
b) x^2-4x-12=0
c) x^2+4x-12=0
d) 2x^2-4x-12=0
Answers
Answer:
B.
Step-by-step explanation:
x = -2 or x = 6
(x + 2) or (x - 6)
(x+2)(x-6)
X² - 4x - 12 = 0
!!!!________________
Answers
Answer:
B
Step-by-step explanation:
The answer is B as it is the only one in which the shape at the bottom remains the cross section shape for the object. For example in a sphere the cross section near the bottom wouldn't be the same as the one at the middle. The only shape that does have the same cross section all the time is the cuboid so it is the answer
Find the area of the composite figure 7m 5m 4m 3m
Answers
Answer:
19 m
Step-by-step explanation:
Hope it helps. Just add them together
Pleaseeee helppp mehhhhh!!
Answers
What is the domain of f(x) = 5- 7?
O x | x>-7)
O {x | X <-7}
0 {x|x>0}
O x | x is a real number}
Answers
Answer:
c
Step-by-step explanation:
hi
The domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.
What is domain?The domain is the set of all the input values given to a function.
Given is an expression f(x) = 5x - 7, we need to find the domain,
We know that,
The domain of any expression is set to all the real numbers, except where the expression is undefined.
Therefore, the domain is all real numbers.
Also,
The graph of the function will be a straight line without discontinuities.
Hence the domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.
Learn more about domain click;
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Allison drew 3 triangles, 5 hexagons, and 4 octagons.
How many line segments did she draw?
A. 81
B. 72
C. 71
D. 68
Answers
Answer:
D 68
Step-by-step explanation:
I think that's the answer
Answer:
71
Step-by-step explanation:
3×3 = 9
5×6 = 30
4 × 8 = 32
30+32+9= 71
Jane has a triangular plot of land. She only received the length of two sides of the land and the angles at which each set of lines meet. How can Jane find the length of the missing side of her land?
Answers
Answer:
i dont know
Step-by-step explanation:
i dont know
What is the y-intercept of the graph of x=9y-5
Answers
Answer:
(0,5/9)
Step-by-step explanation:
i need help asap!! i would really appreciate this
A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.
Answers
Answer:
23
Step-by-step explanation:
Lyla is playing a game in math class where the students describe a number they are thinking of and the class uses clues to determine which type of number it is. Lyla tells her class that she is thinking of a positive number with infinitely many nonrepeating digits after the decimal point. Which type of number is Lyla thinking of?Single choice.
(1 Point)
1. whole
2. integer
3. rational
4. irrational
Answers
Answer:
1 or 3 sorry if wrong
Step-by-step explanation:
enter the coordinates of the point on the unit circle at the given angle 180 degrees
Answers
The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
What is a unit circle?A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.
It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.
Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:
(1, 0), (0, 1), (-1, 0), and (0, -1)
This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.
From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
Find out more information about unit circle here
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Evaluate f(-2): SHOW ALL WORK
f(x) = 3/2x -4?
Answers
Answer:
-7
Step-by-step explanation:
f(-2) = 3/2(-2) - 4
f(-2) = -3 - 4
f(-2) = -7
Answer:
f(-2) = -7
Step-by-step explanation:
f(-2) means that for every x given in the equation, -2 would be substituted in it's place. Therefore;
[tex]f(-2)=\frac{3}{2} (-2) - 4[/tex]
f(-2) = -3 - 4
f(-2) = -7
Hope this helps!
I HAVE LIKE 2 MORE QUESTIONS, HELP ME PLZ!
Answers
Given:
Base length of triangle = 10 units
Height of triangle = [tex]\sqrt{44}[/tex] units
Length of hypotenuse of triangle = 12 units
To find:
Exact value of Cos A
Steps:
The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.
So,
Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos A = [tex]\frac{10}{12}[/tex]
Cos A = 0.833
Therefore, the exact value of cos A is 0.833.
Happy to help :)
If u need any help, feel free to ask
What generalization can you make about these numbers?
2, 5, 11, 19, 29
A. They are all even.
B. They are all evenly divisible by 2.
C. They are all prime.
D. They are all odd.
Answers
How does the standard deviation and mean change when you remove the greatest value from the data set?
Help me
Answers
Answer: the standard deviation decreases
Step-by-step explanation:
please help me with this problem
Answers
Find the slope of the line and that passes through (7, 2) and (-7, 48)
Answers
Answer:
-23/7
Step-by-step explanation:
y2 - y1 / x2 - x1
48 - 2 / -7 - 7
46 / -14
= -23/7
GIVING 11 POINTS PLEASE HELP ME
Answers
Answer:
6 packets
Step-by-step explanation:
3 x 8 = 24
24 / 4 =
6
24 divided by 4 = 6 packets
I need help asap, I will report any links or files from bit. ly
Jared flicked the arrow on his spinner 4 times, and the arrow landed on the green each time. if Jared spins the arrow a fifth time, what is the theoretical probability that it will land on green?
OA. 3/8
OB. 1/8
OC. 4/5
OD. 1/5
Answers
Answer:
I think the answer for that question is c
Find the measure of the indicated angle. Round to the nearest tenth.
14
3
00
9
CC
Answers
Answer:
picture??
Step-by-step explanation:
Answer:
9 is the answer of this question
IF SOMEONE WILL HELP NOW THIS WILL BE A MIRACLEEEEE
Answers
Answer: x < -5
Move the constant to the right, calculate, and divide both sides.
Which angles are vertical angles?
Answers
Answer:
Step-by-step explanation:
BCF and DCA
BCF and DCA
Just a bit of context : Vertical angles are angles that are opposite to each other, where the two lines cross.
A cylindrical barrel has a height of 5 feet and a diameter of 4 feet. What is the approximate volume of the barrel?
Answers
Answer:
62.8 ft³
Step-by-step explanation:
Volume = π · r² · h
V = 3.14 · 2² · 5
V = 3.14 · 4 · 5
V = 62.8
Please answer quickly. I need help bad
The equation y-3=-2(x+1) represents a line. Which best describes the line?
A. slope: 4, passes through (1, -2)
B. slope: -2, passes through (-1,3)
C. slope 2, passes through (-3, 1)
D. slope 4. passes through (2, -1)
Answers
Answer:
B
Step-by-step explanation:
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?
A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2
Answers
Answer:
b
Step-by-step explanation:
0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2
assume f is a one to one function of f(x)= 4-6x find f^-1(-32)
Answers
Answer:
f^-1(-32)=6
Step-by-step explanation:
Find the inverse of the function f(x)=4-6x:
f(x)=4-6x
y=4-6x
x=4-6y
x-4=-6y
(x-4)/-6=y
-1/6x+2/3=y
y=-1/6x+2/3
f^-1(x)=-1/6x+2/3
Plug in f^-1(-32) for f^-1(x) and simplify:
f^-1(-32)=-1/6(-32)+2/3
f^-1(-32)=16/3+2/3
f^-1(-32)=18/3
f^-1(-32)=6