Answer:
AB=8cm⇒AE=4cmCD=6m⇒CF=3cmIn△AEDAE=4cm,AO=5cmOE=(AO)2−(AE)2=52−42=3cmIn△OFCCF=3cm,CO=5cmOF=OC2−CF2=52−32=4cm
∴ Distance between the chords=4cm−3cm=1cm
Answer:
I) 1 cm
II) 7 cm
Step-by-step explanation:
We are given a circle with a radius of 5 cm. AB and CD are two parallel chords of length 8cm and 6cm respectively. And we want to calculate the length of the chords if they are:
I) On the same side of the center.
Please refer to the first figure.
In it, O is the center, AB measures 8 and CD measures 6.
To find the distance between the two chords, we essentially need to find KJ, which is OJ - OK.
We will construct a segment from O to K and from K to J. This is perpendicular to the chords. Therefore, by the Perpendicular Bisector Theorem, it also bisects the chords.
ΔAOK is a right triangle. Therefore:
[tex]AO^2=OK^2+KA^2[/tex]
AO is simply the radius.
KA is half the length of AB since OK perpendicularly bisects the chord.
Therefore:
[tex](5)^2=OK^2+(4)^2[/tex]
So:
[tex]25=OK^2+16\Rightarrow OK^2=9\Rightarrow OK=3[/tex]
Likewise, ΔCOJ is also a right triangle. Therefore:
[tex]CO^2=OJ^2+JC^2[/tex]
CO is the radius, and JC will be half the length of CD. Thus:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ^2=16\Rightarrow OJ=4[/tex]
Therefore, the distance KJ between the two chords are:
[tex]KJ= OJ-OK=4-3=1\text{ cm}[/tex]
II) On opposite sides of the center.
Please refer to the second figure.
Again, O is the center, AB measures 8, and CD measures 6.
Likewise, segments OK and OJ are perpendicular bisectors of AB and CD, respectively.
And to find the distance, we essentially need to find JK or OJ + OK.
ΔKOB is a right triangle. Thus:
[tex]OB^2=OK^2+KB^2[/tex]
OB is the radius, and KB is half of AB:
[tex](5)^2=OK^2+(4)^2\Rightarrow OK=3[/tex]
ΔJOD is also a right triangle. Thus:
[tex]OD^2=OJ^2+JD^2[/tex]
OD is the radius and JD is half of CD:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ=4[/tex]
Therefore, the distance between the two chords are:
[tex]JK=OJ+OK=4+3=7\text{ cm}[/tex]
PLEASE HELP... What do you do when none of the variables cancel out while solving systems by elimination?
Answer:
multiply one or both of the equations until a variable can cancel out
so if you say hi to someone and they dont say it back what do you do
You can either walk by and just go with it, say dang okay, or you could walk past them like you were saying it to someone else. Good luck to you if you end up in the situation.
Answer:
Give them a dirty look, then say it louder but if u dont want to say it again then just leave them alone. If not BEAT THEM UP
Step-by-step explanation:
Which of the following inequalities is true?
(4-1) (4-1) (4-1)
please do in algebric exp
Answer:
27
Step-by-step explanation:
Correct me if i'm wrong but I read this as (4-1)x(4-1)x(4-1).
Ok so the first step to follow in the order of operation is to do the equations in the paranthesis. 4-1=3.
So it is like dis: 3x3x3.
First 3x3=9, then we do it again but to nine this time. 9x3=27. there u have it
also i cant change my answer or edit it so im sry if this answer is wrong and like- unchangable :/
HELP PLEASE!!!!! 13 POINTS!!! WILL GIVE BRAINLIEST!!!
Which exponential expression is equivalent to the one below? (7x2)^5
Answer:
The 2nd option is the correct answer - 7⁶ . 2⁶
Name an angle of
C) 140°
Answer:
angle C is 90°
Step-by-step explanation:
(sorry if thats not the answer the question is confusing)
have a nice day!! :)
What is the image of (−7,−8) after a dilation by a scale factor of 44 centered at the origin?
Answer:
(-308, -352)
Step-by-step explanation:
For a dilation from the origin, you multiply the x and y by the scale factor.
-7 * 44 = -308
-8 * 44 = -352
(-308, -352)
During a game of roulette, a wheel is spun and a ball drops randomly into one of the wheel's
numbered compartments. Then the process is repeated with another random spin.
Are these two events dependent or independent?
dependent
independent
Answer:
Independent is the correct answer
Step-by-step explanation:
can someone please factor this expression 27/x³- 8
Answer:
(3x-2) (9xsquare+6x+4)
Answer:
Answer is below
Step-by-step explanation:
[tex]\frac{27}{x^{3} } -8= (\frac{3}{x})^{3} -2^{3} =(\frac{3}{x} -2)(\frac{9}{x^{2}}+\frac{6}{x}+4)[/tex]
( from formula (a³ – b³) = (a – b)(a² + b² + ab) )
1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?
* Will be remarked as Brainliest*
Answer:
60%
Step-by-step explanation:
Possible numebrs that can be picked are 1,2,3,4,5
The only odd numbers are 1,3,5
3 odd numbers out of 5 possible numbers
3/5=0.6=60%
A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
a scalene triangle has 3 uneven sides
The tape diagram represents an equation (look at picture!!)
Answer:
1/4 + m = 2/3
Step-by-step explanation:
Beads are sold in a cylindrical container
with a diameter of 13 cm and a height
of 4 cm. How many cubic centimeters
of beads does this container hold?
20cm
dbdjdfg
sbdjwpwhdd
dbdjdldownnwkdldkwjw
dbk202$;%%
What is the distance, d, between the points (3,) and (,1)? Enter your answer in the box. Enter your answer in simplest radical form. d =
Answer:The answer is (√229)/6
Step-by-step explanation: i dont know
Answer:
[tex]([/tex]√[tex]\frac{229}{6}[/tex][tex])[/tex]
Step-by-step explanation:
Easy.
Triangle srt is shown. Choose the correct equation or phrase to fill in each blank in the paragraph. For each blank, fill in the bubble before the equation or phrase that is correct.
How to do this question.
Answer:
is there an image or something to look at? we need one to give the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
IM STRUGGLING PLEASE HELP ILL GIVE YOU BRAINIEST :(((
(If your good at math)
Answer:
1437.33 cm^3 , 75.4 km^3
Step-by-step explanation:
1.
V = (lwh)/3
V = (14 x 14 x 22)
V = 1437.33 cm^3
2.
V = [tex]\pi r^{2} \frac{h}{3}[/tex]
V= [tex]\pi 3^{2} \frac{8}{3}[/tex]
V = 75.4 km^3
What goes in the highlighted box?
Answer:
it's yes
Step-by-step explanation:
hope it help
follow me plsss
A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?
A. L = 0.2w + 5
B. L = 0.2w - 5
C. w = 0.2L + 5
D. w = 0.2L - 5
Answer:
L = 0.2w + 5
Since there is already 5 miles, your adding 0.2w. Its not 0.2L because that is the total length and its the sum.
Answer:
L= 0.22+5
I did packet
Please i need help with this question
Answer:
785cm³
Step-by-step explanation:
3.14×5=15.7
15.7×5=78.5
78.5×10=785
785cm³
Answer:
Volume is 785 cm^3
Step-by-step explanation:
Well first you can find the area of the base which in this case is the circle.
Follow the formula to find area of a circle
a=πr^2
We know π is 3.14 so plug in the radius which is 5
3.14*5^2=a
Solve and you’d get 78.5
Now multiply the base by the height
78.5*10= 785
help plz im so stuck
Answer:
Step-by-step explanation:
Pomocy. Wskaż powierzchnię całkowita sześcianu, którego objętość jest równa 64 cm.
4. 16 om?
B. 64 cm
C. 96 cm2
D. 512 cm?
Answer:
C. 96 cm²
Step-by-step explanation:
Objętość sześcianu = 64 cm³
Krok 1
Znajdujemy długość boku sześcianu
Objętość = (długość boku) ³
64 = a³
a = pierwiastek sześcienny (64)
a = 4 cm
Krok 2
Znajdujemy obszar sześcianu
Wzór na całkowitą powierzchnię sześcianu = 6a²
a = 4 cm
Całkowita powierzchnia = 6 × 4²
= 6 × 16
= 96 cm²
Opcja C jest właściwą opcją
Yesterday only 13 students were absent. The is 4% of the schools enrollment. What is the schools total enrollment?
Answer: 325 students
Step-by-step explanation:
13 students were absent and this is 4% of the school's total enrollment.
If 13 students represent 4% of the students, assume that x represents 100% of the students:
4% * x = 13
0.04x = 13
x = 13/0.04
x = 325 students
There are 325 students in this school.
Please look into this problem!
Answer:
$85000
Step-by-step explanation:
Answer: The answer is $85,000
Step-by-step explanation: Basically, you have to divide -3,400 on both sides. So 85,000 ÷ -3,400 = -25. Now, you have to substitute x, which is -25. -3,400 x -25 = 85,000. Hope this helps!! :)
need help asappppppp
Given:
The right triangular prism.
Height of prism = 28 in.
Hypotenuse of base = 25 in.
leg of base = 24 in.
To find:
The lateral surface area of the prism.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem in the base triangle, we get
[tex]25^2=24^2+Base^2[/tex]
[tex]625-576=Base^2[/tex]
[tex]\sqrt{49}=Base[/tex]
[tex]7=Base[/tex]
The perimeter of the triangular base is:
[tex]P=7+25+24[/tex]
[tex]P=56[/tex]
Lateral area of a triangular prism is:
[tex]A=Ph[/tex]
Where, P is the perimeter of the triangular base and h is the height of the prism.
Putting [tex]P=56,h=28[/tex] in the above formula, we get
[tex]A=56(28)[/tex]
[tex]A=1568[/tex]
Therefore, the lateral area of the prism is 1568 in².
need help asapppppppppp
Answer:
201.53[tex]m^{2}[/tex]
Step-by-step explanation:
That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.
Let's first find the hexagonal base.
The formula to find the area of a hexagon is [tex]\frac{3\sqrt{3}}{2}a^{2}[/tex], where a is the length of one side of the hexagon. In this question, a = 6m
Solve that to find that the area of the hexagon is 93.53m^2.
Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.
6 * 6 = 36
36 / 2 = 18
Hence, the area of one triangle is 18m^2
However, there are six triangles - not just one!
6 * 18 = 108
Adding everything up:
93.53 + 108 = 201.53
The answer is 201.53m^2
A farmer sells 8.7 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
2.2 kg
Step-by-step explanation:
1000g = 1kg
8700g = 8.7kg
3/4 = 75%
8700 / 100 = 87
87 * 75 = 6525
8700 - 6525 = 2175
2.175kg or if rounded 2.2kg
A gray crayon is made with 5mL of black wax for every 6 mL of white wax
What is the area of the triangle given below?
2
11
O A. 11 sq. units
B. 13 sq. units
C. 8 sq. units
O D. 22 sq. units
Answer:
Area = 11 sq. unitsStep-by-step explanation:
Base = 11 units
height = 2 units
Area = 1/2 × base × height
Area = 1/2 × 11 × 2
Area = 11 sq. units
11 square units is the area of the triangle , option A is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The formula to find area of triangle is half times of base and height
Given Base is 11 units
height is 2 units
Area = 1/2 × base × height
Plug in the values of base and height
Area = 1/2 × 11 × 2
Area = 11 sq. units
Hence, 11 square units is the area of the triangle , option A is correct.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ5
Three lines intersect to form the triangle shown below. What is the value of x in degrees?
Answer:
x = 40°
Step-by-step explanation:
The base angles of the triangle are 71° and 69° ( vertical angles ) , then
x = 180° - (71 + 69)° = 180° - 140° = 40°
SECTION A:
QUESTION 1
MULTIPLE CHOICE (10 MARKS)
1.1 The way we see, think and feel about ourselves it includes all knowledge we have
about ourselves.
Self esteem
Self-awareness
Self-confidence
Answer:
Self esteem hope this helps