Find the length of a chord which is at a distance of 4 cm from the centre of the circle of radius 6cm.
Answers
Answer:
4√5 cm
Step-by-step explanation:
Connect the two points at which the chord touches the circle to the center - these are radii.
We know that the chord is 4cm from the center of the circle.
So we now have an isosceles triangle with height of 4cm and congruent side lengths of 6cm (see attached diagram for visual representation). An isosceles triangle is made up of 2 congruent right triangles.
To find the length of the chord, all we have to do is calculate the shorter leg of one of the right triangles and multiply it by 2.
Use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs and c is the hypotenuse of a right triangle).
Therefore, a² + 4² = 6²
a² + 16 = 36
a² = 36 - 16 = 20
a = √20 = 2√5
So the length of the chord = 2 x 2√5 = 4√5 cm
Related Questions
A store offers a discount if a customer purchases shirts in bulk. The table shows the relationship between the cost (c) in dollars per shirt and the number (s) of shirts purchased.
Answers
Answer:
Step-by-step explanation:
I need help with this, please
Answers
What do you need help with?
EQUATIONS
y = x2 – 1
Domain:
Range:
Function?
Answers
Answer:
Domain: all real numbers
Range: -1,infinity
Function: yes
-
Which of the following is not a function?
A.
y = 5*
B.
X
xlo
y
8
8
8
2
colo
4
c.
{(3,-2), (7-4), (3, 2), (10,-8)}
D.
Answers
Answer:
2 is not function because 1 has no unique image
A rectangle has a width of w . Its length is 4 more than twice the width. what is the area
Answers
Answer:
if the width is W and the length is 4 more of twice the width therefore the length is 2W+4
area = length × width
= 2W+4×W
=2W+4
Help with this question
Answers
Answer:
Rita earned $90,510
Step-by-step explanation:
If you multiply each sale price by 0.03 (what 3% is in decimal form), you'd get the amount Rita made for each house. Add all these up, and you get $90,510, the total amount she made in one year.
Which equation is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (-8, 1)?
012 (18)
Y82 (
11
1-2 (+8)
82 (1)
Answers
Answer:
y=2x+17
Step-by-step explanation:
y-y1=m(x-x1)
y-1=2(x-(-8))
y-1=2(x+8)
y=2x+16+1
y=2x+17
can someone please help me match the piecewise function with the correct graph?
Answers
Answer:
C
Step-by-step explanation:
First is the quadratic equation because (x+4) is squared so we have a parabola graph
Second and third are equations of a lines because we have only x in the equations
...so choices B and C have parabola ,line, line
The parabola has the condition x< -3 since we have a "less then" sign the bubble has to be empty on the parabola line on the graph C
Find the length of the side x.
Give your answer rounded to 1 DP.
x
6m
11m
4m
Answers
Check the picture below.
an angle is 74 degrees more than the measure of its supplementary angle. what is the measure of each angle
Answers
Answer:
53° and 127°
Step-by-step explanation:
180 - 74 = 106
106/2 = 53
53 + 74 = 127
127 + 53 = 180
A theater has 22 rows of seats. The first row has 18 seats, the second row has 20 seats, the third row has 22 seats, and so on. How many seats are in the theater?
Answers
Answer:
1078
Step-by-step explanation:
Total no of rows (n) = 22
Since, 18, 20, 22 ..... forms an arithmetic sequence with first term (a) = 18 and common difference (d) = 2.
We need to find: Total no of seats in the theatre [tex](S_{22}).[/tex]
Formula to be used:
[tex]S_{n}= \frac{n}{2}\bigg[2a+(n-1)d\bigg][/tex]
Plug the values of a, d and n in the above formula, we find:
[tex]\implies S_{22}= \frac{22}{2}\bigg[2(28)+(22-1)(2)\bigg][/tex]
[tex]\implies S_{22}=11[56+(21)(2)][/tex]
[tex]\implies S_{22}=11[56+42][/tex]
[tex]\implies S_{22}=11[98][/tex]
[tex]\implies S_{22}=1078[/tex]
Thus, there are total 1078 seats in the theatre.
four times as many as 4 pencils is p
Answers
Answer:
[tex]16=p[/tex]
Step-by-step explanation:
Equation from problem:
[tex]4(4)=p[/tex]
Solve:
[tex]16=p[/tex]
Explain how the function compares to the parent function, f(x).
4f(x+7)
4
f
x
+
7
Question 1 options:
vertical stretch by factor of 4, left 7 units
vertical stretch by factor of 4, up 7 units
vertical stretch by factor of 4, down 7 units
vertical stretch by factor of 4, right 7 units
Answers
Check the picture below.
[tex]\stackrel{parent}{f(x)=x}\qquad \qquad \stackrel{transformed}{\stackrel{A}{4}(\stackrel{B}{1} x\stackrel{C}{+7})+\stackrel{D}{0}}\qquad \implies 4(x+7)[/tex]
is not really a stretch per se, more like a shrinkage, by a factor of 4 and moves to the left by 7
is a diameter of D. If m∠BDC = 140°, what is the measure of ?
60°
180°
40°
140°
Answers
Answer:
To find ab you need to subtract 140 degrees from 180 degrees
That should equal 40 degrees
Step-by-step explanation:
Answer:
the answer to the question is 40
2. Which set of numbers have a least common
multiple of 80?
A. 4 and 20
B. 8 and 10
C. 16 and 20
D. 12 and 40
Answers
Answer:
C.Step-by-step explanation:
Multiples of 16:
16, 32, 48, 64, 80Multiples of 20:
20, 40, 60, 80, 100.Here are the options verified:
A. 4 and 20. Incorrect. It takes a while to get to 80 by 4's.B. 8 and 10. Incorrect. Same thing goes with A, but with 8's.C. 16 and 20. Correct.D. 12 and 40. Incorrect. 12 is not a multiple of 80.Option C is your answer.
Ethan saves $1.25 on Monday and $4.25 on Friday each week. How long would it take him to save enough for a $99 pair of AirPods?
Answers
Answer:
18 weeks
Step-by-step explanation:
Ethan earns $5.50 per week (5.5w) in an attempt to reach $99 (99)
5.5w=99
divide both sides by 5.5 and you get:
w=18
Therefore, Ethan must work 18 weeks in order to save enough for a $99 pair of AirPods
Find the area of triangle whose base is 6 cm and height is 8 cm
Answers
Answer:
24cm squared
Step-by-step explanation:
do base x height = 48 then as it is half of a square you half it.
A gum factory puts 18 pieces of gum in each pack. How many pieces of gum are in 48 packs
Answers
Answer:
864 pieces
Step-by-step explanation:
18 pieces x 48 packs = 864 pieces in 48 packs
(image) The figure below is an isosceles triangle surmounted by a semi-circle. Find the area of the entire region.
5 5 40°
Answers
Answer:
12.53
Step-by-step explanation:
∠BCA = (180°-40°)/2 = 70°
Laws of Sines: CA/sin 40° = AB/sin 70° = 5/sin 70°
CA = 5/sin 70° * sin 40° = 3.40
area of semicircle CA = (3.1416 * 1.70²) / 2 = 4.54
By Heron's Formula, area of triangle ABC:
1/4 √(a+b+c) (a+b-c) (b+c-a) (c+a-b) = 1/4 * √13.4*3.4*3.4*6.6
= 7.99
Entire region area = 4.54 + 7.99 = 12.53
what is this question
Answers
Answer:
MT is a segment bisector of the ray PQ
Answer:
Ray MTExplanation:
You can clearly see that when ray MT intersected PQ, it has showed two small lines between the equal distances. This means that if Ray MT intersected the line, they are both equal in length. Hence, Ray MT is the segment bisector.
Would the answer be 19 1/3 or 1? Please help!
Answers
Answer:
19 because it greater and im guessing
36 x 1/5
Show your work
Answers
Answer:
7 1/5 or 36/5
Step-by-step explanation:
First, multiply 36 by the numerator which is 36 x 1.
Second, 36 x 1 is 36 so then it turns out to be 36/5.
Third, it your choice rather you want it to be improper or mixed fraction.
Then, if you want it to be improper fraction your answer would be 36/5 but if you want it to be mixed fraction divide 36 with 5.
Lastly, you get 7 1/5.
Which expression represents the volume of this prism?
2x2 8 units
4x1x 8 units
1 x 2 x 8 units3
1 x 2 x 4 units3
Answers
Answer:
I think that 1 x 2 x 8 units³ is the correct one because the base, height, and length are multiplied. And when they are multiplied together we get volume.
Step-by-step explanation:
given Q= 100K^0.5 L^0.5 w=50 r=40 show how to determine the amount of labor and capital that the firm should use in order to minimize the cost of producing 1,118 units of output. what is the minimum cost?
Answers
In this exercise we have to use the knowledge of function to write the minimum production cost, so we have to:
[tex]K=13.975[/tex]
Thus writing the function that corresponds to this will be:
[tex]MPK = Q'(K) = 50L^{0.5}/K^{0.5} = 25\\MPL = Q'(L) = 50K^{0.5}/L^{0.5} = 100[/tex]
Now calculating the minimum production cost we have:
[tex]MPK/r = MPL/w\\MPK/40 = 100/50\\MPK =80\\MPK = 50L^{0.5}/K^{0.5} = 80\\K=(1.118/80)= 13.975[/tex]
See more about functions at brainly.com/question/14674614
Use a calculator to find the angle measure to the nearest degree for sin-1 (0.8660).
45 Pts!
Answers
Answer:
[tex]sin^{-1} (0.866)[/tex] = 60°
Step-by-step explanation:
→ [tex]sin^{-1} (0.866)[/tex]
→ 60°
Is a 100% a bad grade for a math test
Answers
Answer:
It's a great grade
Good job! :)
Answer:
Not at all!
Step-by-step explanation:
it means you got an A+ and depending on what you did possibly extra points as well!
Good job!
256 divided by 16 ratio table problem
Answers
Answer:
256 divided by 16 is 16.
Step-by-step explanation:
16 can fit into 256, 16 times!
Rewrite (7/9) ^-1 without an exponent
Answers
Answer: 9/7
Step-by-step explanation:
(7/9)^-1 means you have to find the reciprocal, which is 9/7
Answer:
9/7
Step-by-step explanation:
with any negative power, we have to find the reciprocal of the base. in this case, it is 9/7. then, apply the exponent to the fraction. now, it is 9^1 over 7^1. we can just write it as 9/7 because if the exponent is 1, it is just the value of the base, so it is not written.
A ladder leaning against a wall is used to reach a window that is 16 feet above the
ground. The wall is 12 feet from the bottom of the ladder? How long is the ladder in feet?
Answers
Answer:
20
Step-by-step explanation:
c = √a2 + b2 = √162 + 122 = 20
Hope this helps pls mark brainliest
If a microbiologist cultured 3000 cells at a rate of 7%, how many days will it take for 360 new cells to reproduce?
Answers
Answer:A = A0ekt
where A0 = 3000, k = 7% (or 0.07)
A = (3000 + 630) = 3630 = 3000e[(0.07)t]
Our goal is to find t
[(3630)/(3000)] = e[(0.07)t]
ln{[(3630)/(3000)]} = (0.07)t
(0.07)t = 2*ln(11/10)
t = = 2.7 days
Step-by-step explanation:
