The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle
===================================================
Explanation:
The drawing is shown below.
Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CEThe goal is to find the length of CE based on these facts
BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DENotice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.
Focus on triangle CAD. We'll use the pythagorean theorem to find x.
a^2 + b^2 = c^2
(AD)^2 + (DC)^2 = (AC)^2
15^2 + x^2 = 17^2
225 + x^2 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Segment CD is 8 cm long, and so is segment DE.
To wrap things up, we then say:
CE = CD + DE
CE = 8 + 8
CE = 16
Chord CE is 16 cm long.
What is the reciprocal of 3 1/3
Answer:
3/10
Step-by-step explanation:
make 3 and 1/3 to an improper fraction (3 multiplied by 3 plus 1) which is 10/3. the reciprocal is 3/10
Answer:
0.3
Step-by-step explanation:
Have a great day!
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer: 20 ft.
Step-by-step explanation:
Simply multiply 5 x 4.
Answer:
20 ft`
Step by step explanation:
N/A
A man has a collection of 19 coins worth $2.55. There are twice as many nickels as dimes. If the rest are quarters, how many quarters are there?
Answer:
4
Step-by-step explanation:
Split 19 into two numbers, 9 and 10. If there are 10 nickels, there are 5 dimes. That means there rest are quarters and there are 4.
edit : im not american and have little knowledge of how much each are worth
estimate the area please.
Answer: You need to count how many squares are shaded (at least half of it), therefore the area is 32 square units.
you are taking a typing class and can now type 30 words er minute. set up a proportion to solve for the amount of time it would take you to type 400 words
Time needed to type 400 words is 13.3 minutes.
What is unit rate?A unit rate means a rate for one of something.
Given that, you are taking a typing class and can now type 30 words per minute.
For 30 word, you need 1 minute.
Let you need x minutes for 400 words,
Therefore, the proportion will be,
1/30 = x/400
x = 400/30
x= 40/3
x = 13.33333 ≈ 13.3
Hence, you need 13.3 minutes to type 400 words.
For more references on unit rate, click;
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Does the point (–13, –1) satisfy the equation y = –3?
Use the algebra tiles to help you solve 3x+6=12
Answer:
2
Step-by-step explanation:
We subtract both sides by 6 (3x=6)
And then we divide by 3 (x=2)
Hey there!
You have 3 x-tiles
+
6 = positive-tiles (+)
=
12 positive-tiles (+)
3x + 6 = 12
SUBTRACT 6 to BOTH SIDES
3x + 6 - 6 = 12 - 6
CANCEL out: 6 - 6 because it gives you 0
KEEP: 12 - 6 because it helps solve for the x-value
NEW EQUATION: 3x = 12 - 6
SIMPLIFY IT!
3x = 6
DIVIDE 3 to BOTH SIDES
3x/3 = 6/3
CANCEL out: 3/3 because it gives you 1
KEEP: 6/3 because it helps solve for the x-value
x = 6/3
SIMPLIFY IT!
x = 2
Therefore, your answer is: x = 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
An item is regularly priced at $97. It is now priced at a discount of 40% off the regular price.
Answer:
38.8
Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8
Use the distributive property to remove the parentheses.
3(6-y)
Answer:
18-3y.
Step-by-step explanation:
3 x 6 = 18
3 x -1y= -3y.
Answer:
18 - 3y
Step-by-step explanation:
3(6-y)
(3)(6) + (3)(-y)
18 + (-3y)
18 - 3y
Solve for p if L = 2 1/2 ft and W = 3 2/5 ft. P = 2L + 2W
Answer:
[tex]\frac{59}{5}[/tex] or 11 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
hope this helps :)
what set does -15/2 belong to
Answer:
Rational numbers
Step-by-step explanation:
any number that can be written as the ratio of two integers and that is terminating or repeating in decimal form
hoped that helped
Answer:
Rational numbers
Step-by-step explanation:
These numbers are numbers that can be expressed as a ratio of two integers and includes decimals that terminate (they end like 5.1 or 6.349) or repeat (such as 5.33333333333...)
Look at picture this is so hard pls help
Answer:
D) 8
Step-by-step explanation:
What the problem is asking you to do is multiply the two expressions and substitute x=3 into the product.
[tex]f(x)=2^x[/tex]
[tex]g(x)=2x-5[/tex]
[tex](f*g)(x)=f(x)g(x)=(2^x)(2x-5)[/tex]
[tex](f*g)(3)=f(3)g(3)=(2^3)(2(3)-5)=(8)(6-5)=(8)(1)=8[/tex]
Therefore, the correct answer is D
What is the range of the graph
On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.
In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve
what does 2y-x=-14 equal?
Answer:
x=2(y+7)
Step-by-step explanation:
2y−x=−14
Subtract 2y from both sides.
−x=−14−2y
The equation is in standard form.
−x=−2y−14
Divide both sides by −1.
x=2y+14
Then use the inverse property of distrubtion.
x=2(y+7)
or if you want to you can leave it as x=2y+14
Answer:
y=x/2-7
Step-by-step explanation:
Move x to the side with the constant and then divide.
1. -x from both sides
2. the divide by 2
it can also be written like
y=1/2x-7
Which of the following is a rational function?
A.
B.
C.
D.
Answer:
c
Step-by-step explanation:
c will be the answer g g g t g
0.326
In stranded form pleasee
Answer:
0.326
The dot is going to move to the right which is going to be in between 3 and 2.
Then the answer will be 3.26 ×10^-1
Answer:
3.26 × 10-1 or
[tex] \frac{163}{500} [/tex]
I didnt know which one u needed
Studying a group of children from first grade through high school to see the effect of pre-schooling on educational success would be which
type of study?
a
longitudinal
cross-sectional
Ос
natural observation
Od
experimental
Answer:
Longitudinal study
Step-by-step explanation:
Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.
Simplify:
(a^-2)^-3 divided by (a^5)^-1
Hi,
.
[tex]( { {a}^{b} })^{c} = {a}^{b \times c} [/tex]
.
[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{b - c} [/tex]
=>
[tex]\frac{ { ({a}^{ - 2} })^{ - 3} }{ { {(a}^{5}) }^{ - 1} } = \frac{ {a}^{ 6} }{ {a}^{ - 5} } = {a}^{ 11} [/tex]
.
.
I hope it helped ✅(•‿•)
Which equation is NOT a linear? function
Answer:
A
Step-by-step explanation:
Because the x-intercept is zero and if you want to show it on a graph it is a quadratic function.
Hey! i need some help with a math question if anyone doesn't mind helping-
35 = 4x + 7
yes, this is a very simple equation but i have the brain of a 5th grader lol.
What is 826x98= ?
826x98 is 80948
Answer:
im pretty sure we keeps the account sorry this isnt for the math question
Step-by-step explanation:
826×98=80948
Answer:
80,948
Step-by-step explanation:
that's the answer.
Please help!!
Select the correct answer.
Consider functions f and g.
f(x)= square root 2x+2
g(x) = x^2-2/2
Which statement is true about these functions?
See in photo
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]
Get the composite function g(h(x))
[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; https://brainly.com/question/14391067
Any help wit this ? Cause I’m kinda confused
Answer:
D. The hiker would climb up 46 meters
Step-by-step explanation:
It would make the negative cancel out and would make it 0. 0 is sea level
Answer:
D the hiker would climb up 46 meters.
Step-by-step explanation:
If the hiker is -46 meters from sea level, that means the hiker is 46 meters BELOW sea level. For them to return to sea level, they would have to increase their elevation 46 meters by going up 46 meters, to make it to sea level.
NO LINKS!
Part A: Find the LCM of 5 and 12. Show your work. (3 points)
Part B: Find the GCF of 72 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answer:
Part A: 60
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
12, 24, 36, 48, 60.
---------------------------------
Part B: 9
81 / 72 = 9
----------------------------------
Part C: 9 (8 + 9)
GCF of 72 and 81 is 9...
Divide 72 by 9 and get 8.
Divide 81 by 9 and get 9.
To check multiply 9 with 8, and multiply 9 by 9.
----------------------------------
Easy! :D (if you don't mind, may I get brainliest please?)
Drag the numbers below to put them in order from least to greatest:
-9 -12 -4
–4 20 -1 -6
Answer:
-12, -6, -4, -1, 9, 20
Step-by-step explanation:
9, -12, -4, 20 -1, -6
putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).
The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.
Given data: -9, -12, -4, 20, -6, -1
Starting from the smallest number:
-12 is the smallest number.
Next is -9, which is larger than -12 but smaller than -6.
Then comes -6, larger than -9 but smaller than -4.
After that, we have two occurrences of -4.
Following that is -1, greater than -4.
Finally, the largest number is 20.
So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.
Learn more about ascending order here:
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I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
I don't understand the question your asking
A school staff meeting had 30 teachers in attendance, 60% of whom were first-year teachers. How many first-year teachers were in the meeting?
Answer:
I personally think the answer is because if the 60% of the teachers among 30 teachers were first-year teachers,then it would mean the other 40 % of the teachers were recent/ this year teachers.
Answer it please ❤❤❤❤❤❤❤❤❤❤ I really appreciate if u answer it !
Answer:
Josh has 60% of $600 that is $360
Daniel has $320
So Josh has more by $40
5)
Bianca has 43 votes
Carlos has 38% of the 150 vote that is 57
So Carlos has 14 more votes than Bianca
Step-by-step explanation:
You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.
-33 less than or equal to -4x + 3
Step-by-step explanation:
-33 ≤ -4x + 3
Group like terms
4x ≤ 3 + 33
4x ≤ 36
Divide both sides by 4
4/4x ≤ 36/4
x ≤ 9
Final answer: x ≤ 9
Hope this helps.