Answers
Answer:
[tex]\huge\boxed{x \approx 5.4}[/tex]
Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
The line which is 8 units long is a chord of the circle.The line that is 3.6 is almost the radius of the circleThe line that x sits on is the radius.With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
[tex]\displaystyle a^2 + b^2 = c^2[/tex]Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
[tex]3.6^2 + 4^2 = c^2[/tex] [tex]12.96+16=c^2[/tex] [tex]28.96=c^2[/tex] [tex]\sqrt{28.96} = c[/tex] [tex]5.4 \approx c[/tex]Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
Related Questions
12% of 72 is what number?
Answers
Answer:
8.64
Step-by-step explanation:
12% = 0.12
72(0.12) = 8.64
I NEED HELP FAST!!!! WILL GIVE BRAINLIEST.
Answers
Answer:
Step-by-step explanation:
Ok what’s the problem
please help a girl out!! Im really confused
A data set has a mean of 7, a median of 5, and a mode of 8. Which of the numbers (7, 5, or 8) must be in the data set?
7
5
8
Answers
Answer:
8 has to be included in the data set. Since 8 is the mode, and the mode is the number that is seen the most in a set of numbers, 8 has to be in the data set for it to be the mode. Therefore, the answer is 8.
Someone help and plz make sure it’s right? :)
Answers
Answer:
Right
Step-by-step explanation:
It is right because every angle with 90° degree or with these shapes are called right angled traingle.
if it helps don't forget to like and mark me
Which expression is equivalent to −13(6x+15)−3?
Answers
Which function could be represented by the graph on the coordinate plane?
f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6
Answers
Answer:
It D
Step-by-step explanation:
3x+4=5 (2 step equations) NO BOTS
Answers
Answer:
x=1/3
Step-by-step explanation:
3x+4=5
-4 -4
3x=1
3x/3=1/3
x=1/3
Find the volume of the cone.
Answers
It’s C
Hope this helps!
Select the correct answer.
A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p below. The parameter b is an unknown positive base.
p(n)=1.7×b^n
Which statement is true about this situation?
A.
When the survey was initially conducted, the average sales of smartphones was 1.7 million units.
B.
If b = 1.02, the annual sales of smartphones will double in 2 years.
C.
If b = 1.45, the annual growth rate of the sales of smartphones is 145%.
D.
The average annual sales of smartphones increases by 1.7 million units every year.
Answers
Answer:
When the survey was initially conducted, the average sales of smartphones was 1.7 million units.
Step-by-step explanation:
The exponential equation is P ( n ) = 1.7 ( b )ⁿ , where n is the number of years and P ( n ) is the annual sales of smartphones and the initial sales of smartphones was 1.7 million units
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
P ( n ) = 1.7 ( b )ⁿ
where , n is the number of years
And , P ( n ) is the annual sales of smartphones
Now , the value of b is the exponential growth factor
At the initial year , the number of smartphones sold is when n = 0
So , when n = 0
P ( 0 ) = 1.7 ( b )⁰
P ( 0 ) = 1.7 million units
Hence , the number of smartphones sold in initial year is 1.7 million units
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Find the volume of the cylinder. Round your answer to the nearest tenth.
12 in.
10 in.
Answers
Answer: this is your answer 4523.9
Step-by-step explanation:
A recipe that serves 20 people uses ⅝ cup of water. How many cups of water are needed to serve 70 people?
Answers
Answer:
43.75 or simplified as 43 3/4 which is a mixed number
Step-by-step explanation:
How I did it is divide 5 and 8 and got 0.625 and I divided 70 by 0.625 and got 43.75 and I simplified it as a maxed number and got 43 3/4
Which equation can be used to find the value of x?
109=180
x+42=67
x=180-109
42+67-x=180
Answers
Answer:
C
Step-by-step explanation:
We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71 we can check our work by doing
42 + 67+ 71 = 180. We also know 67 + 42 = 109.
Lets look at our answers;
A. 109 = 180 + x When solved it gave me; x = -71. We got a positive 71 so this is incorrect.
B. x + 42 = 67 When solved it gave me; x = 25, which is incorrect.
C. x = 180 - 109 When solved it gave me; x = 71
D. 42 + 67 - x = 180 When solved it gave me; x = - 71
Therefore the answer is C.
Find the 25th term: 53, 50, 47, 44, 41,
Answers
Answer:
-19
Step-by-step explanation:
38
35
32
29
26
23
20
17
14
11
8
5
2
-1
-4
-7
-10
-13
-16
-19
The 25th term of the given arithmetic sequence is -19.
The given arithmetic sequence is 53, 50, 47, 44, 41.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
Here the first term of the sequence is a=53 and the common difference is
50-53=-3
Put, a=53, d=-3 and n=25 in the general form an arithmetic sequence, we get
a25=53+(25-1)×(-3)
= 53+24×(-3)
= 53-72
= -19
Therefore, the 25th term of the given arithmetic sequence is -19.
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What is the interquartile range of warrens data?
Answers
Answer:
10
Step-by-step explanation:
Answer:
To find the interquartile range, first arrange the values in the data set in ascending order:
0, 5, 5, 10, 10, 10, 15, 15, 15, 20, 20, 20, 25, 25, 30.
Because there are 15 values in the data set, the first quartile is the 4th value, which is 10, and the third quartile is the 12th value, which is 20.
interquartile range
=
third quartile – first quartile
=
20 – 10
=
10
The interquartile range of Warren's data is 10.
25y + 150x = 250
find the Variables
Answers
Answer: Step-by-step explanation:
25y + 150x = 250 (÷25)
y+6x=10
y=10-6x
example x=1 y=4
Simplify: 14 - ³√216 No files
Answers
Answer:
8
Step-by-step explanation:
14 - ∛216
Step 1: The cube root of 216 is 6
14 - 6
Step 2: Subtract 6 from 14 to get 8.
8
14 - ∛216 simplifies to 8.
Estimate the perimeter of the figure to the nearest whole number.
Answers
A cliff diver is 64 feet above the surface of the water. The formula for calculating the height (h) of the diver after t seconds is h = -16t2 + 64t How long does it take for the diver to hit the surface of the water?
Answers
Answer:
2 seconds
Step-by-step explanation:
math
A circular-shaped pool has a diameter of 23 meters. What is the AREA of the pool in square meters? Use 3.14 for pi. Round to the nearest tenth.
Answers
Answer:
1472.66
Step-by-step explanation:
simplify 3^6 X 3 please help i failed the test 3 times (im not that smart lol)
Answers
Answer:
2187
Step-by-step explanation:
[tex]3^{6}[/tex] × 3
729 × 3
2187
Answer:
l maooooooo but ill help
its 2187
Step-by-step explanation:
use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first
3x3x3x3x3x3=9x9x9=81x9=729
729x3=2187
Tim has read 40% of a book. He has 42 more pages to finish. How many pages are there in the book?
Answers
Answer:
66 pages
Step-by-step explanation:
I think that is the answer hope it helps you.
The price of 1 kg of silver on 1st January 2010 was $607
By 1st January 2015, the price of 1 kg of silver had decreased by 9.4%
Work out the price of 1 kg of silver on 1st January 2015.
Give your answer correct to the nearest dollar
Answers
Answer:
550
Step-by-step explanation:
9.4/100 multiplied by 607 is 57
subtract this from 607 and the answer is 549.9, to the nearest dollar is 550
PLEASE HELP WILL GIVE BRAINLY IF U HELP ME
Answers
Answer:
D
Step-by-step explanation:
help me pls
The ___________________ of an object is how heavy the object is
Group of answer choices
none
length
weight
capacity
The _____________________ of a container is the amount the container can hold.
Group of answer choices
length
capacity
No answer text provided.
weight
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
_____________________________________________________________
_____________________________________________________________
Convert: 9 T = _____________ lb
Compare. Write <, > or = Solve.
96 fl oz ___________ 13 c
Compare. Write <, > or = Solve.
25 lb ______________ 384 oz
Compare. Write <, > or = Solve.
8 yd ______________ 288 in.
Convert. 336 oz = _________ lb
Answers
Answer:
The weight of an object is how heavy the object is
The capacity of a container is the amount the container can hold.
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
Annie needs 13 quarts of coffee. I know this because 1 US quart is 32 US fluid ounces. 16 fluid ounces multiplied by 26 mugs of coffee is 416 and then you convert 416 fluid ounces into 13 quarts.
Convert: 9 T = 18,000 lb
Compare. Write <, > or = Solve.
96 fl oz < 13 c
Compare. Write <, > or = Solve.
25 lb > 384 oz
Compare. Write <, > or = Solve.
8 yd = 288 in.
Convert. 336 oz = 21 lb
Step-by-step explanation:
A store pays$76.40 for a bookcase and marks the price up by 45%.What is the new price?
Answers
Answer:
$110.78
Step-by-step explanation:
$76.40 × 45%
$34.38
$76.40 + $34.38
$110.78
Please help me ASAP Its 4th grade homework
Answers
Answer:
equilateral
Step-by-step explanation:
all sides are even to each other
Answer: Equilateral triangle
Step-by-step explanation: This is because it has 3 equal sides
M(-5,2) and N(5,2) are the endpoints of the sedment MN on the cordinate plane what is the length of MN
Answers
Answer:
10 units
Step-by-step explanation:
Given data
The points are
M(-5,2) and N(5,2)
x1=-5
y1= 2
x2=5
y2= 2
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((5-(-5))²+(2-2)²)
d=√10²+0²
d=√100
d=10
Hence the distance is 10 units
PLSS HELP WITH THSI IMMEDIATELY!!!! i’ll give brainiest if u don’t leave a link.
Answers
Answer:
Step-by-step explanation:
All the three sides are equal. So, it is equilateral triangle.
All the angles are less than 90°, so, it is acute triangle
Answer:
it's acute and equilateral
Step-by-step explanation:
Find the surface area of the prism. Write your answer as a fraction or moxed number.
Answers
Tammy is making 5 batches of punch for the school's Spring Carnival. The recipe for one batch uses 1 liter of orange juice, 650 milliliters of lemon juice, 2.3 liters of soda water, and two 750 milliliter bottles of apple cider.
Answers
Answer: 23.5 L
Step-by-step explanation:
Given
1 batch of recipe needs
1-liter Orange Juice
650 ml of Lemon Juice
2.3 L of soda water
750 ml of apple cider
We know, [tex]1\ L=1000\ ml[/tex]
The total volume of liquid used is the sum of all the ingredients
[tex]\Rightarrow 1+0.650+2.3+0.75=4.7\ L[/tex]
1 batch requires 4.7 L of liquid
5 batch requires [tex]5\times 4.7=23.5\ L[/tex] of liquid