A circle with two chords is given with length X, 8, x-12, 12. Thus, The value of x is 24.
What is the relation between line perpendicular to chord from the center of circle?If the considered circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting(dividing in two equal parts) the line segment AB.
Or
|AC| = |CB|
Using the theorem of intersecting chords
[tex]12x =8(x-12)\\\\12x = 8x - 96\\\\12x - 8x = 96\\\\4x = 96\\\\x = 24[/tex]
The value of x is 24.
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The graph of a function is shown on the grid.
Answer:
y-intercept = (-2,0)
Step-by-step explanation:
the "C" is the answer
What is the rate of change and y intercept
5 is the awsterstdysytghujfhds
50 points
enter the value of c when the expression 21.2x + c is equivalent to 5.3(4x - 2.6).
Answer:
c = -13.78.
Step-by-step explanation:
21.2x + c ≡ 5.3(4x - 2.6)
21.2x + c ≡ 21.2x - 13.78
Equating constant terms:
c = -13.78.
Answer:
13.78
Step-by-step explanation:
21.2x + c = 5.3(4x - 2.6)
open the bracket
21.2x + c = 21.2x - 13.78
collect like terms
c + 13.78 = 21.2x - 21.2x
c + 13.78 = 0
c = -13.78
please please please help me with these four questions! giving brainly!!
Answer:
Step-by-step explanation:
How do I solve and what is the answer
Answer:
Step-by-step explanation:
the 2nd and 4th answers look good. the 1st answer is correct as well.
To solve this look at the x axis and y axis, the x axis is in inches, the y axis is in pounds. So you know that as the distance increase per inch, the force in pounds is increasing too.
so the force applied is going up, 0.73 pounds , for each inch of travel ( or stretch) of the spring.
hello thee please solve my question
Find the value of x and y
If
5x+10y=55
4x-12y=10
Answer:
It is attached
Step-by-step explanation:
9. What is the vertex of the function? f(x) = 3x² - 8x + 10
Answer:
The vertex of the function is (1.333, 4.667)
Step-by-step explanation:
1. Calculate -b / 2a. This is the x-coordinate of the vertex.
2. simply plug -b / 2a into the equation for x and solve for y.
[tex]Y = 3x^{2} - 8x + 10\\Compare with the form of y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.[/tex]
Calculate -b/2a:
[tex]X = -(-8)/2(3)[/tex]
[tex]X = 8/6[/tex]
This is equal to 1.33 recurring
Plug 8/6 for x and solve for y:
[tex]Y = 3x^{2} - 8x + 10[/tex]
[tex]Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10[/tex]
[tex]Y = \frac{48}{9} - \frac{64}{6} + 10\\[/tex]
This is equal to 4.66 reccuring.
A: y=6n+ 4 When n =5
B: y=45-(9n+7) When n = 2
Answer:
A=34 B=20
Step-by-step explanation:
A: y=6(5)+4 (34)
B: y=45-(9(2)+7)
y= 45-(18+7)
y=45-25 (20)
There is a map of the world on the wall in
Mr. Smith's classroom. The scale on the
map
lists 1 inch to 400 miles. On his map,
Mr. Smith measured 13 inches between the
United States and Europe. How many
miles is the distance from the
United States to Europe?
[? ] miles
The distance from the United States to Europe is 5200miles.
We have given that the,
There is a map of the world on the wall in Mr. Smith's classroom.
The scale on the map
lists 1 inch to 400 miles.
On his map, Mr. Smith measured 13 inches between the United States and Europe.
What is the value of one inch?
The value of one inch is 400 miles.
We have to determine the 13 inches in miles
We have given that
1inch=400miles
Therefore multiply both side by 13 so we get
13inches=13(400)miles
=5200miles
Therefore we get, the distance from the United States to Europe is 5200miles.
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Answer:
5200
Step-by-step explanation:
If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:
Distance in miles = Number of inches * Scale
Distance in miles = 13 inches * 400 miles/inch
Distance in miles = 5200 miles
Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.
14 1/2 - 2 1/3 what is the answer to this equation?
Answer:
12 1/6
It wants me to add more but there's nothing to add
What is the answer to 25% of 50
Answer:
12.5
Step-by-step explanation:
.25 x 50= 12.5
Which shows the terms of the series? 4 12 48 192 4 12 36 3 12 48 192 3 12 48
The value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
What is summation?In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.
Now we have a given term
[tex]\sum_{n=1}^{4} 3(4)^{n-1}[/tex]
By solving the above term;
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^{1-1}+3(4)^{2-1}+3(4)^{3-1}+3(4)^{4-1}[/tex]
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^0+3(4)^1+3(4)^2+3(4)^3[/tex]
[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3 + 12 +48 + 192[/tex]
Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
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Answer:
1. 3 + 12 +48 + 192
2. 255 edge
Step-by-step explanation:
factor the polynomial
72a^5b^3c - 32a^3b^2c^2
Answer:
8a³b²c(9a²b - 4c)
Step-by-step explanation:
The GCF of 72 and 32 is 8.
72a^5b^3c - 32a^3b^2c^2 = 8a³b²c(9a²b - 4c)
If y varies directly with x and
y=15 when x is 9, what is x when
y=30?
Answer:
x = 18
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 15 when x = 9 , then
15 = 9x ( divide both sides by 9 )
[tex]\frac{15}{9}[/tex] = x , that is
x = [tex]\frac{5}{3}[/tex]
y = [tex]\frac{5}{3}[/tex] x ← equation of variation
when y = 30 , then
30 = [tex]\frac{5}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
90 = 5x ( divide both sides by 5 )
18 = x
A cube with a cylindrical hole cut out of the middle is shown. The edge length of the cube is 36 feet, and the circle on the front face of the cube has a diameter of 4 feet. The volume of this figure is
46204 ft³
Explanation:
Volume of cube: length³ ⇒ 36³ ⇒ 46656 ft³
Volume of cylinder: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³
Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³
For cube
Volume=side³V=36³V=46656ft³For cylinder
Area of base:-
π(4/2)²3.14(2)²4(3.14)12.56ft²Volume:-
Area of base×Height12.56(36)452.16ft³Volume of figure:-
46656-452.1646203.84ft³A circle with a 2-inch radius is translated a distance of 12 inches perpendicular to the plane it is in. If copies of the circle are left along the path of the translation, what three-dimensional figure is formed, and what equation can be used to represent its volume?
Answer:
See below
Step-by-step explanation:
This will create a cylinder volume = 1/2 pi r^2 h = 1/2 pi 4 * 12
= 24 pi = 75.398 in^3
Answer:
Step-by-step explanation:
1=10^0 into logarithmic form
Answer:
[tex]0 = log_{10} 1[/tex]
Step-by-step explanation:
Base for the exponent and for the logarithm are the same!
10^0 is the exponential form where 10 is the base and 0 the exponent
[tex]log_{10} 1[/tex] is the logarithm form where 10 is the base
To solve [tex]log_{10} 1 =[/tex] ask the question :
To what power should I raise the base 10 to obtain the number 1 ?
The answer to the power 0 therefore
[tex]log_{10} 1 = 0[/tex]
[tex]1 = 10^{0} -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form[/tex]
The value of Betty's car decreased from $22,000 to $18,700. What is the percent decrease in Betty's car?
Answer:
Step-by-step explanation:
22000-18700=3300
3300/22000x100=15%
Answer:
It is a 15 percent decrease
Step-by-step explanation:
Divide 18700 by 22000, and your answer will be 0.85 but its asking for the decrease, 100-85=15, so 15% is the decrease.
Use the quadratic formula to solve for x.
I need help with this question please-
Answer:
2) -1, 0, 1, 2, 3, 4
3) 78, -2 , 1
Step-by-step explanation:
2) Substitute the x into the equation.
3) Substitute the 9 as the x value into the function so ([tex]9^2[/tex]) -3 = 78 etc.
The circumference of a compact disc is 28.26 centimeters. What is the radius?
Please help
Answer:
The radius is 4.5cm.
Step-by-step explanation:
Circumference is the distance around the outside of a circle, the perimeter of the circle. Circumference formula is:
C = pi•d OR
C = 2•pi•r
Since we are looking for radius, use the second formula.
C = 2•pi•r
28.26 = 2pi•r
Divide by 2pi.
28.26/2pi = r
r = 4.5
The radius is 4.5 cm.
What is the volume of a rectangular prism that is 1 1/2 inches by 2 1/4 inches by 4 inches? SHow your reasoning.
Answer:
27/2 in^3 or 13.5 in^3 as a mixed fraction
Step-by-step explanation:
V=whl
Simplify the following:
(1 + 1/2) (2 + 1/4)×4
Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:
(2/2 + 1/2) (2 + 1/4)×4
2/2 + 1/2 = (2 + 1)/2:
((2 + 1)/2) (2 + 1/4)×4
2 + 1 = 3:
3/2 (2 + 1/4)×4
Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:
(3×4)/2 ((4×2)/4 + 1/4)
4×2 = 8:
(3 (8/4 + 1/4)×4)/2
8/4 + 1/4 = (8 + 1)/4:
(3×4)/2 ((8 + 1)/4)
8 + 1 = 9:
3/2×9/4×4
3/2×9/4×4 = (3×9×4)/(2×4):
(3×9×4)/(2×4)
(3×9×4)/(2×4) = 4/4×(3×9)/2 = (3×9)/2:
(3×9)/2
3×9 = 27:
Answer: 27/2 or 13.5 as a mixed fraction
What is the slope of the line that passes through the points ( − 5 , 6 ) and(−9,−6)? Write your answer in simplest form.
Answer:
-3
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1 so put you numbers in and you get
-6-6/-9+5
-12/4
and then -3
Answer:
-3
Step-by-step explanation:
[tex]y=mx+b[/tex] is equation of a straight line.
Here, the slope is m.
[tex]m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3[/tex]
for a sample size of 115 and a population parameter of 0.1, what is the standard error of the sampling distribution? round your answer to three decimal places.
Andy said that any shape with more than three sides or angles has the same number of lines of symmetry. Is this true or false?
Step-by-step explanation:
How to solve 12 1/2 x 4 in area model?
Hey there!
12 1/2 * 4
= 12 1/2 * 4/1
= 12 * 2 + 1 / 2 * 4/1
= 24 + 1 / 2 * 4/1
= 25/2 * 4/1
= 25(4) / 2(1)
= 100 / 2
= 100 ÷ 2 / 2 ÷ 2
= 50 / 1
= 50
EASIER UNDERSTANDING….
= 25 + 25 + 25 + 25 / 2 + 0
= 50 + 50 / 2 + 0
= 100 / 2
= 100 ÷ 2
= 50
Therefore, your answer is: 50
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A school has 124 students who want to take a new computer class.
Each class can have a maximum of 18 students. Which inequality could
be used to determine how many classes, c, need to be scheduled so
that all students can take the class?
Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20.00?
Answer:
she should get in change $5.55
• 1 hour = 60 minutes
• 1 kilometer = 1000 meters
• 1 mile = 1.6 kilometers
Calvin biked 24 miles in 2 hours. What is his approximate
average speed in meters per minute?
1 mile = 1.6 kilometers so 24*1.6 = 38.4
24 miles = 38.4 kilometers
1 kilometer = 1000 meters so 38.4*1000 = 38,400 meters
38.4 kilometers = 38,400 meters
1 hour = 60 minutes so 2*60 = 120
2 hours = 120 minutes
To calculate meters per minute, divide.
38,400 / 120 = 320
So that means that Calvin's approximate speed is 320 meters per minute.
Find the surface area of the cone in terms of pi. 15cm 3cm
Answer:
The surface area of cone = 54π cm²
Step-by-step explanation:
Given ;
Radius = 3 cm
slant height = 15cm
The surface area of cone = πr ( r + l )
=> π × 3 ( 3 + 15)
=> π × 3 ( 18)
=> 54 π cm²
Answer:
Option a
Explanation :
check out my attached work
Hope it helps, let me know if you have any questions !
Have a nice rest of your day :)