Answer:
11.72cmStep-by-step explanation:
Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.
Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);
hyp² = opp² + adj²
Let the opposite be the 9cm length
Adjacent will be half of the chord length = 15/2 = 7.5cm
Substituting this values into the formula we will have;
hyp² = 9² + 7.5²
hyp² = 81+56.25
hyp² = 137.25
hyp² = √137.25
hyp = 11.72
Hence the radius of the circle is approximately 11.72 cm long
Write an expression in terms of x that represents the distance between (2,10) and (x,10) for x>2.
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(x-2)^2+(10-10)^2} =\sqrt{(x-2)^2}=x-2[/tex]
The required expression is [tex]x^2-4x+4[/tex]
The given coordinates are (2,10) and (x,10)
The formula for finding the distance between two points is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now, substituting the given points into the above formula we get,
[tex]\sqrt{(x-2)^2+(10-10)^2}\\=(x-2)^2\\=x^2-4x+4[/tex]
Learn More:https://brainly.com/question/11495758
A fourth-grade class earned snow cones for reading the most number of books. Each snow cone cost $1.47. If the total cost for the snow cones was $32.34, how many fourth graders are in the class?
Answer:
22 fourth graders
Step-by-step explanation:
Set up an equation, with the total amount on one side and the amount per cone on the other. Let x represent the unknown number of students:
[tex]1.47x=32.34[/tex]
Now we need to solve for x. Do this by isolating it:
Undo the multiplication on the left side by dividing both sides by 1.47:[tex]\frac{1.47x}{1.47} =\frac{32.34}{1.47}[/tex]
The 1.47 on the left now cancels each other out. Simplify:
[tex]x=22[/tex]
x equals 22, so there are 22 fourth graders in the class.
:Done
6. Combine like terms. What is the simplified form of the expression?
6a + 8 + 2a – 6
=
Answer:
8a+2
Step-by-step explanation:
[tex]6a + 8 + 2a – 6\\\\\mathrm{Group\:like\:terms}\\=6a+2a+8-6\\\\\mathrm{Add\:similar\:elements:}\:6a+2a=8a\\=8a+8-6\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\=8a+2[/tex]
Answer:
6a + 8 + 2a – 6
we calculate the unknowns of the same type alone (x with x, a with a, y with y ...) and the digits / numbers alone .
6a+2a=8a
8-6=+2
So 8a+2
Simply the exponential expression 5^2
Answer:
25
Step-by-step explanation:
A piece of wire 2/5 m long is to be cut into six pieces of the same length what is the length of each piece
Answer:
each peice will be 1/15 m long.
Step-by-step explanation:
Answer:
you got this
Step-by-step explanation:your smart try to figure it out by yourself
Find the equation of a line containing the given points (2,6) and (5,3). Write the equation in slope-intercept form.
Answer:
Step-by-step explanation:
(3-6)/(5-2) = -3/3= -1
y - 6 = -1(x - 2)
y - 6 = -x + 2
y = -x + 8
Please help me. Please Please Please help me
Answer:
A is yes, and B is no
Step-by-step explanation:
Yes is a key word of A which means it is infact 48 and B is in fact no or 18 because of the discrete maths of espanol you can deprecate george washingtons face. And yes yes, it is gerla no yes maybe
1/2 (b - 10) + 2b = 25
Answer:
the answer is 12
Step-by-step explanation:
Simplify both sides of the equation.
12(b−10)+2b=25
(12)(b)+(12)(−10)+2b=25(Distribute)
12b+−5+2b=25
(12b+2b)+(−5)=25 (Combine Like Terms)
52b+−5=25
52b−5=25
add 5 to both sides.
52b−5+5=25+5
52b=30
multiply both sides by 2/5.
(25)*(52b)=(25)*(30)
b=12
Answer:
b=12
Step-by-step explanation:
1/2 (b - 10) + 2b = 25
Multiply each side by 2 to get rid of the fractions
2*1/2 (b - 10) +2* 2b = 25*2
b-10 +4b = 50
Combine like terms
5b -10 = 50
Add 10 to each side
5b -10+10 = 50+10
5b = 60
Divide by 5
5b/5 = 60/5
b = 12
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
x²+2-7x
Write the polynomial in standard form.
Answer:
x²-7x+2
Step-by-step explanation:
x²+2-7x in standard form is
x²-7x+2
PLEASE ANSWER QUICK!Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter, d=2r. Which formula should he use?
A) A=3.14(2r)^2
B) C=3.14(2r)
C) A=3.14d^3
D) C=3.14(2D)
Answer:
B.Step-by-step explanation:
The formula for the circumference is of a circle is: C = 2πr. ___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)find the value of x
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
First, note that the angles shown are vertical angles. In other words, the two equations are equivalent to each other.
Therefore, set the equations equal to each other and solve for x;
[tex]6x+7=8x-17[/tex]
Add 17 to both sides:
[tex]6x+24=8x[/tex]
Subtract 6x from both sides:
[tex]24=2x[/tex]
Divide both sides by 2:
[tex]x=12[/tex]
Therefore, the value of x is 12.
And we're done!
Answer:
12
Step-by-step explanation:
Look at the figure. Points C, D, E, and G are _______ points.
A. Coplanar
B. Collinear
C. Back
D. Hidden
Answer:
a. Coplanar
Step-by-step explanation:
To be coplanar means to be on the same plane. Since C, D, E, and G are on the same plane, they can be called coplanar. Back and Hidden are not math terms. Collinear means points lay on the same line
Answer: A. Coplanar
Step-by-step explanation:
Two hikers are 77 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 5.5 mph faster than the other.
The rate of the slower hiker is 1.1 mph and the rate of the faster hiker is 6.6 mph
Explanation
One hiker walks 5.5 mph faster than the other.
Suppose, the speed of the slower hiker is (x) mph.
So, the speed of the faster hiker will be:
(x+5.5)mph
Both hikers are walking toward each other and meet in 10 hours.
We know that, Distance = speed * time
So, the distance walked by the slower hiker in 10 hours = 10x miles and the distance walked by the faster hiker in 10 hours = 10(x + 5.5) miles.
Given that, they were 77 miles apart in the beginning. So the equation will be ...
10x + 10(x + 5.5) = 77
10x + 10x + 55 = 77
20x = 77 - 55 = 22
x = 22/20 = 1.1
Thus, the rate of the slower hiker is 1.1 mph and the rate of the faster hiker is (1.1 + 5.5) mph = 6.6 mph
5p-8/2=7p+4/2
Please help.
Answer:
p=-3
Step-by-step explanation:
Answer:
-4/2=2p
Step-by-step explanation:
5p - 8/2 = 7p +4/2
-5p -5p
-8/2 = 2p + 4/2
-4/2 -4/2
-4/2 = 2phope it helps =)The fastest pizza box folder can assemble 2 pizza boxes in 5 seconds. At this rate, how long would it take to assemble 20 pizza boxes?
Answer:
50 seconds in order to assemble 20 pizza boxes
Step-by-step explanation:
there are two ways to solve this the first way is divide 20 by 2 which is 10 and then multiply 10 by 5 the reason to this is because we know that for every 2 it takes 5 seconds.
the second way takes longer but you write:
2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
so here were basically writing the number 2 10 times because when u count that u can see that it equals 20 and then since for every 2 boxes it takes 5 seconds u put the 5 under each 2 so then you would count the 5s, like 5, 10 15, 20... and so on and u will see that its 50 which means 50 seconds.
Which represents the equation of the line? *
1 point
у
10
NA 0000
1 (2, 2)
-10-8
-4
12 4 6
8
-20
-2.
10
-4
(0, -4)
-6
10
Answer:
2
Step-by-step explanation:
Graph the function and select the y-intercept
y = 2 • 3^x
a. 1
b. 2
c. 3
d. 4
Answer:
For the graph see attached image.
The y-intercept is 2
Step-by-step explanation:
The requested graph of the function is included in the attached image.
The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):
[tex]y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2[/tex]
Answer:
To graph the function y = 2 • 3^x, we can start by identifying the y-intercept. The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0.
To find the y-intercept, we substitute x = 0 into the equation y = 2 • 3^x:
y = 2 • 3^0 = 2 • 1 = 2
Therefore, the y-intercept is 2, which corresponds to option (B).
HELP!
Factor x2 - x - 30.
1.( x - 7)( x - 3)
2.( x + 9)( x - 3)
3.( x + 5)( x - 6)
4.( x + 4)( x - 8)
Answer:
3.) (x + 5) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - x - 30
Hint: | Factor x^2 - x - 30 by finding two numbers whose product is -30 and whose sum is -1.
The factors of -30 that sum to -1 are 5 and -6. So, x^2 - x - 30 = (x + 5) (x - 6):
Answer: (x + 5) (x - 6)
A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting, and so on) at $59 comma 000 , and variable costs (printing, paper, binding, shipping) at $2.30 for each book produced. If the book is sold to distributors for $15 each, how many must be produced and sold for the publisher to break even ? The publisher must produce and sell ? books to break even.
Answer:
He needs to sell approximately 4331 books to break even
Step-by-step explanation:
Let the number of books to be produced be = y
Total cost of production ($)
= 55000+2.3(x)
Price of the book sold($)= 15
Total money from sales= 15(x)
For the publisher to break even, the cost must be equal to the total money from sales.
55000+2.3(x)= 15x
55000= 15x-2.3x
55000= 12.7x
55000/12.7= x
4330.71= x
He needs to sell approximately 4331 books to break even
Determine the payback period (in years) for a project that costs $120,000 and would yield after-tax cash flows of $20,000 the first year, $22,000 the second year, $25,000 the third year, $27,000 the fourth year, $31,000 the fifth year, and $37,000 the sixth year.
Answer: luis is 28
Step-by-step explanation:
first you need to set up an equation. if luis age is equal to four years added to colleens age we can substitute colleens age with a variable (i’m gonna use the letter c) and luis’s age for a different variable (i’ll use L). your equation would be C + 4 = L. our second equation would be both of their ages is equal to 52, giving us C + L = 52 as our equation. since our other equation tells us that what L equals (it would equal C plus 4), we can substitute out the L in the second equation for C + 4. the equations would change from C+L= 52, to C + C + 4 = 52. then we would solve like any regular equation for our variable. first we can simplify the 2 c’s together to get
2c + 4 = 52. next you would take your + four and do the opposite sign to both sides of the equation. so you do + 4 minus 4 and then 52 minus four. this leaves you with the equation 2c = 48. lastly you do the opposite function to both sides with your coefficient. you would do 2c divides by 2 (to cancel out your two because it’s being multiplied by c). and then 48 divided by 2 leaving you with C = 24. that tells us that colleens age is 24, and then you plug this into your first equation to get 24 + 4 = L telling you that luis’s age is 28. to fact check you would just add the two ages together to see if you got your total
number. these are called like two step equations with substitution i believe
Please urgent answer needed with steps
Answer:
43.3
Step-by-step explanation:
Area = Base * Height
Area = 7 * 6.2
Area = 43.3
Lee is sewing vests using 16 green buttons and 40 blue buttons. All the vests are identical, and all have both green and blue buttons. What are the possible numbers of vests Lee can make? What is the greatest number of vests Lee can make?
Answer:
you can make 8 vest
Step-by-step explanation:
2 of them are green and 3 are blue
Solve for w
-4+w = -10
Answer:
w = -6
Step-by-step explanation:
Adding 4 to both sides (we do this to get rid of the -4) gives us:
-4 + w + 4 = -10 + 4
w = -6
Answer:
[tex]\Huge \boxed{w=-6}[/tex]
Step-by-step explanation:
[tex]-4+w=-10[/tex]
To solve for [tex]w[/tex], we need to isolate the variable on one side of the equation.
Adding 4 to both sides.
[tex]-4+w+4=-10+4[/tex]
Simplifying the equation.
[tex]w=-6[/tex]
PLEASE HELP I WANNA Sleep BC it's midnight
Please answer both A and B
For Brainliest
Pick any of the two sides and set them equal to one another. So we'll have three different equations
4(x-1) = x+8
or
x+8 = 2x+4
or
4(x-1) = 2x+4
This works because in any equilateral triangle, the three sides are the same length.
--------------------------
If you're curious about the value of x, then we could do the following steps.
x+8 = 2x+4
2x+4 = x+8
2x-x = 8-4
x = 4
If x = 4, then
4(x-1) = 4(4-1) = 12x+8 = 4+8 = 122x+4 = 2*4+4 = 12Each side is 12 units long
Answer:
5-x=40+29 (x=69)
Step-by-step explanation:
30 Points! will mark brainliest. answer asap Two angles form a linear pair. The measure of one angle is 23 the measure of the other angle. Find the measure of each angle. Smallest angle: Largest angle:
Answer:
157 degrees
Step-by-step explanation:
the two angles should add up to 180 degrees, so 180 - 23 = 157
answer
smallest 72 and the largest 108
helllllp mee plzz plz tell me the answer asaP
Answer:
D 6 units
Step-by-step explanation:
the answer is d since the height times the side is the area and 6 times 4 is 24
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it take for the account to be worth $9,000? (3 points) a 21 years, 1 month b 18 years, 0 months c 19 years, 10 months d 9 years, 11 months
Answer:
d 9 years, 11 months
Step-by-step explanation:
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.
P = $5,960.32
Rate = 4.2%
Number of years = x
Final amount=$9000
Number of times compounded= x/2
A= p(1+r/n)^(nt)
9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)
9000= 5960.32(1+0.084/x)^x²/2
2(9000/5960.32)=(1+0.084/x)^x²
3.019972=((x+0.084)/x)^x²
On trial an error
The value of x is found to be approximately 9 year, 11 months
The value of the angle 5/4 π radians converted to degrees is:
Answer:
The answer is
[tex]225\degree[/tex]Step-by-step explanation:
In order to convert radians to degrees multiply the the value by
[tex] \frac{180\degree}{\pi} [/tex]So for the value above we have
[tex] \frac{5\pi}{4} \times \frac{180}{\pi} \\ = \frac{5 \times 180}{4} \\ = \frac{900}{4} [/tex]We have the final answer as
[tex]225\degree[/tex]Hope this helps you
Alma is 3 years older than Liz.
Let a = Alma's age.
Then ?
=
Liz's age.
Lucy
Answer:
12 hope you understand the answer
Answer:
A-3
Step-by-step explanation:
Since Alma is 3 years older than Liz then Liz would be A-3
If x = 2 and y = 4, then (2x + 3y) ÷ 4 - 2 = A) 10 B) 9 C) 8 D) 2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}[/tex]
Option D is the correct option.
Step-by-step explanation:
Given, x = 2 and y = 4
[tex] \sf{(2x + 3y) \div 4 - 2}[/tex]
plug the value of x and y
⇒[tex] \sf{ (2 \times 2 + 3 \times 4) \div 4 - 2}[/tex]
Multiply the numbers which are inside the bracket
⇒[tex] \sf{(4 + 12) \div 4 - 2}[/tex]
Add the numbers which are inside the bracket
⇒[tex] \sf{16 \div 4 - 2}[/tex]
Divide 16 by 4
⇒[tex] \sf{4 - 2}[/tex]
Subtract 2 from 4
⇒[tex] \sf{2}[/tex]
Hope I helped!
Best regards! :D
Answer:
2 (D)
Step-by-step explanation:
(2x+3y)÷4-2 you replace the variables with the matching numbers, and then multiply them by the number next to them.
(4+12)÷4-2 you add the numbers together
16÷4-2 you divide 16 by 4
4-2 you subtract to
2 this is your answer