Answer:
24 meters
Step-by-step explanation:
The area of a circle can be found using the following formula.
[tex]a=\pi r^2[/tex]
We know that the area is 144pi m^2.
[tex]a= 144\pi m^2[/tex]
Substitute 144pi m^2 in for a.
[tex]144\pi m^2= \pi r^2[/tex]
We want to find the diameter. First, we must find the radius. We have to get the variable, r, by itself.
Divide both sides of the equation by pi.
[tex]144\pi m^2/ \pi = \pi r^2 / \pi[/tex]
[tex]144\pi m^2/ \pi = r^2[/tex]
[tex]144 m^2= r^2[/tex]
The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.
[tex]\sqrt{144 m^2} =\sqrt{r^2}[/tex]
[tex]\sqrt{144 m^2} =r[/tex]
[tex]12 m= r[/tex]
The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.
[tex]d= r*2[/tex]
The radius is 12 m.
[tex]d= 12 m*2[/tex]
Multiply
[tex]d= 24 m[/tex]
The diameter of the circle is 24 meters.
I need help on this can someone help
Answer:
1:3
Step-by-step explanation:
[tex]3:9\\= 1: 3[/tex]
Answer:
1 : 3
Step-by-step explanation:
pears : apples
3 9
Divide each side by 3
3/3 9/3
1 : 3
can i help please??? :) Is 3.22×10 to the 4 power equal to 32,200?
Answer:
Yes
Step-by-step explanation:
we move the decimal point 4 times to the right
1st time
32.2
2nd time
322
3rd time
3220
4th time
32,200
Answer:
No
Step-by-step explanation:
3.22 x 10 = 32.2
32.3 to the fourth power = 107.50
107.50 < 32,200
Therefore it is not equal to 32,200
Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC.
Answer:
20
Step-by-step explanation:
If point B is on line segment AC, then we know for sure AB + BC = AC.
To understand this better, draw a line segment, then put a point anywhere on the line segment. There are two line segment divided by that point. If you combine those two line segments then you have your original figure.
So 11 + 9 = 20.
A boy weighing blank kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is blank joules.
Answer:
His kinetic energy at the faster speed is 160 J
Step-by-step explanation:
Here in this question, we are interested in calculating the kinetic energy at the faster speed.
Firstly, we need to know the mass of the boy’s body. We can do this by using the kinetic energy formula;
Mathematically;
K.E = 1/2 * m * v^2
From the question;
K.E = 40 Joules
m = ?
v = speed = 2 m/s
Now, plugging these values into the kinetic energy equation, we have;
40 = 1/2 * m * 2^2
40 = 1/2 * m * 4
40 = 4m/2
4m = 40 * 2
4m = 80
m = 80/4
m = 20 kg
Now that we know the mass of the boy’s body, we can proceed to calculate the new K.E
Let’s follow the third statement in the question;
We were told that he doubles his speed upon sighting his friend.
Recall, he was traveling at a speed of 2 m/s.
Now doubling this means the new speed will
be 2 * 2 = 4 m/s
Now, we want to calculate the kinetic energy value at this new speed.
Mathematically, we use the same formula for kinetic energy.
K.E = 1/2 * m * v^2
We know that m is the mass that we calculated as 20kg and our v here is 4 m/s
Plugging these values, we have;
K.E = 1/2 * 20 * 4^2
K.E = (20 * 16)/2
K.E = 320/2
K.E = 160 J
Answer:
A boy weighing 20 kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is 160 joules.
7.006 x 10^-3 in standard notation
Answer:
7.006*10⁻³ = 0.007006
Step-by-step explanation:
7.006*10⁻³ = 0.007006
please help me on this
Answer:
if an angle measures more than 90 degrees, then the angle is obtuse
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.
Step-by-step explanation:
The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.
Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.
Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.
Thus, m<CBD = 55°, which is ½ of m<arc CD.
m<arc CD = 110° = m<CAD.
m<CBD = ½ of m<CAD = 55°.
The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."
rewrite 1/5:1/2 as a unit rate
Hey there! I'm happy to help!
The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.
To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.
0.2/0.5(2/2)=0.4/1
Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.
Have a wonderful day! :D
Please Solve this, it would be extremely helpful for me.
[tex]{\tt{\fbox{\red{Trigonometry}}}}[/tex]
In the figure given below,
AB ll EF ll CD. If AB = 22.5 cm,
EP = 7.5 cm, PC =15 cm and
DC = 27 cm. Calculate:
(i) EF (ii) AC
Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }
[tex]\frac{DC}{EF} =\frac{PC}{EP}\\\\\\\frac{27}{EF}=\frac{15}{7.5}\\\\[/tex]
Cross multiply
EF * 15 = 27 * 7.5
[tex]EF =\frac{27*7.5}{15}\\\\[/tex]
EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles
[tex]\frac{AB}{EF}=\frac{AC}{EC}\\\\\frac{22.5}{13.5}=\frac{AC}{22.5}[/tex]
[tex]AC= \frac{22.5*22.5}{13.5}\\\\AC=37.5 cm[/tex]
AC = 37.5 cm
c) If the spinner is spun another 1000 times,
about how many times would you expect it to land on green? If the probability of it is 39/300
Answer:
130
Step-by-step explanation:
Probability of green:
P= 39/300Number of attempts:
1000Expected number of landing on green:
Expected frequency = probability × number of trials1000*39/300 = 130 timesAnswer: 130 times
How many positive even factors of 48 are greater than 24 and less than 48
Answer: 0
Work Shown:
Factors of 48 = {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}
Erase the odd numbers of that list to get {2, 4, 6, 8, 12, 16, 24, 48}
Then highlight stuff that is greater than 24, and less than 48 at the same time.
No factors fit this description since 24 cannot be larger than itself, and 48 cannot be smaller than itself.
Answer: 0
Step-by-step explanation:
There is no number greater than 24 and less than 48.
What effect will replacing x with (x – 7)have on the graph of the equation y = = (x + 4)??
A. slides the graph 3 units down
B. slides the graph 3 units up
C. slides the graph 7 units right
D. slides the graph 3 units right
Answer:
D
Step-by-step explanation:
When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.
When you replace x with (x-7) the equation will be converted into
y = ((x-7)+4)
y = x-3
When you graph this you see it has a x-intercept of 3 and a y-intercept of -3
To find the distance add the 2 x values together:
-4 + (-3) = ?
-4 -3 = ?
-7 = ?
Therefore the graph will shift units right
Simplify
[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{ {x}^{2} - 4} [/tex]
I will mark it as the brainliest please answer this question
Answer:
The answer is
[tex] \frac{ {x}^{2} + 2x}{2x - 4 } [/tex]Step-by-step explanation:
[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{x^{2} - 4} [/tex]
To simplify , factorize
x² - 4x + 4 and x² - 4
For x² - 4x + 4
Write - 4x as a difference
x² - 2x - 2x + 4
x( x - 2) - 2(x - 2)
(x - 2)(x - 2)
For x² - 4
use the formula
a² - b² = ( a+b)( a - b)
That's
x² - 4 = (x + 2)(x - 2)
So now we have
[tex] \frac{7xy}{(x - 2)(x - 2)} \div \frac{14y}{(x + 2)(x - 2)} [/tex]Change the division sign to multiplication sign and reverse the second fraction
That's
[tex] \frac{7xy}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{14y} [/tex]Simplify
We have
[tex] \frac{x}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{2} [/tex]Reduce the expression with x + 2
That's
[tex] \frac{x}{x - 2} \times \frac{x + 2}{2} [/tex]Multiply the fractions
[tex] \frac{x(x + 2)}{2(x - 2)} [/tex]We have the final answer as
[tex] \frac{ {x}^{2} + 2x }{2x - 4} [/tex]Hope this helps you
Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation -x^2 - 6x + 6 = 0
Completing the square leads to the equivalent equation
-(x + ___ )^2 = ___
Answer:
-(x + 3)^2 = -15
Step-by-step explanation:
:) got it right
Convert into slope-intercept form: [tex]y-1=m(x-3)[/tex]
Answer:
y=2x-5
Step-by-step explanation:
First simplify: y-1=2x-6
y-1=2(x-3)
First simplify and distribute everything.
y-1=2x-6
So, x equals 2 because it got distributed into the numbers inside the parenthesis. Same with the 2 and -3. They multiplied to become -6.
Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.
y - 1 (+ 1) = 2x -6 (+ 1)
-1(+1)=0 which leaves just the variable y on the left side.
-6(+1)=-5 which leaves 2x-5 on the right side.
This results in y=2x-5. Hope this helped ;)
Answer:
y = 2x - 5
Step-by-step explanation:
y - 1 = 2(x - 3)
y - 1 = 2x - 6
y - 1 + 1 = 2x -6 + 1
y = 2x - 5
What is 100,000+4,000+800+5 in standard form
Answer: 104,805
Step-by-step explanation:
just add
Answer:
104,805
Step-by-step explanation:
add it in each placement form
PLEASE HELP! I WILL GIVE BRAINLIEST (8.02 MC) A pair of equations is shown below: y = 7x − 9 y = 3x − 1 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
Answer:
Step-by-step explanation:
slope intercept form: y=mx+b
m= slope
b= y-intercept
y= 7x - 9
slope= 7
y-int.= -9
y= 3x - 1
slope 3
y-int.= -1
7x-9 = 3x-1
Add 9 to both sides: 7x = 3x +8
Subtract 3 from both sides: 4x = 8
Divide by 4 on both sides: x =2
Substitute 8 into the equation: y = 3(2) -1
y = 5
Solution: (2,5)
divide the sum of -5,-10 and -9 by the product of 2 and -3
Answer: 1/4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
=(-5)+(-10)+(-9)/2*(-3)
=-5-10-9/-6
=-24/-6
=4 ans.....
Find the coordinates of the midpoint of the segment given its endpoints.
3. A (5, 8 ) and B(-1,-4)
Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ [tex]\frac{1}{2}[/tex] (5 - 1), [tex]\frac{1}{2}[/tex] (8 - 4 ) ] = (2, 2 )
[tex]12 \times \frac{5}{6} - 14x + \frac{1}{6} x[/tex]
can anyone help me solve this !
Answer:
x = 60/83
Step-by-step explanation:
Solve for x:
10 - (83 x)/6 = 0
Put each term in 10 - (83 x)/6 over the common denominator 6: 10 - (83 x)/6 = 60/6 - (83 x)/6:
60/6 - (83 x)/6 = 0
60/6 - (83 x)/6 = (60 - 83 x)/6:
(60 - 83 x)/6 = 0
Multiply both sides of (60 - 83 x)/6 = 0 by 6:
(6 (60 - 83 x))/6 = 6×0
(6 (60 - 83 x))/6 = 6/6×(60 - 83 x) = 60 - 83 x:
60 - 83 x = 6×0
0×6 = 0:
60 - 83 x = 0
Subtract 60 from both sides:
(60 - 60) - 83 x = -60
60 - 60 = 0:
-83 x = -60
Divide both sides of -83 x = -60 by -83:
(-83 x)/(-83) = (-60)/(-83)
(-83)/(-83) = 1:
x = (-60)/(-83)
Multiply numerator and denominator of (-60)/(-83) by -1:
Answer: x = 60/83
Which statement correctly compares
1–201 and
1512
ol-201 = 151
ol-201 < 51
l-201 > 151
Answer:
Option B.
Step-by-step explanation:
Consider the correct question is "Which statement correctly compares
1. -201 and 151
-201 = 151
-201 < 51
-201 > 151"
The given numbers are -201 and 151. We need to compare these numbers.
We know that all negative numbers are less than positive numbers.
So,
-201 < 151
If both numbers are negative, then the larger negative number is the smaller number.
Therefore, the correct option is B.
4x=24 solve equation
Answer:
x=6
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-(24)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x - 24 = 4 • (x - 6)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true
2.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
One solution was found :
x = 6
Answer:
x= 24/ 4
Step-by-step explanation:
You can simplify it
x= 6/1 which is x= 6
what seven divided by 4
Answer:
7 divided by 4 is 1 ¾ as a fraction, or 1.75 as a decimal.
Step-by-step explanation:
Pls mark as brainliest answer
The calculated division of the numbers seven divided by 4 is 1 3/4
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
seven divided by 4
When represented as an equation, we have
seven divided by 4 = 7/4
Divide 7 by 4
So, we have the following result
seven divided by 4 = 1 3/4
Using the above as a guide, we have the following:
the result is 1 3/4
Read more about quotient at
brainly.com/question/11418015
#SPJ6
really urgent...i need the working also ...pls help me
Answer:
See below.
Step-by-step explanation:
In each case, you are looking for time. We know speed is distance divided by time. Lets start with the speed formula.
speed = distance/time
Now we solve it for time. Multiply both sides by time and divide both sides by speed.
speed * time = distance
time = distance/speed
Time is distance divided by speed. In each problem, you have a speed and a distance. Divide the distance by the speed to to find the time.
1) speed = 44.1 km/h; distance = 150 km
time = distance/speed = 150 km/(44.1 km/h) =
= 3.401 hours = 3 hours + 0.401 hour * 60 min/hour = 3 hours 24 minutes
2) speed = 120 km/h; distance = 90 km
time = distance/speed = 90 km/(120 km/h) =
= 0.75 hours = 0.75 hour * 60 min/hour = 45 minutes
3) speed = 125 m/s; distance = 500 m
time = distance/speed = 500 m/(125 m/s) =
= 4 seconds
The chance of Jake winning a 100m race is 3/5. What is the probability of him losing the same race?
Answer:
2/5 (because the chance winning the race is 3/5 and the remaining is 3/5 when we add 3/5 , 2/5 the answere is 5/5 when we subtract 3/5 from 5/5 the answere is 2/5
Which equation can be used to solve for x in the following diagram?
PLS ANSWER I NEED HELP BRAINLIST AND A THANK YOU WILL BE REWARDED
Answer:
D. 4x+5x=180
Step-by-step explanation:
Answer:
D. 4x + 5x = 180
Step-by-step explanation:
The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.
4x + 5x = 180
9x = 180
x = 20°
Hope that helps.
The Side-Side-Side Similarity Postulate states that if the sides of one triangle are congruent to the sides of another triangle, then the triangles are similar. True or False?
Answer:
Hey there!
This is false, because if the sides of one triangle are congruent to the sides of another, then the triangles are actually congruent. The Side-Side-Side similarity theorem states that if all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.
Hope this helps :)
HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?
Answer:
33
Step-by-step explanation:
For every 5 squares, two are red and three are green. So 3/5 of the squares are green.
3/5x55=33
SP=2x+3, and LN=5x−14. Find SP. A. 20 B. 86 C. 43 D. 50
Answer:
C
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is half the length of the third side.
SP is a midline segment, thus
SP = [tex]\frac{1}{2}[/tex] LN , that is
2x + 3 = [tex]\frac{1}{2}[/tex] (5x - 14) ← multiply both sides by 2
4x + 6 = 5x - 14 ( subtract 4x from both sides )
6 = x - 14 ( add 14 to both sides )
20 = x
Thus
SP = 2x + 3 = 2(20) + 3 = 40 + 3 = 43 → C
Convert the following:
1 meter is equivalent to
ao feet (rounded to the nearest hundredth)
Answer:
1 meter = 3.28 feet
Step-by-step explanation:
The unit of conversion from meters to feet is given as follows;
By convention
1 yard = 09144 meters
1 yard = 3 feet
Therefore, we have;
1 foot = 0.9144/3 = 0.3048 m
Alternatively we can get;
1 inch = 0.0254 meters
1 foot = 12 inches
Therefore, we have;
1 foot = 12 × 0.0254 = 0.3048 meter
Which gives;
1 foot = 0.3048 meter
Given that 0.3048 meter = 1 foot, to find the measure of 1 meter, we proceed by dividing both sides of the equation by 0.3048 to get
0.3048/0.3048 meter = 1/0.3048 foot = 3.28084 feet
1 meter = 3.28084 feet. ≈ 3.28 feet to the nearest hundredth
