Answer:
72π (I think)
Step-by-step explanation:
Think of it in terms of the entire circle. A semi-circle is just half a circle, so the area of a semicircle will be half of the area of the entire circle. The radius of the semicircle is 6, so the radius of the whole circle is 12. Then, we can do [tex]\frac{pi*r^{2} }{2}[/tex] to get the area of the semicircle is 72π. I'm pretty sure that's right. Let me know if I made a mistake somewhere.
what is the solution to this system of linear equations 2x +y =1 3x -y= -6
Answer:
x= -1 y=3
Step-by-step explanation:
Answer:
x = -1
y = 3
Step-by-step explanation:
2x +y =1 3x -y= -6
Add the two equations together to eliminate y
2x +y =1
3x -y= -6
------------------
5x = -5
Divide by 5
5x/5 = -5/5
x = -1
2x+y = 1
2(-1) +y = 1
-2 +y =1
Add 2 to each side
y = 1+2
y =3
Does anyone know how to solve this?
Answer:
Perimeter = AB + AC + BC = 26.55 units
Step-by-step explanation:
The perimeter of a triangle is the sum of lengths of all sides.
Here we have a right triangle, right-angled at C
angle B = 46°
AB = 11
We continue to calculate
AC = (11)sin(46°) = 7.91
BC = (11)cos(46°) = 7.64
Perimeter = AB + AC + BC = 26.55 units
A box contains colored pencils. The probability of drawing 2 green pencils at random without replacement is 11/295, and the probability of drawing 1 green pencil is 1/5. What is the probability of drawing a second green pencil given that the first pencil drawn is green?
Answer:
it still 11/295
Step-by-step explanation:
Plot the four points on the number line below
-1/3 1 2/3 2/3 1 1/3
Answer:
Step-by-step explanation:
Solve each proportion.
6/n-6 = 8/n
* please show the work too!
9514 1404 393
Answer:
n = 24
Step-by-step explanation:
Multiply the given equation by the product of denominators. Then subtract 6n and go from there.
[tex]\dfrac{6}{n-6}=\dfrac{8}{n}\\\\6n=8(n-6)\qquad\text{rid of fractions}\\\\0=2n-48\qquad\text{subtract 6n, simplify}\\\\0=n-24\qquad\text{divide by 2}\\\\\boxed{24=n}\qquad\text{add 24}[/tex]
_____
Alternate solution
Any proportion can be written 4 ways. If we write this one "sideways," we have ...
6/8 = (n -6)/n
1 -1/4 = 1 -6/n . . . . . expand in parallel fashion
6/n = 1/4 . . . . . . . . subtract 1, multiply by -1
n = 24 . . . . . . . . . multiply by 4n
__
Another alternate solution (can be done mentally)
The above "sideways" proportion can be reduced to ...
3/4 = (n -6)/n
The difference between values on the left is 1 unit. On the right, the difference between values is 6. (The numerator is 6 less than the denominator.) The denominator on the left (4) is 4 times the difference, so the denominator on the right (n) will likewise be 4 times the difference: n = 4·6 = 24. Check: 3/4 = 18/24.
Can someone help me define these triangles.
Answer:
Scalene: F, B
Equilateral: H, D, C
Isosceles: G, E, A,
Hope this helped!
What is the measure of angle 4 if angle 1 = 76 degrees, angle 2 = 27 degrees and angle 3 = 17 degrees
Answer:
Step-by-step explanation:
∠1 + ∠2 + ∠3 + a = 360 {Sum of all angles of quadrilateral}
76 + 27 + 17 + a = 360
120 + a = 360
a = 360 -120
a = 240°
a + ∠4 = 360
240 + ∠4 = 360
∠4 = 360 - 240
∠4 = 120°
Jordana drew the function below. Which statement correctly explains whether or not her function is linear? On a coordinate plane, a parabola opens up.
Answer:
D. It is not linear because it does not have a constant rate of change.
Step-by-step explanation:
Given
See attachment for graph
Required
Linear or not? and why
Linear functions have constant slopes (i.e. constant rates of change)
The attached function is a curve, and curves do not have constant slope.
Hence, we can conclude that the function is not linear because it does not have a constant slope.
A ball is dropped from a height of 20 feet. The ball rebounds to 80% of its previous height. Let n represent
the number of bounces of the ball.
a. h=20(.20)^n
b. h=20(.80)n
c. h=20(.80)^n
d. h=20(1.80)^n
Answer:
[tex]H=20(0.8)^{n}[/tex]
Step-by-step explanation:
So, lets just go over this step by step and make sense of it.
20 clearly must be what we start with, and as you see in your answers, all of them have that as the number you multiply the parethese by.
Its what next that we dont know about.
We know that the ball rebounds 80% of its previous height.
It for sure cannot be a or d because a would mean that it would only rebound 20% of its height, and d would mean that it rebound 180% of its height.
Its now between b and c.
Lets just think about it.
Pull out your calculator or pull it up on your electronic. Multiply 10 by 0.9. This will get you 9. Multiply 9 again by 0.9, and youll get 8.1.
What did we actually do there? We did 10*0.9^2
Pull out your calculator again and try 10* 0.9^2. Youll see that 0.9 squared is 0.81. This times 10 is 8.1, and that is exactly what you got before.
Understanding this, it is clear that we must use an exponent to fidn future values.
In answer b, it shows that you can just multiply by n.
In answer c however, it uses n as an exponent, which is the correct thing to do.
So c is your answer.
The actual formula for this is: [tex]first_.term(change)^t^e^r^m ^[/tex]
The first term in this case is the first height, which is 20. The change is a rebound of 80%(0.8).
The term is just n, but in most problems n is time.
Hope this helps!
You have 90 degree triangle and the adjacent is 24, the opposite is 32, and the hypotenuse is 40. What is the value of tan W rounded to the nearest hundredth, if necessary.
Answer:
sorry need points Step-by-step explanation:
sorry need points sorry need points
Write the equation of the graph below.
Answer:
-x²+8x-15
Step-by-step explanation:
There are two solutions: 3 and 5
First, let's write the equation in this form (pay attention, the parabola here is going up so it won't be like your graph):
(x-3)(x-5)
For resolve our problem, let's re-write it with a minus before:
-(x-3)(x-5)
You can also expand it and the result will be like this:
-x²+8x-15
Campus sold 400 tickets to a varsity basketball game. Tickets are were $5 for students / children tickets and $9 for adults. The total ticket receipts for the game were $2,632. Using x for student/children tickets and y for adult tickets ; write a system of equations for this scenario.
Answer:
x + y = 400
5x + 9y = 2632
Step-by-step explanation:
The question is.. "The expression 5(3r - 10) means the product of 5 and the difference of three times r minus 10. If r = 4, the value of the expression is [?] This is 6th grade math and im kinda stuck here
Answer:
10
Step-by-step explanation:
5(3r - 10)
Let r = 4
5(3*4 - 10)
5( 12 - 10)
5 (2)
10
Answer:
10
Step-by-step explanation:
5(3r-10)
5(3(4)-10)
so forget the 5 and solve inside first
3*4= 12
12-10= 2
now bring the 5 back and multiply
5*2= 10
Tyler has $600 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $233.09. He buys 3 bicycle reflectors for $16.38 each and a pair of bike gloves for $29.13. He plans to spend some or all of the money he has left to buy new biking outfits for $52.48 each. Write and solve an inequality which can be used to determine xx, the number of outfits Tyler can purchase while staying within his budget.
Answer:
x ≤ 5.5
Step-by-step explanation:
Amount with Tyler = $600
Cost of new bicycle = $233.09
Cost of 3 bicycle reflectors = $16.38 * 3
= $49.14
Cost of bike gloves = $29.13
Cost of biking outfit = $52.48
Number of biking outfit = x
233.09 + 49.14 + 29.13 + 52.48x ≤ 600
311.36 + 52.48x ≤ 600
52.48x ≤ 600 - 311.36
52.48x ≤ 288.64
x ≤ 288.64/52.48
x ≤ 5.5
Number of biking outfit = x
x ≤ 5.5
Find the measure Of
Answer:
'
[tex] \sin(a) = \frac{7}{25} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.28 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {16}^{0} {15}^{'} [/tex]
THE ANSWER IS FIRST OPTION
hihihihihihihihihihihi
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiii
Find the distance that the points is given on the graph ?
From the graph, the given points are (2,-1) and (4,0). Use the distance between two points formula:
[tex] \large \boxed{ \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }[/tex]
Substitute these points in the formula.
[tex] \large{ \sqrt{ {(2 - 4)}^{2} + {( - 1 - 0)}^{2} } } \\ \large{ \sqrt{ {( - 2)}^{2} + {( - 1)}^{2} } } \\ \large{ \sqrt{4 + 1} \longrightarrow \sqrt{5} }[/tex]
Hence, the distance is √5
Answer
√5Please help last two problems
Answer:
x-5
x-2
Step-by-step explanation:
Questions 1:
√(x²-10x+25)
x²-10x+25= (x-5)²
√(x-5)²= x-5
question 2:
x²-4x+4= (x-2)²
√(x-2)²= x-2
Any genius out there to solve this?
which is the missing number in the sequence below?
5,6,9,15,?,40
Answer:
25
Step-by-step explanation:
The pattern is + 1, + 3, + 6,... i.e. + 1, + (1 + 2), + (1 + 2 + 3),...
.'. Missing number = 15 + (1 + 2 + 3 + 4) = 25.
Answer: 25!
Step-by-step explanation:
5, 6, 9, 15, ?, 40
5 + 1 = 6
6 + 1 + 2 = 6 + 3 = 9
9 + 1 + 2 + 3 = 9 + 6 = 15
15 + 1 + 2 + 3 + 4 = 15 + 10 = 25
25 + 1 + 2 + 3 + 4 + 5 = 25 + 15 = 40
Which expression is equivalent to this expression?
2² x 36
34
Answer:
2³x3²
Step-by-step explanation:
(2³x3⁶)/3⁴
2³x3⁶^-4
= 2³x3²
using quadratic equation
Answer:
Step-by-step explanation:
[tex]\frac{x+6}{x+7}-\frac{x+1}{x+2}=\frac{(x+6)*(x+2)}{(x+7)*(x+2)}-\frac{(x+1)(x+7)}{(x+2)(x+7)}\\\\[/tex]
USE FOIL method
(x +6)(x + 2) = x*x + x*2 +6*x +2*6
=x² + 2x + 6x + 12 {Combine like terms}
= x² + 8x + 12
(x+ 7)(x + 2) = x*x+ x*2 +7*x + 7*2
= x² +2x+ 7x + 14
= x² + 9x + 14
(x+1)*(x +7) = x*x + x *7 + 1*x + 1*7
=x² + 7x +x + 7
=x² + 8x + 7
[tex]\frac{x+6}{x+7}-\frac{x+1}{x+2}=\frac{(x+6)*(x+2)}{(x+7)*(x+2)}-\frac{(x+1)(x+7)}{(x+2)(x+7)}\\\\\\ =\frac{(x+6)*(x+2) - [(x+1)(x+7)]}{(x+2)(x+7)}\\\\\\= \frac{x^{2}+8x+12 -[x^{2}+8x+7]}{x^{2}+9x+14}\\\\\\=\frac{x^{2}+8x+12-x^{2}-8x-7}{x^{2}+9x+14}\\\\=\frac{5}{x^{2}+9x+14}\\\\\\\\\frac{x+6}{x+7}-\frac{x+1}{x+2}=\frac{1}{3x+1}\\\\\frac{5}{x^{2}+9x+14}=\frac{1}{3x+1}\\\\[/tex]
Cross multiply,
5*(3x+1) = x² + 9x + 14
5*3x + 5*1 = x² + 9x + 14
15x + 5 = x² + 9x + 14
x² + 9x + 14 - 5x - 5 = 0
x² + 9x - 5x + 14 - 5 = 0
Combine like terms
x² + 4x + 9 = 0
a = 1 ; b = 4 ; c = 9
D = b² - 4ac
= 4² - 4*1*9
= 16 - 36
= -20
= 20i² {i² = -1}
√D = √20i² = [tex]\sqrt{2*2*5*i*i}=2i\sqrt{5}[/tex]
[tex]x = \frac{-b+\sqrt{D}}{2a} \ or \frac{-b-\sqrt{D}}{2a}\\\\\\x= \frac{-4+2i\sqrt{5}}{2} \ or \frac{-4-2i\sqrt{5}}{2}\\\\x = \frac{2*(-2+i\sqrt{5})}{2} \ or \frac{2*(-2-i\sqrt{5}}{2}\\\\x = -2 +i\sqrt{5} \ or -2-i\sqrt{5}[/tex]
31.8÷3
I know that 31.8÷3 equal 10.6 but why
Answer: The answer’s in the picture
Step-by-step explanation:
Answer:
Through long-division, I'll upload an image
Step-by-step explanation:
If the equation is solved, which is true?
A
If -13m = -12, then m = = 0.9
B
If -13m = -12, then m = -0.9
If -13m = -12, then m
1.08333...
D
If -13m = -12, then m = = 25
Answer:
A
Step-by-step explanation:
-13m = -12
m = 12/13 = 0.92
Twice a number (z) added to 21 is equal to 9 times the number added to 7. What is the number?
Answer:
The number is 2
Step-by-step explanation:
Twice a number (z) = 2*z = 2z
Twice a number (z) added to 21 = 2z + 21
9 times the number added to 7 = 9z + 7
9z + 7 = 2z + 21
Subtract 2z form both sides
9z - 2z + 7 = 21
7z + 7 = 21
Subtract 7 from both sides
7z = 21 - 7
7z = 14
Divide both sides by 7
z = 14/7
z = 2
Solve the equation −7t−1=20
Answer:
hello
Step-by-step explanation:
-7t-1=20
-7t=20+1
-7t=21
t=21÷(-7)
t=-3
-7×(-3)-1=20
have a great dayyyy
dont answer if you dont have the answer I will report you The graph of a function contains the points (–1, –4), (0, 1), (1, 4). Is the function linear? Explain.
1. The function is linear because the points are not in a straight line.
2. The function is linear because the graph containing the points is not a straight line.
3. The function is linear because the points are in a straight line.
4. The function is not linear because the graph containing the points is not a straight line.
Answer:
The function is linear because the points are not in a straight line.Points that lie along the same line are said to be "collinear" and collinear points must have the same slope between any pair of points.
~ƒöᏝϗʆѻʁᶥąռ¹₃
[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]
The answer will be option 1 :-
The function is linear because the points are not in a straight line.Well, for a straight line the points formed are known as collinear points & the points given ->( -1, –4), (0, 1), (1, 4) are not collinear as they are not formed in the same line of the graph. Also, graphs have straight lines. From this we can see that none of the other options work. Hence, option 1 is the correct answer (✓).
_________
Hope it helps.
RainbowSalt2222
The perimeter of a rectangular field is 60 m.
What are three possible measurements
of the field? Use dimensions to the
nearest meter.
Answer:
10m by 20m
12 m by 18 m
14m by 16m
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
60 = 2(l+w)
Divide each side by 2
30 = l+w
Let l = 10
Then w = 30 - 10 = 20
Let l = 12 then w = 30 - 12 = 18
Let l = 14 then w = 30 -14 = 16
In the circle above, Line EF and CD intersect at G. Determine the measure of arc DE.
please help me
Answer:
100
Step-by-step explanation:
It is a rule that for two opposite arcs, with intersecting lines, between them, the average of the arcs is equivalent to the inside angle. Given this, we can say that:
(CF + ED)/2 = angle G
plug values in
(12x+9x+10)/2 = 110
multiply both sides by 2
21x + 10 = 220
subtract 10 from both sides
21x = 210
divide both sides by 21
x=10
Plug this into DE
10*9+10 = 100
Points A(2,2) and B(7,14) are two vertices of an equilateral
triangle. What is the perimeter of the triangle?
Answer:
poi nts
Step-by-step explanation:
7
John works a fortnightly wage of $750.00. If his basic week is 40 hours. what is his: Weekly wage basic rate and basic fortnight??
Answer:
Basic wage rate = $9.375 per hour
Step-by-step explanation:
Given :
Fortnight wage = $750
Basic week, hours worked per week = 40 hours
Weekly basic wage rate :
Fortnight = 2 weeks
Hence, weekly wage = fortnight wage / 2 = 750 /2 = $375
Weekly basic wage rate = $375 / Number of hours worked per week = $375 / 40 = $9.375 per hour