Answer:
length of arc=80/360×2πr
88×360=80×2×22/7×r
31680×7/(80×2×22)=r
r=221760/3520=63
diameter=2r=2×63=126
3. International basketball competitions are played on a rectangular court where the length is 2x-2 and the width is x. If the perimeter of the court is 86 m. what are the dimensions of the court?
Answer:
28 m and 15 mStep-by-step explanation:
Perimeter formula is:
P = 2(l + w)Given:
l = 2x - 2 and w = xP = 86 mSubstitute and solve for x:
2(2x - 2 + x) = 863x - 2 = 43 3x = 45x = 15Then find the values of l and w:
l = 2*15 - 2 = 28 mw = 15 mAnswer:
length is 28m and width is 15m
Step-by-step explanation:
Let length = l
and width = b
According to the given condition,
l = 2b -2
Now,
Perimeter of a rectangle, P = 2(l+b)
According to question
P = 86
2(l+b) = 86
l + b = 43
2b -2 + b = 43
3b = 45
b =15
Therefore, l = 2x15 -2 = 28
So length is 28m and width is 15m
Can somebody please tell me the answer to this
Suppose a city with population 620,000 has been growing of a rate of 3% per year. If this rate continues, find the population of this city in 14 years
Answer:
937,806
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years. = ??
Po = Initial Population = 620,000
r = Growth rate = 3% = 0.03
t = Time in years = 14
P(t) = 620000 (1 + 0.03)¹⁴
P(t) = 620000(1.03)¹⁴
P(t) = 937805.62941
Approximately P(t) = 937,806
The population of the city in 14 years is 937,806
You need to exchange some of your U.S. Dollars for Australian dollars. For every U.S. Dollar, suppose you get $1.468 in Australian dollarys. If you already have $32.45 in Australian dollars, how much in U.S. Dollars do you need to exchange to have $766.45 in Australian dollars?
Answer: $500
Step-by-step explanation:
You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:
= 766.45 - 32.45
= A$734
1 USD gives A$1.468
The USD you will need is:
= 734/1.468
= $500
What are the solutions to 3n-1> 8 or 4n+3 < -1 ?
how would you write it in interval notation?
HELP ASAPPP PLZZZ
Step-by-step explanation:
3n - 1 > 8 or 4n + 3 < -1
3n > 9 or 4n < -4
n > 3 or n < -1
Solution set: (-∞, -1) U (3, ∞).
Given f(x)=2x+1, find x if f(x)=17
Given f(x)=x+3, find x if f(x)=6
find the values of z and y plssss
Answer:
z is 23 and i dont see a y
Step-by-step explanation:
Use the proportion. What is 72% of 150
Answer:
108
Step-by-step explanation:
150x0.72=108
Step-by-step explanation:
72% of 150
=> (72/100)×150
=> 10800/100 [ Because, 72×150=10800 ]
=> 108
Thus, 72% of 150 is 108.
Hope this helps you.
Simplify the expression by combining like terms: 5w - W - 16
Answer:
4w-16
Step-by-step explanation:
the only like terms in this equation are the w, so subtract them and you get 4w-16.
10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit
"Five times a number minus seven is equal to the opposite of eleven."
Answer:
- 4/5
Step-by-step explanation:
5X-7 = -11
+7 = -11+7
5X = -4
Divide 5 on both sides
= - 4/5
-3/4 x (-12)= I need help please this is hard
Answer:
9
Step-by-step explanation:
Hope this helps and have a great day : )
Answer:
hiiioiofffffrrrrrtttttttt
Represent each of the following as an algebraic inequality.
1. m is at most 15.
2. The sum of 8n and 3n is at least 20.
3. The product of y and z is less than or equal to 10.
4. 9 less than a number x is under 18.
5. The difference between b and 6 is no greater than 12.
how many solutions would there be for the following systems of equations
y=3x-5
6x-2y=10
Answer:
So the solution would be (1,-2). Remember you can always validate that the solution is correct by plugging it into both equations. But this is the same as the first equation, y=3x-5. Since they are the SAME line they will have infinite solutions.
Step-by-step explanation:
Sandy has 2 1/3 candy bars. She told her brother she will give him 1/2 of one of her candy bars. how much will she have left
A store manager at a local clothing store recorded the number of customers that visited the store each day for two weeks. 20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61 Make a stem and leaf plot that correctly show this data.
Answer:
STEM ______ Leaf
2 ______ 0 0 2 4
3 _______ 6 8
4 _______ 2 7
5 ______ 5 7
6 ______ 1 2 3 5
Step-by-step explanation:
Given that data:
20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61
STEM ______ Leaf
2 ______ 0 0 2 4
3 _______ 6 8
4 _______ 2 7
5 ______ 5 7
6 ______ 1 2 3 5
The unique numbers which starts each value is the stem while the second digit of each unique stem is the leaf.
On a certain hot summer's day, 340 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $537.50.How many children and how many adults swam at the public pool that day?
Answer:
190 children and 150 adults
Step-by-step explanation:
1. 1.25x + 2y = 537.5
2. x + y = 340
Here, x represents the children and y represents the adults.
Again, the first equation represent the cost of tickets, while the second represents the number of people.
From the above equation, we can solve for x and y
From equation 2,
x + y = 340
x = 340 - y
Substitute for x in equation 1
1.25x + 2y = 537.5
Then,
1.25(340 - y) + 2y = 537.5
Expand the bracket
425 - 1.25y + 2y = 537.5
Collect like terms
-1.25y + 2y = 537.5 - 425
0.75y = 112.5
y = 150.
To get the value of x, substitute for y in equation 2
x + y = 340
x + 150 = 340
x = 340 - 150
x = 190
Therefore,
There were 190 children and 150 adults at the pool that day
Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.
A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.
B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.
C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.
D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
It's on Gradpoint
Answer:
D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.
Step-by-step explanation:
Runner A:
Time it takes for him to finish:
t = 26.2/5.6 = 4.679 hours (to complete race)
.
Runner B:
Time it takes for him to finish:
t = 26.2/6.4 = 4.094 hours
BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.
t = 4.094 + .5 = 4.594 hours
I need the answer for -6p > 6
Answer:
p could be -2 or higher
Step-by-step explanation:
Answer:
p<−1
Step-by-step explanation:
-6 both sides
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
Answer:
May you send the picture of the provided graph number?
Step-by-step explanation:
Unable to answer without photo.
The equation [tex]y = 2x + 5[/tex] can be used to model the cost, y, that Johnny pays to use the online ordering service for his company, depending on the number of orders placed, x.
The constant term in the equation, 5, represents the fixed monthly fee Johnny has to pay regardless of the number of orders he places. The coefficient of x, 2, represents the additional cost per order. To graph this equation, we can plot points on a coordinate plane using different values of x and solve for y. Let's consider a few options: When x = 0 (no orders placed), [tex]y = 2(0) + 5 = 5[/tex] . So the point (0, 5) is on the graph. When x = 1 (one order placed), [tex]y = 2(1) + 5 = 7[/tex] . Therefore, the point (1, 7) is on the graph.
Suppose x = 3 (three orders placed), [tex]y = 2(3) + 5 = 11.[/tex] Hence, the point (3, 11) lies on the graph. Once we have a few points, we can connect them with a straight line. The graph will show that as the number of orders placed increases, the cost Johnny pays to use the online ordering service will also increase at a constant rate of $2 per order.
The line will have a positive slope and intercept the y-axis at (0, 5). In summary, the graph of the equation [tex]y = 2x + 5[/tex] represents the cost Johnny pays to use the online ordering service, with a fixed monthly fee of $5 and an additional charge of $2 per order placed.
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is the simplified form of x+1/x^2+x-6 / x^2+5x+4/x+4
Answer:
1/(x - 2) (x + 4)
Step-by-step explanation:
4-4.
Can someone please tell me whether its B or C?
I'm leaning towards B but a friend said C.
Answer:
B
Step-by-step explanation:
Your first instinct is correct. Plus, it says GAIN ==> +. Not LOSS ==> -.
Answer:
Step-by-step explanation:
Choice B is correct. It’s given that the helicopter’s initial height is 40 feet above the ground and that when the helicopter’s altitude begins to increase, it increases at a rate of 21 feet per second. Therefore, the altitude gain t seconds after the helicopter begins rising is represented by the expression 21 t. Adding this expression to the helicopter’s initial height gives the helicopter’s altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude: y equals, 40 plus 21 t.
Help me please I need it really bad.
Answer:
6500
Step-by-step explanation:
How to find volume: height x length x width
The larger box: 15 x 20 x 25= 7500
Smaller box: 10 x 10 x 10= 1000
Place the smaller box inside the larger box, which means the smaller box takes up space so you would subtract their volumes and get- 7500-1000=6500
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer: h = 14.5 ft
Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
i.e., the ratio of a side and the sin of its opposite angle is constant.
So, for this triangle, height is
[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]
[tex]h=\frac{14sin46}{sin44}[/tex]
[tex]h=\frac{10.07}{0.69}[/tex]
h = 14.51
Height of the main sail rounded to the nearest tenth is 14.5 ft.
hurry please what is 1+1
Answer:
2
Step-by-step explanation:
Hope this helps!! Have a blessed day!
Answer:
1 + 1 = 2
Step-by-step explanation:
This is because if you count on your fingers one and one, you get two. I hope this helps!!
Neeeeed helpppppp please
Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor = [tex]\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}[/tex]
= [tex]\frac{\text{Length of CD}}{\text{Length of GH}}[/tex]
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(-7-0)^2+(0+7)^2}[/tex]
= [tex]\sqrt{98}[/tex]
= [tex]7\sqrt{2}[/tex]
Length of GH = Distance between G(0, -1) and H(-1, 0)
= [tex]\sqrt{(-1-0)^2+(0+1)^2}[/tex]
= [tex]\sqrt{2}[/tex]
Scale factor = [tex]\frac{7\sqrt{2} }{\sqrt{2} }[/tex]
= 7
~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~
Answer:
b 19
Step-by-step explanation:
Answer:
the answer is 19, B.
Step-by-step explanation:
this is my first time answering a question. i hope this helps you.
Solve by the substitution method. 8x + 9y=56 -9x + y = 26
Answer:
(-2,8)
Step-by-step explanation:
8x + 9y=56
-9x + y = 26
---------------------------------------------------------------------------------
-9x + y = 26
+9x = +9x
y = 9x + 26
---------------------------------------------------------------------------------
8x + 9(9x+26) = 56 <-- substitute for y from above
8x + 81x + 234 = 56
89x + 234 = 56
- 234 = - 234
89x = - 178
x = -2 <--- we got the x value!!
--------------------------------------------------------------------------------
-9x + y = 26
-9 (-2) + y = 26 <-- substitute for x from above
18 + y = 26
- 18 = - 18
y = 8 <-- we got the y value!!
Two cars travel at the same speed to different destinations. Car A reaches its destination in 20 minutes. Car Breaches its destination in 38
minutes. Car B travels 8 miles farther than Car A. How fast do the cars travel?
Answer:
29mph
Step-by-step explanation:
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answer:
Its C i just took the test and got this right!!!
Step-by-step explanation:
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.
5² = 4² + 3²
25 = 16 + 9
25 = 25
The side 3 cm and 4 cm is normal to each other.
Then the correct option is C.
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