Answer:
Total length of the first swing=64 m
Step-by-step explanation:
The total length of all four swings can be expressed as; Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing
where;
Total length of all 4 swings=175 m
Length of first swing=x
Length of second swing=75% of length of first swing=(75/100)×x=0.75 x
Length of third swing=75% of length of second swing
Length of third swing=(75/100)×0.75 x=0.5625 x
Length of fourth swing=75% of length of third swing
Length of fourth swing=(75/100)×0.5625 x=0.421875 x
replacing;
Total length of all 4 swings
175=x+0.75 x+0.5625 x+0.421875 x
2.734375 x=175
x=175/2.734375
x=64
Total length of the first swing=x=64 m
A circle has a radius of 6ft. What is the area of the sector formed by a central angle measuring 300 degrees
Answer:
30π ft^2 which is 94.25 ft^2 to the nearest hundredth.
Step-by-step explanation:
The area of the full circle is π * 6^2
= 36π so:
the area of the 300 degrees sector = 300 * 36 π / 360
= 30 π
find the term independent of x in the expansion of x^9(2-1/x^3)^6
(it's also pictured)
Answer:
20
Step-by-step explanation:
Find the 76th term of the arithmetic sequence 17, 19, 21, ...
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
[tex]^{a}n = ^{a}1 (n - 1)d[/tex]
Since we want to determine the 76th term, we are going
to substitute 76 in for n in our explicit formula.
Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.
Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have [tex]^{a} 76 = 17 + 150[/tex].
Now just add to find that [tex]^{a} 76 = 167[/tex].
So the 76th term is 167.
Justin played a game with 24 floating plastic ducks each with a colored sticker on the bottom. There are an equal number of red blue and green stickers on the set of ducks. What is the probability that one duck chosen at random will have a red or blue sticker
Answer:
Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%
I need help plzzzz I’m nearly done
Answer:
≈ 70.4 cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , thus
C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )
What is the solution to this system of equations?
Negative 3 x + 5 y = negative 2. 3 x + 7 y = 26.
(4, 2)
(2, 3 and one-third)
no solution
infinitely many solutions
Answer:
4,2
Step-by-step explanation:
did the test
The solution of the system of equation is (4, 2) which is correct option(A).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given the two systems of equations,
-3x + 5y = -2
3x + 7y = 26
Adding the both equations
-3x + 5y + 3x + 7y = -2+26
12y = 24
y = 2
Substitute the value of y in any one of the equations,
3x + 7 y = 26
3x + 7(2) = 26
3x = 26-14
3x = 12
x = 4
Hence, the solution of the system of equation is (4, 2).
Learn more about equation here:
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how do i solve this?
Answer:
idk
Step-by-step explanation:
idk
Answer:
that is to hard
Step-by-step explanation:
Can someone help me with questions 2 and 3 pls?
1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.
1. In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.
Total = 30 × 2 + 42 × 6 = 60 + 252 = 312 pints
Answer: 312 pints
2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.
312 pints / 16 pints per container = 19.5 containers
We round up since we need a whole number of containers.
Answer: 20 containers
We can't really see question 3.
f(n) = 41 – 5n
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n − 1)+
Answer:
f(1) = 36
f(n) = f(n-1) - 5.
Step-by-step explanation:
f(1) = 41 - 5 = 36.
f(n) = f(n - 1) - 5.
In the figure angle a measures 41 degrees and angle d measures 32. What is the measurement of angle E?
Answer:
it is c
Step-by-step explanation:
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field
Answer:
9/20, or 0.45 mile.
Step-by-step explanation:[tex]\\[/tex]
To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.
[tex]\frac{9}{10}[/tex] × [tex]\frac{1\\}{2}[/tex] is just 9/20, which is 0.45.
PLZZZ HELP ME I NEED HELP AND I HAVE A TIMER AND I WILL GIVE YOU BRAINLEST
On a coordinate plane, 2 lines intersect around (3.8, negative 1.5).
Given the graph of a system of equations, which statements are true about the solution? Check all that apply.
The x-value is an integer.
The x-value is between 3 and 4.
The y-value is between –2 and –1.
The x-value is positive.
The x- and y-values have the same sign
Answer:
b,c,d
Step-by-step explanation:
I just did the assignment
Answer:
b, c. d
Step-by-step explanation:
12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant
does its terminal ray lie?
Answer:
Quadrant 2
Step-by-step explanation:
Sin = opp/hyp and opp is positive in quadrants 1 & 2.
Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.
Quadrant 2 is found in both of the scenarios that we need to occur.
What is the volume of this rectangular prism?
Answer:
volume = 5/8 cm^3
Step-by-step explanation:
v=lwh
(5/2)(1/3)(3/4)=15/24=5/8
Therefore, volume = 5/8 cm^3
I hope this helped and have a good rest of your day!
1. Warp coils, like those found on my new spaceship, are manufactured in groups of 36 (as everyone
knows). If there is a 4% rate of defect in manufacturing,
a) find the mean number of defects per group.
a)
Answer:
1.44
Step-by-step explanation:
No. of warp coils manufactured in one group = 36
defect rate = 4%
That is 4 out of every 100 warp coil is defective
No. of defective warp coil in one group = 4% of warp coil in one group
= 4% of 36 =4/100 *36
= 1.44
Thus, there are 1.44 defective coil in each group.
Since, mean number is average number of defect.
So if each group has 1.44 defective coils then mean for all the group will remain same i.e 1.44
Find the volume of this cylinder. Give your answer to 1 decimal place when the radius is 11 cm and the length is 14 cm
Answer:
5324
Step-by-step explanation:
volume of cylinder=πr^2l=22/7×11^2×14=5324
PLEASE ANSWER. I will mark as brainliest for fist correct answer.
Step-by-step explanation:
If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.
We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!
Answer:
21,661.7 mm³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
Here, we're given the diameter as 19.05 mm, so the radius is ...
r = 19.05 mm / 2 = 9.525 mm
The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...
h = (1.52 mm)(50) = 76 mm
__
Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...
V = π(9.525 mm)²(76 mm) = 21,661.7 mm³
The approximate volume of the roll of pennies is 21,661.7 mm³.
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
y is 10 degrees the pink one
y = 10
Hope This helps :D
What will be the new coordinates of point B if the red triangle is reflected over the y.Axis
Answer:
(-4, 5)
Step-by-step explanation:
(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.
Find the probability that a point chosen at random will lie in the shaded region.
I don't understand what to do here :(
Step-by-step explanation:
In the 1st question
Total boxes = 6
Shaded boxes = 2
Probability = 2/6 = 1/3
Big ideas math 6th grade chapter 5 test
Answer:
I'm not sure if you need help but...
Step-by-step explanation:
6+6=12
The graph shows the rate that Tom travels
on his bicycle, with the line traveling through
the point (5,45)
Use this graph to answer questions 1 and 2.
What is the constant of proportionality in the graph?
Answer:
The constant of proportionality is 9.
Step-by-step explanation:
k=y/x This is the formula.
k=45/5 Plug in the x and y coordinates of a point on the line (5,45).
k=9 Here's your answer!
Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of
tomato sauce in a pot. Next he adds the milk that is in the measuring cup. How
many milliliters of soup does he make?
A. 400 milliliters
B. 460 mill
C. 350 mill
D. 500 mill
Answer:
500 milliliters or ml
Step-by-step explanation:
First, we find the amount of milk is in the measuring cup which is 350 ml and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.
Hope it helped :)
The amount of soup made by Von is equal to 500 milliliters. Hence, option D is correct.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data given in the question,
Von mixes tomato sauce and milk to make soup.
Initially, the amount of tomato sauce added in the pot = 150 milliliters.
Then, milk is added that is in the measuring cup that is 350 milliliters.
So,
The total amount of soup made by him,
= 150 + 350
= 500 milliliters.
To know more about arithmetic operations:
https://brainly.com/question/25277954
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What is the total area, in square units, of the
figure shown below?
a. 6
b. 12
c. 24
d. 30
Answer:
30 !
Both are right triangles so you can do 4*3= 12 and then 12/2= 6
then 6*8=48 and 48/2=24
24+6 =30!
hope this helps ! :)
I need the right answer please
Answer:
a) i) x = 6, y = 9
ii) 20
iii) -5
b) -40
Step-by-step explanation:
3(6) - 2(9)
18 - 18 = 0
greatest
3(10) - 2(5)
30 - 10
20
least
3(5) - 2(10)
15 - 20
-5
5(a - 4b)
5[-7 - 4(¼)]
5(-7 - 1)
5(-8)
-40
-4b - 5 + 2b =10. Can I have some help solving this.
Answer:
-7.5
Step-by-step explanation:
Simplify
-4b - 5 + 2b = 10
-2b - 5 = 10
-2b = 15
b = -7.5
Answer:
-7.5
Step-by-step explanation:
-4*- 7.5 =30
2*-7.5= -15
30-5-15=10
please help. I am getting in trouble so please try to be correct...
What is the approximate area of the congruent orange right triangles?
A. 17 in2
B. 31 in2
C. 33 in2
D. 51 in2
Answer: The answer is A 17in2
Step-by-step explanation:
In the question it states that the triangles are congruent (both the same).
first I found the area of the top orange triangle.
the formula to find the area of a triangle is [tex]\frac{1}{2} bh[/tex] (base times Height).
so I did [tex]\frac{1}{2} 3.23* 5.12[/tex] which gave me 8.27.
Since the triangles are congruent (the same) they would both have the same area along with base and height. so I multiplied 8.27 by 2 (because there are two triangles) and got 16.54 which rounds up to 17.
the question also stated to find the APPROXIMATE area (close to the actual, but not completely accurate or exact.)
Answer:
A. 17 in2
Step-by-step explanation:
have a good day ^_^
1) Which of the equivalent expressions for P(x) reveals the price which gives a profit of
zero without changing the form of the expression?
P(x) = -3x? + 432x - 1680
b) P(x) = -3(x-4)(x - 140)
P(x) = -3(x - 72)2 + 13872
2) Find a price, which gives a profit of zero.
Answer:
1. (B)P(x) = -3(x-4)(x - 140)
2. $140
Step-by-step explanation:
(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of zero without changing the form of the expression is:
P(x) = -3(x-4)(x - 140)
This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.
(2)When the profit, P(x)=0, then using the expression above we have:
[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]
A price of $4 or $140 as the case may be gives a profit of zero.
HELP ASAP
table
———————————————
Radius (ft) Bushels of corn
500 2705
1000 10818
1500 24341
2000 43273
2500 67613
What type of function best models the given data set?
A. Constant
B. Exponential
C. Linear
D. Quadratic
Answer:
Linear would be fine as it doesn't decrease to under zero
and a curve graph would represent this data fine at 10818 turning point.
Step-by-step explanation:
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.
Answer:
[tex]36a^5[/tex].
Step-by-step explanation:
In a right angle triangle,
Length of one leg [tex]=12a^5[/tex]
Length of other leg [tex]=9a^5[/tex]
According to the Pythagoras theorem,
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
Using Pythagoras theorem,
[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]
[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]
[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]
[tex]Hypotenuse=15a^5[/tex]
Perimeter of right angle triangle is the sum of all sides of the triangle.
[tex]Perimeter=12a^5+9a^5+15a^5[/tex]
[tex]Perimeter=36a^5[/tex] units.
Therefore, the required expression is [tex]36a^5[/tex].
