Answer:
B
Step-by-step explanation:
The "..." at the end of B tell us that it's a repeating decimal so B is irrational. Of course, you can't use this reasoning for every repeating decimal but in this case it works.
Through any 2 points there is exaclty_____line.
Answer:
One
Step-by-step explanation:
Through any 2 points, there is exactly one line.
Answer:
ONE
Step-by-step explanation:
Through any 2 points there is exaclty ONE line.
A football team consists of 20 offensive and 20 defensive players. The players are to be paired in groups of 2 for the purpose of determining roommates. If the pairing is done at random, (1) how many ways are there to divide the 40 players into unordered pairs of 2 each
Answer:
780 ways
Step-by-step explanation:
We have a football team consisting of 20 offensive and 20 defensive players.
The total number of the team would be:
20 + 20 = 40
Now, we must choose pairs, that is, 2, people, therefore it would be the combinations of 2 of 40 (40C2)
nCr = n! / (r! * (n-r)!)
replacing we have:
40C2 = 40! / (2! * (40-2)!) = 780
I mean there are a total of 780 ways
Triangle ABC is rotated 45° about point X, resulting in triangle EFD. Triangle A B C is rotated 45 degrees about point X to form triangle E F D. The lengths of sides A C and D E are congruent, the lengths of sides A B and E F are congruent, and the lengths of sides D F and C B are congruent. If EF = 4.2 cm, DF = 3.6 cm, and DE = 4.5 cm, what is CB? 3.3 cm 3.6 cm 4.2 cm 4.5 cm
Answer:
CB = 3.6 cm
Step-by-step explanation:
Here, triangle ABC is rotated about point X which results in triangle EFD. Since triangle ABC is rotated it retains its shape and dimensions. This means that triangle ABC is parallel to triangle EFD ie, ABC≈EFD, also both dimensions will be congruent.
Thus
AB = EF
BC = FD
AC = ED
CB = DF
BA = FE
CA = DE
Since length of side DF = length of side CB, and DF = 3.6 cm. Therefore, CB = DF = 3.6 cm
Length of CB = 3.6 cm
Answer: B it's B
Step-by-step explanation: I got it right
a plane flies 90 kilometres on a bearing 030 and then flies 150 kilometres due east how far east of the of the starting point is the plane
Answer: 45√3 + 150 ≈ 227.94
Step-by-step explanation:
A bearing of 30° means we can create a 30-60-90 triangle. We are looking for the x-value = 45√3 ≈ 77.94
Add to that value, the additional 150 due east.
77.94 + 150 ≈ 227.94
Which of the following is the equation of a line that passes through the point
(3.2) and is parallel to the yaxis?
Answer:
y=2 is the correct ans.
here, tge equn of st line passing through the point (3,2) and is also parallel to y axis.
we have, equn of st line parallel to y xaus is y= b
so , the equn of st line passing through the point (3,2) is y= 2 (where 2 is likely to b).
At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the gym costs $22. After how many months will the cost of both gyms be the same?
Answer:
6 months
Step-by-step explanation:
Gym1
12 + 20m
Gym2
22m
Set them equal
12 +20m = 22m
Subtract 20 m from each side
12 +20m-20m = 22m-20m
12 = 2m
Divide by 2
12/2 = 2m/2
6 =m
John’s parents put $40 on his school account for lunch. Each day is a three dollars for lunch. Y represent the amount of money John has after x days in a school account.
Answer:
y = $40 - ($3/day)x
Step-by-step explanation:
y = $40 - ($3/day)x represents the amount of money John has left after x days.
Please answer this in two minutes
Answer:
w=80
Step-by-step explanation:
The Exterior Angle Theorem states: The exterior angle formed by an extended sign of the triangle is the sum of the two angles in the triangle that it is not directly next to.
In this case, the exterior angle is w+44.
The interior angles we can use are w and w-36.
We can set up an equation:
w+44=w+w-36
Combine like terms.
w+44=2w-36
Add 36 to both sides.
w+80=2w
Subtract w from both sides.
w=80
Jane is using a ladder to paint under a window of her house. The straight line distance from the bottom of the window to the ground is 6ft. (leg a). The bottom of the ladder is 5 ft. From the house (leg b). How tall must the ladder be to reach the window. You are finding "c".
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the wall. The straight line distance from the bottom of the window to the ground forms the opposite side. The distance from the bottom of the ladder to the house represents the adjacent side. To determine the required length of the wire, c, we would Pythagorean theorem which us expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
c² = 6² + 5² = 36 + 25 = 61
c = √61 = 7.81 ft
Which of the following can be represented by the inequality below? 69h + 126 > 540 A. Yvonne is driving more than 540 miles on a trip. She has already driven 126 miles and drives 69 miles each hour. B. Yvonne is driving less than 540 miles on a trip. She has already driven 126 miles and drives 69 miles each hour. C. Yvonne is driving less than 126 miles on a trip. She has already driven 69 miles and drives 540 miles each hour. D. Yvonne is driving more than 540 miles on a trip. She has already driven 69 miles and drives 126 miles each hour.
Answer:
The answer is A.
Step-by-step explanation:
The inequality states that the amount that Yvonne drives is more than 540 miles. Since h represents the number of hours, we know that 69 probably means the number of miles Yvonne can drive per hour. Finally, 126 shows the amount of miles that Yvonne has already driven.
find a18 of the arithmetic sequence 2, -5, -12, -19
Answer:
The 18th term of the sequence is -117.
Step-by-step explanation:
The given sequence is 2,-5,-12,-19
From this AP,
First term, a = 2
Common difference, d = -5-2 = -7
It is required to find the 18th term of the sequence. The nth term of an AP is given by :
[tex]a_n=a+(n-a)d\\\\a_{18}=a+17d\\\\a_{18}=2+17\times (-7)\\\\a_{18}=-117[/tex]
So, the 18th term of the sequence is -117.
What is the range? Explain
Answer:
Range = [5, ∞)
Step-by-step explanation:
The initial number of snakes is 5 and it is increasing at a high rate so the maximum number is infinite. The population is increasing exponentially according to the equation P = 5(2)^t where t = the number of years.
pls solve 2x/5=6 tnx luuv u guys
Answer:
x=15
Step-by-step explanation:
2x/5=6
Multiply each side by 5/2 to isolate x
5/2 *2x/5=6*5/2
x = 15
Answer:
x = 15
Step-by-step explanation:
Given
[tex]\frac{2x}{5}[/tex] = 6 ( multiply both sides by 5 to clear the fraction )
2x = 30 ( divide both sides by 2 )
x = 15
Find the missing side length
Evaluate \dfrac p2-5
2
p
−5start fraction, p, divided by, 2, end fraction, minus, 5 when p=14p=14p, equals, 14.
Answer:
2
Step-by-step explanation:
We want to find the value of p/2 - 5 when p = 14.
Simply put 14 in the place of p and solve:
14/2 - 5
7 - 5 = 2
The value of 2.
sector of a circle is given with radius 7cm and angle subtended by the sector of a circle is 500
,
Calculate,
(i) area of sector,
Answer:
The area of the sector is 21.39 cm^2
Step-by-step explanation:
Mathematically, to calculate the area of a sector, the formula to use is;
A = Theta/360 * pi * r^2
where Theta is the angle subtended at the center of the circle = 50 degrees
r is the radius of the circle = 7cm
pi = 22/7
Substituting these values into the area of sector equation, we have;
A = 50/360 * 22/7 * 7 * 7 = (5 * 22*7 )/36 = 21.39 cm^2
PLEASE HELP!!!
For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard
deviation?
==================================================
Explanation:
The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the [tex](x-\overline{x})^2[/tex] terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so [tex]\sum(x-\overline{x})^2 = 34[/tex]
From here, we substitute this into the formula, along with n = 5 since there are 5 items in the original list
So,
[tex]s = \sqrt{\frac{1}{n-1}\sum(x-\overline{x})^2} \\\\s = \sqrt{\frac{1}{5-1}*34} \\\\s = \sqrt{\frac{1}{4}*34} \\\\s = \sqrt{0.25*34} \\\\s = \sqrt{8.5} \\\\s \approx 2.91547594742266 \\\\s \approx 2.9 \\\\[/tex]
This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.
What is the common difference for this arithmetic sequence?
Answer:
B. -6
Step-by-step explanation:
The common difference here is the difference between each term. Since it is an arithmetic sequence the difference between each term will be the same value.
So, from 45 (the 1st term) to 39 (the 2nd term), the difference is -6
From 39(the 2nd term) to 33, the difference is also -6.
Therefore, we know that the common difference fro this arithmetic sequence is -6.
Hope this helps and ask me any question if it does not :)
Answer:
-6.
Step-by-step explanation:
39 - 45 = -6
33 - 39 = -6
27 - 33 = -6
21 - 27 = -6.
Avery wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3.2% and the other bank is offering a rate of 3% compounded annually. If Avery decides to deposit $7,000 for 5 years, which bank would be the better deal? 1. a simple interest rate of 3.2% 2. a compound interest rate of 3%
Answer: a simple interest rate of 3.2% will be the better deal.
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 3/100= 0.03)
n= number of compounding periods in each year (1)
Replacing with the values given
A = 7000 (1+0.03/1)^(1x5)
A = 7000( 1.03)^5 = $8,114.92
For simple interest:
I = p x r x t
Where:
I = interest
Replacing with the values given:
I = 7000 x (3.2/100) x 5 = $1,120
Adding the principal amount: 7000+1120 = $8,120
Since 8,120 (simple) >8,114.92(compound)
a simple interest rate of 3.2% will be the better deal.
a machine can stamp 75 caps per minute. At this rate how long will it take to stamp 3000?
Step-by-step explanation:
[tex]75- caps ----------- 1 minute\\3000 caps ------------x - minutes\\\\Cross-Multiply\\75x = 3000 \times 1\\75x = 3000\\\frac{75}{75} =\frac{3000}{75} \\\\x = 40 minutes[/tex]
Can you help me cause I’ve been struggling
Answer:
-8
Step-by-step explanation:
Hope it helps you.
Can you mark my answer as a Brainliest Please
HELP PLZ It is your turn to wash the dishes. When you are finished, you begin to drain the water from the sink. The water's draining can be defined by the function V = -.75t + 10 where V is the volume of water in gallons and t is the time in minutes. What is the rate of change and would you interpret that?
Answer:
The rate of change is -0.75
Step-by-step explanation:
For each unit of t the volume of water is decreasing by 0.75.
At t=13.333 the volume of water is 0. at t=0 the volume of water is 10
Hope this helps
What is π/6? I don’t know. No calculators!
Answer:
You could approximate pi to be 3.14, and divide that by 6.
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
If π/6 is an angle in radians
So, Converting it into degrees will make :
=> π/6 * 180 => 30 degrees
Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 32 questions he thought he got right. It turns out that Henry got 2 questions wrong that he thought he got correct and he only got 15 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?
Answer:
90%
Step-by-step explanation:
Of his 50 answers, the number that he correctly predicted as being right or wrong is 30 + 15 = 45.
So his accuracy is 45/50 = 90%.
Using it's concept, it is found that the percentage accuracy he had with predicting his scores is 90%.
The percentage of a relative to b is given by:
[tex]P = \frac{100a}{b}[/tex]
In this problem:
In total, there are 50 questions.Of the ones he got right, he identified 30 right.Of the ones he got wrong, he identified 15 correctly.Hence, since he identified 45 out of 50 correctly:
[tex]P = \frac{100a}{b} = 100\frac{45}{50} = 100(0.9) = 90\%[/tex]
The percentage accuracy he had with predicting his scores is 90%.
A similar problem is given at https://brainly.com/question/10491646
Write the expression as a square of a binomial if possible: 19x^2+2/15xy+1/25y^2 Anyone who answers my question I will name brainliest. Thank You
Answer:
Formula: a² + 2ab + b² = (a + b)²
The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.
The answer is (1/3x + 1/5y)².
WILL GIVE BRAINLIEST 5 STARS AND THANKS....An automated machine takes any cardboard rectangle and cuts off a square whose side length is equal to the shorter side length of the rectangle. Peter had a rectangle and, using only the machine, got out of it 2 large squares, 3 medium squares, and 5 small squares whose side length is 10 cm. What were the dimensions of Peter's rectangle?
Answer:
Dimensions:
x = 130 cm
y = 10 cm
Step-by-step explanation:
Let´s call "x" and "d" sides of the cardboard rectangle x > y
then we have to cut along x three pieces of y length to get three squares of sides "y".
We have two squares of side y, the third one we cut in half and get two rectangles with sides y and y/2, we cut to get 4 squares with sides y/2 then so far we have
2 large squares ( side y )
4 medium squares (side y/2) we just need three
We need to cut the available square side y/2 in 4 to get y/4 squares
Finally, we need y/4 length to get the fifth y/4 square
Then dimensions of the cardboard
x and y
We cut 3 times at "y" length and need additional 10 cm
Then the side y/4 is equal to 10 cm then y = 40 cm
and x = 3*y + y/4
x = 3*40 + 10 = 130 cm
Please answer this in two minutes
Answer:
TUV=52
Step-by-step explanation:
2z+65+59+26z=180
28z+124=180
28z=56
z=2
26*2=52
Answer:
TV
Step-by-step explanation:
The sum of the angles of a triangle are 180
z+59 + z+65 + 26z = 180
Combine like terms
28z + 124 = 180
Subtract 124
28z = 180-125
28z =56
Divide by 28
28z/28 = 56/28
z=2
The smallest side is opposite the smallest angle
26*2 = 52
<u is the smallest angle so TV is the smallest side
Andrea and Helen participated in a donut eating contest. Andrea ate six more than four times the number of donuts that Helen ate. Let d represents the number of donuts Helen ate. Write the expression that gives the number of donuts that Andrea ate
Step-by-step explanation:
the answer to your question is
6+4x=d
The expression that gives the number of donuts Andrea ate, represented by "a," can be written as: a = 4d + 6
Let's break down the information given:
1. Let "d" represent the number of donuts Helen ate.
2. Andrea ate six more than four times the number of donuts that Helen ate.
To find the expression that gives the number of donuts Andrea ate, we can use the information provided in point 2.
Four times the number of donuts Helen ate can be expressed as 4d.
Andrea ate six more than four times the number of donuts Helen ate, which can be represented as 4d + 6.
Therefore, the expression that gives the number of donuts that Andrea ate is 4d + 6.
To know more about expression, refer here:
https://brainly.com/question/17820513
#SPJ2
In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture.
Answer:
87.6m²
Step-by-step explanation:
From the above question, we are given the following information
The dimensions of the base were 3 m by 5 m:
Length = 3m
Width = 5m
The pyramid was 3.6 m high
Height = 3.6m
To calculate the amount of ice needed for this sculpture, we would have to find the Surface Area of the Rectangular Prism
This is calculated as:
Surface Area =2(wl+hl+hw)
= 2(3 × 5 + 3.6 × 3 + 3.6 × 5)
= 2(15 + 10.8 + 18)
= 2(43.8)
= 87.6m²
The amount of ice needed for this sculpture is 87.6m²
The rectangle below has an area of 15k^4 + 35k^3 + 20k^2. The width of the rectangle is equal to the greatest common monomial factor of 15k^4, 35k^3, and 20k^2. What is the length and width of the rectangle?
The greatest common factor is the biggest number that divides evenly into each one of the numbers without a remainder...the only thing that's different about our situation is that we have variables in addition to regular number (but the same logic applies...we need to find the biggest variable that goes into k^4 , k^3 , and k^2 ).
The biggest number that goes into 15, 35 and 20 is the number 5. The biggest variable that goes into k^4 , k^3 , and k^2 is k^2
Combining the number and the variable, we get that the greatest common monomial factor is 5k^2
Since area is length x width, and we just figured out that width is 5k2 , all we have to do to find length is divide 15k4+35k3+20k2 by 5k2 , and we get that the length is 3k^2+7k+4
So the width is 5k^2 and the length is 3k2+7k+4
:))
-Eli