Answer:
7 units
Step-by-step explanation:
(Background info, skip if not interested or needed for you)
The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
a and b being sides of a right triangle, c being the hypotenuse.
When we are solving for distance we are solving for c essentially.
[tex]c[/tex] = [tex]\sqrt{a^2 + b^2}[/tex]
Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.
(solutions)
So essentially distance is:
[tex]d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }[/tex]
Now we just use the values given to us, and sub in the x and y values respectively.
(-2,4) [tex]x_1 = -2, y_1 = 4[/tex]
(5,4)[tex]x_2 = 5, y_2 = 4[/tex]
plug these values in:
[tex]d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7[/tex]
Therefore the distance is 7 units.
Find the first three terms the described arithmetic series:
n=8
an= 36
a1=-6
Sn=120
what numbers are missing from the pattern 1,14,21,28,?,?,?,?,28,21,14,7 ?
Answer:
ANSWER1,14,21,28,35,42,42,35,28,21,14,7
Is 3√2 a rational number?
Answer:
No
Step-by-step explanation:
Because sqrt 2 is not an integer
Answer:
3root2 is not a rational number
How many apples could you buy if you went to the store with five dollars?
Answer:5 apples
Step-by-step explanation:5x1=5
Write the perimeter of the triangle as a simplified expression.
[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]
Algebra Complete the table.Write the
expression that can be used to find the
missing value in the second row.
Step-by-step explanation:
In the second column, we can see that every value of n is being added by 6.
Thus, the expression is n + 6.Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.
When n is 12:
n + 6 = 1812 + 6 = 1818 = 18When n is 15:
n + 6 = 2115 + 6 = 2121 = 21When n is 21:
n + 6 = 2721 + 6 = 2727 = 27Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.
Finding n + 6 when n is 28:
n + 6 = x28 + 6 = x34 = xThus, the missing value in the table is 34.
Find the smallest number by which 6615 is to be multiplied by to get a perfect square
Answer:
3x 5
Step-by-step explanation:
Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 pounds of Lily’s tea? a. $108. 70 b. $144. 93 c. $536. 77 d. $715. 69.
Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,
Pounds to Ounces
[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]
Grams to Ounces
[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]
Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,
[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]
Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.
Learn more about Units conversion:
https://brainly.com/question/4736731
In a survey of 250 voters, 3 out of 5 voters said they planned to vote for a proposed
new county library.
a) how many of these voters plan to vote for the library?
N
b) how many are not planning to vote for the library?
reduce into lowest terms
[tex] \frac{4}{6} [/tex]
[tex] \frac{10}{12} [/tex]
[tex] \frac{18}{24} [/tex]
Answer:
4/6
We know that, 4 can be written as:
4 = 2 × 2 and 6 = 2 × 3.
In both 2 is common so cancel it out we get, 2/3
Similarly,
10/12
10 = 2 × 5 and 12 = 2 × 2 × 3
2 common and cancel we get, 5/6
18/24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
6 (2 × 3) is common. So, cancel we get, 3/4
A globe has a diameter of 12 inches. It fits inside a cube-shaped box that has a side length of 12 inches.
What is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?
The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³
Volume of a sphereThe globe is a sphere. Therefore, the volume is as follows:
volume = 4 / 3 πr³
where
r = 12 /2 = 6 inches
volume = 4 / 3 × π × 6³
volume = 864 / 3 π
volume = 288 × 3.14 = 904.32inches³
Volume of a cube
The box is a cube. Therefore,
volume = L³
where
L = lengthTherefore,
volume = 12³
volume = 1728 inches³
Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:
volume not taken up = 1728 - 904.32 = 823.68 inches³
learn more on volume here: https://brainly.com/question/15385003
The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?
Answer: 1/3
Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile
Let n be a positive integer. z^n is the set of all lists of length n whose
entries are in z. prove that z^n is countable. (hint: find a bijection
between z^(n−1) × zand z^n and then use induction.)
Here is the picture of the problem- Only 6th grade math
Answer:
h= 7/6 mm
Step-by-step explanation:
hello :
the area is : A= (b+B)×h/2
calculate h the height : 2A = (b+B)×h
so: h = 2A/(b+B)
you have : A=21/5 and b= 3 and B= 21/5
h= 2(21/5)/(3+21/5)
h= (42/5) /(36/5)
h= 42/36
h= 7/6 mm
3(1.07)^18 can you please help??
the answer should be 10.13979682
How many apples could you buy if you went to the store with five dollars? *
Answer:
depends on how much the apples cost
Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 60% of the recent graduates annual salary exceeds $40000. Suppose you take a simple random sample of 51 recent graduates. Note: round all z scores to decimal places and all other numbers to 4 decimal places. Find the probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000
Using the normal distribution and the central limit theorem, it is found that there is a 0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
60% of the recent graduates annual salary exceeds $40000, hence p = 0.6.A sample of 51 is taken, hence n = 51.The mean and the standard error are given by:
[tex]\mu = p = 0.6[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.6(0.4)}{51}} = 0.0686[/tex]
The probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000 is the p-value of Z when X = 0.7, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.7 - 0.6}{0.0686}[/tex]
[tex]Z = 1.46[/tex]
[tex]Z = 1.46[/tex] has a p-value of 0.9279.
0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
5. The points used to model a parabola are (-3,0), (6,0) and (4,-5). Write an equation for this parabola.
Which form is most helpful and why?
Find the midpoint of A and B where A has coordinates (2, 4)
and B has coordinates (-3, -9).
Answer:
(-0.5,-2.5)
Step-by-step explanation:
(x1 + x2) / 2 = x midpoint(y1 + y2) / 2 = y midpointX:⇒ 2 + -3 = 5
⇒ 5 / 2 = -0.5
Y:⇒ 4 + -9 = -5
⇒ -5 / 2 = -2.5
→ = (-0.5, -2.5)
Answer:
X = -0.5
Y = -2.5
Step-by-step explanation:
I found this by the forumla determine the X1 and X2 add the together then divide it by 2 for the value of X midpoint. Then add Y1 and Y2 and divide it by 2 together for the value of Y midpoint.
Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?
Answer:
Vat amount = Rs 2340
Mp = Rs 22500
A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair that lasts x hours?
Answer:
15x + 25 = y
Step-by-step explanation:
$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y
A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs
Answer:
137 chairs
Step-by-step explanation:
6*24=144.
144-7=137.
please mark as brainliest.
I just need help with Part C
the domain is simply the values that "t" or the independent variable can safely take whilst not producing any extraneous values.
well, the context from the table is that it starts at time of 10 days and goes on to the 40th day, so "t" starts off at 10 and ends at 40, well, that is the domain in context, [10 , 40].
Math homework, thanks
Answer:
X=79
Step-by-step explanation:
180-135=45
45+56=101
180-101=79
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?
Answer:
115.85
Step-by-step explanation:
Answer pls in fractions
Answer:
4/5 yd^3
Step-by-step explanation:
(2/3)(3/1)(2/5) = 12/15 = 4/5
Answer:
4/5 I believe?
Step-by-step explanation:
Multiply all the numbers together :)
Find the area of a rectangle with a length of 11.2 inches and a height of 9.4 inches
show your work
Please help
Ello can you solve #14 ty
Answer:
(x, y, z) ≈ (30.375, 12.369, 13.915)
Step-by-step explanation:
You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.
27/24 = x/27
x = 27²/24 = 30.375 . . . . . . multiply by 27
__
Likewise, the ratio of short side to long side is the same for each:
y/24 = (30.375 -24)/y
y² = 24(6.375)
y = √153 ≈ 12.369
__
And the ratio of short side to hypotenuse is the same:
z/30.375 = 6.375/z
z² = 30.375×6.375 = 193.640625
z = √193.640625 ≈ 13.915
solve pls brainliest
Answer: The answer is -15/7
Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.
HOPE THIS HELPED!
Answer:
-1 1/7 :)
Step-by-step explanation:
[tex]-\frac{5}{7}[/tex] x 3
[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]
[tex]-\frac{15}{7}[/tex]
Now lest simplify it!!
-1 [tex]\frac{1}{7}[/tex]
Hope this helps!!
Have a great day!!
Please rate and mark brainliest!!
10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?
40 min = 40/60 hr = 2/3 hr
Distance = x km
t=distance/speed
x/200+x/120=2/3
multiply by 6oo
3x+5x=400
8x=400
x = 400/8=50km
The journey is for 50km
pls giive brainliest\