We are given two points : (7, 10) and (7, 4)
We are required to find the distance between the two points
First, let us label the point (7, 10) as A and (7,4) as B.
The formula for the distance (d) between points A and B is given as :
\(d\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)where (x1, y1) and (x2, y2) represents the points A and B
By substituting the given points, we have:
\(\begin{gathered} d\text{ = }\sqrt[]{(7-7)^2+(4-10)^2} \\ =\text{ }\sqrt[]{0+(-6)^2} \\ =\text{ }\sqrt[]{36} \\ =\text{ 6} \end{gathered}\)Hence, the distance between the points (7, 10) and (7,4) is 6
Answer : 6
its 2.2 km from charlie's house to the nearest mailbox. how far is it in meters
Answer:
2200
Step-by-step explanation:
Kilo means 1000, so kilometers are 1000 meters, therefore 2.2 kilometers = 2200 meters.
Answer: 2,200
Step-by-step explanation:
Multiply 2.2 with 1,000 because the km to meters conversion is 1,000.
Does anyone know this answer
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
3 is positive and -2.5 is negative 2 is greater than 2.50 so the answer is 3
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8. A megaphone is formed by taking a cone with radius of 18 centimeters and an edge length of 60 centimeters from tip to base
and cutting off the tip. The
cut is made 12 centimeters along the edge from the tip and is parallel to the base. The cut produces
a new radius of 4 centimeters. Round your answers to the nearest tenth.
Hint: A megaphone is hollow, so do not include the base.
a. What is the surface area of the whole cone?
b. What is the surface area of the tip that is removed?
카
cone
megaphone
whole cone
C.
What is the surface area of only the megaphone?
The Surface area of the whole cone is 4408.56 cm²
The Surface area of the tips that is removed is 376.8 cm²
The Surface area of the megaphone(hollow) is 2712.96 cm²
What is surface area?Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Therefore,
Surface area of the whole cone = πr² + πrl
Therefore,
Surface area of the whole cone = πr(r + l)
where
r = radius = 18 cml = edge length = 60 cmSurface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²
Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²
Surface area of the megaphone(hollow) = πrl
Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²
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a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answer:
10 dollars
Step-by-step explanation:
5 + 5
an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)
Answer:
The height of the triangle would be
5
√
15
c
m
or
19.36
c
m
Step-by-step explanation:
4) The length of a rectangle is double its width. Its perimeter is 33cm. How long is its
width?
5.5 cm
Step-by-step explanation:
Let x be the width of the rectangle.
Since the length is double the width, the length would be 2x.
x can be found by solving the perimeter equation. The perimeter of the rectangle can be found by the equation:
\(p = 2(l + w)\)
\(33 = 2(2x + x)\)
\(33 \div 2 = (2x + x)\)
\(16.5 = 3x\)
\(16.5 \div 3 = x\)
\(5.5 = x\)
Therefore, the width of the rectangle is 5.5 cm.
Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?
A) 3:2
B) 3-2
C) 2:3
D) 3 x 2
Answer:
2:3
Step-by-step explanation:
Ratio is indicated by :
Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3
Hope this helps plz mark brainliest if correct :D
Answer:
2:3
Step-by-step explanation:
2 is first and 3 is the second number so you put them in order
what is the value of x angles
Answer:
Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X
Step-by-step explanation:
In a class of 50 statistics students, 27
students received an A. What fraction of the class received an A?
Answer:
Fraction of the number that received an A= = 27/50
Step-by-step explanation:
In a class of 50 statistics students, 27
students received an A.
Total number of students=50
Number that received an A= 27
Fraction of the number that received an A= Number that received an A/Total number of students
Fraction of the number that received an A= = 27/50
SOMEONE please help I’ll give u BRAINLIST
Answer:
x = 3
Step-by-step explanation:
Because the endpoints of the segment with length 12.5 are the midpoints of the sides of the large trapezoid, the length of that segments, 12.5, is the average of the lengths of the top and bottom lengths of the large trapezoid.
(3x + 1 + 15)/2 = 12.5
Multiply both sides by 2.
3x + 16 = 25
3x = 9
x = 3
Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
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I need to solve this problem using the he quadratic formula
Answer:
the quadratic formula is
-b + {the square root of} b^2 - 4ac / 2a
-
or just
(-b±√(b²-4ac))/(2a)
Step-by-step explanation:
yh
Share £30 in the ratio 1:5 between Tim and Sam
If the computed minimum sample size n needed for a particular margin of error is not a whole number, round the value of n (up or down) to the next (smaller or larger) whole number.
a) down; smaller
b) down; larger
c) up; larger
d) up; smaller
Answer:
The correct option is c.
Step-by-step explanation:
The margin of error is the range of values lower than and more than the sample statistic in a confidence interval. It is the number of percentage point by which the sample result will differ from the population result.
The general formula to margin of error is:
\(MOE=CV\times\frac{SD}{\sqrt{n}}\)
Here,
CV = critical value
SD = standard deviation
n = sample size
Now, if the computed minimum sample size needed for a particular margin of error is not a whole number, then round the value of n up to the next larger whole number.
Thus, the correct option is c.
Find the sum of the first 33 terms of the following series, to the nearest integer.
3, 9,15,...
HELP PLEASE!!!!!!!! 25 POINTS !!!1
Answer:
\(\sf x^2 + \boxed{\sf 5} \ x - \boxed{\sf 14}\)
Explanation:
Given zero's of a polynomial function:
2 and -7Function's:(x + 7) (x -2) = 0x² + 7x - 2x - 14 = 0x² + 5x - 14 = 0Answer:
y = x² + 5x - 14
Step-by-step explanation:
If the zeros of a polynomial are 2 and -7, then:
⇒ x = 2 ⇒ (x - 2) = 0
⇒ x = -7 ⇒ (x + 7) = 0
Therefore, we can write the polynomial as:
y = a(x - 2)(x + 7) where a is some constant
As the first term of the given polynomial is x², we can say that its coefficient is 1. Therefore, a = 1
⇒ y = 1(x - 2)(x + 7)
⇒ y = (x - 2)(x + 7)
To write the polynomial in standard form ax² + bx + c
simply expand the brackets:
⇒ y = (x - 2)(x + 7)
⇒ y = x² + 7x - 2x - 14
⇒ y = x² + 5x - 14
Two wires are attached to a pole and create similar triangles with the ground. The longer wire is attached to the ground 32 feet from
the base of the pole and the shorter wire is attached to the ground 16 feet from the base of the pole.
If the cosine of the angle formed by the shorter wire and the ground is 8/41, what is the length of the longer wire?
Please help im so confused!
The length of the longer wire is 82 feet.
Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.
We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.
In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:
cos(θ) = adjacent/hypotenuse = 16/L
Given that cos(θ) = 8/41, we can substitute this value into the equation:
8/41 = 16/L
To solve for L, we can cross-multiply and solve for L:
8L = 41 * 16
L = (41 * 16)/8
L = 82
Therefore, the length of the longer wire is 82 feet.
In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.
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Kindly solve the following with the cirrect method .SOLVE ALL . I'll give brainliest + thanks + follow
The following percentages are listed below:
12.5 %40 %6.25 %6.667 %41.667 %75 %How to use percentages in real life situationsIn this question we have seven cases of real life situations in which percentages are used. Mathematically speaking, percentages are represented by the following expression:
x = r / r' × 100 (1)
Where:
r - Real quantityr - Maximum quantityNow we proceed to determine quantities related to percentages:
2.8 mm as a per cent of 2.24 cm
x = (2.8 mm / 22.4 mm) × 100 %
x = 12.5 %
What per cent of 1.5 m is 60 cm?
x = (60 cm / 150 cm) × 100 %
x = 40 %
What per cent of 2 kg is 125 g?
x = (125 g / 2000 g) × 100
x = 6.25 %
What per cent of R 6 to 40 p?
x = (40 / 600) × 100
x = 6.667 %
What per cent of a day is 10 h?
x = (10 h / 24 h) × 100
x = 41.667 %
What per cent of 7 1 / 3 m in 5 1 / 2 m ?
x = [(11 / 2) / (22 / 3)] × 100 %
x = 75 %
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Use the formula speed distance/time to calculate each speed A train travels 120miles in 2hours speed= Mph
Answer:
60
Step-by-step explanation:
120 miles divided by 2 hours equals 60 mph
HELPPPPP PLSSSSSSSSSSSSSSS
Answer: $54.66
Step-by-step explanation:
The 18% turns into 0.18, they mean the same thing.
46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)
Add tip to the cost.
46.32 + 8.34 = 54.66
Correct me if it is incorrect.
5 ten thousands 8 thousands 3 hundreds 7 tens 4 ones in standard
Step-by-step explanation:
Just : 5,8374
Find the area of the shaded region.
Answer:
3316
Step-by-step explanation:
Hope it will help you
Find the (perpendicular) distance from the line given by the parametric equations
x(t)= -2-6t
y(t)= 1-3t
z(t)= -5+7t
to the point (-8,9,8)
Answer:
\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\) Whatever this number may be
Step-by-step explanation:
The distance will be on the plane containing the point, and perpendicular to the line - which exists as long as the point doesn't sit on the line, but in that case our distance will simply be zero. Good news, since the line is given in parametric equation, the equation of the plane is easy to write by simply computing the dot product between the vector generating the line - or any multiple of it! - and the vector joining a random point x y z of the space with our given point, and setting it equal to zero. The equation of our plane is thus
\(6(x-(-8)) + 3(y-9) -7(z-8) = 0\\6(x+8)+3(y-9)-7(z-8)=0\)
We could multiply now or later, doesn't matter, so let's wait. Now, we need to know when the line passes through the plane, so let's plug the (parametric) coordinate of the line and let's see for which value of t that happens:
\(6(-2-6t+8) +3(1-3t -9) -7(-5+7t-8) =0\\6(6-6t) -3(8+3t)+7(13-7t)=0\\36-36t-24-9t+91-49t = 0\\t=103/94\)
Found this value of t, we can use it to find the coordinate of the point in common between the line and the plane:
\((-2-6\frac {103}{94};1-3\frac {103}{94}; -5+7\frac {103}{94}) = (-\frac{806}{94};-\frac{215}{94};-\frac{251}{94})\)
At this point it's simply a matter of calculating the distance between two points in 3D space, given by the usual \(\sqrt{\Delta x^2+\Delta y^2+\Delta z^2}\), whatever abomination of a number it might become:
\(\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}\)
At this point is a simple exercise in number crunching which I refuse to entertain more - but please double check all calculation above in case I didn't notice something.
160 students went on a field trip. Five buses were filled and 15 students traveled in cars. How many students were in each bus?
Each bus had ____ students.
A customer at a bakery paid $78.30 for donuts and cupcakes. Each donut cost $1.95 and each cupcake cost $2.85. If they bought a total of 30 donuts and cupcakes, how many donuts did they buy?
Answer:
\( x+y = 30\) (1)
\( 1.95x+ 2.85y = 78.30\) (2)
From equation (1) we can solve for x and we got:
\( x = 30-y\) (3)
Replacing (3) into (2) we got:
\( 1.95(30-y) +2.85 y = 78.30\)
And solving for y we got:
\( 58.5 -1.95 y +2.85 y = 78.30\)
\( 0.9 y = 19.8\)
\( y = 22\)
And then solving for x we got:
\( x = 30-22 = 8\)
So then we have 8 donuts and 22 cupcakes
Step-by-step explanation:
Let x the number of donuts and y the number of cupcakes, from the info given we can set up the following equations:
\( x+y = 30\) (1)
\( 1.95x+ 2.85y = 78.30\) (2)
From equation (1) we can solve for x and we got:
\( x = 30-y\) (3)
Replacing (3) into (2) we got:
\( 1.95(30-y) +2.85 y = 78.30\)
And solving for y we got:
\( 58.5 -1.95 y +2.85 y = 78.30\)
\( 0.9 y = 19.8\)
\( y = 22\)
And then solving for x we got:
\( x = 30-22 = 8\)
So then we have 8 donuts and 22 cupcakes
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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The following data shows the number of home runs hit by the top 12 home run hitters in Major League Baseball during the 2011 season.
43 41 39 39 38 37 37 36 34 33 33 32
The lower limit for determining outliers for a box-and-whisker plot is______.
a. 23.75.
b. 20.0.
c. 22.5.
d. 25.25.
Answer:
d. 25.25.
Step-by-step explanation:
A whisker plot is a type of box plot which is graphical representation of five number summary. It is used for explanatory data analysis. The baseball league has data set whose median is 45. When the outliner are present in data set the median measures central tendency.
Simplify 32 ⋅ 35. (4 points)
Question 3 options:
1)
37
2)
310
3)
97
4)
910
Answer:
Jul 25, 2019 — Click here to get an answer to your question ✍️ 3. Simplify 32 • 35 ... 3. Simplify 32 • 35. (4 points) 37 310 97 910. 2. See answers. Log in to ...
2 answers
Step-by-step explanation:
Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n rectangles, and Mn denotes the midpoint approximation using n rectangles. Calculate the approximation for each of the given function and interval below. (a) R5, f(x) = x2 + x on the interval [−1,1]. (b) L6, f(x) = √6x + 2 on the interval [1,3]. (c) M4, f(x) = 1 x2 + 1 on the interval [1,5].
The approximation for each of the given function and interval below is 1.12
The term function refers the special relationship where each input has a single output.
Here we have given that (a) R5, f(x) = x2 + x on the interval [−1,1]
And we need to find the the approximation for each of the given function and interval
Here we want to to calculate the right-endpoint approximation (the right Riemann sum) for the function:
=> f(x) = x² + x
For the interval [-1, 1] using five equal rectangles.
Let us find the width of each rectangle:
=> Δx = (1 - (-1))/5 = 2/5
Now, we have to list the x-coordinates starting with -1 and ending with 1 with increments of 2/5:
=> -1, -3/5, -1/5, 1/5, 3/5, 1.
Here we are find the right-hand approximation, we use the five coordinates on the right.
Then we have to evaluate the function for each value. This is shown in the table below.
And then each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5.
Therefore, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:
=> R₅ = 2/5 [-0.24 - 0.16 + 0.24 + 0.96 + 2] = 1.12
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