The equation for finding the length between two points is:
\(l\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}\)where point 1 has coordinates (x1, y1) and point 2 has coordinates (x2, y2).
We assign A to be point 1 and B be point 2
Therefore,
\(\begin{gathered} l\text{ = }\sqrt[]{(0_{}-5_{})^2+(5_{}-(-2)_{})^2} \\ l\text{ = }\sqrt[]{(-5)_{}^2+(7_{})^2} \\ l\text{ = }\sqrt[]{25+49^{}} \\ l\text{ =}\sqrt{\text{74}} \end{gathered}\)26 is 6 more than k. Solve for K.
Answer:
k = 20
Step-by-step explanation:
simplify both sides of the equation, then isolate the variable.
hope it helps you!:))
HELP URGENT!!! RESPOND QUICKLY!!!
Answer:
i think x = 7 y = 11
Step-by-step explanation:
have a nice dae
A cab company charges $ 2 per cab ride, plus an additional $ 1 per mile driven. How long is a cab ride that costs $ 45 ?
(50 PTS/MORE INFO INSIDE) How many outcomes do NOT show an even number on the first spinner and show a 6 on the second spinner?
Answer:
i think u forgot to add the picture bro?
Step-by-step explanation:
Solve for n. c/d = d/c - 1/n
Answer:
Hi! The other answer is not correct to your question
The answer to your question is n= \(\frac{dc}{(c+d)(c-d)}\)
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable n
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Hope this helps!!
I also got stuck on this one.
Answer:
8 questions.
Step-by-step explanation:
100 - 2x = 84
-2x + 100 = 84
-x + 50 = 42
x - 50 = -42
x = 8
Trevor answered 8 questions incorrectly.
Hope this helps!
Answer:
8
8Step-by-step explanation:
100-2x=84
subtract 84 from both sides
16-2x=0
add 2x to both sides
16=2x
divide both by 2 to get x
x=8
hope this helped
Find the average rate of change in the simplest form
can I have the answer for c pleaseee ASAP
Answer:
a) -1/3 b) 3 c) y=3x-10
Step-by-step explanation:
The cost of 3x10^0 houses is $1.05* 10^6 . If the cost of the houses and the number of houses is proportional. How much money is needed to buy 2.5x10^1houses? Do all calculation in SN form. Express your answer in proper scientific notation and in standard form. MUST SHOW ALL YOUR WORK
Answer:jh
43
Step-by-step explanation:
Trust meTrust meTrust me ps
What is the GCF of 44,524 and 121;46?
O 4912
4;24
O 11:32
O 11:44
Plzzz help nowwww
WILL RECIEVE BRANILIEST IF ANSWERED CORRECT
Answer:
B
Step-by-step explanation:
The answer is B because we can estimate by seeing that: 3 x 3 = 9, so henceforth the answer must be between 3 and 4, so it must be B.
If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof
Step-by-step explanation:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
1) 9 + 2h - 16
-7 + 2h
1.1.3 Quiz: Induction: The Search for Rules and Patterns
Question 1 of 10
Which of the following is most likely the next step in the series?
D
OA.
OB.
О с.
O D.
O
The option that is next in the series will be option D. The Pentagon.
What is the next step in the series?The next step in the series will be option D. The first circle has a vertical line with two points while the second circle has a triangle with three points.
The third circle has a shape with four points, and given this series, we can predict that the fourth circle will have a shape with five points. Option D satisfies this condition as it has a pentagon with five sides. There are five dotted points that prove that the figure is a pentagon.
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Which fractions are equivalent to 4/12? Choose ALL the correct answer
2/10
1/9
1/6
2/6
1/3
Answer:
The correct t answer are 1/3 and 2/6
I'm 100000000% sure the answers are 1/3 and 2/6.
PLS HELP
If a cone has a volume of 75.36 cubic feet and a radius of 6 feet, what is the height of the cone? (Use 3.14 for .)
O2 feet
3.46 feet
06 feet
04 feet
Solve for x.
4x+3=18-x
= [?] X =
HURRY PLEASE
Answer:
x = 3
Step-by-step explanation:
4x + 3 = 18 - x ( add x to both sides )
5x + 3 = 18 ( subtract 3 from both sides )
5x = 15 ( divide both sides by 5 )
x = 3
The sides of a rectangle are in the ratio 1:2. If the rectangle has an area of 578 in2, find the dimensions of the rectangle and the perimeter
Answer:
find the width and length
Step-by-step explanation:
MATH SUFACE AREA OF PYRAMIDS
WILL GIVE YOU MY LAST 10 POINTS!!!! AND BRAINLYIST!!
Step-by-step explanation:
the surface areas are always the sum of the areas of the individual sides and base area.
so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.
the area of a triangle is
baseline × height / 2
or with Heron's formula when we have all sides
s = (a+b+c)/2
area = sqrt(s×(s-a)×(s-b)×(s-c))
the area of a rectangle is
length × width
for a square that is then
side × side = side²
and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is
3 × sqrt(3) × side² / 2
1.
square base area : 10×10 = 100 cm²
lateral areas :
one triangle is 10×13/2 = 65 cm²
4 triangles are then 4×65 = 260 cm²
total surface area :
100 + 260 = 360 cm²
2a.
3 lateral triangles :
3 × 8×10/2 = 120 units²
base area (Heron's, as all 3 sides are 8 units) :
s = 3×8/2 = 12
area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)
total surface area :
120 + 16×sqrt(3) = 147.7128129... units²
2b.
4 lateral triangles :
4 × 8×10/2 = 160 units²
base area : 8×8 = 64 units²
total surface area :
160 + 64 = 224 units²
2c.
6 lateral triangles :
6 × 8×20/2 = 480 units²
base area :
3×sqrt(3)×8²/2 = 96×sqrt(3)
total surface area :
480 + 96×sqrt(3) = 646.2768775... units²
2d.
base area : 16² = 256 units²
4 lateral triangles. but we need to get their height first.
Pythagoras :
(16/2)² + 24² = height²
8² + 24² = height²
64 + 576 = height²
height² = 640
height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)
4 triangles are
4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²
total surface area :
256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²
Find the volume of the sphere:
A. 452.4 cubic meters
B. 904.8 cubic meters
C. 150.8 cubic meters
D. 36 cubic meters
Work Shown:
r = 6 = radius
V = volume of a sphere of radius r
V = (4/3)*pi*r^3
V = (4/3)*pi*6^3
V = 904.77868423386
V = 904.8
I used my calculator's stored version of pi (instead of something like pi = 3.14)
The units "cubic meters" can be abbreviated to m^3 or \(m^3\)
The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.
The volume of a sphere can be calculated using the formula:
V = \(4/3 * \pi * r^3\),
Where V is the volume and r is the radius of the sphere.
\(\pi\) = 3.14
The radius of the sphere (r) = 6m
Plugging in the given radius of 6m into the formula, we get:
V = (4/3) * \(\pi\) * (6^3)
V = 1.333 * \(\pi\) * 216
V = 1.333 * 3.14 * 216
V = 4.1866 * 216
V = 904.8 cubic meters
Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8 cubic meters.
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a dog shelter is giving away 8 different dogs, but you only have room for 5 of them. how many different dog families could you have
Answer: 5
Step-by-step explanation:
Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression: 1. Test-Score = 520.4-5.82 × CS (20.4) (2.21) A classroom has 22 students. What is the regression's prediction for that classroom's average test score?
To find the regression's prediction for a classroom with 22 students, you can use the given OLS regression equation: Test-Score = 520.4 - 5.82 × CS. In this equation, CS represents the class size.
Since the class size is 22 students, you can plug this value into the equation:
Test-Score = 520.4 - 5.82 × 22
Test-Score = 520.4 - 127.04
Test-Score ≈ 393.36
So, the regression's prediction for that classroom's average test score is approximately 393.36.
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can someone answer page 3 question 3, page 5 question 3, all of page 6
The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7
What is trigonometrical ratios?Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle. There are three common trigonometric ratios: sine, cosine, and tangent
For page 3 question 3,
a) <A + <B = 90 since <C = right angle
b) SinA = BC/AB and CosB = BC/AB
The ratio of the two angles BC/AB ÷ BC/AB = 1
I notice that the ratio of sinA and cosB gives 1
b) The ratio of CosA and SinB will give
BC/AB ÷ BC/AB
= BC/AB * AB/BC = 1
For page 5 number 3
Tan28 = g/i
g/12.2 = tan28
cross multiplying to have
g = 12.2*tan28
g = 12.2 * 0.5317
g = 6.5
b) the angle I is given as 90-28 degrees
<I = 62 degrees
To find the side h we use the Pythagoras theorem
h² = (12.2)² + (6.5)²
h² = 148.84 +42.25
h²= 191.09
h=√191.09
h= 13.8
For page 6
1) Sin42 = x/18
x=18*sin42
x = 18*0.6691
x = 12.0
2) cos28 = 6/x
xcos28 = 6
x = 6/cos28
x [= 6/0.8829
x = 6.8
3) Tan63 = x/34
x = 34*tan63
x= 34*1.9526
x = 66.4
4) Sin50 123/x
xsin50 = 123
x = 123/sin50
x = 123/0.7660
x =160.6
5) Sin57 = P/8
Pole = 8sin57
the pole = 8*0.8387
The pole = 6.7
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Consider a data set containing the following values.
88 96 72 84 95 100 92 90
The mean of the preceding values is 89. 625. The deviations from the mean have been calculated as follows:
-1. 625 6. 375 -17. 625 -5. 625 5. 375 10. 375 2. 375 0. 375
Required:
a. If this is sample data, the sample variance is ?? and the sample standard deviation is??
b. If this is population data, the population variance is?? and the population standard deviation is??
c. Suppose the largest value of 106 in the data was misrecorded as 100. If you were to recalculate the variance and standard deviation with the 100 instead of the 106, your new values for the variance and standard deviation would be?
If this is sample data, the sample variance is 75.410 and the sample standard deviation is 8.68 .
What does variance mean?The term variance refers to a statistical measurement of the spread between numbers in a data set. More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set.
Why is variance used?Variance is a statistical measurement used to determine how far each number is from the mean and from every other number in the set. You can calculate the variance by taking the difference between each point and the mean. Then square and average the results.
If this is population data, the population variance is 65.98 and the population standard deviation is8.12 .
If you were to recalculate the variance and standard deviation with the 80 instead of the 72,
Sample variance = 43.125
Sample standard deviation = 6.567
Population variance = 37.734
Population standard deviation = 6.14
Step-by-step explanation
Dats given are 88, 96, 72, 84, 95, 100, 92 and 90
Mean, μ = 89.625
Number of data, N = 8
Sample variance s2 = Σ ( xi - μ )2 / N-1
N -1 = 8-1 = 7
Given that xi - μ for each data are -1.625, 6.375, -17.625, -5.625, 5.375, 10.375, 2.375 and 0.375
Σ ( xi - μ )2 = -1.6252 + 6.3752 + -17.6252 +-5.6252 + 5.3752 + 10.3752 + 2.3752 + 0.3752 = 527.870
Sample variance, s2 = 8−1−1.6252+6.3752+17.6252+5.622+5.3752+10.3752+2.3752+0.3752
= 7527.870 = 75.410
sample standard deviation s = 75.410
= 8.68
Population variance , σ 2 = Σ ( xi - μ )2 / N
Population variance , σ 2 = 81.6252+6.3752+17.6252+5.6252+5.3752+10.3752+2.3752+0.3752
= 8527.870
= 65.96
Population standard deviation, σ = 65.98 = 8.12
If 72 is recalculated with 80 , datas are 88, 96, 80, 84, 95, 100, 92 and 90 888+96+80+84+95+100+92+90
New mean, μ = 888+96+80+84+95+100+92+90
= 90.625
The deviations from the mean ( xi - μ ) are -2.625, 5.375, -10.625, -6.625, 4.375 , 9.375, 1.375 and -0.625
Σ ( xi - μ )2 = -2.6252 + 5.3752 + -10.6252+ -6.6252 + 4.3752 + 9.3752 + 1.3752 + -0.6252 = 301.875
Sample variance s2 = Σ ( xi - μ )2 / N-1
Sample variance s2 = 8−1−2.6252+5.3752+10.6252+6.6252+4.3752+9.3752+1.3752+0.6252
= 7301.875
= 43.125
Sample standard deviation s = 43.125
= 6.567
Population variance, σ 2 = Σ ( xi - μ )2 / N
Σ ( xi - μ )2 = -2.6252 + 5.3752 + -10.6252+ -6.6252 + 4.3752 + 9.3752 + 1.3752 + -0.6252 = 301.875
Population standard deviation, σ^2 = sqrt(37.734)
Population standard deviation, σ = 6.14
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Should it matter if areas far from large cities lose population?
Answer:
It should.
Step-by-step explanation:
If a nearby city is losing people then the large city should try to help.
A rectangular prism has the volume of 528 cubic
feet and a base area of 88 square feet. What is the
height of the rectangular prism?
A. 2 feet
B. 8 feet
C. 4 feet
D. 6 feet
Answer:
D. 6 feet
Step-by-step explanation:
The volume of a rectangular prism can be found by using L * W * H, or B * H
-> The length (L) times the width (W) is equal to the base (B)
V = B * H
528 = 88H
6 = H
Which fraction below represents a repeating decimal?
A.) 1/4
B.) 6/4
C.) 19/2
D.) 22/12
Solve for x. Figures are not necessarily drawn to scale.
Check the picture below.
\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)
Help Me!!!
Find the difference
(4 - 7m) - (-n + 2m -1)
Answer:
− 9 m + n + 5
Step-by-step explanation
I did the quiz
if a-b=0.9 and ab=0.36 find, (i) a + b and (ii) a^2-b^2
Answer:
Start your streak by answering any question. You'll get bonus points from day 2.