Answers
You have to find the slope of the line. It will give you the conversion rate from inches to centimetres or the other way around.
Looking closely at the graph, or using a ruler as reference, you can estimate that 30 cm ≈ 12 in. In terms of the graph, the line very nearly passes through the point (12, 30). It also passes through the origin, (0, 0), since 0 cm = 0 in exactly.
The slope of the line is then
[tex]\dfrac{30\,\mathrm{cm}-0\,\mathrm{cm}}{12\,\mathrm{in}-0\,\mathrm{in}} = \dfrac{30\,\rm cm}{12\,\rm in} = \dfrac{5\,\rm cm}{2\,\rm in} = 2.5\dfrac{\rm cm}{\rm in}[/tex]
which means that 1 in ≈ 2.5 cm.
So, if Sarah's height is 64 in, we convert this to cm and find her height is (approximately)
[tex]64\,\mathrm{in} \times 2.5\dfrac{\rm cm}{\rm in} = \boxed{160\,\rm cm}[/tex]
Related Questions
i have no idea whats going on. PLEASE HELPPP
Answers
Answer:
36 meters
Step-by-step explanation:
You are given an angle and the length of the side adjacent. You want to find the length of the side opposite, so the relevant trig relation is ...
Tan = Opposite/Adjacent
SetupThe height of Yuri's balcony is the sum of the heights of Kim's balcony and the height of Yuri's balcony above that. Each of those height is the side opposite a given angle in a right triangle. These can be found by solving the tangent relation for the opposite side:
Tan = Opposite/Adjacent
(Adjacent)(Tan) = Opposite
height of Kim's balcony = (30 m)tan(40°)
height above Kim's balcony = (30 m)tan(20°)
__
height of Yuri's balcony = height of Kim's + height above Kim's
height of Yuri's balcony = (30 m)tan(40°) +(30 m)tan(20°)
height of Yuri's balcony = (30 m)(tan(40°) +tan(20°))
Evaluationheight of Yuri's balcony ≈ (30 m)(0.8391 +0.3640) ≈ 36.092 m
The height of Yuri's balcony is about 36 meters.
The sum of an integer and 7 more than the next consecutive integer is 66. find the integer
Answers
If the sum of an integer and 7 more than the next consecutive integer is 66 then the integers are 29 and 30.
Given that the sum of an integer and 7 more than the next consecutive integer is 66.
Integer is a number that is written without a fraction component. It can be positive as well as negative.
let the first integer be x.
Consecutive integer will be x+1.
Sum of integer and 7 more than the next consecutive integer is 66.
Sum according to the given information=x+x+1+7
=2x+8
2x+8=66
2x=66-8
2x=58
x=58/2
x=29
Next integer=29+1-30.
Hence if the sum of an integer and 7 more than the next consecutive integer is 66 then the integers are 29 and 30.
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The angle formed by the line of sight and the horizontal line can best be described as an
Answers
the angle formed by the line of sight and the horizontal line can best be described as an angle of elevation. Option B
What is angle of elevation?Angle of elevation can be defined as the angle formed between a horizontal line and the line of sight up to an object with the image of the object located above the horizontal line.
It is the height greater than the height of the observer.
The opposite of the angle of elevation is the angle of depression which is formed with an observer
Words associated with the angle of elevation are;
angles horizontal linesline of sightThe angle of elevation is the angle between the line of sight and the horizontal line.
Hence, the angle formed by the line of sight and the horizontal line can best be described as an angle of elevation. Option B
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The _____ is the range of values of the independent variables in the data used to estimate the regression model. Group of answer choices confidence interval codomain experimental region validation set
Answers
The EXPERIMENTAL REGION is the range of values of the independent variables in the data used to estimate the regression model.
According to the statement
There is a region where the range of values of the independent variables in the data used to estimate the regression model.
AND
Those region is called EXPERIMENTAL REGION
So, Experimental region is called a those region in which the region within which we can make valid predictions and doesn't go outside of the bounds of the data we were provided.
So, The EXPERIMENTAL REGION is the range of values of the independent variables in the data used to estimate the regression model.
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The rug for the kitchen has an area of 80 square feet. the width is 40 feet. what is the length?
Answers
80=length x 40
80/40=20
Length is 20 feet
What is the angle at a
Answers
Answer and Step-by-step explanation:
We are given a triangle, a quadrilateral inside a triangle. and exterior angles of the triangle at linear bisectors.
We can figure out the interior angles of the shape to find a by using the linear bisector theorem, in which a line separated by another line will have two angles that will add to 180 degrees.
For the bisected line with the angle of 60 degrees, the other angle will have to equal 120. We know this by taking 60 from 180.
The perpendicularly bisected line will always have 90 degrees for the angles, so the interior angle will be 90 degrees.
For the bisected line with the angle of 80 degrees, the other angle will have to equal 100. We know this by taking 80 from 180.
Now, we have angles to determine a.
Quadrilaterals consist of 4 interior angles, which, when added together, equals 360 degrees.
360 - 90 - 100 - 120 = a
260 - 90 - 120 = a
140 - 90 = 50 = a
So, angle a is equal to 50 degrees.
#teamtrees #PAW (Plant And Water)
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. what does the solution of the system represent in this context? startlayout enlarged left-brace 1st row y = 35 x 2nd row y = negative 0.05 (x minus 400) squared 9,942 endlayout
Answers
The correct option is D. the number of sweatshirts for which cost and income are equal.
What is quadratic equation?Any equation that contains only one element which squares the variable and none that raises it to a higher power.
The general form form of quadratic equation is-
ax² + bx + c = 0
According to the question;
Use the substitute method to get the quantity of sweatshirts in which cost and earnings are equal.
The money made by selling sweatshirts is represented by y in the systems of equations' first equation.The cost of producing x sweatshirts featuring team logos for the a professional sport league is represented by y in the second equation.Step 1: Write the following system of equations as the first step.
[tex]\begin{aligned}&y=35 x \\&y=-0.05(x-400)^{2}+9492\end{aligned}[/tex]
Step 2: Replace the value of "y" in the equation (2).
[tex]35 x=-0.05(x-400)^{2}+9492[/tex]
Step 3: Make the equation above simpler.
[tex]35 x=-0.05 x^{2}-8000+40 x+9492[/tex]
Step 4: Write the preceding equation in generalised quadratic form.
[tex]0.05 x^{2}-5 x-1492=0[/tex]
The processes above lead to the conclusion that option D provides the proper statement.
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The complete question is-
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?
y=35x
y=-0.05(x-400)^2+9,492
A. the number of sweatshirts that generate the maximum income
B. the number of sweatshirts that generate the minimum cost
C. the number of sweatshirts for which the difference between cost and income is greatest.
D. the number of sweatshirts for which cost and income are equal
Answer:
D
Step-by-step explanation:
He said so
Laura is walking quickly and finds that she travels 54 feet in a span of 12 seconds witch of the following is the speed of Laura’s walking
Answers
Laura's walking speed is 4.50 feet per second.
What is Laura's walking speed?Speed is the total distance travelled per time. Speed can be determined by dividing the distance walked by Laura by the time.
Average speed = total distance / total time
54 / 12 = 4.50 feet per second
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University Data
Receiving
Not Receiving
Total
Financial Aid
Financial Aid
Undergraduates
4222
3898
8120
Graduates
1879
731
2610
Total
6101
4629
10730
If a student is selected at random, what is the
probability that the student is a graduate
(rounded to the nearest percent)? [ ? ]%
Answers
Answer:
24 % (to the nearest percent)
Step-by-step explanation:
the probability that the student is a graduate is equal to :
[tex]=\frac{\text{the total number of graduates} }{\text{the total number of students} }[/tex]
[tex]=\frac{2610}{10730} \\=0.243243243243[/tex]
Converting to percentage:
0.243243243243×100
= 24.3243243243 %
picture explains everything please help ASAP
Answers
Answer: Choice B is correct.
does this inequality have a solution? 6(x+2)>x-3
Answers
Answer:
x > - 3
Step-by-step explanation:
6(x + 2) > x - 3 ← distribute parenthesis on left side
6x + 12 > x - 3 ( subtract x from both sides )
5x + 12 > - 3 ( subtract 12 from both sides )
5x > - 15 ( divide both sides by 5 )
x > - 3
[tex]\textbf{Heya !}[/tex]
✏[tex]\bigstar\textsf{Given:-}[/tex]✏
[tex]\sf{6(x+2) > x-3}[/tex]✏[tex]\bigstar\textsf{To\quad find:-}[/tex] ✏
x -- ?✏[tex]\bigstar\textsf{Solution \quad Steps:-}[/tex] ✏
use the distributive property
[tex]\sf{\longmapsto 6x+12 < x-3}[/tex]
subtract both sides by x and 12
[tex]\sf{\longmapsto{5x < -15}[/tex]
divide both sides by 5
[tex]\sf{\longmapsto x < -3}}[/tex]
`hope it's helpful to u ~
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8). Mark this and return
Answers
The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).
How to analyze quadratic equations
In this question we have a graph of a quadratic equation translated to another place of a Cartesian plane, whose form coincides with the vertex form of the equation of the parabola, whose form is:
g(x) = C · (x - h)² - k (1)
Where:
(h, k) - Vertex coordinatesC - Vertex constantBy direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.
x = 2
g(2) = (2 - 5)² + 1
g(2) = 10
x = 8
g(8) = (8 - 5)² + 1
g(8) = 10
The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).
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Answer: B
Step-by-step explanation:
looked at the points from the dude above, or below, anyway i hope this helps
You roll two number cubes one red and one blue. the table shows the probability
Answers
Answer:
where is the table?
Step-by-step explanation:
I needed help solving this question please if u can
Answers
Answer:
1) 4x + 5y = 20 4x + 5y = 20
-2x + 3y = 12 --> 2(-2x + 3y) = 2(12)
2) 4x + 5y = 20
-4x + 6y = 24
3) 4x + 5y = 20
-4x + 6y = 24
0x + 11y = 44
4) 11y = 44
5) y = 4
6) 4x + 5y = 20
4x + 5(4) = 20
7) 4x + 20 = 20
8) 4x = 0
9) x = 0
10) The solution is the point (0, 4)
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
2x - y = 7
2y = 4x - 14
Answers
Since there are same number of either side, hence the solution has infinite number of solution
System of equationsSystem of equations are equation that consist of two or more equations with unknown variables.
Given the equations
2x - y = 7
2y = 4x - 14
This can also be written as
2x - y = 7
y = 2x - 7
Substitute equation 2 into 1
2x - (2x - 7) = 7
2x-2x+7= 7
7 = 7
Since there are same number of either side, hence the solution has infinite number of solution
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4x−4<8 and 9x+5>23 find x
Answers
Answer:
Step-by-step explanation:
for the first one, it is x=2
for the second one, it is x=9
Consider the function represented in this table. f(x) -1 -21 0 -9 1 3 2 15 Which of these tables could represent the inverse of function f? X X -1 0 1 2 q(x) 21 9 -3 -15
Answers
If f(-1)=-21,f(0)=-9,f(1)=3,f(2)=15 then the inverse of function f(x) is p(-21)=-1,p(-9)=0,p(3)=1,p(15)=2 which is option d.
Given that f(-1)=-21,f(0)=-9,f(1)=3,f(2)=15 and we are required to find the inverse if the function.
Function is relationship between two or more variables expressed in equal to form. In a function each value of x must have corresponding value of y.
The given function is as under:
f(-1)=-21,
f(0)=-9,
f(1)=3
f(2)=15
In the inverse of the function the value of x becomes the value of y and the value of y becomes the value of x. So the inverse of the function is as under:
p(-21)=-1,
p(-9)=0,
p(3)=1,
p(15)=2
Hence if f(-1)=-21,f(0)=-9,f(1)=3,f(2)=15 then the inverse of function f(x) is p(-21)=-1,p(-9)=0,p(3)=1,p(15)=2 which is option d.
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Can someone please explain how to do this? I don’t need the answer I just don’t know how to solve it.
Answers
Let [tex]P[/tex] be the number of plain cakes sold, and [tex]D[/tex] the number of decorated cakes sold.
Each plain cake sells for $7, so [tex]P[/tex] cakes sells for [tex]\$7P[/tex].
Similarly, each decorated cakes goes for $11, so [tex]D[/tex] cakes are worth [tex]\$11D[/tex].
The baker sells all but 3 cakes, so
[tex]P + D = 117[/tex]
After the sale, the baker earns a total of $991, so
[tex]7P + 11D = 991[/tex]
Now just solve the system of equations for [tex]P[/tex] and [tex]D[/tex]. This is easily done by substitution or elimination.
(The selected answer is actually the correct one.)
Identify m∠EFH.
The figure shows triangle G F H. Angle G is equal to 76 degrees. A measure of angle H is given by the formula 3 times x minus 3 degrees. Side G F lies on ray G F with endpoint G. Angle H F E is an exterior angle and its measure is given by the formula 8 times x plus 8 degrees.
Answers
Based on the calculations, the magnitude of m∠EFH is equal to 112°.
How to find the magnitude of m∠EFH?In Geometry, the sum of two (2) non-adjacent interior angles in a triangle is equal to its exterior angle. Thus, we have:
(3x - 3) + 76 = 8x + 8
3x + 73 = 8x + 8
73 - 8 = 8x - 3x
65 = 5x
x = 65/5
x = 13.
From triangle GFH, we have:
m∠EFH = ∠F = 8x + 8
m∠EFH = 8 (13) + 8
m∠EFH = 104 + 8
m∠EFH = 112°.
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I need help I’m really stuck on this and have absolutely no idea how to work this out your supposed to “solve for t”
Answers
Answer:
t = -35/8
Step-by-step explanation:
Divide both sides by 2/5.
Plot this on graph
2x+4y=8
Answers
Find some points
(0,2)(2,1)(4,0)Graph attached
A wooden plank is $5$ feet long and $1\frac{1}{2}$ inches thick. To make the plank $1\frac{1}{8}$ inches thick, a carpenter removes the same thickness of wood from the top and bottom of the plank. How many inches does the carpenter remove from the top of the plank
Answers
Carpenter remove [tex]3/16[/tex] inches from the top of the plank to the same thickness of wood from the top and bottom of the plank.
How many inches does the carpenter remove from the top of the plank ?
A wooden plank is [tex]5ft[/tex] long and [tex]1\frac{1}{2}[/tex] inches thick
to make the plank [tex]1\frac{1}{8}[/tex] inches thick
Carpenter needs to cut off
[tex]=1\frac{1}{2} -1\frac{1}{8} \\=\frac{3}{2} -\frac{9}{8} \\=\frac{3}{8}[/tex]
Carpenter cuts each side
[tex]=\frac{3}{8} /2\\=\frac{3}{16} inches[/tex]
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HELPPPP‼️‼️
19. In a school election, 250 votes are tallied for 3
candidates: Eric, Kai, and Sarah. If Eric got 50
votes, and Kai gets 60% of the remaining votes,
how many votes did Sarah get?
Answers
Answer:
The answer is 75 and here's why.
Let's figure out the amount of remaining votes to prove this.
250 total votes - 150 votes for candidate a = 100 votes.
minus ↑ sign
Candidate B received 25% of the votes, so let's find 25% of 100
100 * 0.25 = 25 votes
Candidate B only got 25 votes (that's kinda sad, poor guy)
100 - 25 votes = the # of votes candidate C got
Candidate C got 75 votes!
What are relative advantages and disadvantages of the algebraic notations of viete and harriot?
Answers
Generally speaking, Harriot's notation was clearer than Viète's, which made it simple for him to connect Viète's identities.
Harriot made significant contributions to the theory of equations and developed a more straightforward notation for algebra.
The employment of special notation is algebra's most evident characteristic. Variables are the symbols that are used to represent numbers.
A symbolic system known as notation is used to represent mathematical concepts and objects.
The primary components of notation are letters, symbols, figures, and signs. Notation can be made using symbols, characters, numbers, or a combination of these, such as the factorial symbol.
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Find the equation of the line that
is perpendicular to y = 6x-2 and
contains the point (6, -2).
y =
= [2²] x + [ ]
Answers
Answer:
y = - [tex]\frac{1}{6}[/tex] x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 2 ← is in slope- intercept form
with slope m = 6
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{6}[/tex] , then
y = - [tex]\frac{1}{6}[/tex] x + c ← is the partial equation
to find c substitute (6, - 2 ) into the partial equation
- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1
y = - [tex]\frac{1}{6}[/tex] x - 1 ← equation of perpendicular line
Can someone help me with this question please !!
Answers
Answer:
20 ft by 14 ft
Step-by-step explanation:
See attached image.
y≤1/2x-3
y + 2x > 6
I need help solving this problem shjsdjjsjdndjskdjdkkdndnsjsjmsmskdndnd
Answers
Answer:
6-2x < y < ½x-3Step-by-step explanation:
The first part tells us that y is, or is anywhere below ½x-3
The second part tells us that above 6-2x
Since we don't know what x is, we cannot actually find y.
The best answer to this question is:
6-2x < y < ½x-3
Which reads, in words, as: six minus two-x is below y; and y is below one-half-x minus three.
Hopefully, this is what your teacher or math program is looking for. There is hardly another way to solve it, other than graphing it. The graphed version will be attached, but I highly doubt you'll need it.
Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.
Answers
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
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For the complete question, refer to the attachment.
Find the product of:
(3x - 4)(2x^2 + 2x - 1).
A. 6x^3 + 2x^2 - 5x + 4
B. 6x^3 + 14x^2 - 11x + 4
C. 6x^3 - 14^2 - 5x + 4
D. 6x^3 - 2x^2 - 11x + 4
Answers
Answer:
6x^3 -2x^2-11x + 4
Step-by-step explanation:
(3x - 4)(2x^2 + 2x - 1)
(3x - 4)(2x^2 + 2x - 1)
[(3x)(2x^2 + 2x - 1)] + [-4(2x^2 + 2x - 1)]
6x^3 + 6x^2 - 3x -8x^2 - 8x + 4
6x^3 + [6x^2-8x^2] [- 3x- 8x] + 4
6x^3 -2x^2-11x + 4
Answer:
[tex]6x^3-2x^2-11x+4[/tex]
Step-by-step explanation:
Given expression:
[tex](3x-4)(2x^2+2x-1)[/tex]
Distribute the parentheses:
[tex]\implies 3x(2x^2+2x-1)-4(2x^2+2x-1)[/tex]
[tex]\implies 3x \cdot 2x^2+3x \cdot 2x +3x \cdot -1 -4 \cdot 2x^2-4 \cdot 2x-4 \cdot -1[/tex]
[tex]\implies 6x^3+6x^2 -3x -8x^2-8x+4[/tex]
Collect like terms:
[tex]\implies 6x^3+6x^2-8x^2 -3x -8x+4[/tex]
Combine like terms:
[tex]\implies 6x^3-2x^2-11x+4[/tex]
Students in a ninth grade class measured their heights, h, in centimeters. The height of the shortest student was 155 cm, and the height of the tallest student was 190 cm. Which inequality represents the range of heights?
A. h > 155 or h < 190
B. 155 ≤ h ≤ 190
C. 155 < h < 190
D. h ≥ 155 or h ≤ 190
Answers
Answer:
a h>155 or h<190
Step-by-step explanation:
The height of the shortest student is 155 cm and the height of the tallest student is 190 cm, then the inequality shows the range is 155 ≤ h ≤ 190. Hence, option B is correct.
What is an inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the provided data in the question,
The height of the shortest student is 155 cm and,
The height of the tallest student is 190 cm.
It means that the height rage is starting from 155 cm and ending at 190 cm.
The shortest height should be at least equal to 155 cm and the greater height is maximum 190 cm.
Therefore, the inequality according to this is 155 ≤ h ≤ 190.
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