Answers
The statement that describes the x-intercept of the graph is: c. the x-intercept is 60 and it represents the number of monthly payment that is needed to repay the loan.
What is the X-intercept of a Linear Relationship?The x-intercept of a linear relationship between variable x and y can be described as the value of x when the value of y is zero.
On a graph, the x-intercept is the point on the graph where the line intercepts the x-axis. The value of y at this point is 0.
in the graph that shows a linear relationship between the number of monthly payments made and the remaining balance left on a loan, the line intercepts the x-axis at 60.
Therefore, it means: c. the x-intercept is 60 and it represents the number of monthly payment that is needed to repay the loan.
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Related Questions
help meeeeeeeeeeeeeee pleaseee
Answers
The table of solutions should be completed based on the given equation (y = 2x²) as follows:
x y_
-2 8
-1 2
0 0
1 2
2 8
Also, a graph of the solution to the given equation is shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would complete the table based on the given equation as follows:
When x = -2, the value of point y is given by:
y = 2x²
y = 2(-2)²
y = 2 × 4
y = 8
When x = -1, the value of point y is given by:
y = 2x²
y = 2(-1)²
y = 2 × 1
y = 2
When x = 0, the value of point y is given by:
y = 2x²
y = 2(0)²
y = 2 × 0
y = 0
When x = 1, the value of point y is given by:
y = 2x²
y = 2(1)²
y = 2 × 1
y = 2
When x = 2, the value of point y is given by:
y = 2x²
y = 2(2)²
y = 2 × 4
y = 8
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The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at 10 m/s? velocity 0,2,3,6,10 energy 0,20,45,180,?
Answers
The amount of energy that the ball will have at 10 m/s is; 600 J
How to find the energy from velocity?From the given table, we see that when the velocity is 2 m/s, then the energy is 20 J.
If we take the square of the velocity, we get 2² = 4.
Thus, we need to multiply 4 by 6 to get the energy that is equal to 24 as 4 * 6 = 24.
Similarly;
For velocity equal to 3 m/s, the energy is given as:
E = 6 * 3²
E = 54 J
Thus, the general formula to find the energy is given as:
E = 6 * v²
where;
E is the energy
v is the velocity
Now, for velocity equal to 10 m/s, energy is given as;
E = 6 * 10
E = 60 J
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Arianna is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let
C
C represent the total cost of using a computer for
t
t minutes at the internet cafe. The table below has select values showing the linear relationship between
t
t and
C
.
C. Determine the number of minutes Arianna can use a computer if she only has $15.75 available to pay.
Answers
Using the linear function, the number of minutes Arianna can use a computer if she only has $15.75 available to pay is 7.5 minutes.
In the given question,
Arianna is going to use a computer at an internet cafe.
The cafe charges an initial fee to use the computer and then an additional price per minute of usage.
Let C represent the total cost of using a computer for t minutes at the internet cafe.
We have to determine the number of minutes Arianna can use a computer if she only has $15.75 available to pay.
The additional change per unit = Slope of the linear function
The linear function C(t) given as;
C(t)=mt+b...............(1)
where m=slope and b=vertical intercept
Then, Slope = change in C(t)/change in t
Slope = ∆C(t)/∆t
We taking he given two point to find the slope
C(t) = 9.90 for t=1
C(t) = 15.30 for t=7
∆C(t)=15.30-9.90
∆C(t)=5.40
∆t=7-1
∆t=6
So, The required slope=5.40/6
The required slope=0.9=m
Now finding the value of b.
As we know that,
C(t) = 9.90 for t=1
The equation using this should be
9.90=m×1+b
Now putting the value of m in this equation
9.90=0.9×1+b
9.90=0.9+b
Subtract 0.9 on both side, we get
b=9
Now finding the number of minutes Arianna can use a computer if she only has $15.75 available to pay.
Putting the value in equation (1)
15.75=0.9t+9
Subtract 9 on both side
15.75-9=0.9t+9-9
0.9t=6.75
Divide by 0.9 on both side
0.9/0.9 t=6.75/0.9
t=7.5
Hence, the number of minutes Arianna can use a computer if she only has $15.75 available to pay is 7.5 minutes.
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What value of b will complete the square in the expression below and make the
expression a perfect square trinomial?
x²+bx+144
Enter the perfect square trinomial as a squared binomial.
Answers
At b= 24 will complete the square in the expression x^2 + bx + 144.
What is perfect square trinomial?
A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b^2 = 4ac has the form ax^2 + bx + c, it is said to be a perfect square. The formula for the perfect square trinomial is (ax)^2 + 2abx + b^2 = (ax + b)^2.
Consider the given expression
x^2 + bx + 144
For this type of expression [tex]b = 2\sqrt{c}[/tex] will complete the square.
Here, c = 144
√144 = 12
So, b√c = 2(12) = 24
The expression becomes,
x^2 + 24x + 144 = (x + 12)^2
This is the perfect square.
Hence, b = 24 will complete the square in the expression x^2 + bx + 144.
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Write the coordinates of the verticals after a rotation 90 degrees counterclockwise around the origin
Answers
After a counterclockwise 90° rotation, the coordinates of A'B'C' are:
A' = (3, 3)B' = (6, 5)C' = (3, 6)What are Coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.The origin is the point at which all lines in a coordinate system intersect. When x and y are both equal to zero, the axes intersect. The origin's coordinates are (0, 0). The coordinates of one point in the coordinate system are included in an ordered pair.So, the coordinates after the counterclockwise rotation of 90°:
The coordinates of ABC are:A = (3, -3)B = (6, -3)C = (5, -6)After counterclockwise 90° rotation, coordinates of A'B'C' are:
A' = (3, 3)B' = (6, 5)C' = (3, 6)(Refer to the graph attached below)
Therefore, after a counterclockwise 90° rotation, the coordinates of A'B'C' are:
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- Lyra was trying to determine the slope ratio for the triangle at right, and she
says the answer is 2.675. Isiah claims that cannot be correct. Who is
right? How do you know?
Answers
Answer:
Isiah is correct. The slope is about 0.344.
Step-by-step explanation:
Lyra and Isiah want the slope of the hypotenuse in a triangle with an angle of elevation of 19°.
SlopeThe slope is the ratio of "rise" to "run". In a right triangle, that is the ratio "opposite"/"adjacent". This ratio is the tangent of the angle of elevation.
tan(19°) ≈ 0.344
The slope is about 0.344. Isiah is correct.
Isiah knows Lyra is not correct because the slope in a triangle with a 45° angle is 1. Lyra' value of 2.675 is about right for an angle of 69.5°, much greater than either 45° or the given angle of 19°.
__
Additional comment
Unfortunately, the diagram is not drawn to scale. This is often the case with diagrams in geometry problems. The diagram here is misleading in that it seems to show a slope greater than 1 for a 19° angle.
Carlos’s is a receptionist at a law firm, he spend 2 minutes routing each phone call as it come in. Write an equation that shows how the total number of minutes Carlos spend routing call y depend on the number of call x
Answers
Answer: 2y or 2 x y
Step-by-step explanation:
2 times the minutes
therefor if carlos answers 4 calls, you would say 2 x 4 and you ranswer would be 8 minutes.
Two families go to a zoo. The Smith family of two adults and three children pay £61. The Jones family of three adults and five children pay £96. Work out the cost of an adult ticket and the cost of a child ticket. In your working, let 'a' stand for an adult ticket and 'c' stand for a child ticket.
Answers
The cost of an adult ticket is £17 and a child ticket is £9.
Let's assume 'a' for an adult ticket and 'c' for a child ticket
The cost of tickets for the Smith family of 2 adults and 3 children is £61
Equating, [tex]2a+3c=61[/tex]
[tex]2a=61-3c[/tex]
Dividing by 2, [tex]a=30.5-1.5c[/tex] (equation 1)
Now, the cost of tickets for the Jones family of three adults and five children is £96
Equating, [tex]3a+5c=96[/tex] (equation 2)
Using equation 1, [tex]3(30.5-1.5c)+5c=96[/tex]
[tex]91.5-4.5c+5c=96[/tex]
[tex]91.5+0.5c=96[/tex]
[tex]0.5c=96-91.5[/tex]
[tex]0.5c=4.5[/tex]
[tex]c = \frac{4.5}{0.5}[/tex]
[tex]c=9[/tex]
Similarly, putting the answer of equation 2 in equation 1
we get, [tex]a=30.5-1.5c[/tex]
[tex]a=30.5-1.5(9)[/tex]
[tex]a=17[/tex]
Therefore, adult tickets cost £17 and child tickets cost £9
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The manager of a large ocean front hotel would like to survey their guests to determine their satisfaction with the view from their room. The hotel has 10 floors. Half of the rooms overlook the ocean and the other half overlook the street. There are 50 rooms on each floor, for a total of 500 rooms. The hotel manager would like to select a sample of 50 rooms.
Answers
A stratified sample in this case can be selected as follows:
The rooms are divided by whether they overlook the ocean or the street, and 25 of each are selected.
How are samples classified?The five most common classifications for sampling are listed as follows:
A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.In this problem, the groups are given as follows:
Floors overlooking the ocean.Floors overlooking the street.50 rooms will be sampled, hence the number that is sampled from each group is given as follows:
50/2 = 25 rooms from each group.
Missing InformationThe problem asks to describe a stratified sample for this situation.
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Elena had 24 base hits in 110 at bats. She has done a lot of practice and now thinks that for all of her future at bats in this season, she will have a batting average of 0.350. If she does, then how many more at bats will Elena need so that with this average, she reaches a 0.300 batting average overall for the whole season?
Answers
Elena will need 180 more bats
Let she bats b more needs
Total bats = 110 + b
Base hits = 24 + 0.35 b
From the question, we have
( 24 + 0.35b) / (110 + b) = 0.300
24 + 0.35b = 33 + 0.3 b
0.05 b = 9
b = 9 / 0.05 = 180
Subtraction:
The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.
The symbol for subtraction is the letter "-". The three numerical elements that make up the subtraction operation are the minuend, the subtrahend, and the difference. As the first integer to be subtracted from in a subtraction phrase, a minuend is the first number in the subtraction process.
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2x-84=108
x=?
please help
Answers
Answer:
X=
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−84=108x
Step 1: Subtract 108x from both sides.
2x−84−108x=108x−108x
−106x−84=0
Step 2: Add 84 to both sides.
−106x−84+84=0+84
−106x=84
Step 3: Divide both sides by -106.
−106x
−106
=
84/−106x=−42/53
What’s the answer plss someone help
Answers
The value of x in the given figure is x = 22.56 m .
In the question ,
a figure is given where the measure of angle(C) = 70° and angle(A) = 30°
In the triangle ABC ,
By Angle Sum Property Of Triangle
angleA + angleB + angleC = 180°
30° + angleB + 70° = 180°
angleB = 180° - 100°
angle(B) = 80°
By using Sine Law ,
a/Sin(A) = x/Sin(C)
From the figure ,
a = 12 m
we get ,
12/Sin(30°) = x/Sin(70°)
x = (Sin70° × 12)/Sin(30°)
x = 11.2763/0.5
x = 22.5526
x ≈ 22.56 m
Therefore , The value of x in the given figure is x = 22.56 m .
The given question is incomplete , the complete question is
Find the value of x in the given figure ?
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tickets for a community theater cost $11 for each main floor seat and $6 for each balcony seat. there are 400 seats on the main floor, and these seats were sold out for the evening performance. the total revenue from ticket sales was $5060. how many balcony seats were sold?
Answers
The number of balcony seats sold is 110
Finding Unknown quantity using Linear equation:
The linear equation is an equation that is used to find an unknown quantity or an unknown number. In this, we will represent the Uknown value with a variable like x, y, z, etc.
Here we have
Tickets for a community theater cost $11 for each main-floor seat
and $6 for each balcony seat.
There are 400 seats on the main floor, which are sold out for the evening performance
The total revenue from ticket sales was $5060.
Here we don't know the number of balcony seats.
Let us assume that number of balcony seats = x
Then total revenue = 400(11) + 6x = 5060
=> 4400 + 6x = 5060
=> 6x = 5060 - 4400
=> 6x = 660
=> x = 110
Therefore,
The number of balcony seats sold = 110
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Plot the image of point P under a translation by 7 units to the left.
Answers
Answer:
-1,4
Step-by-step explanation:
move the point to the left 7 times
express (3) - (2tan^2 x) in terms of cos x
Answers
The expression of [tex]3-2tan^2x\\[/tex] in terms of [tex]cosx[/tex] is [tex]3-2(\frac{1-cos^2x}{cos^2x})[/tex]. Similarly, any tirigonometric equation can be convereted into other forms of trigonometric functions.
What is trigonometric functions?
Denoting the relation between a right-angled triangle's angle and sides are trigonometric functions, which are periodic functions.
Consider the given expression.
[tex]3-2tan^2x\\[/tex]
Now, substitute [tex]\frac{sinx}{cosx}[/tex] for [tex]tanx[/tex] as follows:
[tex]3-2tan^2x=3-2(\frac{sinx}{cosx})^2\\=3-2(\frac{sin^2x}{cos^2x})[/tex]
Now, all the terms are converted into cos x except the sin x terms in the numerator. Hence, using the relation between sin x and cos x. Substitute [tex]1-cos^2x[/tex] for [tex]sin^2x[/tex].
[tex]3-2tan^2x=3-2(\frac{1-cos^2x}{cos^2x})[/tex]
Now, all the terms are in cos x. Hence, the expression of [tex]3-2tan^2x\\[/tex] in terms of [tex]cosx[/tex] is [tex]3-2(\frac{1-cos^2x}{cos^2x})[/tex]. In the similar way any function can be conveted into other trigonometric functions.
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A right triangle's hypotenuse is 1 cm longer than twice the length of the shortest side.
The third side is 1 cm less than twice the shortest side.
Find the length (in cm) of the hypotenuse.
Answers
Answer:
17 cm
Step-by-step explanation:
You want the hypotenuse (c) in a right triangle that has c=2a+1, b=2a-1.
Pythagorean theoremThe relation between the side lengths in the right triangle is ...
a² +b² = c²
ApplicationSubstituting the given relations, we have ...
a² +(2a-1)² = (2a+1)²
a² +4a² -4a +1 = 4a² +4a +1
a² -8a = 0 . . . . . . write in standard form
a(a -8) = 0 . . . . . . factor
a = 0 or a = 8
We are almost never concerned with triangles that have 0 area, so the solution of interest is a=8. Then the hypotenuse is ...
c = 2(8) +1 = 17
The hypotenuse is 17 cm.
__
Additional comment
You may recognize these side lengths as the (8, 15, 17) Pythagorean triple.
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -9 ≤ x ≤ -4?
Answers
Answer:
2.4
Step-by-step explanation:
You want the average rate of change on the interval [-9, -4] for the graphed function.
Average rate of changeThe average rate of change (m) is the slope of the line between the points at the ends of the interval. For function f(x) on interval [a, b], this is ...
m = (f(b) -f(a))/(b -a)
ApplicationFor the function f(x) on the interval [-9, -4], the average rate of change is ...
m = (f(-4) -f(-9))/(-4 -(-9)) = (-4 -(-16))/5 = 12/5 = 2.4
The average rate of change of f(x) on [-9, -4] is 2.4.
(x-1)^2/x^2-1.
what is the x intercept
Answers
The x-intercept is 1 if the function is f(x) = (x-1)²/x²-1 after plugging f(x) = 0 or y = 0 the answer is 1.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
f(x) = (x-1)²/x²-1
To find the x-intercept where y = 0
or f(x) = 0
0 = (x-1)²/x²-1
x ≠ ±1
x - 1 = 0
x = 1
Thus, the x-intercept is 1 if the function is f(x) = (x-1)²/x²-1 after plugging f(x) = 0 or y = 0 the answer is 1.
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Find the total surface area of the cone in the figure. (Use π = 3. 14. )
Question 12 options:
A)
266. 9 cm2
B)
219. 8 cm2
C)
314. 0 cm2
D)
282. 6 cm2
Answers
The correct option A, 266. 9 cm²; total surface area of the cone given in figure is found as 266.9 sq cm.
Define the term surface area of cone?A cone's surface area is the total area that its surface takes up in a 3D plane. That curved surface area plus its circular base area will add up to the object's total surface area.A cone's surface area is calculated as the sum of its curved surface area and base area, or πr² + πrL, where r is the radius of the cone's base and L is its slant height.For the given question.
Height of cone - 12 cm Radius of cone - 5 cm π = 3. 14Put values -
Total surface area = πr (h + r)
Total surface area = 3.14 x 5 (12 + 5)
Total surface area = 3.14 x 5 x 17
Total surface area = 266.9 sq cm.
Thus, total surface area of the cone given in figure is found as 266.9 sq cm.
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1
Writing the function f(x) = 4x + 2, what does f(x) represent?
Answers
The phrase [tex]f (x)[/tex] denotes a formula with [tex]x[/tex] serving as its input variable. Not multiply f and x, though!
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable .
The x in [tex]f(x)[/tex] is referred to the argument of the function or simply the argument in function notation. Therefore, the response is just 2 if they ask for a argument and give you the equation [tex]f(2)[/tex].
Hence, the phrase [tex]f (x)[/tex] represents a formula with [tex]x[/tex] serving as its input variable.
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What’s is 3/20as a decimal I need HELP!
Answers
Brandon invested $7,900 in an account paying an interest rate of 6\tfrac{1}{8}6 8 1 % compounded daily. Jacob invested $7,900 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded monthly. After 15 years, how much more money would Jacob have in his account than Brandon, to the nearest dollar?
Answers
Using the properties of compound interest we can calculate that Jacob will have $1485 more than Brandon in his account.
Brandon invested $7,900 at the rate of 6 1/8% compounded daily.
Principal = $7900
Time = 15 years
Rate = 6 1/8% = 49/8 %
Amount earned after n years:
[tex]A=P (1+\frac{r}{n})^{nt}[/tex]
Now we will use these values to find the amount at the end of 15 years.
P = 7900
r = 0.06625
n = 365
t = 15
[tex]A=P (1+\frac{.06125}{365})^{15\times 365}[/tex]
or, A = 19797.104...
or, A ≈ 19797.1
Again, Jacob invested the same sum at compound interest monthly at
6 5/8% .
Amount earned after 15 years:
P = 7900
r = 6.125
n = 12
t = 15
[tex]A=P (1+\frac{.06625}{12})^{15\times 12}[/tex]
or, A = 21282.383..
or, A ≈ 21282.38
Amount earned by Jacob more than Brandon
= $21282.38 - $19797.1
= $148785.283..
≈ $1485
Hence Jacob will have $1485 more than Brandon in his account.
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Express each improper fraction as a mixed or whole number
Answers
All the improper fractions in mixed or whole numbers are as follows:
(A) 8/8 = 8(B) 15/3 = 5(C) 16/5 = 3⅕(D) 9/2 = 4½(E) 25/6 = 4⅙(F) 43/4 = 10¾(G) 24/2 = 12(H) 28/5 = 5⅗What are whole numbers?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. n amalgam of a whole number and a legal fraction is a mixed fraction.So, the given improper fractions in the mixed or whole numbers are:
(A) 8/8 = 8(B) 15/3 = 5(C) 16/5 = 3⅕(D) 9/2 = 4½(E) 25/6 = 4⅙(F) 43/4 = 10¾(G) 24/2 = 12(H) 28/5 = 5⅗Therefore, all the improper fractions in mixed or whole numbers are as follows:
(A) 8/8 = 8(B) 15/3 = 5(C) 16/5 = 3⅕(D) 9/2 = 4½(E) 25/6 = 4⅙(F) 43/4 = 10¾(G) 24/2 = 12(H) 28/5 = 5⅗Know more about whole numbers here:
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If $3000 is invested at tan interest rate if 4.8%, compounded hourly for two years what is the ending balance?
Answers
The final balance is $97,920.
Compound interest is calculated on the principal as well as the interest accumulated over the previous period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following period.
Given this, The principal is $3000.
Interest rate = 4.8%
Time = 2 years We must find the final balance.
The end balance formula is
C = P[ 〖(1+r)〗^n – 1]
C = 3000[ 〖(1+4.8)〗^2 – 1]
C = 3000 [ 〖(5.8)〗^2 – 1]
C = 3000 [ 33.64 – 1]
C = 3000 ( 32.64)
C = 97,920
Therefore the ending balance is $97,920
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Solve the double-ended inequality:
2x-5<4x+2<2x-3
Answer: _ _ x _ _
Answer with a number in the first box, inequality in the second box, than after the x an inequality in the 3rd box and a number in the last box.
EG 5 > x > 18
Answers
The solution of the double-ended inequality is -7/2 < x < -5/2
Solving Linear InequalitiesFrom the question, we are to solve the doubled ended inequality.
The given inequality is
2x - 5 < 4x + 2 < 2x -3
From the inequality, we can write that
2x - 5 < 4x + 2 and 4x + 2 < 2x - 3
Now, we will solve each of the inequalities separately
Solving 2x - 5 < 4x + 2
Add 5 to both sides
2x - 5 + 5 < 4x + 2 + 5
2x < 4x + 7
Subtract 4x from both sides
2x - 4x < 4x - 4x + 7
-2x < 7
Divide both sides by -2 and reverse the sign
x > -7/2
-7/2 < x
Solving 4x + 2 < 2x - 3
Subtract 2x from both sides of the equation
4x - 2x + 2 < 2x - 2x -3
2x + 2 < -3
Subtract 2 from both sides
2x + 2 -2 < -3 - 2
2x < -5
Divide both sides by 2
x < -5/2
Putting the two solutions together, we get
-7/2 < x and x < -5/2
-7/2 < x < -5/2
Hence, the solution is -7/2 < x < -5/2
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A linear function contains the following points.
What are the slope and y-intercept of this function?
A. The slope is 11/2
The y-intercept is (0, -5).
B. The slope is 2/11
The y-intercept is (0, -5).
C. The slope is 11/2
The y-intercept is (-5, 0).
D. The slope is 11.
The y-intercept is (0, -5).
Answers
Compute and expressed the result as a mixed fraction?
1) 2+ 3/4
Answers
Answer:
2 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
2 + [tex]\frac{3}{4}[/tex]
= 2 [tex]\frac{3}{4}[/tex] ← as a mixed number
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Wilson paints 40% of a bookcase in 20 minutes.
Write an equation using equal fractions to represent this situation. Use a box to represent the time it takes to paint the whole bookcase.
Answers
The time taken for Wilson to paint the bookcase is 50 minutes.
What is percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, Wilson paints 40% of a bookcase in 20 minutes. It should be noted that 40% = 0.4
Therefore, the time taken to paint the whole bookcase will be:
= Number of minutes / Percentage painted
= 20 / 0.4
= 50
He'll use 50 minutes.
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the measure of each side of an equilateral triangle whose are is [tex]\sqrt{3}[/tex] cm² is
Brainlist
Answers
The measure of each side of an equilateral triangle is 2 cm whose area is √3 cm square.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.
We have been given the measure of each side of an equilateral triangle whose area is √3 cm².
Let the measure of each side would be "a"
We know that,
Area of an equilateral triangle = √3a² / 4
As per the question,
⇒ √3 cm²= √3a² / 4
⇒ √3a² = 4√3 / √3
⇒ a² = 4 = √4
⇒ a = 2 cm
Thus, the measure of each side of an equilateral triangle is 2 cm whose area is √3 cm square.
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Shaq is climbing on the side of a mountain. From a spot on the
4
1/2 of
mountain, he climbs up of a kilometer. He then climbs down
5
a kilometer. How many kilometers is Shaq from his original starting
point?
Answers
In linear equation, 22.5 kilometer is Shaq from his original starting point.
What is linear equation?
The algebraic equation y=mx+b is known as a linear equation. m being the slope and b being the y-intercept, and just a constant and a first-order (linear) term are used. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.Shaq is he climbs up on the side of a mountain = 4 1/2 = 9/2
then he climbs down = 5 kilometer
Shaq from his original starting point = 9/2 * 5
= 45/2 = 22.5 kilometer
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