2. The logo shown below was created by splitting a circle into 6 equal sections. Raphael is creating a stage-sized version of this logo where the shaded portions will be covered in fabric.
If the radius of the circle is 12 feet, how much fabric will he need in order to cover the shaded portions?
In the space that is given, tell what formulas you used and show how solved to get your answer.
Let π =3.14
Answers
[tex]A= \frac{1}{2}\pi (12)^2 [/tex]
Simplifying, we find that the area of the fabric is exactly
[tex] \frac{1}{2} \pi (144)= \frac{144}{2} \pi=72\pi [/tex] ft.² Using the approximation of 3.14 for π, we get an area of approximately [tex]72(3.14)=226.08[/tex] ft² of fabric.
Answer:
226.08
Step-by-step explanation:
Related Questions
what is the inverse of the function h(x) = 3x^2 - 1?
Answers
To find the inverse, we need to interchange the variables and solve for y.
So, the answer is
[tex]h ^{-1}(x)= \sqrt{3(1+x)/3 [/tex] , [tex]- \sqrt{3(1+x)}/3[/tex]
I hope this helps!
1. Trade places between y and x (h(x) and x in this case)
2. Solve for y (h(x) in this case)
3. That's all!
Let's solve it now:
1. Trade places between h(x) and x: [tex]x = 3(h(x))^{2} -1[/tex]
2. Solve for h(x):
[tex]3(h(x))^{2} = x+1 \\ (h(x))^{2} = \frac{x+1}{3} \\ h(x) = + \sqrt{ \frac{x+1}{3} } [/tex] or [tex]- \sqrt{ \frac{x+1}{3} }[/tex]
3. So, the inverse is system of graphs [tex]h(x) = + \sqrt{ \frac{x+1}{3} }[/tex] and [tex]h(x) = - \sqrt{ \frac{x+1}{3} }[/tex]
Express the given terminating decimal as a quotient of integers. if possible, reduce to lowest terms. 0.66
Answers
66/100
We can reduce this by dividing each number by the same amount - 2
33/50
The number 0.66 can be written as a terminating decimal as a quotient of integers is 33/50.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The decimal number is 0.66 which is non-terminating.
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We can write the number 0.66 as:
= 66/100
= On simplification:
= 33/50
Thus, the number 0.66 can be written as a terminating decimal as a quotient of integers is 33/50.
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When x is divided by 3 the quotient is more than 7
Answers
I.e. the quotient of 4 and 2 is 2 (since 4 ÷ 2 = 2)
So when x is divided by 3, the quotient is more than 7
We can make the algebraic expression:
' x / 3 ' is more than 7
x / 3 > 7
We then simplify:
x / 3 > 7
x > 21
Then answer is 'x is greater than 21'
Solve the inequality. g – 6 > –1
Answers
Answer:
g>5
Step-by-step explanation:
g-6>-1
+6 to both sides
g is left alone :)
can someone tell me what the answer for this problem is? (and how you are able to get that answer)
Answers
now, if you set y to 0, so you can solve for "x", you'll notice, you'll get 7 twice, you can see it from (x-7) twice there, it has that root twice.
so, when x = 7, y = 0, that's the x-intercept, or so-called a solution or zeros.
now, it happens twice though, so, that simply means, the root of 7 has a multiplicity of 2 and is an even multiplicity, and even number, and when that happens, the graph doesn't really cross the x-axis, it simply bounces off of it.
so the graph goes down down, gets to 7, bounces back up, well, it made a U-turn, that's the vertex, at 7,0 as well.
to find the y-intercept, simply set x = 0, let's do so
[tex]\bf y=\cfrac{1}{2}(x-7)(x-7)\implies y=\cfrac{1}{2}(0-7)(0-7)\implies y=\cfrac{1}{2}(-7)(-7) \\\\\\ y=\cfrac{49}{2}\implies y=24.5[/tex]
so is at 0, 24.5
the stretch will be the coefficient in front of the function, in this case is 1/2, is stretches in relation to the y-axis by twice as much.
The length of a train car is 50.6 feet. this is 5.8 feet less than six time the width. what is the width?
Answers
50.6ft =6x-5.8ft <--- solve for x
50.6+5.8=6x
56.4 ft=6x
56.4/6=x
9.4 ft = x
Therefore the width of the train is 9.4 ft
Hope I helped :)
Which of the following is NOT a typical method of payment for a job?
A. paycheck
B. money order
C. direct deposit
D. cash
Answers
The coordinates of the vertices of △RST are R(−3,1), S(−1,4), and T(3,1) .
Which statement correctly describes whether △RST is a right triangle?
△RST is a right triangle because RS¯¯ is perpendicular to RT¯¯ .
△RST is a right triangle because RS¯¯ is perpendicular to ST¯¯ .
△RST is a right triangle because ST¯¯ is perpendicular to RT¯¯.
△RST is not a right triangle because no two of its sides are perpendicular.
Answers
Final answer:
△RST is a right triangle because the slope of line RS is 3/2 and the slope of line RT is 0, indicating that RS is perpendicular to RT.
Explanation:
To determine whether △RST is a right triangle, we can calculate the slopes of the sides to check for perpendicularity. A right triangle will have one pair of sides that are perpendicular to each other, meaning their slopes will be negative reciprocals.
The slope of line RS is calculated using the coordinates R(-3,1) and S(-1,4) as:
Slope of RS = (4 - 1) / (-1 + 3) = 3 / 2
The slope of line RT is calculated using the coordinates R(-3,1) and T(3,1) as:
Slope of RT = (1 - 1) / (3 + 3) = 0 / 6 = 0
Since the slope of RS is a non-zero finite number and the slope of RT is zero, they are perpendicular to each other because the slope of a line perpendicular to a horizontal line (slope of 0) is undefined, which is the negative reciprocal of 0.
Therefore, the correct statement is:
△RST is a right triangle because RS‾ is perpendicular to RT‾.
Final answer:
Upon calculating the slopes of the sides of △RST, it is concluded that none of the sides are perpendicular to one another, which means that △RST is not a right triangle.
Explanation:
To determine if △RST is a right triangle, we need to calculate the slopes of the sides to check for perpendicularity because perpendicular lines have slopes that are negative reciprocals of each other. Let's calculate the slopes of line segments RS, ST, and RT.
Slope of RS is given by (4 - 1)/(-1 + 3) = 3/2.
Slope of ST is (4 - 1)/(-1 - 3) = 3/-4 = -3/4.
Slope of RT is (1 - 1)/(3 + 3) = 0/6 = 0.
Since the slope of RT is 0, it means that RT is a horizontal line. The slope of RS is 3/2, and the slope of ST is -3/4. These slopes are not negative reciprocals of each other. Hence, none of the lines are perpendicular to each other, and we can conclude that △RST is not a right triangle because no two of its sides are perpendicular.
Hidemi is a waiter. He waits on a table of 4 whose bill comes to $90.27. If Hidemi receives a 15% tip, approximately how much will he receive?
$4.50
$103.50
$13.50
$13.05
Answers
Hidemi will receive a tip approximately amount of $13.50 which is the correct answer would be option (C).
Hidemi works as a waiter. He serves a table of four with a bill of $90.27. If Hidemi gets a 15% tip which is given in the equation.
What is the percentage?The percentage is defined as a ratio stated as a fraction of 100.
For example, if Shekharaman received a 57% on his quiz, she received a 67 out of 100. It is written as 57/100 in fractional form and 57:100 in ratio form.
We have to determine the evaluation of 15% of $90.27.
⇒ 15% of 90.27
15% is described as 15/100 in fractional form
⇒ (15/100)(90.27)
15/100 is expressed as 0.15 in decimal form
⇒ (0.15)(90.27)
Apply the multiplication operation, and we get
⇒ 13.540 ≈ 13.50
Therefore, He will receive a tip approximately amount of $13.50.
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535 students of the senior class voted to take a field trip ir 3/4 of the class voted, how many students voted for the trip? Round your answer to the nearest whole number.
Answers
Answer:
401 students voted for the trip .
Step-by-step explanation:
As given in the question
535 students of the senior class voted to take a field trip[tex]\frac{3}{4}[/tex] of the class voted .
Thus
[tex]Students\ voted\ for\ the\ trip = \frac{3}{4}\times Total\ students[/tex]
Put value in the above
[tex]Students\ voted\ for\ the\ trip = \frac{3\times 535}{4}[/tex]
[tex]Students\ voted\ for\ the\ trip = \frac{1605}{4}[/tex]
= 401
Therefore 401 students voted for the trip .
he coordinates of the vertices of △JKL are J(3, 0) , K(1, −2) , and L(6, −2) . The coordinates of the vertices of △J′K′L′ are J′(−3, 1) , K′(−1, 3) , and L′(−6, 3) .
Which statement correctly describes the relationship between △JKL and △J′K′L′ ?
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a translation 1 unit up followed by a reflection across the y-axis, which is a sequence of rigid motions.
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the x-axis followed by a reflection across the y-axis, which is a sequence of rigid motions.
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 180° about the origin followed by a translation 1 unit up, which is a sequence of rigid motions.
△JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.
Answers
Rotating JKL 180° with respect to the origin, and translating it 1 unit up, we get J'K'L'.
That is, the 2 triangles match perfectly.
Answer:
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 180° about the origin followed by a translation 1 unit up, which is a sequence of rigid motions.
Answer:
As Given :The coordinates of the vertices of △JKL are J(3, 0) , K(1, −2) , and L(6, −2) . The coordinates of the vertices of △J′K′L′ are J′(−3, 1) , K′(−1, 3) , and L′(−6, 3) .
⇒As we can see the two triangles are congruent because length of sides are equal.i.e By SSS ΔJKL and ΔJ'K'L' are congruent.
⇒ As you can see from the figure depicted below the triangle JKL is rotated by an angle of 180° then translation of y coordinate by 1 unit up has taken place.
So , Option (3) is correct which is :△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 180° about the origin followed by a translation 1 unit up, which is a sequence of rigid motions.
What is 26.895 rounded to (2dp decimal points)
Answers
A line that passes through the points (2,1) and (k,5) is perpendicular to the line y=3x-9. Find the value of k
Answers
[tex]-\frac{1}{3}=\frac{5-1}{k-2}[/tex]
[tex]-\frac{k-2}{3}=4[/tex]
[tex]k-2=-12[/tex]
[tex]k=-10[/tex]
The value of k, which forms a line perpendicular to y=3x-9 passing through the points (2,1) and (k,5), is -2. This is determined by using the slope formula and the property that the slope of a line perpendicular to a given line is the negative reciprocal of the given line's slope.
Explanation:The subject of this question is linear equations in mathematics, specifically about finding the slope and working with perpendicular lines. The given equation, y=3x-9, represents a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this given equation, the slope (m) is 3 and the y-intercept (b) is -9.
If another line is perpendicular to this line, its slope is the negative reciprocal of the given line's slope. Therefore, the slope of the line that passes through the points (2,1) and (k,5) would be -1/3.
The slope formula, (m = (y2 - y1) / (x2 - x1)), can be used to find the value of k. So, we have -1/3 = (5 - 1) / (k - 2). From this, you can solve for k to find that k = -2.
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what will be the result of substituting 2 for x in both expressions below?
Answers
Answer:
the anwser is A
Step-by-step explanation:
if you didnt understand the top
Casey bought sandwiches and bags of chips. Each sandwich cost three times as much as a bag of chips. She bought 5 sandwiches for $6 each and spent $42. How many bags of chips b did she buy?
Answers
Answer:
She bought 6 bag of chips.
Step-by-step explanation:
Let the price of bag of chips be s.
Each sandwich cost three times as much as a bag of chips.
Cost of sandwich = 3s
She bought 5 sandwiches for $6.
That is cost of sandwich = 3s = 6
s = 2$
Cost of bag of chips = s = 2$
Price of 5 sandwiches = 5 x 6 = 30 $.
She spent $42, remaining money = 42 - 30 =12 $
Number of bag of chips can be bought with 12 $
[tex]n=\frac{12}{2}=6[/tex]
She bought 6 bag of chips.
Which expression is a difference of cubes?
A.9w^33 - y^12
B.18p^15 - q^21
C.36a^22 - b^16
D.64c^15 - d^27
Answers
(4c^5)^3 - (d^9)^3
The expression 64c¹⁵-d²⁷ having a difference of cube will be (4c⁵)³ - (d⁹)³. The correct option is D.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 64c¹⁵-d²⁷. the expression will be written in the power of a cube as below:-
64c¹⁵-d²⁷ = (4c⁵)³ - (d⁹)³
Therefore, the expression 64c¹⁵-d²⁷ having a difference of cube will be (4c⁵)³ - (d⁹)³. The correct option is D.
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Find the parabola of the form y=ax2+b which best fits the points (−1,0), (5,5), (6,10) by minimizing the sum of squares, s, given by
Answers
That is,
{x} = [-1, 5, 6]
{y} = [0, 5, 10]
Let the curve of the best least squares fit be
y = ax² + b
The sum of the squares of errors between the data and the curve is
[tex]E = \sum_{i=1}^{3} (ax_{i}^{2}+b-y_{i})^{2}[/tex]
To minimize the error requires that
[tex] \frac{\partial E}{\partial a} =0\\ 2\sum x_{i}^{2} (ax_{i}^{} + b - y_{i} ) = 0[/tex]
Also,
[tex] \frac{\partial E}{\partial b} =0 \\ 2 \sum (ax_{i}^{2} + b - y_{i} ) = 0[/tex]
Therefore the normal equations are
(x₁⁴+x₂⁴+x₃⁴)a + (x₁²+x₂²+x₃²)b = x₁²y₁+x₂²y₂+x₃²y₃ (1)
(x₁²+x₂²+x₃²)a + 3b = y₁+y₂+y₃ (2)
From the given data, obtain
1922a + 62b = 485
62a + 3b = 15
The solution of these equations yields
a = 0.2732
b = -0.6452
The required curve is
y = 0.2732x² - 0.6452
A graph of the curve and the given data is shown below.
Answer: y = 0.2732x² - 0.6452
The optimal least squares fit for the given data is y = 0.2732x² - 0.6452. This curve minimizes the sum of squared errors, providing an accurate representation of the data.
The provided data points are (-1, 0), (5, 5), and (6, 10), denoted as {x} = [-1, 5, 6] and {y} = [0, 5, 10]. The goal is to find the least squares fit for the curve y = ax² + b. To minimize the sum of squared errors between the data and the curve, the normal equations are derived.
The normal equations are given by:
(x₁⁴ + x₂⁴ + x₃⁴)a + (x₁² + x₂² + x₃²)b = x₁²y₁ + x₂²y₂ + x₃²y₃ (Equation 1)
(x₁² + x₂² + x₃²)a + 3b = y₁ + y₂ + y₃ (Equation 2)
By substituting the given data, the equations become:
1922a + 62b = 485
62a + 3b = 15
Solving these equations yields the values: a = 0.2732 and b = -0.6452. Therefore, the curve of the best least squares fit is y = 0.2732x² - 0.6452.
In conclusion, the curve that minimizes the sum of squared errors for the provided data points is y = 0.2732x² - 0.6452. The graph of this curve, along with the given data, visually represents the accuracy of the least squares fit.
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Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 855 people, 47 people had hearing aids.
Answers
Find the exact value of cot60°.
Answers
Answer:
The exact value is [tex]\cfrac{\sqrt{3}}3[/tex]
Step-by-step explanation:
Since 60 degrees is an angle we can find on the unit circle, the goal to get an exact value is to use the elements of the unit circle, which are exact values of sine and cosine.
Writing cotangent in terms of sine and cosine
We can use the trigonometric identity
[tex]\cot \theta = \cfrac{\cos \theta }{\sin \theta }[/tex]
Thus for the exercise we will have
[tex]\cot 60^\circ = \cfrac{\cos 60^\circ }{\sin 60^\circ }[/tex]
Identifying the known exact values.
From the unit circle that you can see on the attached image below, we have to identify the exact values of cosine and sine of 60 degrees.
So first try to look for the angle 60 degrees, there you will see a point that has a pair of values, those represent (cosine, sine), thus we get:
[tex]\cos 60^\circ=\cfrac 12 \\\\\sin 60^\circ = \cfrac{\sqrt3}2[/tex]
Finding the exact value of cot 60 degrees.
We can replace the exact values of sine and cosine on the trigonometric identity for cotangent.
[tex]\cot 60^\circ = \cfrac{\cfrac 12 }{\cfrac{\sqrt 3}2 }[/tex]
Working with the reciprocal we get
[tex]\cot 60^\circ = \cfrac 12\times \cfrac2{\sqrt 3}[/tex]
Simplifying we get
[tex]\cot 60^\circ = \cfrac 1{\sqrt 3}[/tex]
Rationalizing since we usually do not want square roots on the denominator we get
[tex]\cot 60^\circ = \cfrac 1{\sqrt 3} \times \cfrac{\sqrt 3}{\sqrt 3}\\\boxed{\cot 60^\circ = \cfrac {\sqrt 3}3}[/tex]
And that is the exact value of cotangent of 60 degrees.
The exact value of cot(60°) is √3 / 3.
How did we get the value?To find the exact value of cot(60°), we can use the identity:
cot(θ) = 1 / tan(θ)
Since tan(θ) = sin(θ) / cos(θ), we need to find the values of sin(60°) and cos(60°).
In a 30-60-90 degree triangle, the sides are in the ratio 1 : √3 : 2. Since the angle is 60°, the opposite side (opposite the 60° angle) has length √3 and the adjacent side (adjacent to the 60° angle) has length 1.
Using these values, we can calculate the sine and cosine of 60°:
sin(60°) = opposite/hypotenuse = √3/2
cos(60°) = adjacent/hypotenuse = 1/2
Now, we can find cot(60°):
cot(60°) = 1 / tan(60°)
= 1 / (sin(60°) / cos(60°))
= 1 / (√3/2 / 1/2)
= 1 / (√3/1)
= 1 / √3
= √3 / 3
Therefore, the exact value of cot(60°) is √3 / 3.
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Given the statements, "A square root of 16 is 4," and "A square root of 9 is -3," complete the following blanks with the correct truth-values.
P is (true or false) and q is (true or false) , so the statement, "A square root of 16 is 4 or a square root of 9 is -3" is (true or false) .
Answers
thats the answer
Answer:
P is True and q true is , so the statement, "A square root of 16 is 4 or a square root of 9 is -3" is false .
Explanation:
The table of conjunctions show:
If p is true and q is true, then p & q are trueIf p is true and q is false, then p & q are falseIf p is false and q is true, then p & q are falseIf p is false and q is false, then p & q are falseThe first statement, "A square root of 16 is 4," (p), is true.
The second statement, "a square root of 9 is -3," (q), is true.
Therefore, p & q is true.Ricky bought flowers for Susan he spent a total of $14.85 and bought 13 flowers if you knows Lillys cost $1.25 and tulips cost $.90 how many of each flower did he buy Susan
Answers
Total amount spent = $14.85
Total number of flowers = 13
The cost of a lily = $1.25
The cost of a tulip = $0.90
Let x = the number of lilies bought
Let y = the number of tulips bought
Therefore
x + y = 13 (1)
1.25x + 0.9y = 14.85 (2)
From (1),
y = 13 - x (3)
Substitute (3) into (2).
1.25x + 0.9(13 - x) = 14.85
0.35x + 11.7 = 14.85
0.35x = 3.15
x = 9
y = 13 -x = 4
Answer:
9 lilies
4 tulips
which of the following pairs of functions are inverses of each other?
Answers
Answer:
The pair which are inverse of each other are:
Option: C
[tex]f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}[/tex]
Step-by-step explanation:
Two functions f(x) and g(x) are said to be inverse of each other if:
fog(x)=gof(x)=x
i.e. the composition of two functions give identity no matter what the order is.
A)
[tex]f(x)=\dfrac{x}{12}+15[/tex] and [tex]g(x)=12x-15[/tex]
Now we calculate fog(x):
[tex]fog(x)=f(g(x))\\\\fog(x)=f(12x-15)\\\\fog(x)=\dfrac{12x-15}{12}+15\\\\fog(x)=x-\dfrac{15}{12}+15\\\\fog(x)=x-\dfrac{55}{4}\neq x[/tex]
Hence, option: A is incorrect.
B)
[tex]f(x)=\dfrac{3}{x}-10\ and\ g(x)=\dfrac{x+10}{2}[/tex]
Now we calculate fog(x):
[tex]fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+10}{3})\\\\fog(x)=\dfrac{3}{\dfrac{x+10}{3}}-10\\\\fog(x)=\dfrac{9}{x+10}-10\neq x[/tex]
Hence, option: B is incorrect.
D)
[tex]f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3[/tex]
Now we calculate fog(x):
[tex]fog(x)=f(g(x))\\\\fog(x)=f(9-x^3)[/tex]
[tex]fog(x)=9+\sqrt[3]{9-x^3}\neq x[/tex]
Hence, option: D is incorrect.
C)
[tex]f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}[/tex]
Now we calculate fog(x):
[tex]fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+4}{11})[/tex]
[tex]fog(x)=11\times (\dfrac{x+4}{11})-4\\\\fog(x)=x+4-4\\\\fog(x)=x[/tex]
Similarly,
[tex]gof(x)=g(f(x))\\\\gof(x)=g(11x-4)\\\\gof(x)=\dfrac{11x-4+4}{11}\\\\gof(x)=\dfrac{11x}{11}\\\\gof(x)=x[/tex]
Hence, option: C is the correct option.
Answer:
D.f(x)=8x³+6 and g(x)=³x-6/8
Step-by-step explanation:
apex
A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 173 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?
Answers
Answer:
[tex]\frac{4,671}{59} pounds[/tex] of mulch and [tex]\frac{5,536}{59}pounds[/tex] of gravel were sold.
Step-by-step explanation:
Mass of mulch sold = x pounds
Mass of gravel sold = y pounds
Total mass of mulch and gravel sold = 173 pounds
x + y = 173 ...[1]
Supplier sells [tex]2\frac{1}{4}[/tex] pounds of mulch for every [tex]1\frac{1}{3}[/tex] pounds of gravel.
That is for [tex]\frac{9}{8}[/tex] pounds of mulch for every [tex]\frac{4}{3}[/tex] pounds of gravel.
Then gravel sold for 1 pound mulch = [tex]\frac{4}{3}\times \frac{8}{9}=\frac{32}{27} pounds[/tex]
Then for x pounds of mulch the gravel sold will be:
[tex]\frac{32}{27} pounds\times x[/tex]
Mass of gravel sold = [tex]y = \frac{32}{27} pounds\times x[/tex]
Putting value of y in [1] :
[tex]x + \frac{32}{27} pounds\times x = 173[/tex]
x =[tex]\frac{4,671}{59} pounds[/tex]
y = [tex]173 pounds -\frac{4,671}{59} pounds=\frac{5,536}{59}pounds[/tex]
[tex]\frac{4,671}{59} pounds[/tex] of mulch and [tex]\frac{5,536}{59}pounds[/tex] of gravel were sold.
A car is traveling at a rate of 120 kilometers per hour. what is the car's rate in miles per hour? how many miles will the car travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers.
Answers
1 mile = 1.6 km
speed = 120 km per hr
divide 120 with 1.6 to get in miles=120/1.6
= 75 miles per hour
speed = 75 miles per hour
So, in 1 hr, it can travel 75 miles
the distance traveled by car in 5 hours = 75*5=375 miles
Result : Speed = 75 miles per hour , distance = 375 miles
A candle is 7 in. tall after burning for 1 h. The same candle is 5 1/2 in. tall after burning for 4 h. How tall will the candle be after burning for 6 h?
Answers
Answer: 4 1/2 in
Step-by-step explanation: correct on gradpoint
potatoes are selling for $0.48 per pound. how much is 12 lbs. of potatoes?
A $57.60
B $60.06
C $5.76
D $6.06
Answers
The answer is C ) $5.76
If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?
A. (0, –2)
B. (1, –1)
C. (2, 0)
D. (3, 3)
Answers
Answer:
(3,3)
Step-by-step explanation:
Write an expression for the sum of four consecutive odd integers where 2n +1 represents the smallest odd integer.
Answers
the four odd numbers are 2n+1, 2n+3, 2n+5, 2n+7
2n+1+2n+3+2n+5+2n+7=8n+16
Find the area of triangle QRS. Round the answer to the nearest tenth. A. 19.4 square units B. 91.2 square units C. 1,040.5 square units D. 1,052.4 square unts
Answers
Since we are given with the measurements of all sides, we use the Heron's formula.
A = sqrt ((s)(s - a)(s - b)(s - c))
where s is the semiperimeter and a, b, and c are the measures of the sides.
s = (a + b + c) /2
s = (13 + 15 + 16) / 2 = 22
Substituting this to the equation for the area,
A = sqrt ((22)(22 - 13)(22 - 15)(22 - 16))
A = 91.19 square units
Thus, the area is approximately equal to 91.2 square units. The answer is letter B.
Answer: Letter B.
Step-by-step explanation:
Trey runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48 minutes?