Answers
Related Questions
The length of a rectangle is five times its width. if the area of the rectangle is 320 m2 , find its perimeter. m
Answers
Final answer:
To find the perimeter of the rectangle, first find the dimensions using the given information and the formula. Then, use the formula for perimeter to calculate the final result.
Explanation:
To find the perimeter of the rectangle, we need to first find the dimensions of the rectangle. Let the width of the rectangle be w. According to the given information, the length of the rectangle is 5 times its width, so the length can be represented as 5w. The area of the rectangle is given as 320 m², so we can set up the equation:
w * 5w = 320
Simplifying this equation, we have:
5w² = 320
Dividing both sides of the equation by 5, we get:
w² = 64
Taking the square root of both sides, we find:
w = 8
So, the width of the rectangle is 8 meters. The length can be found by multiplying the width by 5:
length = 5 * 8 = 40 meters
The perimeter of the rectangle is calculated using the formula: Perimeter = 2*length + 2*width. Substituting the values we found:
Perimeter = 2*40 + 2*8
Calculating this expression, we get:
Perimeter = 80 + 16 = 96 meters
In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below: Three containers of the same shape but different sizes are shown, arranged from the shortest to the longest. The following quantities are written below the containers. x minus 1 liters below the first, x liters below the second, and x plus 1 liters below the third. How many liters of water can the three containers hold in all?
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We are adding the expressions:
(x-1)+x+(x+1)
We can combine the x terms together:
3x-1+1
Combine the -1 and +1:
3x+0
3x
Answer:
It's A 3x
Step-by-step explanation:
I just did the test it's 3x hope this helped. :)
Find the area of this shape
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area for the rectangle is L x w = 9 * 3.2 = 28.8
area of triangle = 1/2 x b x h = 1/2 x 11 x 9 = 49.5
total area = 28.8 + 49.5 = 78.3 square m
A 10ft pole is to be erected and held in the ground by four wires attached at the top. The guy wires are attached to the ground at a distance of 15 ft from the base poke. What is the exact length of each guy wire? how much wire should be purchased if it cannot be purchased in franctions of foot
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Legs = 10 ft and 15 ft.
The length of guys wire = Sqrt (10^2+15^2) = [tex]5 \sqrt{13} [/tex] ≈18.03 ft
A total of 4 guy wires.
Te total length required = 4*[tex] 5\sqrt{13} [/tex] ≈ 72.11 ft.
Since wire cannot be bought in fractions of foot, the length is rounded to the next whole number. That is,
Length required = 73 ft.
PLEASE HELP
Write the standard equation of the circle in the graph.
Question 12 options:
(x – 3)2 + (y + 2)2 = 18
(x – 3)2 + (y + 2)2 = 9
(x + 3) + (y – 2) = 9
(x + 3)2 + (y – 2)2 = 18
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The standard equation of the circle based on the given options is (x - 3)2 + (y + 2)2 = 18, which suggests a circle with a center at (3, -2) and a radius of 3√2.
The student asks to write the standard equation of the circle in the graph. To do this, we need to identify the factors of the circle equation, which are the center coordinates
(h,k) and the radius r. The general form of a circle's equation is (x - h)2 + (y - k)2 = r2. Since the radius is the square root of the number on the right-hand side
of the equation and the center coordinates come from the values that x and y are subtracted by, we can determine the equation based on the options provided. One of the statements provided by the student, (x + 3)2 + (y - 2)2 = 18, fits the right form but it suggests the wrong center coordinates and radius. The correct standard equation of a circle based on the given options would be the one with center coordinates (3, -2) and a radius of √18, which can be simplified to 3√2. This information alongside the provided options leads us to select (x - 3)2 + (y + 2)2 = 18 as the correct standard equation of the circle in question.
A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth of a foot how high off the ground is the top of the ladder?
A. 20.3 ft
B. 10.9 ft
C. 26.2 ft
D. 39.1 ft
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sin θ=opposite/ hypotenuse
from the information given:
from angle of elevation we shall have θ=90-70=20°
hypotenuse=length of the ladder=32 ft
opposite,x= distance off the ground
thus plugging the values in the formula we get:
sin 20=x/32
thus
x=32 sin 20
x=10.94465 ft
x~10.9 ft
the correct answer should be 30.1 ft
The point (1, 4) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work. (10 points)
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we know that
cos ∅=adjacent side angle ∅/hypotenuse
sin ∅=opposite side angle ∅/hypotenuse
tan ∅=opposite side/adjacent side
in this problem
adjacent side angle ∅=1 units
opposite side angle ∅=4 units
find the hypotenuse
applying the Pythagorean theorem
hypotenuse²=adjacent side²+opposite side²
hypotenuse=√[1²+4²]--------> √17
then
cos ∅=1/√17--------> cos ∅=√17/17
sin ∅=4/√17-----> sin ∅=4√17/17
tan ∅=4/1-------> tan ∅=4
Iven 5 different letters, how many different ways can you arrange 3 of them (whether they spell a word or not)
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The number of different ways you can arrange 3 out of 5 letters is 10.
Explanation:To find the number of different ways you can arrange 3 out of 5 letters, you can use the formula for combinations. The formula for combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen at a time.
In this case, n = 5 and r = 3. So the number of different ways to arrange 3 out of 5 letters is 5C3 = 5! / (3!(5-3)!) = 10.
Therefore, there are 10 different ways you can arrange 3 out of the 5 letters.
The width of a rectangle is 2/5 its length. Find the dimensions if the perimeter is 42 meters.
length = 13m, Width = 8m.
not enough information.
length = 15m, Width = 6m.
length =1 11m, Width = 10m.
Answers
•42=2(l+(2/5l)). We can have width represented at (2/5l) because it’s 2/5 of the length. Now add them together to get a single coefficient for l.
•42= 2(7/5l). Multiply 7/5 by 2.
•42= (14/5l). Multiply both sides by the reciprocal of 14/5, which is 5/14, to get l by itself.
•l= 15.
Now that we know the value of l, we know that the length is 15m. To find the width, we multiply 15 by 2/5, which is 6. Therefore, the third option is correct because the length is 15m and the width is 6m.
Answer:
the dimensions of rectangle are length = 15 m and width = 6 m
Step-by-step explanation:
Given; The width of a rectangle is [tex]\frac{2}{5}[/tex] its length i.e, [tex]w=\frac{2}{5}l[/tex]
and perimeter of rectangle is 42 meters.
Perimeter(P)of a rectangle in meters is given by:
[tex]P = 2(l+w)[/tex] ; where [tex]l[/tex] is the length of the rectangle and w is the width of the rectangle.
then, substitute the value of P =42 m and [tex]w=\frac{2}{5}l[/tex] in above formula we get;
[tex]42 = 2(l+\frac{2}{5}l) =2 \cdot (\frac{7}{5}l)[/tex]
divide both side by 2 we get;
[tex]21=\frac{7}{5}l[/tex]
On Simplify:
[tex]l = \frac{21 \cdot 5}{7} =3 \cdot 5 =15[/tex] m
Now, substitute the value of [tex]l = 15[/tex] m in [tex]w=\frac{2}{5}l[/tex] to solve for w;
[tex]w= \frac{2}{5} \cdot 15 =2 \cdot 3 =6[/tex] m
Therefore, the dimensions length = 15 m and width = 6 m
if Andy's home is worth 260,000, what is his coverage for personal property if insurance covers 50 percent?
Answers
Answer:
Amount covered by insurance = 130000
Step-by-step explanation:
Cost of Andy's home = 260000
Percentage covered by insurance = 50%
Amount covered by insurance = 50% of Cost of Andy's home
= 50% of 260000
= 0.50 * 260000 [50% written as a decimal is 0.50]
= 130000
It takes a girl 55 minutes to deliver the papers on her route. if her brother helps, it takes only 20 minutes. how long would it take her brother to deliver the papers by himself? if necessary, round to 1 decimal place.
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Answer- 31.11 minutes
Let 'T' be the total number of newspapers.
Newspapers distributed by girl alone in 55 minutes = T
Newspapers distributed by girl alone in 1 minute = T/55
Newspapers distributed by girl and boy in 20 minutes = T
Newspapers distributed by girl and boy in 1 minutes = T/20
Newspapers distributed by boy alone in 1 minute = T/20 - T/55 = 7T/220
On solving, total time taken by boy to distribute newspapers = 31.11 minutes
what is the slope of a line perpendicular to the line represented by the equation x=2y+3?
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To begin, we need to find the slope of the equation x = 2y + 3. The easiest way to find the slope is to put this equation into slope-intercept form, y=mx+b, where the variable m represents the slope. To do this, we must get the variable y alone on the left side of the equation. First, we subtract 2y from both sides.
x = 2y + 3
-2y + x = 3
Next, we subtract x from both sides.
-2y = -x + 3
Finally, we divide both sides by -2 (there cannot be a coefficient on the variable y in this form).
y = 1/2x + 3
Therefore, the slope of this equation is 1/2. However, we are looking for the slope of a line that is perpendicular to this one. This means that it creates four 90 degree angles where the lines cross, and it has the opposite reciprocal slope.
The opposite reciprocal of 1/2 is -2 (you take the opposite in this case by changing the value from positive to negative, and take the reciprocal by switching the numerator and the denominator).
Thus, your answer is -2.
Hope this helps!
The slope of a line perpendicular to the line represented by the equation x = 2y + 3 is -2.
Explanation:The equation given is x = 2y + 3. To find the slope of a line perpendicular to this line, we need to determine the slope of the given line. The given equation is not in slope-intercept form, which is y = mx + b, where m represents the slope. So, we can rewrite the equation in slope-intercept form by rearranging it as 2y = x - 3 and then dividing both sides by 2, giving us y = (1/2)x - (3/2).
The slope of the line represented by this equation is 1/2. To find the slope of a line perpendicular to this line, we take the negative reciprocal of the slope of the given line. The negative reciprocal of 1/2 is -2. So, the slope of a line perpendicular to the line represented by the equation x = 2y + 3 is -2.
A line with a slope of -2 will have a steepness that is twice as steep as the line represented by the equation x = 2y + 3.
(SPANISH) NEED HELP 100 POINTS I WILL MARK BRAINLIEST AND SAY THANK YOU SERIOUS ANSWERS ONLY
Create a public service announcement in Spanish on severe weather procedures to encourage the community to be prepared. Use the graphic organizer to help organize your ideas and to write the vocabulary that you need to create your public service announcement. Refer to pages 1, 2 and 3 of the lesson area for terms and ideas to help you fill out the organizer and, ultimately, create your PSA.
This announcement can be a flyer, a radio message, or a TV message.
You can select the severe weather event that is approaching or imminent.
Describe the severe weather event and tell the community how to protect themselves before, during, or after the weather event.
Include at least 10 ideas related to the severe weather event and the procedures to get prepared
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El cambio climático ha empeorado en los últimos años, la razón principal es la contaminación excesiva tanto del aire, del agua, del suelo y muchas otras cosas.
Todos debemos tomar conciencia del daño que estamos ocasionando con la contaminación excesiva. El cambio climático nos ha traído grandes problemas por no actuar con responsabilidad en el cuidado del medio ambiente. Si no tomamos conciencia de lo que estamos perjudicando, en un tiempo más adelante habrá consecuencias negativas peores de las que ya hay.
El cambio climático no se da de forma negativa por sí solo, somos nosotros los que estamos perjudicándolo con la contaminación.
deberiamos de Cuidar la planeta para que no haya tanto exceso de contaminación y así evitar cambios drásticos en el clima.
El cambio climático ha empeorado en los últimos años, la razón principal es la contaminación excesiva tanto del aire, del agua, del suelo y muchas otras cosas.
Todos debemos tomar conciencia del daño que estamos ocasionando con la contaminación excesiva. El cambio climático nos ha traído grandes problemas por no actuar con responsabilidad en el cuidado del medio ambiente. Si no tomamos conciencia de lo que estamos perjudicando, en un tiempo más adelante habrá consecuencias negativas peores de las que ya hay.
El cambio climático no se da de forma negativa por sí solo, somos nosotros los que estamos perjudicándolo con la contaminación.
deberiamos de Cuidar la planeta para que no haya tanto exceso de contaminación y así evitar cambios drásticos en el clima
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What equation represents the asymptote of g(x)=e^x+4?
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Final answer:
The horizontal asymptote of the function g(x) = e^x + 4 is the line y = 4.
Explanation:
The question asks about the asymptote of the function g(x) = e^x + 4. An asymptote is a line that a graph approaches but never touches. To find the horizontal asymptote of this function, observe that as x approaches positive or negative infinity, the term e^x either grows very large or approaches zero. Therefore, the term +4 determines the horizontal asymptote since it shifts the entire graph of e^x up by 4 units. Thus, the horizontal asymptote is the line y = 4, which means the function approaches this line but never reaches it for x tending toward positive or negative infinity.
Which number is irrational? A. Syntax error from line 1 column 53 to line 1 column 60. Unexpected '0'. B. 1 over 9 C. square root of 12 D. fraction numerator square root of 64 over denominator square root of 4 end fraction
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3^7=2187 converting from exponential to logarithm
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y= b^x x=logb^y
7=log3 ^2187
can you do the rest?
It can be written as [tex]\rm{log_32187 = 7}[/tex].
LogarithmA log function is a way to find how much a number must be raised in order to get the desire number. [tex]a^c = b[/tex] can be written as
[tex]\rm{log_{a}b= c}[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
[tex]\rm{log_{10}1000 = 3}[/tex]
Given to us,
Exponential, [tex]3^7 = 2187[/tex]
Now, a = 3, b= 2187, and c = 7.
Therefore, it can be written as [tex]\rm{log_32187 = 7}[/tex].
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Recycled newspaper sells for $5.00 for 1 ton. The United States recycled 6.6 million tons of newspaper during 1991. Use the distributive property to find how much money was made from the sale of recycled newspapers in 1991.
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Answer:
$33,000,000
Step-by-step explanation:
Recycled newspaper sells for $5.00 for 1 ton.
Let x ton be the amount recycled in 1991 by U.S.
so to represented this situation expression will be F(x) = 5 x
Now we replace x = 6.6 million tons
≈ 6.6 × [tex]10^{6}[/tex] tons
Total money made by recycling 6.6 × [tex]10^{6}[/tex] tons
= 5 × 6,600,000
= $33,000,000
In 1991 U.S. made $33,000,000 from the sale of recycled newspapers.
The daily energy requirement, E (kilojoules), for a person of mass m ( kilograms) is calculated using the rule E=9m+8100
For Gavin, E= 8865
What is Gavin’s mass
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E = 9m + 8100
Substituting E = 8865 we have:
8865 = 9m + 8100
Clearing m we have:
9m = 8865-8100
m = (8865-8100) / (9)
m = (765) / (9)
m = 85 Kg
Answer:
Gavin's mass is:
m = 85 Kg
Suppose a map company wants to produce a globe with a surface area of 450 in2. use the formulaa equals 4 πr squared , where a is the surface area and r is the radius of the sphere. to the nearest tenth, what is the radius of the sphere? inches
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[surface area of a sphere]=4*pi*r²
r²=surface area/(4*pi)
r=√[surface area/(4*pi)]
surface area=450 in²
r=√[450/(4*pi)]------> r=5.98 in------------> r=6 in
the answer is
r=6 in
A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble?
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first event 12/35 times second event 10/34
12/119
Answer: first event 12/35 times second event 10/34
12/119
How do I do this one ?
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Explnation:
Since all the equations are parabolas, to find which one has a maximum at (9,7) you must verify two conditons:
1) the parabola opens downwards, and
2) the vertex is (9,7)
The first condtion means that the coefficient of the quadratic term is negative.
All the equations given meet that condition.
Therefore you have to find the vertex.
The vertex of a parabola is at the point where x = - b /(2a)
So, prove one by one.
Equation b a x = -b/(2a)
-x² -18x - 88 -18 -1 - 9 ⇒ not our equation (we aim to x = 9)
(jump to the last option)
-x² + 18x - 74 18 -1 9 ⇒ y = - (9)² + 18(9) - 74 = -81+162-74=7
Therefore, the last equation is the one.
How much would it be to get 67.1 to 73.3?
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A bacteria culture starts with 150 bacteria and after 4 hours the population consists of 250 bacteria.what is the rate of the increase to the nearest percent?
a.11%
b.13%
c.15%
d.17%
Answers
A = Pe^(rt)
250=150e^(4t)
250/150=e^(4t)
In(250/150)=4t
t=In(250/150)/4=.1277or .13*100%=13%
The rate of increase of the bacteria population is found by calculating the population increase (final amount - initial amount), dividing by the initial amount, and multiplying by 100 to get the percentage. The calculated value is 66.66%, which doesn't match with any of the provided options.
Explanation:The subject of this question is bacterial population growth, which falls under the mathematics category, specifically in the section known as growth rates. To find the rate of increase of the bacteria population, first, we have to find the increase in the population amount, which is the final amount (250 bacteria) minus the initial amount (150 bacteria). This gives us an increase of 100 bacteria.
Next, divide this increase (100) by the initial amount (150 bacteria) and multiply by 100 to convert it to a percentage. This gives the formula (250-150)/150*100 = 66.66%. But among the provided choices, we don't have this exact value, which implies that there might be a miscommunication or typographical error in the question.
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Which of the following equations is non-linear?
A. 5x + 1 = -4x + y
B. y - 2 = 3x + |-2|
C. x + 4y = 2y + 15 - x
D. y + 10y - 3 = 2|x| - 4y
Answers
A line that has the absolute value of a variable is not linear
The answer is D) y + 10y - 3 = 2/x/ - 4y
Hope this helps!
The following data needs to be put into a stem-and-leaf plot.36.7, 38.1, 35.4, 37.4, 39.0, 33.6, 34.7, 36.9, 38.7, 35.5, 36.8, 33.7, 34.8, 39.7, 37.2, 36.8Which list shows all the stems needed to accurately create a stem-and-leaf plot?1. 32. 3, 4, 5, 6, 7, 8, 93. 0, 1, 2, 4, 5, 6, 7, 8, 94. 33, 34, 35, 36, 37, 38, 39
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With the numbers given, you should use the whole number as the stem and the decimal as the leaf.
The whole numbers are 33,34,35,36,37,38,39
Answer:
The last one. Which is choice D.
What is the linear function that best fits the data set?
Answers
Please, see the attached file.
Thanks.
the dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting recatangle is 126 in2. What was the original side length of the square
Answers
x--------> original length side of a square
we know that
area rectangle=length*width
area=126 in²
length=(x+8)
width=(x-3)
so
126=(x+8)*(x-3)------> x²-3x+8x-24=126----> x²+5x-150=0
using a graph tool------> to resolve the second order equation
see the attached figure
the solution is
x=10 in
the answer is
the original length side of a square is 10 in
The original side of square is [tex]10\;\rm{in[/tex].
Given: the dimensions of a square are altered so that [tex]8[/tex] inches is added to one side while [tex]3[/tex] inches is subtracted from the other. The area of the resulting recatangle is [tex]126\;\rm{in^2}[/tex].
As per question,
Let the side of square be [tex]x[/tex].
According to the question,
Length of new rectangle be [tex]x+8[/tex].
Breadth of new rectangle be [tex]x-3[/tex]
Area of rectangle [tex]=l\times b[/tex]
[tex](x+8)(x-3)=126[/tex]
[tex]x^2+8x-3x-24=126\\[/tex]
[tex]x^2+5x-150=0[/tex]
[tex]x^2+15x-10x-150=0\\x(x+15)-10(x+15)=0\\[/tex]
[tex](x+15)(x-10)=0\\[/tex]
So, [tex]x=10\;\rm{in[/tex] and neglecting [tex]x=-15\;\rm{in[/tex] as distance can't be negative.
Hence, original side of square is [tex]10\;\rm{in[/tex].
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Please help me!! Thankyou!!
Answers
Last week Jackson read 262.5 pages of a new adventure book. If he read for 5.25 hours how many pages did Jackson read per hour?
Answers
Answer: 50 pages per Hour
Step-by-step explanation:
Please help!!! Will give brainly if correct!! 50 points
Answers
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option
41.71%
Answer:
175 students.
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option