Answers
Answer: Width = 4.7 meters, Length = 6.7 meters
Step-by-step explanation:
Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].
[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]
Related Questions
what is the line segment addition to fall the distance of the given line segment
Answers
By looking at the number line we got:
AB =5
BC=5
CD=35
So:
AC = AB+BC = 5+5=10
AD =AB+AC+CD =5+5+35=45
BD = BC+CD = 5+35 =40
I’m so confused can someone help me solve this step by step?
Answers
Bases on the red line that represents the angle, we can see that:
[tex]\angle VRS\cong\angle RUT[/tex][tex]\angle SVR\cong\angle UTR[/tex]Therefore, they are similar by AA.
Multiply binomial by polynomials
Answers
In this case the answer is very simple . .
We must apply the distributive property of multiplication.
[tex](d^2+3)\cdot(d^2\text{ + 2d + 1) }[/tex][tex]d^2\cdot d^2+d^2(2d^{})+d^2+3(d^2\text{) + 3(2d) + 3}[/tex][tex]d^4\text{ + }2d^3+d^2+3d^2+6d+3[/tex][tex]d^4+2d^3+4d^2+6d+3^{}[/tex]That is the solution. .
Circle O shown below has a radius of 25 inches. To the nearest tenth of an inch,determine the length of the arc, x, subtended by an angle of 137°.
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
[tex]Length\text{ of Arc =}\frac{\theta}{360^0}\text{ x 2}\pi\text{ r}[/tex][tex]\begin{gathered} where\text{ }\theta\text{ = 137}^0 \\ radius\text{ = 25 inches} \end{gathered}[/tex][tex]Length\text{ of arc = }\frac{137^0}{360^0}\text{ x 2 x }\pi\text{ x 25}[/tex][tex]Length\text{ of arc =}\frac{137^0}{360^0}\text{ x }\frac{50\pi}{1}[/tex][tex]Length\text{ of Arc = }\frac{21,519.90968}{360}[/tex][tex]Length\text{ of Arc = 59.77752688 inches}[/tex][tex]Length\text{ of Arc }\approx\text{ 59. 8 inches \lparen to the nearest tenth \rparen}[/tex]What is the slope?
A) 2/1
B)1/2
C)-2/1
D)-1/2
Answers
Answer:
The slope is 1/2, so B is correct.
Answer:B is correct
Step-by-step explanation: it goes up 1=y and right 2=x and y/x
The graph shown shows the supply and demand for a widget. What mappens if the price is set at $25.00? Include in your answer how retailers will react to a $25.00 price point.
Answers
From the graph, if the price increases to $25
The quantity demand will decrease
Quantity supply increases --------This is the reaction from the retailers
At a local print shop, 20 copies can be made for $8. At this rate, how how many copies could be made for $34?
Fill out the table of equivalent ratios until you have found the value of x.
Copies Dollars
20 8
xx 34
It would cost $34 to make
copies.
Answers
Answer:4
Step-by-step explanation:
20 times 8 =$160 which is the total price for all copies
$160:34=4.7....$ but you can't make 0.7... of copy, so we don't count it. You can make 4 copies for $34
How to multiply easily big Numbers
Answers
Answer:
Step-by-step explanation:
Multiplying large numbers together is performed by multiplying the ones digit of the bottom number to the entire top number. After the ones place value has finished multiplying, move to the tens place value in the bottom number and multiply that digit by the top number.
I hope it helps!
stigma notation stuff
Answers
lf had his hourly salary increase from $9.25 per hour to $10.75 per hour, what's the percent increase in Jordan's salary
Answers
Answer:
16.22%
Explanation:
The percent of increase can be calculated as:
[tex]\frac{v_f-v_i}{v_i}\times100[/tex]Where vf is the final value and vi is the initial value. So, replacing vf by 10.75 and vi by 9.25, we get:
[tex]\frac{10.75-9.25}{9.25}\times100=\frac{1.5}{9.25}\times100=16.22\text{ \%}[/tex]Therefore, the percent of the increase is 16.22%
Does anyone know how to do this ???
Answers
Answer:
8) x = 6.5, 9) x = 7, 10) x = 13Step-by-step explanation:
We have similar figures given.
The ratio of corresponding sides of similar figures is same as per definition of similarity.
Use this property and solve each question.
Question 8HG/DC = FG/BCx/13 = 13/26x/13 = 1/2x = 13/2x = 6.5Question 9WY/SU = YX/UT4/(x + 5) = 3/94/(x + 5) = 1/3x + 5 = 4*3x + 5 = 12x = 7Question 10Considering x is positive, PS and MN are longer legs of right triangles.
PS/MN = ST/ML(x + 2)/10 = (x - 1)/810(x - 1) = 8(x + 2)10x - 10 = 8x + 1610x - 8x = 16 + 102x = 26x = 13How many times larger is 6 × 108 than 3 × 10-4?
Answers
Answer:
About 24.9 or 25 (if rounded to the nearest whole number or tenth).
Rita is playing a game by rolling a rectangular prism made up of cubes. The prism is 6 cubes wide, 3 cubes high, and 4 cubes deep. Rita rolls the cube and says that the top view is a 6-unit by 4-unit rectangle.
Which statement explains whether Rita could be correct?
Rita could be correct because the cube could land so the 3-cube height and the 4-cube depth make up the top face of the cube.
Rita could be correct because the cube could land so the 6-cube width and the 4-cube depth make up the top face of the cube.
Rita could not be correct because the top face of the cube is made up of the 6-cube width and the 4-cube depth.
Rita could not be correct because the top face of the cube is made up of the 6-cube width and the 3-cube height.
Answers
Answer:
Step-by-step explanation:
Answer:
Option B: Rita could be correct because the cube could land so the 6-cube width and the 4-cube depth make up the top face of the cube.
Step-by-step explanation:
We are told the dimensions of the prism are;
Width = 6 cubes wide
Height = 3 cubes high
Depth = 4 cubes deep.
Dada a função y= -3x²+5x+2
Answers
Answer:
y= -4x+2
Step-by-step explanation:
y= -3x²+5x+2
y= -9x+5x+2
y= -4x+2
In the figure below, when the sund angle of elevation is 50 degrees, the tree casts a shadow 80 feet long. which can be used to find the height of the tree?
Answers
A
1) In this picture, we can see clearly a triangle with an adjacent leg to an angle of 50º and an opposite leg (that tree).
2) So the trigonometric ratio to be used is the one that relates both legs:
[tex]\begin{gathered} \tan (50)=\frac{opposite\text{ leg}}{\text{adjacent}} \\ \tan (50)\text{ =}\frac{x}{80} \end{gathered}[/tex]3) Hence, the answer is A
Which of the following scenarios describes independent events from disjoint sets?1) A bag contains orange, yellow, and purple marbles. You randomly draw 2 marbles at the same time and want to know the probability that either marbleis orange.II) You roll a number cube and spin a spinner. You want to know the probability of rolling a 3 and spinning a B.ill) Lunch includes a choice of salad and a choice of vegetables. You want to know the probability of choosing a chef salad and asparagus as yourvegetableIV) A math class has 30 students. The teacher chooses 2 students at random. You want to know the probability that one of the two students will befemale
Answers
Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.
Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.
Hence, the answer is I only.Perform the indicated operations and write the result in
standard form.
6) 3√√-16 +2√√-64
A) -28i
C) -28
B) 281
D) 28
Answers
The standard form of the expression 3√-16 +2√-64 is 28i
The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.
We need to write the expression is 3√-16 +2√-64 in standard form
The value of √-1 is i
3√-16 + 2 √-64
3√-1 √16 + 2√-1 √64
3 i 4 + 2 i 8
12 i + 16 i
= 28 i
Therefore, the standard form. of the expression 3√-16 +2√-64 is 28i
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In the figure, assume that angles that appear to be right angles are right angles.What is the area of the figure?Use 3.14 for π.The approximate area is ___ square units.Use 3.14 for π.
Answers
We can break apart the figure into a half-circle, rectangle, and a triangle.
Shown below:
We find the area of each region and sum it up to find the area of the total figure.
Area of Half CircleThe volume of the area of a half circle is
[tex]A=\frac{\pi r^2}{2}[/tex]Given, radius (r) = 3, we find the area:
[tex]\begin{gathered} A=\frac{\pi r^2^{}}{2} \\ A=\frac{\pi(3)^2}{2} \\ A=\frac{9\pi}{2} \\ A=\frac{9(3.14)}{2} \\ A=14.13 \end{gathered}[/tex]Area of RectangleThe area of a rectangle is found by multiplying the length and width.
Given,
Length = 8
Width = 6
The area is:
[tex]\begin{gathered} A=8\times6 \\ A=48 \end{gathered}[/tex]Area of TriangleThe area of a triangle is given by the formula,
[tex]A=\frac{1}{2}bh[/tex]Where
b is the base length and h is the height
Given,
b = 3
h = 6
The area of the triangle is,
[tex]\begin{gathered} A=\frac{1}{2}bh \\ A=\frac{1}{2}(3)(6) \\ A=9 \end{gathered}[/tex]The total area of the figure >>>14.13 + 48 + 9
= 71.13 square unitsMathew and his 3 siblings are weeding a flower bed with an area of 9 square yards. If they share the job equally, how many square yards of the flower bed will each child need to weed. write as a fraccion and whole number.
Answers
Data:
Mark and his 3 siblings: 4 persons
Area of the flower bed: 9 square yards
Job equally.
Divide the total area into the number of persons:
[tex]\frac{9^{}}{4}=2.25[/tex]A mixture of orange paint contains 8 tsp of red paint and 12 tsp of yellow paint. To make the same color of orange paint using 18 tsp of red paint, how much yellow paint would you need to use? Consider using the double number line to help
with your thinking.
Answers
After doing some mathematical operations, we know that 27 tsp of yellow colors will be needed with 18 tsp of red paint.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The rules that specify the order in which we should solve an expression involving many operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition Subtraction (from left to right).So, yellow paint is used in 18 tsp of orange paint:
So,
Tsp of orange: 8 tsp of red + 12 tsp of yellowMake new but the same orange paint: 18 tsp of red + x tsp of yellowNow, form and solve an equation as follows:
8/12 = 18/x12(18) = 8x8x = 216x = 216/8x = 27Therefore, after doing some mathematical operations, we know that 27 tsp of yellow colors will be needed with 18 tsp of red paint.
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Round the number to the place of the underlined digit. 50.633 The rounded number is
Answers
According to the rules of rounding to the nearest numbers, 50.633 rounded to the nearest whole number is equal to 51.
To round 50.633, we have to consider
The tenths’ value of the number 50.633 which is equal to 6 and it is also equal to or more than 5.
Therefore, we have to round up the part of 50.633
50, when increases by 1 results in 51
Here, the decimal point and all the following digits (.633) get removed.
Therefore, 50.633 rounded to the nearest number is equal to 51.
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A(6,2), B(2,4) and C(8,-4) are three points in a plane. P is a point on the line BC and Q is a point in the plane such that PAQB is a rectangle. Find the:
(i) equations of the sides AP and BP,
(ii) coordinates of the point P,
(iii) area of the rectangle.
Answers
(i) The equations of the sides AP and BP are y = 0.75x - 2.5 and y = (-4/3)x + (20/3), respectively.
(ii) The coordinates of the point P are (4.4, 0.8).
(iii) The area of the rectangle is 8 square units.
A (6, 2), B (2, 4) and C (8, -4) are three points in a plane. P is a point on the line BC, and Q is a point in the plane, such that PAQB is a rectangle.
The point P lies on the line BC. The equation of the line BC will be the same as that of BC. The equation of line BP is calculated below.
(y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1)
(y - 4) = [(-4 - 4)/(8 - 2)]*(x - 2)
y - 4 = (-8/6)*(x - 2)
y = (-4/3)x + (20/3)
The line AP must be perpendicular to the line BP because they are the sides of a rectangle. The equation for AP is calculated below.
y = mx + c
y = (3/4)x + c
It passes through (6, 2).
2 = (3/4)*6 + c
c = 2 - 4.5
c = -2.5
The equation of AP is y = 0.75x - 2.5.
The coordinates of P are calculated by finding the intersection point of the equations of AP and BP. The coordinates of P are (4.4, 0.8).
The length of the rectangle is BP. The width of the rectangle is AP. These are calculated below using the distance formula.
BP = √[(2 - 4.4)² + (4 - 0.8)²]
BP = √(5.76 + 10.24)
BP = 4
AP = √[(6 - 4.4)² + (2 - 0.8)²]
AP = √(2.56 + 1.44)
AP = 2
The area of the rectangle is calculated below.
A = BP*AP
A = 4×2
A = 8
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27y over 15y in lowest terms
Answers
Given: 27y over 15y
The expression will be as following:
[tex]\frac{27y}{15y}=\text{?}[/tex]The result of the given expression will be:
[tex]\frac{27y}{15y}=\frac{27}{15}=\frac{3\cdot9}{3\cdot5}=\frac{9}{5}[/tex]The answer is 9/5
It can be written as a mixed number = 1 4/5
As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it. Assuming the relationship between h, hours, and g, gallons, is linear, write an equation for g in terms of h.
I will mark brainliest to the first person who answers.
Answers
The equation representing the gas left in h hours is g(h) = 8.5 - 1.25h
What is the concept of a linear equation?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used.
A linear equation is written as
y = mx + b
Where (x, y) is the ordered pair and m is the rate of change and b is the y-intercept.
Let x = time in hours
y = amount of gallons left
So, according to the question, 7.25 gallons of gas is left after 1 hour. So,
(x₁, y₁) = (1, 7.25)
3.5 gallons of gas left after 4 hours, so
(x₂, y₂) = (4, 3.5)
Find the slope
m = (y₂ - y₁) / (x₂ - x₁)
= (3.5 - 7.25)/ (4-1)
= -3.75/ 3
= -1.25
Put values of m = -1.25, (x, y) = (1, 7.25) in y= mx+b
So, 7.25 = -1.25 +b
b = 7.25 +1.25
b = 8.5
So, the linear equation for the situation in terms of g and h is
g(h) = -1.25h + 8.5
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19. highlight where values show g(x) = 0 and what is the answer20. highlight where values show f(x) > g(x) and what is the answer
Answers
19) g(x)=0 is the value of x at points where the line cuts the x-axis
From the graph that is at:
x=-7, x=1, x=3, and x=9
20) f(x)>g(x) where the curve f(x) is higher than the curve g(x), and this is at:
x<-3, 07
Find the sum (3.2+4x)+(18.25+6x)
Answers
Answer:
10x+21.45
Step-by-step explanation:
3.2+4x+18.25+6x
we combine like terms
4x+6x+3.2+18.25
10x+21.45
hopes this helps please mark brainliest
First write the equation without parentheses:
3.2 + 4x + 18.25 + 6x
Then combine like terms:
4x + 6x = 10x,
18.25 + 3.2 = 21.45
Plug the results and rewrite the expression:
21.45 + 10x
Finally, 21.45 + 10x should be your answer.
I’m pretty sure since this is an expression (because there’s no equal sign) and not an equation, you don’t determine the actual value of x or the sum of the numbers. In order to do that, you would need to be provided with the value of x or a number with an equal sign that the problem would equal to, so that’s why it’s still written with a plus sign as an expression.
I hope this helps! Please correct me if I’m wrong! :)
The values of y vary directly with x, and y=425 when x=8.5 . What is the value of y when x=12 ?
Answers
The value of y when x=12 is 600
The values of y vary directly with x
y α x
y = kx
where k is the proportationality constant
The values of y=425 when x=8.5
y = kx
425 = k (8.5)
k = 50
We need to find the value of y when x=12
y = kx
y = 50 x 12
y = 600
Therefore, the value of y when x=12 is 600
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A large glass holds 5/6 cup of water spouse you have 8 cups of water you want to fill both glasses how many of each size glass can you fill
PLEASEE HURRY
Answers
The number of large glasses that will be filled is 10 glasses.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Given that the large glass holds 5/6 cup of water and you have 8 cups of water. The number of glasses filled will be:
= 8 ÷ 5/6
= 8 × 6/5
= 48/5
= 9.6
= 10 glasses approximately
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Cecil started at the beginning again and walked 6 1/2 feet ,backed up 1 foot
Answers
Answer: 5 1/2 feet
Step-by-step explanation: 6 1/2ft - 1ft = 5 feet
Good Question! Jk
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]