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The area of a rectangle can be calculated by the formula
Area = Length x Breadth
For this question,
Length = 11yd
Breadth = 6yd
[tex]\begin{gathered} \text{ Area = 11yd x 6yd = 66yd}^2 \\ \\ \text{ The answer is 66 yd}^2 \end{gathered}[/tex]Related Questions
Use the graph of the parabola to fill in the table .
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(a) We see that the parabola opens upward.
(b) The axis of symmetry is the axis that divides the parabola into two equal parts. We see that the axis of symmetry is a vertical line with x = 1.
(c) The vertex of a parabola is a point at which the parabola makes its sharpest turn. We see that the vertex of the parabola is the point (1, -4).
(d) The intercepts of a curve are the points where the curve intercepts the coordinate axis. We see that the intercepts of the parabola are:
• x-intercept (when y = 0): ,(-1, 0), (3, 0).
,• y-intercept (when x = 0): ,(0, -3).
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(a) upward
(b) x = 1
(c) (1, -4)
(d)
• x-intercept: (-1, 0), (3, 0)
,• y-intercept: (0, -3)
Five times the sum of a number and three is the same as three times the difference of twice the number and 1.Find the number.
Answers
ANSWER
18
EXPLANATION
Let the number be x.
Fives times the sum of the number and three means:
5 * (x + 3)
=> 5(x + 3)
Three times the difference of twice the number and one means:
3 * [(2 * x) - 1]
=> 3(2x - 1)
Those two expressions are equal.
That is:
5(x + 3) = 3(2x - 1)
Expand the bracket:
=> 5x + 15 = 6x - 3
Collect like terms:
6x - 5x = 15 + 3
x = 18
The number is 18.
how many times greater is the volume of the new crate?
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1) We need to get some measures to this crate so that we can get to know the answer.
2) Consider a crate like a rectangular prism, with the following measures:
[tex]\begin{gathered} width=4 \\ height=6 \\ length=8 \end{gathered}[/tex]So now, let's apply to these measurements the proposed transformations:
This would yield the following:
[tex]\begin{gathered} w_2=8 \\ h_2=12 \\ l_2=16 \end{gathered}[/tex]3) Finally, the volume of a rectangular prism is given by the product of their dimensions, so let's compare both:
[tex]\begin{gathered} V_1=4\cdot6\cdot8,\:V_1=192u³ \\ V_2=8\cdot12\cdot16,V_2=1536u³ \\ \\ \frac{1536}{192}=8 \end{gathered}[/tex]Therefore by dividing the augmented volume by the original one we can tell the answer is:
[tex]8[/tex]Because 2³=8
Which of the following measures is more accurate to 45 grams?O 44.45 grams?
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Simplify: which measur eis more accurate to 45 grams
Explanation: for more accuracy of the number we try to find more closure value to the number.
so from the given options 44.85 is more closure to 45 . hence 44.85 grams is accurate to 45 grams
Final answer: 44.85 grams is more accurate to 45 grams.
If the distance from point A to point C is approximately 7.2 units, then what is the approximate distance from point B to point C? 52 4 6 7.2
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Answer
Using Pythagorean theorem
[tex]\begin{gathered} BC^2=DB^2+DC^2 \\ BC^2=4^2+6^2 \\ BC^2=16+36 \\ BC^2=52 \\ BC=\sqrt[]{52} \\ BC=7.211 \\ BC=7.2 \end{gathered}[/tex]The final answer
Option D
what is the slope of (-3,7) and (2,-6)
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The given points are (-3,7) and (2,-6)
we apply the slope formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=-3,y_1=7,x_2=2,y_2\text{ = }-6 \\ \text{slope = m}=\text{ }\frac{-6-7}{2-(-3)} \end{gathered}[/tex][tex]\begin{gathered} m\text{ = }\frac{-13}{2+3} \\ m\text{ = -13/5} \\ \text{slope = -2 }\frac{3}{5} \end{gathered}[/tex]show work!!What value of x makes the equation 33x=11 true33x=11
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The value of x that makes the equation true is 1/3
Explanation:[tex]\text{33x = 11}[/tex]The value of x that will make the equation true will be a value when substituted will give same value on the right and left side of the equation.
To get x, we will divide both sides by the coefficient of x. The coefficient of x is 33. So we will divide both sides by 33:
[tex]\begin{gathered} \frac{33x}{33}\text{ = }\frac{11}{33} \\ x\text{ =}\frac{11}{33} \\ x\text{ = }\frac{1}{3} \end{gathered}[/tex]To determine if the value of x we got is right, we will substitute in the equation given:
[tex]\begin{gathered} 33x\text{ = 11} \\ 33(\frac{1}{3})\text{ = 11} \\ 11\text{ = 11} \\ left\text{ hand side = right hand side} \\ \\ Hence,\text{ the value of x that makes the equation true is }\frac{1}{3} \end{gathered}[/tex]evaluate the expression 3x² + 5x when x = 6
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Given data:
The given expression is 3x^2 +5x.
The given value of x is 6.
Substitute 6 for x in the given expression.
[tex]3(6)^2+5(6)=138[/tex]Thus, the value of the expression is 138 when x=6.
Solve for x. x³ = 125A)3 B)5 C)6 D)12
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1) Given that equation, let's solve it
x³=125
∛x³=∛125
x=5
S={5}
2) So the answer is B , for 5x5x5 = 125.
10. Bill has 2 hours to drive to his friend's house and work on some assignments. Each assignmenttakes an average of 18 minutes, and it takes Bill 10 minutes to drive to the house. Whatinequality describes this? How many assignments can Bill complete?
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the limit of time is 2 hours, and the time is the sum of the time spent driving: 10 minutes, and the time doing assignments.
Time doing assignments:
To find this time we multiply 18 (the average time it takes to do an assignment) by "x" which will represent the number of assignments.
[tex]18x[/tex]So the total time Bill takes to do that is
[tex]18x+10[/tex]and since the limit of time is 2 hours, but we need to represent this 2 hours in minutes (because the other two quantities are also in minutes)
2 hours = 120 minutes.
So 18x+10 must be less than or equal to 120:
[tex]18x+10\leq120[/tex]Divide. Write the quotient in lowest terms.5 2/3 divided by 4Your answer should bea simplified proper fraction, like 3/5a simplified improper fraction, like7/4a mixed number, like 13/4
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We want to calculate the following division
[tex]5\text{ }\frac{2}{3}\text{ / 4}[/tex]First, to do so, we will transform the mixed number to its equivalent fraction, so the division is easier. Given a mixed number of the form a b/c, its equivalent fraction is of the form
[tex]a\text{ }\frac{b}{c}\text{ = }\frac{a\cdot c+b}{c}[/tex]In our case, a = 5, b = 2 and c =3, so the equivalent fraction is
[tex]5\text{ }\frac{2}{3}\text{ = }\frac{5\cdot3+2}{3}\text{ = }\frac{17}{3}[/tex]Now, we will use the fact that the number 4 could be written as the fraction 4/1 and we will divide both fractions.
If we have one fraction a/b and we want to divide it by c/d we can do as follows
[tex]\frac{a}{b}/(\frac{c}{d})\text{ = }\frac{a}{b}\cdot\frac{d}{c}\text{ = }\frac{a\cdot d}{b\cdot c}[/tex]which is equivalent to"flip" the fraction that we are using to divide and then multiply. So we have the fraction 17/3 and we want to divide it by 4/1. So, we proceed as follows:
[tex]\frac{17}{3}/(\frac{4}{1})\text{ = }\frac{17}{3}\cdot\frac{1}{4}\text{ = }\frac{17}{12}[/tex]Since this fraction can not be simplified further, the final answer is 17/12
Ellen's greenhouse is in the shape of a hemisphere.The diameter of the floor is 18 feet.What is the allroxi are volume of the greenhouse?
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Here, we want to get the volume of the greenhouse
In otherwords, we are told to get the volume of the hemisphere
Mathematically, we have this as;
[tex]V\text{ = }\frac{2}{3}\times\pi\times r^3^{}[/tex]From the question, what we have is the diameter and what we need is the radius
The radius is half the diameter and that is;
18/2 = 9 feet
We substitute this into the volume formula;
[tex]V\text{ = }\frac{2}{3}\times\frac{22}{7}\times9^3\text{ = 1,527.43}[/tex]Select the correct answer from each drop-down menu.What is the distance and midpoint between points D and E on the number line?
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SOLUTION:
The points D and E are located at;
D is located -1.8
E is located at 2.4
Therefore, the distance from D to E is;
[tex]\begin{gathered} x_2-x_1=2.4-(-1.8)=2.4+1.8 \\ =4.2 \end{gathered}[/tex]The midpoint is given by;
[tex]\begin{gathered} \frac{x_2+x_1}{2} \\ =\frac{2.4+(-1.8)}{2} \\ =0.3 \end{gathered}[/tex]Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 4 small boxes of oranges and 7 large boxes of oranges for a total of $169. Ming sold 4 small boxes of oranges and 2 large boxes of oranges for a total of $74. Find the cost of each of one small box of oranges and one large box of oranges.
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Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 4 small boxes of oranges and 7 large boxes of oranges for a total of $169. Ming sold 4 small boxes of oranges and 2 large boxes of oranges for a total of $74. Find the cost of each of one small box of oranges and one large box of oranges
Let
x -----> the cost of each of one small box
y ----> the cost of each of one large box
we have that
Matt
4x+7y=169 -----> equation 1
Ming
4x+2y=74 -----> equation 2
Solve the system of equations
Solve by graphing
Remember that when solving by graphing the solution is the intersection point both lines
using a graphing tool
see the attached figure
the solution is the point (9,19)
therefore
the cost of each of one small box is $9the cost of each of one large box is $19The point (7,-2) is a point on the graph of y=f(x) what point must lie on: A) y=2f(x-4) B) y=-f(x)-4 C) y=f(-x) D) write the function that would shift (7,-2) right 3 then up 4
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Answer:
a) The point that must lie on the functions;
[tex](11,-4)[/tex]b) The point that must lie on the functions;
[tex](7,-2)[/tex]Explanation:
Given that the point (7,-2) is a point on the graph of y=f(x).
We want to find the point that must lie on the functions;
a)
[tex]y=2f(x-4)[/tex][tex]\begin{gathered} \frac{y}{2}=f(x-4) \\ \frac{y}{2}=-2 \\ y=-4 \\ x-4=7 \\ x=7+4=11 \\ x=11 \\ (11,-4) \end{gathered}[/tex]The point that must lie on the functions;
[tex](11,-4)[/tex]b)
[tex]y=-f(x)-4[/tex][tex]\begin{gathered} y+4=-f(x) \\ -(y+4)=f(x) \\ x=7 \\ -(y+4)=-2 \\ y+4=2 \\ y=2-4 \\ y=-2 \\ (7,-2) \end{gathered}[/tex]The point that must lie on the functions;
[tex](7,-2)[/tex]On a coordinate plane, a curved line with minimum values of (-1.5, -2) and (1.5, 2), and a maximum value of (0, 4), crosses the x-axis at (-2, 0), (-1, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 4).Which is an x-intercept of the graphed function?
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The x-intercepts of a function are the ordered pairs where the graph intersects the x-axis.
Since the graph crosses the x-axis at (-2, 0), (-1, 0), (1, 0) and (2, 0), these ordered pairs are the x-intercepts of the function.
x-intercepts: (-2, 0), (-1, 0), (1, 0) and (2, 0).
Use graph paper Plot point Pot (2-4) Then plot the image of point P under a translation of 4 units to the left and 3 units down Upload a photo of your graph paper.
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We want to plot the point (2,-4) and apply a transformation to it. Then, we want to plot the resulting point after translating it.
The transformation is a translation of 4 units to the left and 3 units down. The x coordinate is related to the horizontal positions (and movements) and the y coordinate is related to the vertical positions (and movements).
So, a translation 4 units to the left means that we will subtract 4 to the x coordinate and a translation of 3 units down means that we will subtract 3 to the y coordinate.
So we have
[tex](2-4,-4-3)=(-2,-7)[/tex]So we want to plot points (2,-4) and (-2,-7).
Thus, we plot as follows
K is the midpoint of JL. JK = 4x and KL= x + 3. Find JK, KL, and JL.
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Answer:
JK = 4
KL = 4
JL = 8
Explanation:
Given that K is the midpoint of JL, we have:
See that JK = KL
So,
[tex]4x=x+3[/tex]We then solve for x
Subtract x from both sides
[tex]\begin{gathered} 4x-x=3 \\ \\ 3x=3 \end{gathered}[/tex]Divide both sides by 3
[tex]\begin{gathered} \frac{3x}{3}=\frac{3}{3} \\ \\ x=1 \end{gathered}[/tex]Therefore
JK = 4x = 4(1) = 4
KL = x + 3 = 1 + 3 = 4
JL = JK + KL = 4 + 4 = 8
At a middle school, 74 students have freckles. There are 258students in the school. To the nearest tenth of a percent,what percent of the students have freckles?
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The answer is 28.7% of the students have freckles (approximated to the nearest tenth of a percent).
Find the volume of the sphere with d=163. Round your answer to the nearest tenth. Use 3.14 to represent pie.
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To find the volume, V, of a sphere, the formula is
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \text{Where r is the radius} \end{gathered}[/tex]Given that the diameter, d, of the sphere is 163 units, the radius, r, is
[tex]r=\frac{d}{2}[/tex]Where d = 163, r will be
[tex]r=\frac{d}{2}=\frac{163}{2}\text{ units}[/tex]Substitute for r into the formula for the volume, V, of a sphere
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \text{Where r}=\frac{163}{2}\text{ and }\pi\text{ is taken as 3.14} \\ V=\frac{4}{3}\times3.14\times(\frac{163}{2})^3 \\ V=\frac{4}{3}\times3.14\times\frac{4330747}{8} \\ V=\frac{3.14\times4330747}{3\times2}=2266424.263333333 \\ V=2266424.3units^3\text{ (nearest tenth)} \end{gathered}[/tex]Hence, the volume, V of the sphere is 2266424.3 unit³ (nearest tenth)
marty has some seeds to plant. He made a table to show show how many flowers will bloom from each seed. which equation can marty use instead of the table?
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Answer: F = 3s
According to the table,
The number of seeds planted 1 2 3 4
Number of flowers blommed 3 6 9 12
The number of flowers bloomed is a function of the number of seeds planted
The common difference in the number of flowers bloomed is
6 - 3 = 3
9 - 6 = 3
12 - 9 = 3
Therefore, the common difference = 3
F = 3 x number of seeds plante
Let s = number of seeds planted
F = 3s
labels the numbers as rational or irrational 1.5 13/3 .3333
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1.5
13/3
.3333
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational
Let's see
Step 1
1.5, this can be represented as
[tex]\frac{3}{2}[/tex]so, 1.5 is a rational number
Step 2
13/3, this is the ratio of 2 integers so it is a rational number
Step 3
0.3333
this number can be
[tex]0.3333=\frac{1}{3}[/tex]so, Again it is the ratio of 2 integers, then, 0.3333 is a rational number
I really hope this helps you
What is the summation notation for the geometric series +2+8+32+128?1
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Answer
Explanation
For the geometric series given, we can see that the first term is
yumikos excercise data is shown. Use the trend line y= 8x + 8it will take yumiko about {answer} min to run 5 mi.
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Using the trend line given:
[tex]y=8x+8[/tex]we have:
[tex]y=8\cdot5+8=48[/tex]Therefore, it will take Yumiko about 48 min to run 5 mi.
Simplify the expression. e 2 In 4 16 e2 02 O 16
Answers
To simplify this expression we need to remember the following properties:
[tex](b^x^{})^y=b^{xy}^{}[/tex]and
[tex]e^{lnx}=x^{}[/tex]Then, in our case
[tex]e^{-2ln4}=(e^{ln4})^{-2}^{}[/tex][tex]\begin{gathered} =(4)^{-2} \\ =\frac{1}{4^2} \\ =\frac{1}{16} \end{gathered}[/tex]Therefore
[tex]e^{-2ln4}=\frac{1}{16}^{}[/tex]Determine whether the two triangles are similar. Explain your reasoning. Write a similarity statementtriangle on the left to the triangle on the right. If the triangles are not similar, enter NA.GH24°66FJi AnswerbyAnswerTriangle FGK is similar to Triangle type your answer...NoYesSSS similarityAA similaritySides not proportionalSASAngles not congruent
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First space: Yes
Second space: By AAsimilarity
Third space: Triangle JHK
If the two triangles are similar using SAS, which angles must be equivalent?
Answers
Given
Two similar triangles with SAS rule,
To find: Which angles must be equivalent?
Explanation:
It is given that,
The two triangles are similar with SAS rule.
Also,
That implies,
From, the figure,
The side AB is equivalent to side YZ and side AC is equivalent to XY.
Also, since SAS similarity rule states that,
The angles included in the similar sides are equivalent.
Then,
[tex]\angle A\text{ }is\text{ }equivalent\text{ }to\text{ }\angle Y[/tex]Hence, the answer is,
[tex]\angle A\text{ }is\text{ }equivalent\text{ }to\text{ }\angle Y[/tex]Anna is analyzing her greeting card business's profits. She wants more than 40% of the price p of her greeting cards to be profit. If c represents Anna's cost to make a greeting card, which inequality represents the desired relationship between price and cost?
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If she wants more than 40% of the price as profit, it means she wants more than 140% (1.4) of the cost.
The inequality that represents this situation is
[tex]p>1.4c[/tex]BMAMAsFigure 1MYColAFigure 2MYIdentify the point in Figure 2 that corresponds to point M in Figure 1.Pro
Answers
The triangles below can be assumed to be similar triangles
One of the triangles is smaller and the other one is bigger
Corresponding angles are said to be equal
Hence,
The point in figure 2 that corresponds to the point M in figure 1 is
[tex]POINT\text{ A}[/tex]Hence,
The correct answer is point A
Given the function defined in the table below,find the average rate of change, in simplest form,of the function over the interval 0 < x < 60.
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To calculate the ave