Where is the answer to the image of finding the area of the irregular shape that I emailed last night?
Answers
See the attached image photo for the clearest guide for one way to do this. (You could also break the figure into two rectangles in at least one other way than the way I have shown.)
The first/top rectangle I created is formed from the 6 yd side of the irregular shape (which you see on the original diagram) and is also 4yd across, which you can determine because the bottom length of the irregular shape is 7 yd (subtract 11 - 7 = to find 4 as the remainder). So the area of that rectangle can be found by multiplying the two lengths (A = base x height), and would be 24.
The second/bottom rectangle I created has a height of 4 yd, which you can determine through subtraction again, because the entire side length of the original shape is 10 yd, and the top part we already allotted to the 1st rectangle is 6. (10 - 6 = 4 yd.) The base length of the second rectangle is 11, as you can see on the original diagram - the entire length of the base of the irregular shape. To find the area of this second rectangle, we multiply the base x height (4 x 11) to get 44.
We can then add the area of the two rectangles together to find the full area of the irregular shape:
24 + 44 = 68 square yards
Related Questions
Solve the simultaneous equations 2x+3y=13
4x-y=-2
Answers
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Hope this helps!
The value of x and y are 0.5 and 4 respectively.
2x+3y=13 ..... i
4x-y=-2 ...... ii
Multiply equation i by 4
Multiply equation ii by 2
8x + 12y = 52 ..... iii
8x - 2y = -4 ...... iv
Subtract iv from iii
14y = 56
Divide both side by 14
14y/14 = 56/14
y = 4
Since 4x-y=-2
4x - 4 = -2
4x = -2 + 4.
4x = 2
x = 2/4 = 0.5
Therefore, x = 0.5 and y = 4
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What is the volume of the pyramid?
11*11*12 are the missing dimensions
A. 420 cm3 B. 139 cm3 C. 142 cm3 D. 484 cm2
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A consumer group claims that the mean annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds. A random sample of 120 people in the U.S. has a sample mean annual consumption of high fructose corn syrup of 49.5 pounds. Assume the population standard deviation is 3.6 pounds. evidence to support the group’s claim? 1). State the hypothesis: H0 : Ha : 2). Specify the level of significance 3). Sketch the sampling distribution 4). Calculate the test statistic At = 0.05, is there enough 5). Find the P-value and shade this in the distribution in (3): 6). Decision (using the P-value): 7). Write a statement to interpret the decision in the context of the original claim 2
Answers
The null hypothesis (H0) represents the claim to be tested while the alternative hypothesis (Ha) is the opposite of the claim.
Given that a consumer group claims that the mean annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds.
The null and alternative hypothesis are:
[tex]H_0:\mu=48.8 \\ \\ H_a:\mu\neq48.8[/tex]
Part 2:
From the question, we are testing the hypothesis at a level of significance [tex](\alpha=0.05[/tex]
Part 3:
Because the sample size is big enough (i.e 120), we can assume that the distribution is normally distributted.
Recall that the central limit theorem states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population all of the samples will follow an approximate normal distribution pattern.
The shape of a nomal distribution curve is attached.
Part 4:
The test statistics is calculated as follows:
[tex]z= \frac{X-\mu}{ \frac{\sigma}{\sqrt{n}} }\\ \\= \frac{48.8-49.5}{\frac{3.6}{\sqrt{120}}}\\ \\ = \frac{-0.7}{\frac{3.6}{10.95}} = \frac{-0.7}{0.3286}\\ \\ =\bold{-2.13} [/tex]
Part 5:
The P-value is obtained as follows:
[tex]P(-2.13)=0.01659[/tex]
Since the test is a two tailed test, the P-value for the test is given by
2(0.01659) = 0.03318
Part 6:
Since, the P-value is 0.033 and is less than the level of significance 0.05, we reject the null hypothesis.
Part 7:
We conclude that there is enough evidence to reject the consumer group's claim that the mean annual consumption of high fructose corn syrup by a person in United Sates is 48.8 pounds at the level of significance α = 0.05.
A football team has attempted 6 running plays. The change in field position resulting from each play is shown in the table.
Running Play Outcomes
Play 1
–3 yards
Play 2
2 yards
Play 3
–1 yard
Play 4
–2 yards
Play 5
–3 yards
Play 6
1 yard
What is the average change in field position per running play?
–6 yards per play
–1 yard per play
0 yards per play
1 yard per play
Answers
Answer:
–1 yard per play
Step-by-step explanation:
To find the average, add together all of the outcomes and divide by the number of plays, 6:
(-3+2+-1+-2+-3+1)/6 = -6/6 = -1
Answer: -1 yard per play
Step-by-step explanation:
The average of a data set is given by :-
[tex]\text{Average}=\frac{\text{Sum of all data values}}{\text{Total number of values}}[/tex]
Given: The total number of plays =6
Sum of the change in field position resulting from each play is given by :-
[tex]\text{Sum}=-3+2+(-1)+(-2)+(-3)+1=-3+2-1-2-3+1=-6[/tex]
Now, the average change in field position per running play is given by :-
[tex]\text{Average}=\frac{\text{Sum}}{\text{Total plays}}\\\\=\frac{-6}{6}=-1[/tex]
Hence, the average change in field position per running play is -1 yard per play.
What is the solution to the proportion 6-10 = 9-x
Answers
So then you get -4=9-X
Now you subtract 9 on both side
-4=9-X
-9. -9
----------
-13= -X
Now make the X positive basically get rid of the negative on both sides
x=13
Check by substituting in 13 for X
9-13= -4
6-10= -4
What is the product of a number and it’s reciprocal
Answers
For example: 1/3*3= 1 1/4*4=1
Aubrey can run at a pace of 6 miles per hour. Running at the same rate how many miles can she run in 90 minutes
Answers
Aubrey can run 9 miles in 90 minutes at her pace of 6 miles per hour.
To find how many miles Aubrey can run in 90 minutes, we can use the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given that Aubrey can run at a pace of 6 miles per hour and there are 90 minutes in 1.5 hours:
[tex]\[ \text{Distance} = 6 \, \text{miles/hour} \times 1.5 \, \text{hours} \]\[ \text{Distance} = 9 \, \text{miles} \][/tex]
Therefore, Aubrey can run 9 miles in 90 minutes at her pace.
using three data points (x,y) that we know Evil passed through and the general quadratic equation, create three corresponding equations:
Answers
Let's see whether it's possible to invent 3 separate points thru which the graph of a quadratic passes and then to create 3 equations in a, b and c:
Suppose the points are (-3,2), (-1,1) and (2,4).
Focus on (-3,2): Here x= -3 and y= 2. Then 2 = a(-3)^2 + b(-3) + c, or
2 = 9a - 3b + c
Do the same thing for the other 2 points, (-1,1) and (2,4).
When you're done, you'll have 3 linear equations in the variables a, b and c.
You were not asked to solve for a, b and c.
If you want, however, we could go thru that process.
What is 9 (3 x 4)??????
Answers
HOPE THIS HELPS!!
100 equals 15 minus a number all divided by 5
Answers
100(5) = (15-x/ 5)5
500 = 15 - x
500 - 15 = 15 (-15) - x
485/-1 = -x/-1
x = -485
hope this helps
Assume ABC=DEF. if AB=18, BC=10, and AC=25, what is the length of DF?
Answers
It’s easiest to find the solution by drawing out the triangles side by side with the lengths. It is what I did to find the answer
The length of DF is equal to 25 units. Then the correct option is D.
What is a triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The two triangles ABC and DEF are congruent to each other and all the sides of one triangle will be the same as all the sides of the other triangle. The value of DF is equal to AC. AC is 25 so DF is equal to 25.
Hence, option D is correct.
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[tex]3/2y+12=7/5y-20[/tex]
Answers
The table represents a linear function.
Answers
Answer:
the slope of the function is -6
Step-by-step explanation:
Hello
You could use the slope formula to find the slope of this linear function.
just two points are needed,let´s take these ones
p1(-1,2) and p2(0,-4)
[tex]s=\frac{y2-y1}{x2-x1} \\s=\frac{-4-2}{0-(-1)} \\s=\frac{-6}{1} \\s=-6[/tex]
so, we have that the slope of the line is -6
I hope it helps you
Have a fantastic day
The slope of the line is -6, the first option.
What is the slope?
If a line has two points (x₁, y₁) and (x₂, y₂), then the slope of the line is given by:
a = (y₂ - y₁)/(x₂ - x₁)
Here we can use the first two points (-2, 8), (-1, 2) to get:
a = (2 - 8)/(-1 + 2) = -6
The correct option is the first one.
China's population is 1.446×10^9 . Marshall Islands's population is 6.025×10^4 . How many times larger is China's population than Marshall Islands's population? Drag and drop the values into the boxes to represent the answer in scientific notation.
Answers
= 0.24 x 10^5
= 2.4 x 10^4
answer
2.4 x 10^4
China's population is 2.4 x 10^4 times larger than Marshall Islands's population.
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]. The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. Scientific notations have some of the profits as; Better readability due to compact representation. Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
We have given that
China's population = 1.446 × [tex]10^9[/tex]. Marshall Islands's population is 6.025× [tex]10^4[/tex]).
Then ;
(1.446 × [tex]10^9[/tex]) ÷ (6.025 × [tex]10^4[/tex])
= 0.24 x 10 power of 5
= 2.4 x [tex]10^4[/tex]
Therefore, China's population is 2.4 x 10^4 times larger than Marshall Islands's population.
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For the line that has the equation 4x1 + 8x2 = 88, an axis intercept is:
Answers
4x + 8x² = 88
That is,
8x² + 4x - 88 = 0
or
2x² + x - 22 = 0
The x-axis intercepts are determined by the solution of the quadratic equation as
x = (1/4) [-1 +/- √(1+176)] = 3.076 or -3.376
Answer: 3.076 or -3.376
v=1/3πr2h solve for r
Answers
Hope this helps!
Final answer:
To solve V =[tex](1/3)\pi r^2h[/tex] for r, multiply both sides by 3, then divide by πh, and finally take the square root of both sides to get r = √(3V / (πh)).
Explanation:
The student has asked to solve the equation V = [tex](1/3)\pi r^2h[/tex] for r, where V is the volume of a cylinder, r is the radius, and h is the height. To do this, we will isolate r on one side of the equation:
Multiply both sides of the equation by 3 to get rid of the fraction: 3V = [tex]\pi r^2h[/tex].
Divide both sides of the equation by πh to solve for [tex]r^2[/tex]: [tex]r^{2}[/tex] = 3V / (πh).
Take the square root of both sides to solve for r: r = √(3V / (πh)).
This gives us the formula for r in terms of V and h.
Please help. Should only have two terms, this means you have to combine like terms and simplify. Take a look at photo.
Answers
You need to find the areas of the two rectangles.
Then, subtract the area of the shed from the area of the yard.
Yard: length = 13x - 4; width = 5x
Shed: length = 2x + 4; width = 2x
Area of yard:
A = LW = (13x - 4)(5x) = 65x^2 - 20x
Area of shed:
A = LW = (2x + 4)(2x) = 4x^2 + 8x
Area of lawn = area of yard - area of shed
Area of lawn = (65x^2 - 20x) - (4x^2 + 8x)
= 65x^2 - 20x - 4x^2 - 8x
= 61x^2 - 28x
The area of the lawn is 61x^2 - 28x
3/4g=-12 I need help solving this
Answers
/3/4 /3/4
g = -16
A total of
682
tickets were sold for the school play. They were either adult tickets or student tickets. There were 68 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Using the second equation, we find that [tex]s=a-68[/tex], so we plug this value of [tex]s[/tex] into the first equation to get [tex]a+(a-68)=682[/tex]. We simplify to find [tex]2a=750[/tex]. We divide by [tex]2[/tex] to isolate the desired variable to get [tex]a=\boxed{375\text{ adult tickets were sold}}[/tex].
The problem is solved by forming and solving algebraic equations derived from the provided information. After manipulating the equations, we find that 375 adult tickets were sold.
Explanation:This problem can be solved using algebraic equations. Let's denote the number of adult tickets sold as x and the number of student tickets as y. From the problem, we know two things:
The total number of tickets sold, which is x + y = 682.There were 68 fewer student tickets sold than adult, that gives us y = x - 68.Now we can substitute the second equation into the first to get rid of y:
x + (x - 68) = 682.
This simplifies to 2x - 68 = 682. Adding 68 to both sides gives 2x = 750. Dividing both sides by 2 results in x = 375. This means that 375 adult tickets were sold.
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The temperature is changing every day by negative 7 over 18 degrees Fahrenheit. What will be the change in the temperature after 3 days? 21 over 6 degrees Fahrenheit negative 21 over 6 degrees Fahrenheit negative 7 over 6 degrees Fahrenheit 7 over 6 degrees Fahrenh
Answers
-7
6
taking teeeeesststt not sure id corryect
Convert the decimal number 625 to binary using addition/subtraction method
Answers
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)=-6+(n-1)(6)
A. 0, 18, 54
B. –6, 18, 54
C. 6, 18, 54
D. –6, 12, 48
Answers
A(1)=-6+(1-1)(6)
A(1)=-6+(0)(6)
A(1)=-6
The fourh term
A(n)=-6+(n-1)(6)
A(4)=-6+(4-1)(6)
A(4)=-6+(3)(6)
A(4)=-6+18
A(4)=12
The tenth term
A(10)=-6+(10-1)(6)
A(10)=-6+(9)(6)
A(10)=-6+54
A(10)=48
Answer:
D. -6,12,48
replace n with 1, 4 and 10 and solve the equations:
answers would be D. –6, 12, 48
-6+(1-1)*6 = -6
-6+(4-1)*6 = 12
-6+(10-1)*6 = 48
You are working as a clinical chemist in charge of testing of the blood samples. you are required to fix a sodium chloride solution with water in the ratio of 2:3 .
a) starting with 580ml of the sodium chloride solution, how much water needs to be added?
B) Give your answer in standard form to the appropriate number of significant figures
Answers
Determine the solution set of (x + 1)2 = 25.
Answers
2x + 2 = 25
2x +2 - 2 = 25 - 2
2x/2 = 23/2
x = 23/2
hope this helps
Answer:The real answer is actually {-6,-4}
Step-by-step explanation: There's the answer hope that helps
on a suspension bridge the roadway is hung from cables hanging between support towers. the cable of one bridge segment of the parabola y=.1x^2-7x +150 where y is the height of the cable in feet above the roadway at the distance x feet from a support tower. what is the closest the cable comes to the roadway? how far from the support towers does this occur
Answers
A money market fund advertises a simple interest rate of 88%. Find the total amount received on an investment of $4000 for 15 months.A money market fund advertises a simple interest rate of 88%. Find the total amount received on an investment of $4000 for 15 months. The total amount received on an investment of $4000 for 15 months is $ . (Do not round until the final answer. Then round to the nearest cent as needed.)
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Find the average value of the function f(x) = 9 sin2(x) cos3(x) on the interval [−π, π].
Answers
The average value of f(x) = 9 sin²(x) cos³(x) over the interval [-π, π] is 0.
Explanation:Integrate and Divide: To find the average value of a function f(x) over an interval [a, b], we calculate the definite integral of f(x) over the interval and divide by the interval's width:
Average value = (1/(b-a)) * ∫a^b f(x) dx
In this case, a = -π and b = π, so b - a = 2π.
Integrate f(x): Unfortunately, integrating f(x) = 9 sin²(x) cos³(x) directly is quite complex. However, we can use the trigonometric identity sin²x = (1 - cos²x) to rewrite the function:
f(x) = 9 sin²(x) cos³(x) = 9 (1 - cos²x) cos³(x)
Integrating this form of f(x) is more manageable, although it still involves integration by parts due to the product of three terms.
Zero Integral: After integrating and simplifying, the definite integral of f(x) over [-π, π] evaluates to 0.
Average Value: Dividing the integral by the interval's width (2π) confirms the average value of f(x) on [-π, π] is 0:
Average value = (1/2π) * 0 = 0
Therefore, the average value of f(x) = 9 sin²(x) cos³(x) on the interval [-π, π] is 0, despite the function's non-zero values within the interval.
The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest from.
Answers
A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the trial membership is less than $100, you will consder signing up. What inequality can yu use to determine whether you should sign up?
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The number of feet between 2 objects varies directly as the number of miles. If the distance between 2 objects is 2 1/2 miles or 13,200 feet how many feet are equivalent to a distance of 7 miles
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[tex]\bf \stackrel{feet}{f}=k\stackrel{miles}{m}\textit{ we also know that } \begin{cases} m=2\frac{1}{2}\\ f=13200 \end{cases}\implies 13200=k\cdot 2\frac{1}{2} \\\\\\ 13200=k\cfrac{5}{2}\implies \cfrac{13200\cdot 2}{5}=k\implies 5280=k \\\\\\ \boxed{f=5280m} \\\\\\ \textit{when m = 7, what is \underline{f}?}\qquad \qquad f=5208(7)[/tex]