The area of the yard is 50,600 square feet.
Option: C.
Step-by-step explanation:
The given information forms a trapezoid.
The AB is the upper base (a) and its length is 200 feet.
The CD is the lower base (b) and its length is 260 feet.
A straight line distance from AB and CD is the height (h) and its measures as 220 feet.
The area of trapezoid A= [tex]\frac{a+b}{2} (h)[/tex].
A= [tex]\frac{200+260}{2} (220)[/tex].
=[tex]\frac{460}{2}(220)[/tex].
=230(220).
=50600 [tex]ft^2.[/tex]
Thus the area of John's yard is 50,600 square feet.
What is 490% as a mixed number
Answer:
49/10
Step-by-step explanation:
when you plug in 490% into your calculator, it shlukd be 49/10.
Answer:
Step-by-step explanation:
49/10 divide the numerator and denominator by gif.490/100=2x5x7 with the power of two=2x5x7with the power of two /2x5 both with th power of two divided 2x5=7 with the power of two/2x5=49/10
how do you solve 2.14 x - 12.18=5.76
The value of x in the equation 2.14x - 12.18 = 5.76 is 8.38.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, we have to solve for x or find the value of x in the equation
2.14x - 12.18 = 5.76.
2,14x = 5.76 + 12.18.
2.14x = 17.94.
x = (17.94/2.14).
x = 8.38.
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10 POINTS
Choose the polynomial that is written in standard form.
A:−3x5 + 4x3 + 10x2
B:−8x + 4x4 + 3x3
C:x4 + 4x3 + 10x4
D:x6 + 4x3 + 10x7
Answer:
A
Step-by-step explanation:
-3×5+4×3+10×2
=-15+12+20
=17
Answer:
A: 3x5 + 4x3 +10x2
Step-by-step explanation:
Parallelogram RECT is a rectangle. If EC = x + y , RT = 2x - y, RE = 2x + y, and TC = 3x - 3 , what are the values of the variable
Step-by-step explanation:
In parallelogram RECT is a rectangle,
EC = x + y , RT = 2x - y, RE = 2x + y and TC = 3x - 3
To find, the values of the variable = ?
∵ The opposite sides are equal.
∴ RE = TC and RT = EC
2x + y = 3x - 3
⇒ x - y = 3 .......... (1)
Also,
2x - y = x + y
⇒ x - 2y = 0 .......... (2)
Subtracting (1) from (2), we get
∴ x - y - (x - 2y ) = 3 - 0
⇒ x - y - x + 2y = 3
⇒ y = 3
Put y = 3 in equation (1), we get
x - 3 = 3
⇒ x = 3 + 3 = 6
∴ x = 6 and y = 3
Thus, the values of the variable are 3 and 6.
Write an equation that has variables on each side and has a solution of -2.
Answer:
2(x+4)=6+x
Step-by-step explanation:
Let x be our variable.
We want to write about equation using x that gives us -2 as solution.
We can write many of such equation.
An example is:
[tex]2( x + 4) = 6 + x[/tex]We cross check.
Let us expand:
[tex]2x + 8 = 6 + x[/tex]
Group similar terms:
[tex]2x - x = 6 - 8[/tex]
Combine similar terms:
[tex]x = - 2[/tex]
Simplify g(x)-f(x)= (x^2-x+3)-(5x+4)
The simplified expression is:
[tex]g(x)-f(x) = x^2-6x-1[/tex]
Solution:
Given that the expression is:
[tex]g(x) - f(x) = (x^2-x+3)-(5x+4)[/tex]
We have to simplify the expression
The expression can be simplified by combining the like terms
Like terms are terms that have the same variables and powers. The coefficients do not need to match
From given,
[tex]g(x) - f(x) = (x^2-x+3)-(5x+4)\\\\Remove\ the\ paranthesis\ and\ solve\\\\g(x) - f(x) = x^2-x+3-5x-4\\\\Combine\ the\ like\ terms\\\\g(x)-f(x) = x^2-x-5x+3-4\\\\Add\ the\ like\ terms\\\\g(x)-f(x) = x^2 -6x + 3 - 4\\\\Add\ the\ constants\\\\g(x)-f(x) = x^2 -6x -1[/tex]
Thus the expression is simplified
A factory made 100 jars of peanut butter. 20% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
Answer:
There would be 20 jars of creamy peanut butter.
Step-by-step explanation:
You have 100 jars of peanut butter divide that by 100. That would give you the amount for 1%. Multiply that by 20 for the 20% which will give you your answer of 20.
100/100=1
1*20=20
Number of creamy peanut butter jars is 20.
Final answer:
The factory made 20 jars of creamy peanut butter, which is calculated by finding 20% of the total 100 jars produced.
Explanation:
The student has asked how many jars of creamy peanut butter were made if a factory produced 100 jars and 20% of them contained creamy peanut butter. To find the answer, we simply need to calculate 20% of 100 jars.
Here is the calculation:
First, we convert the percentage to a decimal: 20% = 0.20.
Next, we multiply the total number of jars by this decimal: 100 jars × 0.20 = 20 jars.
Therefore, the factory made 20 jars of creamy peanut butter.
1.4x - y = -3
1. {-2x + y = 5
Answer:
look at shown picture.
Answer:
The answer is 4
Step-by-step explanation:
Why?...Because this is a site where everything is fake and incorrect.
If you are convicted of DUI, your fine and jail time will be increased if _____.(FLVS)
Conviction of DUI results in increased fines and jail time if aggravating factors such as high alcohol levels or prior offenses are present.
If you are convicted of DUI (driving under the influence), your fine and jail time will typically be increased if certain aggravating factors are present. These can include having a high blood alcohol content, previous DUI convictions, causing an accident while DUI, especially if injury or death occurred, having minors in the vehicle, and others. The penalties are enhanced due to the increased risk and harm these factors represent.
Which of the following are alternate interior angles? Select all that apply.
Option C: ∠2 and ∠8
Option E: ∠3 and ∠5
Solution:
Two parallel lines cut by a transversal.
Option A: ∠5 and ∠4
∠4 is not interior of parallel lines.
Hence it is not true.
Option B: ∠6 and ∠5
∠6 is not interior of parallel lines.
Hence it is not true.
Option C: ∠2 and ∠8
∠2 and ∠8 lies in the interior of the parallel lines.
∠2 and ∠8 lies in alternate of the transversal line.
Therefore, ∠2 and ∠8 are alternate interior angles.
Hence it is true.
Option D: ∠8 and ∠1
∠1 is not interior of parallel lines.
Hence it is not true.
Option E: ∠3 and ∠5
∠3 and ∠5 lies in the interior of the parallel lines.
∠3 and ∠5 lies in alternate of the transversal line.
Therefore, ∠3 and ∠5 are alternate interior angles.
Hence it is true.
Therefore ∠2 and ∠8, ∠3 and ∠5 are alternate interior angles.
Alternate Interior angles are on the opposite side. The Pair of angles that are alternate interior angles are ∠2 and ∠8, ∠3 and ∠5.
What are Alternate Interior angles?When two parallel lines are cut by a transverse. the angles formed on the interior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Interior Angle.
In the given figures, the angles that are formed on the inner side of the two parallel lines are ∠2, ∠3, ∠8, and ∠5. Since, for a pair of angles to be alternate interior angles, they must be on the opposite side of the transverse. Therefore, ∠2 and ∠8, ∠3 and ∠5 are the two pairs of alternate interior angles.
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The transformer (grey box) on this power line is how far above the ground?
Round to the nearest tenth.
The transformer is 27.5 ft above the ground.
Solution:
The given image is like a triangle.
Angle 'L' represents the triangle is right triangle.
Use Pythagoras theorem to find the answer.
Base of the triangle = 12 ft
Hypotenuse of the triangle = 30 ft
Height of the triangle = x
Using Pythagoras theorem,
[tex]\text{Base} $^{2}+$ Height $^{2}=$ Hypotenuse $^{2}$[/tex]
[tex]12^2+x^2=30^2[/tex]
[tex]144+x^2=900[/tex]
Subtract 144 on both sides of the equation.
[tex]x^2=900-144[/tex]
[tex]x^2=756[/tex]
Taking square root on both sides.
[tex]x=27.5[/tex]
Hence the transformer is 27.5 ft above the ground.
A rancher owns a rectangular piece of land that is 4.1 mi long and 2.5 mi wide. Find the units for the perimeter of the rectangle defined by this ranch
Answer:
13.1mi
Step-by-step explanation:
Length(l) = 4.1mi
Breadth(b) = 2.5 mi
Perimeter of a rectangle = addition of all sides that is = l + l + b + b as a rectangle has 2 opposite equal length and also breadth.
Therefore perimeter = 4.1 + 4.1 + 2.5 + 2.5
= 8.1 + 5
=13.1 mi
I hope this was helpful, Please mark as brainliest
Answer:
13.2 mi
Step-by-step explanation:
Perimeter of a rectangle
= 2 (L + W)
From the question
L = 4.1
W = 2.5
Using the above formula , we have P = 2 (4.1 + 2.5)
Using the distributive property
2x4.1 + 2x2.5
8.2 + 5
13.2mi
Is 8 /15 + 2/5 closer to 0, 1/2, or 1
Final answer:
The sum of 8/15 and 2/5 is 14/15, which is closer to 1 than to 0 or 1/2 after finding a common denominator and adding the fractions.
Explanation:
To determine whether 8/15 + 2/5 is closer to 0, 1/2, or 1, you need to first find a common denominator for the fractions. The least common denominator for 15 and 5 is 15. You can then rewrite the second fraction, 2/5, with 15 as the denominator by multiplying both the numerator and denominator by 3, which gives you 6/15.
Now add the two fractions:
8/15 + 6/15 = 14/15
This sum is very close to 1, but still less than 1. Therefore, 14/15 is closest to 1.
To conceptualize this, you can think about the fractions in terms of division: 8 divided by 15 is a bit more than half, and 2 divided by 5 is exactly 0.4, which is also slightly less than half. Their sum is thus nearly a whole but not quite there, clearly indicating it's closer to 1 than to 0 or 1/2.
When is it most appropriate to use the completing the square method to solve a quadratic equation?
Answer:
Don't forget to include a ± sign in your equation once you have taken the square root. Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use. Finally, the quadratic formula will work on any quadratic equation.
Step-by-step explanation:
x² + 4x = 15 can be solved best using the completing the square method.
2x(x−3)=0 can be best solved using the zero product property.
Which statement is true regarding the functions on the
graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
16) = 96
Answer:
f(3) = g(3)
Step-by-step explanation:
The graph shows f(3) = 6, and it shows g(3) = 6. Then ...
f(3) = g(3)
To determine if two functions f and g are equal at certain points, one must refer to their definitions or graphs. If f(x) and g(x) are defined as x², they are the same function as they produce identical outputs for any numerical input.
Explanation:The student's question pertains to function comparison and the evaluation of these functions at specific points. The statement "f(6) = g(3)" implies that the value of the function f when x is 6 is equal to the value of function g when x is 3.
The answer to the question will rely on the specific definitions or graphical representations of the functions f and g, provided in the original question or accompanying materials.
For the functions defined by f(x) = x² and g(s) = s², f and g are indeed the same function since they both return the square of their input, regardless of the variable used to represent that input.
Since both function names are simply placeholders for the operation being performed (squaring), f and g yield the same output for any identical numeric input.
Based on the examples in the reference information, we can see that two different functions could have the same graph if they result in the same set of points on a Cartesian plane. This would make them the same function in the context of their graphical representation.
I need help with these 5 questions ASAP and if you answer Ill give whatever you want.
This is my 3rd posting of the question.
Answer:
1. 8n + 4
2. 5x +13
3. X + 3
4. X - 6
5. 4x + 1
Step-by-step explanation:
1.
2n + 6 and 6n -2 so simply addition will be
2n +6 +6n -2
8n +4
2.
3x + 9 + 2x + 4
5x + 13
3.
3x + 5 - 2x -2
X +3
4.
4x + 3 - 3x -9
X -6
5.
6x + 2 - 2x -1
4x + 1
What is the solution to the equation y + 31 = 19?
Answer:
Step-by-step explanation:
y + 31 = 19....subtract 31 from both sides
y = 19 - 31
y = - 12 <===
Solve using sublimation
3x+4y=-17
y=-6*-1
Answer:17
Step-by-step explanation:trust me use mathaway;) mathaway dot com
Answer:
x=-41/3, y=6 (-41/3, 6).
Step-by-step explanation:
3x+4y=-17
y=-6*-1
-------------------
3x+4y=-17
y=6
3x+4(6)=-17
3x+24=-17
3x=-17-24
3x=-41
x=-41/3
what is the length of KM?
Answer:
B
Step-by-step explanation:
Could be wrong
The length of KM is,
⇒ KM = 80 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Line a is the perpendicular bisector of KM.
Now, We can formulate;
Two sides are isosceles triangle are equal.
Hence we get;
9x - 5 = 7x + 7
9x - 7x = 12
2x = 12
x = 6
Thus, The length of KL is,
KL = 6x + 4
KL = 6 x 6 + 4
KL = 40
So, The length of KM is,
⇒ KM = 2 KL
⇒ KM = 2 × 40
⇒ KM = 80 units
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A photo of a beetle in a science book is increased to 734% as large as the actual size. If the beetle is 15 millimeters, what is the size of the beetle in the photo?
Answer:
110.1
Step-by-step explanation:
So, we just need to figure out 734% of 15.
734% can be written as 734/100.
734*15=11010.
11010/100 = 110.1
In the photo, the beetle is 110.1 millimeters
Can someone please answer this question please answer it correctly please show work
Answer:
Actual mean: 223 pages
Predicted mean / estimate: 225 pages
Explanation below
Step-by-step explanation:
Mean = total amount ÷ # of numbers
155 + 214 + 312 + 198 + 200 + 170 + 250 + 260 + 215 + 256
Add
2,230
# of numbers = 10
2,230 ÷ 10 = 223
The exact mean is 223
If I were to predict the mean, I would say that a good estimation would be around 225, because I see that the highest number in the data set is 312, and the lowest is 155. If 312 is rounded down to 300, and 155 is rounded down to 150, the number exactly in the middle of 300 and 150 is 225.
Actual mean: 223 pages
Predicted mean: 225 pages
Hope this helps :)
help I need somebody not just anybody OH yeah i will give brainliest !!Find the probabilities of the events described and arrange them in order from the event with the lowest probability of occurrence to the event with the highest probability of occurrence.
the probability of picking a red marble
from a bag containing 5 green, 3 red,
and 4 blue marbles
the probability of picking a peach from
a basket of fruit containing 7 peaches
and 3 apples
the probability of picking a green token
from a box containing 10 red, 6 blue,
and 4 green tokens
the probability of picking a golf ball
from a box containing 2 tennis balls
and 13 golf balls
The arrangement with the lowest probability of occurrence to the event with the highest probability of occurrence is 0.2, 0.25, 0.7 and 0.87
What is probabiility?Probability is the likelihood or chance that an event will occur. Mathematically;
Probability = expected outcome/total outcome
The probability of picking a red marble from a bag containing 5 green, 3 red, and 4 blue marbles is 3/12 = 0.25
The probability of picking a peach from a basket of fruit containing 7 peaches and 3 apples is 7/10 = 0.7
The probability of picking a green token from a box containing 10 red, 6 blue, and 4 green tokens is 4/20 = 0.2
The probability of picking a golf ball from a box containing 2 tennis balls
and 13 golf balls is 13/15 = 0.87
From the probabilites above, the arrangement with the lowest probability of occurrence to the event with the highest probability of occurrence is 0.2, 0.25, 0.7 and 0.87
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helllllpppp please!!!
Do you do Accelus Online School?
I do that too!
Sorry i'd totally answer this question but i'm struggling toooo
The angle of depression from the top of a cruise ship to the top of a sailboat is 22. Sitting above water, the cruise ship is 236 feet tall while the sailboat is 27 feet tall. Find the distance between the cruise ship and the sailboat.
Answer:
The distance between the cruise ship and the sail boat is 517 feet.
Step-by-step explanation:
The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is
236 feet - 27 feet = 209 feet.
We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.
Now from trigonometry we get:
[tex]tan \: \theta = \dfrac{209}{d}[/tex]
[tex]d= \dfrac{209}{tan\:\theta }[/tex]
[tex]\boxed{d=517ft}[/tex]
The distance between the cruise ship and the sailboat is 517 feet.
Final answer:
To calculate the horizontal distance between the cruise ship and the sailboat, we subtract the sailboat's height from the cruise ship's height to get 209 feet, use the angle of depression and tangent function, and find that the distance between them is approximately 517.57 feet.
Explanation:
To find the distance between the cruise ship and the sailboat, we need to apply trigonometry. First, we determine the difference in height between the two, which is the cruise ship's height above the water subtracted by the sailboat's height. This will be 236 feet - 27 feet = 209 feet. Since the angle of depression from the cruise ship to the sailboat is 22 degrees, we can use the tangent function, which relates the angle of a right triangle to the ratio of the opposite side to the adjacent side.
The opposite side, in this case, is the difference in height (209 feet), and the adjacent side is the horizontal distance between the ships, which we're trying to find. Thus:
tangent(22 degrees) = opposite/adjacent
adjacent = opposite/tangent(22 degrees)
= 209 feet / tangent(22 degrees)
Now we calculate the tangent of 22 degrees and then divide 209 feet by this amount to find the distance between the two vessels.
Using a calculator, tangent(22 degrees) ≈ 0.4040, so:
adjacent ≈ 209 feet / 0.4040 ≈ 517.57 feet
Therefore, the horizontal distance between the cruise ship and the sailboat is approximately 517.57 feet.
find the zeros/roots of k(x)=x^3+5x^2+9x+45
Answer:
k(x)=x^3+9x+5x^2+45
Step-by-step explanation:
k(x)=x^3+5x^2+9x+45
k(x)=x^2(x+5)+9(x+5)
K(x)=(x+5)(x^2+9)
k(x)=x^3+9x+5x^2+45
Jon hikes 13.5 mi at a constant rate of 3 mi/h. How many hours does he hike? 4.0 h 4.5 h 10.0 h 10.5 h
Answer: 4.5
Step-by-step explanation: because, 3x4=12 then you have 1.5 left and 1.5 is half of three so you would have .5 and you then add 4+.5 to get 4.5
Answer:
the answer is 4.5 h
Step-by-step explanation:
!!! need help!! whats the answer??
Answer:
i) Therefore option A is Correct. Δ ECD [tex]\sim[/tex] Δ ACB by the SAS ( Side Angle Side) Similarity Theorem.
ii) Yes it can be proven that ED || AB after proving that Δ ECD [tex]\sim[/tex] Δ ACB
Step-by-step explanation:
i) CE = [tex]\frac{1}{2}[/tex] AC ..... given
ii) CD = [tex]\frac{1}{2}[/tex] CB .... given
iii) Therefore [tex]\frac{CE}{AC} = \frac{CD}{CB} = \frac{1}{2}[/tex]
iv) Angle ACB or ∠C is common to Δ ACB and Δ CED.
v) Therefore from the above 4 equations we can say that by
SAS theorem the two triangles are similar , that is , Δ ECD [tex]\sim[/tex] Δ ACB .
Therefore option A is Correct.
vi) Yes it can be proven that ED || AB after proving that Δ ECD [tex]\sim[/tex] Δ ACB.
Since Δ ECD [tex]\sim[/tex] Δ ACB , therefore ∠CED = ∠CAB and ∠CDE = ∠CBA.
Therefore we can say that ED is parallel to AB or that ED || AB.
Find the area of the following geometric figure.
Find the area of a triangle with base of 6 m and altitude of 4 m.
Area =
m2
7² + 8⁵ - 8²
Simplify
Answer:
32,753
Step-by-step explanation:
If you multiply 7 x 7 you get 49
If you multiply 8 x 8 x 8 x 8 x 8 you get 32,768
If you multiply 8 x 8 you get 64
Next you add 49 and 32,768; you get 32,817
Then you subtract 32,817 - 64; you get 32,753
Hope this helped!
~Oreo!!
[tex] {7}^{2} + {8}^{5} - {8}^{2} = 49 + {8}^{5} - 64 \\ = {8}^{5} - 15 \\ = 32768 - 15 \\ = 32753[/tex]
find the area of the figure. ( sides meet at right angles)
Answer:
55 square feet
Step-by-step explanation:
We can represent the area as a sum of two rectangles.
A = 8 * 5 + 5 * 3 = 40 + 15 = 55 square feet
Answer:
Step-by-step explanation:
Area of rectangle at top
length =5ft; breadth = 3 ft
Area = 5*3 = 15 sq.ft
Area of rectangle at bottom
length = 8ft ; breadth =8-3 = 5 feet
Area = 8*5 = 40 sq.ft
Area of the figure = 15 + 40 = 55 sq.ft