A landscape architect designed a flower garden in the shape of a trapezoid.
The area of the garden is 13.92 square meters. A fence is planned around the perimeter of the garden. How many meters of fencing are needed?
Answers
By using area of trapezium, it can be calculated that-
Length of fencing needed in 15.88m
What is area of trapezium?
Area of trapezium is the total space taken by the trapezium.
If the length of parallel sides be a and b and distance between the parallel sides are d,
Area of trapezium = \(\frac{1}{2}\times(a + b) \times (d)\)
Length of the parallel sides = \(b_1\) m and 5.28 m
Length of non parallel sides = 3.3 m and 3.3 m
Distance between parallel sides = 3m
Area of trapezium = \(\frac{1}{2} \times (b_1 + 5.28) \times 3\)
By the problem,
\(\frac{1}{2} \times (b_1 + 5.28) \times 3 = 13.92\)
\(b_1 + 5.28 = 13.92 \times \frac{2}{3}\\b_1 + 5.28 = 9.28\\b_1 = 9.28 - 5.28\\b_1 = 4 \m\)
Length of fencing needed = 4 + 5.28 + 3.3 + 3.3 = 15.88 m
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Related Questions
Sophie is a dog that loves to play catch. Unfortunately, she isn't very good, and the probability that she catches a ball is only 0.2. Let x be the number of tosses required until Sophie catches a ball. (a) Does x have a binomial or a geometric distribution? (b) What is the probability that it will take exactly two tosses for Sophie to catch a ball? P(exactly two tosses) (c) What is the probability that more than three tosses will be required? P(more than three tosses)
Answers
X has a geometric distribution because it is the number of trials (tosses) required until a success (catching the ball) occurs.
b) The probability that it will take exactly two tosses for Sophie to catch a ball is P(x=2) = (0.2)(0.8)^1 = 0.16. This is calculated by multiplying the probability of success (0.2) by the probability of failure (0.8) raised to the power of the number of trials (2-1=1)
c) To find the probability that more than three tosses will be required, we need to find the probability that Sophie does not catch the ball on the first three tosses and then catch it on the fourth toss.
This can be found by summing the probabilities of Sophie not catching the ball on the first three tosses (0.8^3 = 0.512) and Sophie catching the ball on the fourth toss (0.8^3*0.2 = 0.1024). The probability that more than three tosses will be required is P(x>3) = 1 - P(x≤3) = 1 - (0.512 + 0.1024) = 0.3856.
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help! for 22 points
Answers
Answer:for a is (x,y) = (1, -5)
B is (x,y) ∈∅
And lastly is c is (x, y) = ( x , 1 - 7x), x∈
Step-by-step explanation:
for a is (x,y) = (1, -5)
B is (x,y) ∈∅
And lastly is c is (x, y) = ( x , 1 - 7x), x∈
In the diagram below, AB is parallel to CD. What is the value of y?
Answers
Answer:
72
Step-by-step explanation:
Corresponding angles on parallel lines always have the same measure.
what is linear independent vector
Answers
A local little league has a total of 70 players, of whom 40% are right-handed. How many
right-handed players are there? HELP
Answers
The number of right-handed players in the local little league given its percentage is 28
How many right-handed players are there?Based on the given task content; the number of right-handed players there can be determined by solving the percentage of right-handed players.
Total number of players in the local little league = 70Percentage of right-handed players = 40%Number of right-handed players = Percentage of right-handed players × Total number of players in the local little league
= 40% × 70
= 40/100 × 70
= 0.4 × 70
= 28
In conclusion, the total number of right-handed players is 28
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What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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PLS HELP
Cindy wants to sell 300 shares of a company’s stock at the market price of $25 per share. She looks up online brokers and the fees they charge. Arrange the brokers’ fees in order from least to greatest.
(i looked at other brainly answers to this question and they were all different to each other like there were 3 diff answers)
Answers
Answer:
Step-by-step explanation:
It's in the same order, from broker 1 down to broker 5. Straight up
Answer:
Broker E
|
V
Broker C
|
V
Broker D
|
V
Broker B
|
V
Broker A
help me help me help me
Answers
Answer:
read step by step
Step-by-step explanation:
6 is +4.
19, 23, 27, 31
7 is all perfect square numbers
25, 36, 49, 64
8 is x2.
32, 64, 128, 256
9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12
so the next few would be 30, 42, 56, 72
Are these two expressions equivalent?
40 divided by 10 and 10 divided by 40
Answers
Answer:
No
Step-by-step explanation:
40/10 = 4
10/40 = 0.25
Which expression is equivalent to r^9/r^3?
O r^3
O r^6
O r^12
O r^27
Answers
Answer:
r^12 no r^6
Step-by-step explanation:
I was wrong it is r^6 r−9(−3) r−9+3=r−6
r-6 becomes 1 over r6Answer:
\({r}^{6} \)
Tyler has 240 cards in a collection. Of all of the cards, 1/3 are baseball cards, 1/6 are basketball cards, and 1/4 are football cards. The rest are hockey cards. How many of the cards are hockey cards?
Answers
Answer:
There are 60 hockey cards (1/4 of 240)
Step-by-step explanation:
1/3 of 240 is 80
1/6 of 240 is 40
1/4 of 240 is 60
80+40+60 = 180
240 - 180 = 60
Solve for x: (5 points)
E)
(-4/3)x-6=-26
A:27
B:-27
C:15
D:-15
Answers
(-4/3)x=20
x = 15
Math geometry,
GIVEN
Answers
The SSS congruence theorem is used to prove that triangles MAH and THA are congruent to each other. See proof below.
How to Apply the SSS Congruence Theorem?"SSS" stands for side-side-side congruence theorem, which says that given the criteria that two triangles both have three corresponding sides that are equal or congruent to each other, both triangles are congruent.
The proof below shows how we can apply the SSS to prove that triangles MAH and THA are congruent to each other.
Statement Reason
1. MA ≅ TH 1. Given
2. MH ≅ AT 2. Given
3. AH ≅ HA 3. Reflexive property of congruence
4. ΔMAH ≅ ΔTHA 4. SSS congruence theorem
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Jill claims that for positive fractions a/b+a/c= a/b+c because the fractions have a common numerator. How do you respond?
Answers
Answer:
Jill is incorrect.
Step-by-step explanation:
To add fractions, you need a common denominator, not a common numerator, so Jill is incorrect and her sum of fractions is incorrect.
The correct addition is:
\( \dfrac{a}{b} + \dfrac{a}{c} = \dfrac{ac}{bc} + \dfrac{ab}{bc} = \dfrac{ac + ab}{bc} \)
if x=3, what is Y?
x= -3,0,3,6
y= -5,-4,-3,-2
Answers
Answer:
If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.
Step-by-step explanation:
please show the steps
Answers
Answer:
x = -3, 0, or 7
Step-by-step explanation:
After removing common factors, the remaining quadratic can be factored by comparison to the factored form of a quadratic.
__
Step 1Write the equation in standard form.
4x³ -16x² -84x = 0
Step 2Factor out the common factor from all terms.
= 4x(x² -4x -21) = 0
Step 3Compare to the factored form of a quadratic:
(x +a)(x +b) = x² +(a+b)x +ab
This tells you the constants 'a' and 'b' in the factors can be found by considering ...
(a+b) = -4 . . . . the coefficient of the x term of the quadratic
ab = -21 . . . . . the constant term of the quadratic
It is often helpful to list factor pairs of the constant:
-21 = (-21)(1) = (-7)(3) . . . . integer pairs that have a negative sum
The sums of these pairs are -20 and -4. We are interested in the latter. We can choose ...
a = -7, b = 3
Step 4Put it all together.
4x³ -16x² -84 = (4x)(x -7)(x +3) = 0 . . . . . factored form of the equation
Step 5Apply the zero product rule. This rule tells you the product of factors will be zero when one or more of the factors is zero:
4x = 0 ⇒ x = 0
x -7 = 0 ⇒ x = 7
x +3 = 0 ⇒ x = -3
Solutions to the equation are x ∈ {-3, 0, 7}.
_____
Additional comment
What we did in Step 3 is sometimes referred to as the X-method of factoring a quadratic. The constant (ab product) is put at the top of the X, and the sum (a+b) is put at the bottom. The sides of the X are filled in with values that match the product and sum: -7 and 3. The method is modified slightly if the coefficient of x² is not 1.
A graphing calculator often provides a quick and easy method of finding the real zeros of a polynomial.
assume that message is a string variable. write a statement to display its value on standard output.
Answers
To display the value of a string variable on standard output, you can use the `System.out.println()` statement in Java or the `print()` statement in Python. The statement should include the name of the string variable you want to display, which is "message" in this case.
In Java, the statement would look like this:
```java
System.out.println(message);
```
In Python, the statement would look like this:
```python
print(message)
```
Both of these statements will display the value of the "message" string variable on standard output.
In the attached image we can see how this would look like in each of the applications mentioned above.
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Identify the following characteristics and
graph the equation.
f(x) = 3(x - 2)2 + 4
Answers
Answer:
6(x-2)+4
Slope=6
Step-by-step explanation:
The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
Answers
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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The height is??? I somehow got the width
Answers
To find the maximum height, we must find the x value at which the maximum height occurs.
The maximum height occurs at x = 0 because that is where y is the largest.
When we plug x= 0 into the function that is given in the question, we get 630 ft.
Hope it helps!
Answer:
600
Step-by-step explanation:
400=800 not
600/ tama po yan
if someone does this I'll give you 5 stars and follow you!
Answers
Answer:
The picture is really blurry, i can't see the questions
a. Your food total for dinner is $32.50.
leave a 20% tip on the food total. Find
Sales tax is an additional $1.95. You
total and the total amount you pay for
the percent of sales tax on the food
dinner.
Answers
The percent of sales tax on the food total is 6%.
To solve this problem
We must first determine the 20% of the total amount of food that is the tip:
Tip = 0.2 * $32.50 = $6.50
The total cost of the meal before tax is:
Total cost before tax = food total + tip = $32.50 + $6.50 = $39.00
The cost of the lunch, including the sales tax of $1.95, is
Sales tax and the total cost before taxes = $39.00 + $1.95 = $40.95.
The final price of the lunch, including tax and tip, is thus $40.95. You can compute the percentage of sales tax on the entire amount of food as follows:
Percent of sales tax on food = (sales tax / food total) * 100%
= ($1.95 / $32.50) * 100%
= 6%
So, the percent of sales tax on the food total is 6%.
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HELP PLS I GIVE BRAINLIST HAALP
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLS HAAAAAAAAAAAALP
Answers
Answer:
second one
Step-by-step explanation:
Answer:
It is the first one
Step-by-step explanation:
1+1=2 2+1=3 4+3=7 so it would be the top one 2 the number on the side is 3 and the bottom is 7
Select the correct answer from each drop-down menu. Astronomers can use geometry to measure the objects in space and describe their
Please Help.
Answers
Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
Who are astronomers?It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.
In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.
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Answer:
distance between, motion
Step-by-step explanation:
plato, I got it right
Convert the equation f(t) = 227e b= -0.09€ to the form f(t) = ab* Give answers accurate to three decimal places
Answers
= 173.903t
Step-by-step Explanation:
The given equation is: f(t) = 227e^(b*t)
To convert it to the form f(t) = ab, we need to write it in the form of f(t) = a * e^(k*t), where a and k are constants.
Let's start by taking the natural logarithm (ln) of both sides:
ln(f(t)) = ln(227e^(b*t))
Using the properties of logarithms, we can simplify this to:
ln(f(t)) = ln(227) + ln(e^(b*t))
ln(f(t)) = ln(227) + b*t
Now, let's define a new constant, k = b, and rewrite the equation in terms of a and k:
ln(f(t)) = ln(a) + k*t
where a = 227 and k = -0.09
Taking the exponential of both sides, we get:
f(t) = e^(ln(a) + k*t)
f(t) = e^(ln(a)) * e^(k*t)
f(t) = a * e^(k*t)
Substituting the values of a and k, we get:
f(t) = 227 * e^(-0.09*t)
Therefore, the equation f(t) = ab is:
f(t) = 227e^(-0.09t) ≈ 173.903t (rounded to three decimal places)
Ebony discovered she had $8 in quarters how many quarters are there in $8 choose the division expression you would use to find the number of quarters and $8
1. $8 ÷4
2. $8 ÷ 1/4
3. $8 ÷ 1/2
Answers
HOW WILL YOU DEAL WITH YOUR NEGATIVE ATTITUDES? ???
Answers
Answer:
I usually try and practice changing my mindset. Just try to look at things from another perspective, and if you can't, try thinking the OPPOSITE of what you thought.
Think homework is hard? Say to yourself, "Homework is easy." and trudge on through. After some time, your mindset *will* improve, and your attitudes will change from negative to positive.
Also, try to go out more often. Doing exercise, socializing, all of which will produce serotonin and will improve your outlook on life and attitude.
Step-by-step explanation:
Thanks, and please give me Brainliest!
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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(a - 2b)3 when a = 3 and b = -1/2
Answers
Answer:
64
Step-by-step explanation:
Substitute the values so (3-2(-1/2))3
Then distribute so (3-(-1))3
Add since it's a double negative to get (4)3
And 4 cubed is 64
Which number does not belong with the other three? Please explain
Answers
The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³
Why is the number different from the others ?With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:
2 . 8 x 10 ¹⁵4. 3 x 10 ⁻³⁰1. 05 x 10 ²⁸With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.
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