Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the garden. The fence is rectangular in shape and is 21 inches long by 9 inches wide in the scale drawing. Use this information to determine the actual length and width of the fence in Kendall’s garden.
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answer windex heres the step by step explanation everything =windex Step-by-step explanation:
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Does 2/3x+3/4=8 and 8x=87 have the same solution ?
The inequality x2 + 12x + 35 ≥ 0 has two critical points and three possible intervals for solutions. Choose each set of possible test points for the three intervals.–8, –6, –4 –10, –6, 0 –6, 0, 6 –6, 0, 10
How do I factorise 2t^2 + 5t +2
Gavin buys 89 blue pansies and 86 yellow pansies he will plant the flowers in 5 rows with an equal number of plants in each row how many plants will be in each row
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Answer: Proportional
Reason: The fractions 5/12 and 10/24 are equal.
To go from 5/12 to 10/24, double both top and bottom
5*2 = 10
12*2 = 24
To go in reverse, divide both parts by 2
10/2 = 5
24/2 = 12
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Answer:
Step-by-step explanation:
This is an arithmetic sequence when each term is 19 higher than the previous. You can use the formula 19(n-1)+10 when n is the desired term you wish to find. So options A and C are wrong because when plugged into the formula we get another solution. D is wrong because it provides us with an incorrect formula for both the recursive and explicit versions.
The correct answer is B, when the 15th term is 276.
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Answer:
(3x + 4)²
Step-by-step explanation:
Let the unknown number be x.
(3x + 4)²
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Answer:
A conditional probability of an event is a probability obtained with knowledge that some other event has already occurred.
Step-by-step explanation:
Conditional probability of an event (A) is a probability obtained with knowledge that some other event (B) has already occurred and is denoted as P(A|B).
It satisfies the following equation:
- P(A|B)=P(A and B) / P(B)
where P(A and B) is the probability of A and B occurring together.
Conditional probability is applied in many areas of Bayesian statistics and machine learning.
Final answer:
The blank space should be filled with 'conditional'. A conditional probability of an event is a probability calculated with the knowledge that another event has already happened.
Explanation:
The blank space should be filled with 'conditional'. A conditional probability of an event is a probability obtained with knowledge that some other event has already occurred. Suppose you have events A and B from the same sample space. The conditional probability of event A given that event B has occurred, denoted as P(A|B), is computed as P(A and B) divided by P(B), where P(A and B) represents the probability that both events happen, and P(B) is the probability of B happening. This quantity is meaningful as long as P(B) is not zero.
Learn more about Conditional Probability here:
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the height of the pole is 24.48 m
What is the concept of heights and distances?
The concept of heights and distances is the use of right triangles in real-world examples and solving for missing components using trigonometric ratios in a right triangle.
The scenario is illustrated below :
let triangle form with wire of angle 48 degree be BCD and that with angle 72 degree is ACD,
with, distance AB equals to = 20 m
Let AD be = y
the height of the pole CD = x
y represents the distance from the foot of one stabilizing wire to the foot of the pole.
In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side.
Considering triangle ACD,
Tan 72 = x/y
x = ytan72° = y ×3.077
x = 3.077y- - - - - - - - -(1)
Considering triangle BCD,
Tan48 = x/(20 - y)
x = (20 - y)tan48 = 1.11(30 - y)
x = 33.31 - 1.11y- - - - - - - - -(2)
Substituting equation 1 into equation 2, it becomes
3.077y= 33.31 - 1.11y
3.077y+ 1.11y = 33.31
4.187y = 33.31
y = 7.95 m
x = 3.077y
x = 3.077 x 7.95
x = 24.48 m
Therefore, the height of the pole is 24.48 m.
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Angles of a triangle add up to 180 degrees so the missing top angle for the first triangle is 18 degrees (180 - (90 + 72)) and the missing top angle for the second triangle is 42 degrees.
You can now set up a ratio since angles are directly proportional to their opposite side. You know that the bottom is 20 meters. This means that 18/(18+42) = x/20, which simplifies to x = 6. This means the bottom of the first triangle is 6 meters, and it follows that the bottom of the second triangle is 12 meters (although you don't really need this information).
Now comes the trig. You need to figure out the length of the hypotenuse of one of the triangles so that you can use the Pythagorean Theorem to figure out the height of the pole. You can set up tan(72) = (6/x) - tangent is opposite over adjacent - which simplifies to x = 6/tan(72). You can plug this into your calculator (make sure you're in degrees mode) and you'll get x = 5.4024. This is the length of your hypotenuse.
Now plug this value into the Pythagorean Theorem (a^2+b^2=c^2) to get 6^2 + b^2 = (5.4024)^2 = c^2, c^2 = 65.1862, and c is approximately 8.0738!
8.0738 meters tall.