PLEASE HELP!!!Aidan is 5.5 ft tall and casts a shadow that is 9 ft long. He notices that a nearby tower casts a shadow that is 305 ft long.
What is the height of the tower (h)?
Answers
The height of the tower (h) is approximately 186.4 feet.
What is the height (h) of the tower?
A ratio is simply the relation between two amounts showing how many times a value is contained within another value.
Given the data in the quesion;
- Aidan's height = 5.5ft
- length of Aidan's shadow = 9ft
- height of the tower = ?
- length of the tower's shadow = 305ft
We can set up a proportion to solve for the height of the tower:
Aidan's height / length of Aidan's shadow = height of the tower / length of the tower's shadow
Plugging in the values we know, we get:
5.5 / 9 = h / 305
To solve for h, we can cross-multiply and simplify:
9h = 5.5 × 305
9h = 1667.5
h = 1667.5 / 9
h = 186.4 ft
Therefore, the value of h is 186.4 feet.
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2. Which of the following is an equation? A. y/9 - 3B. 9 - 2C. y/9 = 3D. 7 + y
Determine the solution for x2 + 36 > 12x
Answers
The equation of circle C will be;
⇒ (x + 5)² + (y - 2)² = 7.61²
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The points j(-8,9) and k(-2,-5) are endpoints of a diameter of circle C.
Now,
Since, The points j(-8,9) and k(-2,-5) are endpoints of a diameter of circle C.
Hence, The diameter of circle = √(- 2 - (-8))² + (- 5 - 9)²
= √ 6² + 14²
= √36 + 196
= √232
= 15.23
Thus, The radius of circle = 15.23 / 2
= 7.61
And, The center of the circle = (- 8 + (-2)) / 2 , (9 + (-5))/2
= (- 5, 2)
So, The equation circle C is,
⇒ (x - (-5))² + (y - 2)² = 7.61²
⇒ (x + 5)² + (y - 2)² = 7.61²
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Answer:
(x+5)² + (y-2)² =58
Step-by-step explanation:
"Your answer needs to be at least 20 characters long"
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =
Answers
Answer:
Step-by-step explanation:
Hope it helps
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Answer:
you hold the bowl with your thumb on the rim and then support it on the side with the rest of your fingers
Step-by-step explanation:
plz vote brainliest
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The value of 8x + 2x when x = 6 is 60
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A = 8x + 2x
The value of x = 6
Substituting the value of x in the equation , we get
A = 8x + 2x
A = 8 ( 6 ) + 2 ( 6 )
A = 48 + 12
A = 60
Therefore , the value of A = 60
Hence , the value of 8x + 2x when x = 6 is 60
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Plug the variable in.
8×6 + 2×6
48+12 = 60
Answers
Answer:y = 115 degrees
Step-by-step explanation:
The given polygon has 6 sides. It is a hexagon. The sum of the interior angles of a polygon is
180(n - 2)
Where
n is the number of sides that the polygon has. This means that n = 6
Therefore, the sum of the interior angles would be
180(6 - 2) = 720 degrees
Therefore,
126 + 101 + 135 + 147 + 96 + y = 720
605 + y = 720
Subtracting 605 from both sides of the equation, it becomes
y = 720 - 605 = 115 degrees
It's a six sided polygon. For any polygon the external angles add to 360 degrees. The internal angles shown are the supplements of the external angles. We have
(180 - θ₁) + (180 - θ₂) + ... + (180 - θ₆) = 360
6(180) - 360 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆
720 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆
The six angles add up to 720 degrees, and five of them add to
126+101+135+147+96=605
So y = 720 - 605 = 115
The degree sign is external to y so not part of the answer:
Answer: 115
Answers
Answer:
a. ii. and iv.
b. ii.
Step-by-step explanation:
Hello!
The research study involves elderly persons it was divided into two considering those who suffered depression and those that didn't suffer depression, then the proportion of persons that suffered dementia was counted.
a. Choose the relevant population and the sample.
i. The sample consists of all elderly people.
ii. The sample consists of 949 elderly people.
iii. The population is all younger and elderly people.
iv. The population is all elderly people.
Note: When you determine a population from a text, you NEVER mention a number, even if the population is finite and the total of individuals in it is known. When you determine a sample it always comes with its size.
b. Do the numbers 22% and 17% represent the population parameters or the sample statistics?
i. Population parameters
ii.Sample Statistics
The proportions were determined after taking the sample, as said in the text, first the sample was taken, then the researchers determined from this sample wich elders suffered from depression and which didn't suffer from depression and these two groups, the number of people with dementia was determined. Meaning these are sample values, not population parameters.
I hope it helps!