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nexus9112 [7]
2 years ago
15

Help please!

Mathematics
1 answer:
larisa86 [58]2 years ago
7 0

Answer:

The point at (-7, -5) = a

The point at (9, 3) = b

The point at (-3, 7) = c

The "a" point of the triangle is 12 units away from the center point.

So, 12 x 1/4

=> 12/4

=> 3

So, the "a" point of the dilated figure is  3 units left from the center.

=> So, the dilated "a" point is at (2, -5)

The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.

=> 8/4 = 2

So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.

=> So, the dilated "b" point is at (6, -3)

The "c" point is 12/8 units away from the center point.

=> 12/8 x 1/4

=> 3/2

So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.

=> So, the dilated "c" point is at (3, -2)

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an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is
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The angle of depression from the aeroplane to the ground​ will be 30 degrees.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

  • An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 km

The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.

As we know that the perpendicular theta is height and the base ratio is angle tan theta.

tanФ = Height / Base

tanФ  = 10 / 10 √3

tanФ = 1 / √3

Ф = tan⁻¹( 1 / √3 ) = 30°

Therefore the angle of depression from the aeroplane to the ground​ will be 30 degrees.

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2 years ago
If f(x) = 3x and g(x)= 1/x, what is the domain of (g*f) (f)?
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All real numbers or is it multiple choice
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What is 36,000×10___???and what is 36,000÷10=_____???
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A random sample of 77 fields of durum wheat has a mean yield of 27.427.4 bushels per acre and standard deviation of 5.755.75 bus
xz_007 [3.2K]

Answer:

[ 21.79, 33.0 ]

Step-by-step explanation:

Given:

Sample size, n = 7

Sample mean, μ = 27.4

Standard deviation, σ = 5.75

Confidence level is 99%

also, population is normal i.e normally distributed

Thus,

Confidence interval = μ ± z\frac{\sigma}{\sqrt n}

For confidence level of 99%

z-value = 2.58

Therefore,

Lower limit of Confidence interval = μ - 2.58\times\frac{5.75}{\sqrt{7}}

or

Lower limit of Confidence interval = 27.4 - 2.58\times\frac{5.75}{\sqrt{7}}

or

Lower limit of Confidence interval = 21.79

Upper limit of Confidence interval = μ + 2.58\times\frac{5.75}{\sqrt{7}}

or

Upper limit of Confidence interval = 27.4 + 2.58\times\frac{5.75}{\sqrt{7}}

or

Upper limit of Confidence interval = 33.00

Hence, confidence interval = [ 21.79, 33.0 ]

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3 years ago
In a load of 3/4 ton of steel rods, 1/8 of them are bent. how many tons of steels rods are bent?
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