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2 years ago

A triangle is rotated 90° about the orgin. Which rule describes the transformation

Mathematics

1 answer:

Katen [24]2 years ago

8 0

Step-by-step explanation:

If a triangle is rotated 90° about the origin.

The rule that describes the transformation is

(x, y) → (–y, x)

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Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of th

Svetllana [295]

Y = 5.5x is a linear equation (i.e. the highest power of the variables is 1). Therefore, the line will be a straight line with a slope of 5.5

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2 years ago

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Triangle SQT is isosceles. The measure of angle STQ is 48°. Triangle S Q T is cut by perpendicular bisector T R. The lengths of

igomit [66]

Answer:

$m\angle STR=24^o$

Step-by-step explanation:

we know that

$m\angle STQ=m\angle STR+m\angle RTQ$ ---> by addition angle postulate

we have

$m\angle STQ=48^o$ ----> given problem

$m\angle STR=m\angle RTQ$ ----> given problem

substitute in the expression above

$48^o=2m\angle STR$

Divide by 2 both sides

$m\angle STR=24^o$

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2 years ago

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The equation y=−0.0088x2+0.79x+15 models the speed x (in miles per hour) and average gas mileage y (in miles per gallon) for a v

Neko [114]

we are given

$y=-0.0088x^2+0.79x+15$

where

y is average gas mileage in miles per gallon

x is speed in miles per hour

we have to find average gas mileage at a speed of 60 miles per hour

so, we have

$x=60mph$

now, we can plug it and find y

$y=-0.0088(60)^2+0.79(60)+15$

we get

$y=30.72$

so,

the best approximate for the average gas mileage at a speed of 60 miles per hour is 30.7 mi/gal...........Answer

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2 years ago

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(Geometry Question) A sledding run is 300 yards long with a vertical drop of 27.6 yards. Find the angle of depression of the run

atroni [7]

Answer:

5.28°

Step-by-step explanation:

Draw the triangle formed by the sledding run. The hypotenuse is 300. The height is 27.6. The angle of depression is opposite of the height.

Using sine:

sin θ = 27.6 / 300

sin θ = 0.092

θ = 5.28°

8 0

2 years ago

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

sveticcg [70]

Answer:

$Per\ Capita = 64$

Step-by-step explanation:

Given

$Books = 2.7 * 10^3$

$People = 42$

Required

Determine the per capita

The per capita is calculated by dividing number of books by people as follows;

$Per\ Capita = \frac{Books}{People}$

Substitute 2.7 * 10^3 for books and 42 for people

$Per\ Capita = \frac{2.7 * 10^3}{42}$

$Per\ Capita = 64$ (Approximated)

<em>Hence, the per capita is 64</em>

5 0

2 years ago