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3 years ago

Amanda drove 355 miles using 17 gallons of gas. At this rate how many gallons of gas would she need to drive 284 miles?

Mathematics

1 answer:

Allushta [10]3 years ago

7 0

355 miles/17 gallons ≈ 20.88 miles per gallon
284 miles ÷20.88= 13.6 gallons needed

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lana66690 [7]

Answer:

b (0, 4)

Step-by-step explanation:

The other options already have an input (the x) in the function so it must be b.

Las otras opciones ya tienen una entrada (la x) en la función, por lo que debe ser b.

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3 years ago

If a rectangle's length is y−2 and the width is 3y+2 write an expression for the perimeter and an expression for the area.

aalyn [17]

Answer:

Area = $3y^2 - 4y - 4$ units square.

Perimeter = 8y units.

Step-by-step explanation:

Area of a rectangle = length * width.

Perimeter of a rectangle = 2*(length + width).

It is given that length = y−2 units and width = 3y+2 units. To find the area and the area of the rectangle in terms of y, simply put the length and the width in the above area and perimeter equations.

Area = length * width = (y-2)*(3y+2).

Expanding the expression gives:

Area = 3y^2 + 2y - 6y - 4 = (3y^2 -4y - 4) units square.

Similarly,

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Therefore, the expression for the area and the perimeter of the given rectangle is ( $3y^2 - 4y - 4$ ) units square and (8y) units respectively!!!

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4 years ago

Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric

mariarad [96]

Answer:

$\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}$

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of θ then $r=\sqrt{x^2+y^2}$

$r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17$ units

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3 years ago

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natita [175]

Answer:

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Step-by-step explanation:

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