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Norma-Jean [14]

3 years ago

7

One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the

rectangle?

1 answer:

vitfil [10]3 years ago

4 0

Answer:

2x + 2(x - 3)

Step-by-step explanation:

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How many hours will it take to complete a 76km bike ride if you go bike ride if you go 14km per hour the whole time?

soldi70 [24.7K]

To find the number of hours, divide the total distance by the speed.

Hours = 76 km / 14 km per hour

Hours = 4.529

Round the answer as needed.

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3 years ago

What is the area and yard of 15 and 4

weeeeeb [17]

Answer:

The area and yard is 60.

Step-by-step explanation:

15 x 4 = 60

Let me know if that helps!

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2 years ago

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An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

$y=a(x+1)(x-5)=0$

This gives

$x=-1$

$y=5$

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

$B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}$

Thus the coordinates of B are:

$B=(-1+\frac{2\sqrt{3} }{3},2)$

Now this point B lies on the parabola, and therefore it must satisfy the equation $y=a(x+1)(x-5).$

Thus

$2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)$

Therefore

$a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}$

$\boxed{a=-0.3575}$

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3 years ago

What is the probability of drawing a jack from a standard deck of cards, replacing it,shuffling, then drawing an ace?

xz_007 [3.2K]

- We have 52 cards in a deck of cards.

- We have 4 cards of the same number (4 jack, 4 aces...).

Probability of drawing a jack = 4/52

Probability of drawing a jack followed by an ace =(4/52)*(4/52)=0.00592

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10 months ago

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y,

Genrish500 [490]

Answer:

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks. The equation best models the relationship between x and y is y = −25x + 175

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3 years ago

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