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3 years ago

Which graph shows a proportional relationship between x and y?

Mathematics

1 answer:

il63 [147K]3 years ago

3 0

Answer:

I believe the answer is B

Step-by-step explanation:

The answer is b, because it is linear and x and y have a proportional relationship with x increasing by 2 and y increasing by 4. So the slope is 2/4 or 1/2 making it a proportional relationship.

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What is the value of x

ratelena [41]

Answer:

Step-by-step explanation:

6 0

3 years ago

Every autumn, the North American Monarch

Stolb23 [73]

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

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Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

6 0

3 years ago

Solve for x. Round to the nearest tenth of a degree, if necessary.

MissTica

Answer:

x ≈ 54.8°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = $\frac{opposite}{adjacent}$ = $\frac{PQ}{QR}$ = $\frac{7.1}{5}$ , then

x = $tan^{-1}$ ( $\frac{7.1}{5}$ ) ≈ 54.8° ( to the nearest tenth )

4 0

2 years ago

Cómo puedo hallar la longitud de un lado de un triángulo usando el teorema del ángulo de 30°

Elza [17]

En un triángulo rectángulo con ángulos de 30° -60° -90°, para encontrar la longitud de un lado, debes encontrar la longitud de la hipotenusa.

<h3 /><h3>¿Cómo encontrar la longitud de la hipotenusa?</h3>

Es necesario encontrar la longitud del cateto opuesto al ángulo de 30°, también conocido como cateto menor, y luego multiplicarlo por 2, descubriendo así el cateto de la hipotenusa, utilizando la fórmula del teorema de Pitágoras:

a²+b²=c²

Por lo tanto, puedes usar el teorema de Pitágoras para calcular la longitud del lado que falta en un triángulo rectángulo.

Encuentre más sobre el Teorema de Pitágoras aquí:

brainly.com/question/25839532

#SPJ1

5 0

2 years ago

The figure below shows a shaded rectangular region inside a large rectangle:

Svetlanka [38]

First we need to find the areas of both rectangles.

And area of larger rectangle = 10*5=50 square units

Area of smaller rectangle = 7*3 = 21 square units

Area between the two rectangles, = 50-21=29 square units

And since, we have to find the probability that a point is choosen is not in the shaded rectangle that is the smaller rectangle, so it means we have to find the probability of the point is choosen in the area between the two rectangles . Therefore,

Required probability =

$=\frac{29}{50}*100 =58%$

Therefore correct option is the second option .

8 0

3 years ago

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