What is the value of y?

Mathematics

2 answers:

Alex787 [66]2 years ago

6 0

To answer this you must know that all angles of a triangle have to add up to 180 degrees.

First, you have to write an equation to solve:

114 + 2y = 180

Simplify the equation:

2y = 66

Divide both sides by 2:

y = 33

The answer is B, 33 degrees

Mashcka [7]2 years ago

3 0

Answer: 57

Step-by-step explanation:

The sum of the two inside angles(y + y) , not neighbouring to the outside angle(114), equals to the outside angle) (114

Then

2 y = 114

Y = 57

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Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is, $h=-8t^2+40t$ , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

$\frac{dh}{dt} =0$

Now the differentiating the equation with respect to time t, we get

$\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)$

$\frac{dh}{dt}=-16t+40$

For maximum height, $\frac{dh}{dt} =0$

So, $-16t+40=0$

$\Rightarrow 16t=40$

$\Rightarrow t=\frac{40}{16}$

$\Rightarrrow t = 2.5$

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0

3 years ago

Explain why a positive times a negative is a negative number.

prohojiy [21]

Explanation:

This can be explained by thinking numbers on the number line as:

Lets take we have to multiply a positive number (say, 2) with a negative number say (-3)

Suppose someone is standing at 0 on the number line and to go to cover -3 , the person moves 3 units in the left hand side. Since, we have to compute for 2×(-3), The person has to cover the same distance twice. At last, he will be standing at -6, which is a negative number.

A image is shown below to represent the same.

<u>Thus, a positive times a negative is a negative number.</u>