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3 years ago

SR1-2

Mathematics

1 answer:

Pavel [41]3 years ago

7 0

The time it will take the pebble to reach the maximum height is 1.5secs

Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110

We can calculate the time taken by the pebble to reach the maximum height.

At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0

p'(t) = -32t + 48

0 = -32t + 48

32t = 48

t = 48/32

t = 1.5secs

Hence the time it will take the pebble to reach the maximum height is 1.5secs

Learn more on velocity function here:brainly.com/question/25749514

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In quadrilateral qrst, angle r s t measures (5x 15)°. angle tqr measures (4x 3)°. circle p is inscribed with quadrilateral q r s

77julia77 [94]

The measure of the angle rst is $105^{o}$ .

<h3>What is the inscribed quadrilateral theorem?</h3>

According to the theorem, a quadrilateral can be inscribed by a circle if and only if its opposing angles are supplementary. A quadrilateral that may be encircled by a circle is known as a cyclic quadrilateral.

The sum opposite angles of a quadrilateral is 180 degrees.

We can see that the angles rst and angle tqr are opposite angles of quadrilateral qrst, hence supplementary angles.

Therefore,

<RST + <TQR = 180

5x+15 + 4x+ 3 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

Since <RST = 5x+15

<RST = 5(18) + 15

<RST = 90 + 15

<RST = 105degrees

Learn more about cyclic quadrilateral at: brainly.com/question/14352697

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2 years ago

What is the answer to this problem?

salantis [7]

We must first Isolate the Variable by removing factors that don't contain the variable:

2(x + 7) < 12
2x + 14 < 12
2x + 14 - 14 < 12 - 14
2x < -2
2x / 2 < -2/2
x < -1

Hope this helps!

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3 years ago