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3 years ago

Find the surface area of the pyramid

Mathematics

1 answer:

Tcecarenko [31]3 years ago

6 0

Answer:

2100

Step-by-step explanation:

Surface area is the area of all the sides

The area of the rectangular base is W x L = 30 x 30 = 900

Then to find the area of the triangles its $\frac{1}{2}$ bh

A = $\frac{1}{2}$ 30 x 20

A = $\frac{1}{2}$ 600

A = 300

Since there are 4 triangle faces on a pyramid we times 300 x 4 = 1200 is the area of all the triangles

Then we add the area's

1200 + 900 = 2100

Sorry if its wrong

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A ball is thrown vertically in the air with a velocity of 95 ft/s. The ball is at a height of 120 ft.

sattari [20]

Answer:

The ball is at a height of 120 feet after 1.8 and 4.1 seconds.

Step-by-step explanation:

The statement is incomplete. The complete statement is perhaps the following "A ball is thrown vertically in the air with a velocity of 95 ft/s. What time in seconds is the ball at a height of 120ft. Round to the nearest tenth of a second."

Since the ball is launched upwards, gravity decelerates it up to rest and moves downwards. The position of the ball can be determined as a function of time by using this expression:

$y = y_{o} + v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}$

Where:

$y_{o}$ - Initial height of the ball, measured in feet.

$v_{o}$ - Initial speed of the ball, measured in feet per second.

$g$ - Gravitational constant, equal to $-32.174\,\frac{ft}{s^{2}}$ .

$t$ - Time, measured in seconds.

Given that $y_{o} = 0\,ft$ , $v_{o} = 95\,\frac{ft}{s}$ , $g = -32.174\,\frac{ft}{s^{2}}$ and $y = 120\,ft$ , the following second-order polynomial is found:

$120\,ft = 0\,ft + \left(95\,\frac{ft}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}$

$-16.087\cdot t^{2} + 95\cdot t -120 =0$

The roots of this polynomial are, respectively:

$t_{1} \approx 4.075\,s$ and $t_{2} \approx 1.831\,s$ .

Both roots solutions are physically reasonable, since $t_{1}$ represents the instant when the ball reaches a height of 120 ft before reaching maximum height, whereas $t_{2}$ represents the instant when the ball the same height after reaching maximum height.

In nutshell, the ball is at a height of 120 feet after 1.8 and 4.1 seconds.

8 0

4 years ago

A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ba

Len [333]

Well i think that if there is 25 ball there is more likely to be odd cause there is not 26 balls to make even and odds have the same amount of odd and even balls so there is one more odd than there is even

8 0

3 years ago

Read 2 more answers

Solve for X.Enter the solutions from least to greatest.

FinnZ [79.3K]

Answer:

lesser x= -10.32

greater x= -3.68

Step-by-step explanation:

$- 7 + \sqrt{11} = - 3.68$