Please help me with my work

Mathematics

1 answer:

Alexxandr [17]3 years ago

3 0

Answer:

1) -1/4

2) -1/2

3) 1/3

Step-by-step explanation:

perpendicular lines' slopes are opposite reciprocals so you flip it and change the positive or negative sign

parallel lines have the same slope

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2. The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3.

kvv77 [185]

a) 6 m / 12 m = 1/2 is the right answer

5 0

3 years ago

A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet pe

aliya0001 [1]

Answer:

The pebble will hit the ground 8.29 second after it is thrown.

Step-by-step explanation:

Given that,

The height of the pebble after t seconds is given by the equation

h= -16t²+24 t+900.

When the pebble hit the ground, the height of the pebble will be zero.

So putting h=0 in the given equation.

0 = -16t²+24 t+900

⇒-4(4t²-6t-225)=0

⇒4t²-6t-225=0

Applying quadratic formula $t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ , here a=4, b= -6 and c= -225.

$\therefore t=\frac{-(-6)\pm\sqrt{(-6)^2-4.4.(-225)}}{2.4}$

⇒ t = 8.29, -6.79

Since time can not negative.

∴t=8.29 seconds.

The pebble will hit the ground 8.29 second after it is thrown.

7 0

3 years ago

Malik borrowed $8,000 to buy a new boat. He will pay off the loan after 4 years by paying back the principal plus 6.5% simple in

Effectus [21]

$\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$8000\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\dotfill &4 \end{cases} \\\\\\ A=8000[1+(0.065)(4)]\implies A=8000(1.26)\implies A=10080$