The picture shows a triangular island: Which expression shows the value of e?

Mathematics

2 answers:

zalisa [80]3 years ago

7 0

d over cos 65 degrees

grin007 [14]3 years ago

3 0

Check the picture below.

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Solve the equation. Please show your work.<br>2(-5x+7)=-6

just olya [345]

$2 \times - 5x = - 10x$
$2 \times 7 = 14$
$- 10x + 14 = - 6$
$- 14$
$- 10x = - 20$
$x = 2$

5 0

3 years ago

Read 2 more answers

A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t seconds after

kirill115 [55]

Check the picture below.

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
h(t) = &{{ -16}}t^2&{{ +96}}t&{{ +2560}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

so.. the maximum point is at $\bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}~~~ft$

and it happened after $\bf -\cfrac{{{ b}}}{2{{ a}}}~~~seconds$

--------------------------------------------------------------------------

now, when the rocket reaches the ground, as you saw on the picture, y = 0, thus

$\bf h(t)=-16t^2+96t+2560\implies 0=-16t^2+96t+2560
\\\\\\
0=-16(t^2-6t-160)\implies 0=t^2-6t-160
\\\\\\
0=(t-16)(t+10)\implies t=
\begin{cases}
\boxed{16}\\
-10
\end{cases}$

"t" is an amount in seconds, for this specific phenomena, it cannot be negative, so -10 is not a feasible value.

8 0

3 years ago

Read 2 more answers

The circumference of a circle is 30t. What is its area?

labwork [276]

Answer:

$A=\frac{225t^2}{\pi}$ given the circumference is 30t.

Step-by-step explanation:

The circumference of a circle is $C=2\pi r$ and the area of a circle is $A=\pi r^2$ assuming the radius is $r$ for the circle in question.

We are given the circumference of our circle is $2 \pi r=30t$ .

If we solve this for r we get: $r=\frac{30t}{2\pi}$ . To get this I just divided both sides by $2\pi$ since this was the thing being multiplied to $r$ .