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geniusboy [140]

2 years ago

5

From a hot-air balloon, Guadalupe measures a 31^{\circ} ∘ angle of depression to a landmark that’s 316 feet away, measuring hori

zontally. What’s the balloon’s vertical distance above the ground?

1 answer:

Anton [14]2 years ago

8 0

Check the picture below.

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7 fewer than w <br> Expression

borishaifa [10]

Answer: w - 7

Step-by-step explanation:

The expression is simply less 7 less than w, or w - 7.

7 0

2 years ago

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 15m/s. The ball's height h (in meters) aft

lakkis [162]

$\bf \stackrel{\textit{ball's height}~\hfill }{\stackrel{\downarrow }{h}=1+15t-5t^2}\implies \stackrel{\textit{ball's height}~\hfill }{\stackrel{\downarrow }{6}=1+15t-5t^2}\implies 0=-5+15t-5t^2 \\\\\\ ~~~~~~~~~~~~\textit{using the quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{5}t^2\stackrel{\stackrel{b}{\downarrow }}{-15}t\stackrel{\stackrel{c}{\downarrow }}{+5}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$\bf t=\cfrac{-(-15)\pm\sqrt{(-15)^2-4(5)(5)}}{2(5)}\implies t=\cfrac{15\pm\sqrt{225-100}}{10} \\\\\\ t=\cfrac{15\pm\sqrt{125}}{10}\implies t=\cfrac{15\pm\sqrt{5^2 \cdot 5}}{10}\implies t=\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\pm ~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\sqrt{5}}{\underset{2}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}$

$\bf t=\cfrac{3\pm \sqrt{5}}{2}\implies t= \begin{cases} \frac{3+ \sqrt{5}}{2} \approx 2.618\\\\ \frac{3- \sqrt{5}}{2}\approx 0.382 \end{cases}$

8 0

2 years ago

What is 20% of 5 Please Help

Softa [21]

Hello there!

Start by asking yourself:"How to find the percentage of a number?"

We need to use the equation y = P% * x

In this case, the y is 20%

Y = P% * X

Y = 20% * X

Now we need to convert the percentage to decimal

P = 20%/100

P = 0.2

Then go back to the equation

Y= 0.2 * 5

Y = 1

The answer is 1

I hope the steps are easy to understand and hopefully the answer helps!

As always, I'm glad to help you today!

4 0

2 years ago

What does the point (1, 18) represent?

Zarrin [17]

Answer:

1 on the x axis, and 18 on the y axis

Step-by-step explanation:

4 0

2 years ago

I need this answers ASAP! A board game costs $28. You buy it at a 20% discount. You have to pay a sales tax of 13%. How much did

andriy [413]

Answer:

$26.04

Step-by-step explanation:

I did this course already

8 0

2 years ago