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Leviafan [203]
3 years ago
12

While flying at an altitude of 1.5 km, a plane measures angles or depression to opposite ends of a large crater, shown in the im

age below. Find the width of the crater

Mathematics
1 answer:
Anna35 [415]3 years ago
6 0

Check the picture below.

notice the alternate interior angles in the picture.

\bf tan(68^o)=\cfrac{\stackrel{opposite}{1.5}}{\stackrel{adjacent}{x}}\implies x=\cfrac{1.5}{tan(68^o)}\implies x\approx 0.61 \\\\[-0.35em] ~\dotfill\\\\ tan(56^o)=\cfrac{\stackrel{opposite}{1.5}}{\stackrel{adjacent}{w}}\implies w=\cfrac{1.5}{tan(56^o)}\implies w\approx 1.01 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{width of the crater}}{x+w\implies 1.62}~\hfill

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Two friends, Alejandro and Mia, agreed to split the check at a restaurant. Alejandro ordered $12 worth of food and Mia ordered $
kvasek [131]

Cost of Alejandro's food = $12

Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4

Cost of Mia's food = $18

Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7

Total Tip Paid = 2.4+2.7 = 5.1

Total Check Amount = 12 + 18 = 30

Total tip paid by Alejandro and Mia is r% of the total check amount.

So, we need to determine what % of 30 is equal to 5.1%

⇒ r% × 30 = 5.1

⇒ r% = 5.1 / 30

⇒ r% = 17%

Hence, r is 17%

8 0
3 years ago
(07.06) There are currently 4 people signed up to play on a baseball team. The team must have at least 9 players.
beks73 [17]

A graph which includes the possible values for number of people who can still sign up for the team is: B. number line with closed circle on 5 and shading to the right.

<h3>What is a number line?</h3>

A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.

Let the number of people who can still sign up for the team be represented by x. Thus, the inequality is given by:

x + 4 ≥ 9

x ≥ 9 - 4

x ≥ 5.

This ultimately implies that, there could be five (5) or more people that can still sign up for the team and a graph which includes these possible values is a number line with closed circle on five (5) and shading to the right because it can get larger.

Read more on number line here: brainly.com/question/24644930

#SPJ1

8 0
2 years ago
Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line
Airida [17]

Question:

Jordan is cutting a 2 meter by 1\frac{1}{4} meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?

Answer:

Area of each piece of paper is 1 \frac{1}{4} \ m^2.

Solution:

Length of the paper = 2 m

Width of the paper =  1\frac{1}{4} m =  \frac{5}{4} m

<em>Area of the rectangle = length × width</em>

                                    $=2\times \frac{5}{4}

                                    $= \frac{5}{2} \ m^2

<em>Diagonal of a rectangle divides it into two equal parts.</em>

Area of each piece = Area of the rectangle ÷ 2

                                $=\frac{ \frac{5}{2}}{2}

                                $=\frac{5}{4} \ m^2

                                $=1 \frac{1}{4} \ m^2

Area of each piece of paper is 1 \frac{1}{4} \ m^2.

7 0
3 years ago
Find the slope:<br><br> a line passes through P (3,-7) and Q (-5,5)
nalin [4]

76 mutiply by each other

7 0
3 years ago
Need help on this one
Zielflug [23.3K]
The correct answer is (B)
8 0
3 years ago
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