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lys-0071 [83]
3 years ago
13

An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and

located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 ft., how far is the bird (B) from the plane (P)? Round to the nearest whole number. (4 points)
Angle P a 3815 feet b 5873 feet c 8343 feet d 10,779 feet
please see attatchment

Mathematics
1 answer:
lana [24]3 years ago
3 0

Answer:

Option D. 10,779 feet

Step-by-step explanation:

Given from the figure attached,

PT = OB = 7000 ft

PB = OT = x feet

and angle of elevation (∠POT) = 30°

By applying Tan rule in the triangle POT,

tan33° = \frac{\text{Opposite side}}{\text{Adjacent side}} = \frac{PT}{OT}

tan33° = \frac{7000}{x}

x = \frac{7000}{\text{tan}33}

x = 10779 feet

Therefore, distance between the bird (B) and plane (P) is 10,779 feet.

Option D. will be the answer.

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kupik [55]
<span>If i started a business making braclets for $2 and necklaces for $3 with a budget >200 what would be the inequality equation?
How would I graph

Solution:
let x= number of bracelets
    y= number of necklaces

Thus, the equation would be:
</span>$2x+$3y>200

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8 0
3 years ago
Guys, Can you please help me with these questions
MakcuM [25]

Answer:

a) w^{13} x^{5} y^{6}

b) \frac{x}{3y^{6} }

Step-by-step explanation:

a) (w^{2} xy^{3} )^{2}(w^{3}x )^{3}

1. Distribute the second power (2) outside the first pair of parenthesis:

(w^{2(2)} x^{2} y^{3(2)} )

= w^{4} x^{2} y^{6} (w^{3}x )^{3}

2. Distribute the third power (3) outside the second pair of parenthesis:

(w^{3(3)} x^{3} )

= w^{4} x^{2} y^{6} w^{9} x^{3}

3. Combine like terms:

w^{13} x^{5} y^{6}

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

b) \frac{2x^{2} y^{5} }{6xy^{11} }

1. Factor the number 6 (= 2 · 3):

\frac{2x^{2} y^{5} }{2(3)xy^{11} }

2. Cancel the common factor (2):

\frac{x^{2} y^{5} }{3xy^{11} }

3. Cancel out xy^{5} in the numerator an denominator:

\frac{x}{3y^{6} }

hope this helps!

4 0
2 years ago
HELPPP The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year. Which exponential growth m
levacccp [35]

Answer:

C. y=36(1.2)t

Step-by-step explanation:

The number of members in the Club in t years after 2001 is given by an equation in the following format:

y = y(0)(1+r)^{t}

In which y(0) is the number of members in 2001 and r is the growth rate, as a decimal.

The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year.

This means that y(0) = 36, r = 0.2

So

y = y(0)(1+r)^{t}

y = 36(1+0.2)^{t}

y = 36(1.2)^{t}

The correct answer is C.

5 0
3 years ago
Name the property the equation illustrates.
kykrilka [37]

You can multiply the equation in any order.

2[-3/9]=[-3/9]2

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4 0
2 years ago
Help ;-;........ ;v;
iragen [17]

Answer:

$163

Step-by-step explanation:

Bob worked 26 hours and earn $7 per hour. Multiply 26 with 7:

26 x 7 = 182

Bob made a total of $182 last month.

Bob then spent $19. Subtract 19 from the total earned:

182 - 19 = 163

Bob has $163 left.

~

6 0
2 years ago
Read 2 more answers
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