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exis [7]
3 years ago
12

4. (07.04 MC)

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer:

11779 ft

Step-by-step explanation:

We are given that

\theta=23^{\circ}

Distance between tower and plane,d=5000 ft

We have to find the distance between the plane and bird.

Let x  be the distance between bird and plane

We know that

tan\theta=\frac{perpendicular\;side}{Base}

Using the formula

tan23=\frac{5000}{x}

x=\frac{5000}{tan23}=11779.3 \approx 11779ft

Hence, the distance between the plane and bird=11779 ft

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The sum of two numbers is -6. The difference is 16. Find the two numbers.
Bess [88]

Answer:

-5\:\mathrm{and}\: 11

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}x+y=6\\x-y=16\\\end{cases}

Adding both equations together, we isolate x and get:

2x=22,\: x=11

Plugging x=11 in any of the equations, we can solve for y:

11+y=6,\: y=-5

Verify that the solution pair (11, -5) works \checkmark

Therefore, the two numbers are \fbox{$-5\:\mathrm{and}\: 11$}.

7 0
3 years ago
PLEASE HELP ILY IF YOU DO
agasfer [191]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Bubbles bakery has 24 oatmeal cookies, 36 vanilla bean cookies, 42 chocolate chip cookies. What is the greatest common factor bu
STatiana [176]

Answer:6

Step-by-step explanation:

We have three groups of cookies as follows:

24   oatmeal

36   vanilla bean

42  chocolate chip

If we breack down into factors we get

24    2       24 = 2³ * 3        36    2   36 = 2²*3³         42   2   42 = 2*3*7

12     2                                 18    2                              21   3

6      2                                   9    3                                7   7

3      3                                   3    3                                1

1                                             1

Fom where we can get that biggest common factor is 6

24 ÷  6      =  4

36 ÷  6      =  6

42 ÷  6      =  7

Then Bakery will have  4 groups of oatmeal cookies, 6 of vanilla bean, and 7 chocolate chip

7 0
3 years ago
24kids will attend next week’s field trip. If 5 kids can fit each car. How many cars will be needed?
Kipish [7]

Answer:

The answer is 5.......

Step-by-step explanation:

5x5=25

3 0
3 years ago
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xeze [42]
The answer is d i hope this helps even though you prob wont look
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3 years ago
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