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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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Zepler [3.9K]

Answer:

- 16 <  - 0.41111... <  -0.41 <  \frac{3}{7}  < 1.25 < 11

Step-by-step explanation:

\frac{3}{7}  = 3 \div 7  = 0.428...

5 0
3 years ago
a carton can hold 1,000 unit cubes that measure 1 inch by 1 inch by 1 inch. describe the dimensions of the carton using cubes
Alik [6]
<span>Volume of the carton=1000 cubic inches.
Dimensions of the carton are 10 inches by 10 inches by 10 inches</span><span>10*10*10 = 1000*1*1*1 

Hoped this helped!
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3 0
3 years ago
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6
ddd [48]

Answer:

The population of bacteria after 6 days is 2,313.06

Step-by-step explanation:

Given as :

The initial population of bacteria = i = 1,000 bacteria

The growth rate of bacteria per day = 15%

Let The population of bacteria after 6 days = f

The time period of growth = 6 days

<u>Now, According to question</u>

The population of bacteria after 6 days = initial population × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, f = i × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, f = 1000 × (1+\dfrac{\textrm 15}{100})^{\textrm 6}

Or, f = 1000 × (1.15)^{6}

Or, f = 1000 × 2.31306

∴  f = 2,313.06

So,The population of bacteria after 6 days = f = 2,313.06

Hence,The population of bacteria after 6 days is 2,313.06  Answer

3 0
3 years ago
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KengaRu [80]
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in this question prime factors of the numbers are,
18=2×2×3
45=3×3×3
90=2×3×3×5
the common factors are 3 and 3. so now multiply 3 by 3= 9

answer=9
hope this helps....
3 0
3 years ago
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A. 56 cards

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