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Hunter-Best [27]
3 years ago
12

A plane flying overhead at night is located by two

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

Answer:

Step-by-step explanation:

B

2

3

​

​

Let the distance of two consecutive stones are x, x+1.

In ΔBCD, we have

tan60

o

=

x

h

​

⇒x=

3

​

h

​

      .....(i)

In ΔABC, we have

tan30

o

=

x+1

h

​

⇒

3

​

1

​

=

x+1

h

​

⇒

3

​

h

​

+1=

3

​

h       ......[from equation (i)]

⇒

3

​

2h

​

=1

⇒h=

2

3

​

​

 km

solution

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PLEASE HELP WILL MARK BRAINLIEST THANK U
Naddika [18.5K]

Answer:

89°

Step-By-Step Explanation:

<WYT is the angle 4

<UYW is the angle 5

since angle 4 and 5 are on the same line and

anngle 4 is 91°,

180° - 91° = 89°

This shows that <UYW is 89°

<em><u>If this helped, please consider picking this answer as the Brainliest Answer. Thank you!</u></em>

3 0
2 years ago
Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest. compounded weekly. What is the value of the CD a
blsea [12.9K]

Answer:

The value of the CD at the end of the 4 years is $5,808.86.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.

This means that P = 5000, r = 0.0375

Compounded weekly

An year has 52 weeks, so n = 52

Then

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 5000(1 + \frac{0.0375}{52})^{52t}

What is the value of the CD at the end of the 4 years?

This is A(4). So

A(4) = 5000(1 + \frac{0.0375}{52})^{52*4} = 5808.86

The value of the CD at the end of the 4 years is $5,808.86.

6 0
3 years ago
Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each
Nastasia [14]

Answer: 20x +45y=9500 is the linear equation.

yes, it is possible.

Step-by-step explanation:

given data:

we were told that she would make $20 for each 5K participant and $45 for each 10K participant.

cost of each 5k participant = $20

cost of each 10k participant = $45.

her target = $9500

<u>solution:</u>

<em>let y represent the </em><em>10k</em><em> </em>

let x represent the 5k participant

the linear equation for this scenarios is

20x +45y=9500

(b.) possibility of having 220 participant in the 5k race.

\\20(220) +45y=9500\\4400 + 45y = 9500\\45y = 9500- 4400\\45y = 5100\\y = \frac{5100}{45} \\y = 113

7 0
3 years ago
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How to solve -5 + 8 with solution
AysviL [449]

Answer:

=3

Step-by-step explanation:

-5+8

=3

6 0
3 years ago
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Use the substitution method to solve the system of equations y=-4x 8x-y=6
BARSIC [14]

Answer:

1/2,-2


Step-by-step explanation:


6 0
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