MATHEMATICS MIDDLE SCHOOL

A kite has a string that is 300 ft long, The flying kite forms a 62°angle with ahorizontal line running parallel to the ground the bottom end of the string
is 6 ft off the ground. How high is the kite? Round your answer to the nearest
tenth

Answers

Answer 1

Answer:

The height of the kite from the ground is 270 feet.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

/ |

300 ft / |

/ |

A_62°___________|C

| 6 feet

E|________________D

Now,

Sin 62° = BC/AB

0.88 = BC/300

BC = 0.88 x 300

BC = 264 ft

Now,

The height of the kite from the ground.

= BC + CD

= 264 + 6

= 270 ft

Thus,

The height of the kite from the ground is 270 feet.

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Answer 2

Answer:

270.9 ft

Step-by-step explanation:

6 + 300sin(62)

= 270.8842779 ft

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A bar graph shows that sports books received 9 votes. If the scale is 0 to 20 by twos, where should the bar end for the sports books?

Answers

The answer to this question would be: between 8 and 10

In this question, the sports book get 9 votes but the ranges are made by twos which mean only even number will be placed on the track. The closest even number from 9 would be 8(1 number below) and 10(1 number above). So, the bar should be between 8 and 10

PLEASE HELP!! WILL THANK YOU AND MARK BRAINLIEST!!Triangle ABC has vertices A (0,7), B (7,3), and C (1,4): Under the transformation rule, (x,y) —> (x-3,y-4), A’ would be (-3,3).

True

False

Answers

Answer:

True

Step-by-step explanation:

Since the rule is (x, y) ---> (x - 3, y - 4), you would subtract 3 from 0 (the x value of A) which would be -3. Then subtract 4 from 7 (the y value of A), which would be 3. So the answer would be true, that A' would be (-3, 3).

Given O below, the arcs AB and CD must be congruent. True or false?

Answers

Answer:

false

Step-by-step explanation: they do not have the same degree

Answer:

false because the angles (AOB and COD) are not equal

What type of number is 2pi, rational, irrational, whole number, integer

Answers

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How much interest did you gain if you invested in a retirement plan with a rate of 2.5% over 42 years? Your monthly deposits totaled $520

Answers

Final answer:

To calculate interest over time, you need to use the compound interest formula because monthly deposits are being made. However, without more information on how frequently the interest was compounded, we can't find the exact total interest earned from a retirement plan with a 2.5% rate over 42 years with $520 monthly deposits.

Explanation:

The question asks how much interest was gained from investing in a retirement plan with a rate of 2.5% over 42 years. The total monthly deposits were $520. To calculate this, we need to use the simple interest formula which is I=PRT, where 'I' is the interest, 'P' is the principal amount (the initial investment), 'R' is the rate of interest, and 'T' is the period of time.

However, in this case, because the deposits were made monthly, this is not a simple interest problem but a compound interest problem. In such cases, the formula to calculate compound interest (which includes the initial investment amount and the interest earned) is A = P (1 + r/n) ^ nt, where:

'A' is the amount of money accumulated after n years, including interest.
'P' is the principal amount (the initial amount of money)
'r' is the annual interest rate (in decimal)
'n' is the number of times that interest is compounded per year
't' is the time the money is invested for in years

As we don't have enough information to conclude the precise amount (e.g., whether the interest was compounded annually, quarterly, monthly, or daily), we can't calculate the exact value of the interest earned.

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Hopethiswillhelpu...:)

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