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Helga [31]
2 years ago
6

This is hard please help it makes no sense

Mathematics
2 answers:
posledela2 years ago
8 0

We will find the length of DE using trigonometric ratios. And the trigonometric ratio we will use here is

\sf \tan( \theta)  =  \frac{opposite}{adjacent}

  • Opposite = 17 m
  • Adjacent = DE
  • θ = 51°

\tt \tan(51°)  =  \frac{17}{x}

\tt \tan(51°)  \times x = 17

\tt \: x =  \frac{17}{ \tan(51°) }

\tt \: x≈13.766

\boxed{ \sf \: x≈13.8 \: (when \: rounded \: off)}

<em>Thus, Option C is the correct choice!!~</em>

tigry1 [53]2 years ago
3 0

Answer:

lk12

Step-by-step explanation:

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A rectangle has a length that is increasing at a rate of 10 mm per second with the width being held constant. What is the rate o
NISA [10]

Answer:

the rate of change of the area is Ra= 80 mm² per second

Step-by-step explanation:

the area of a rectangle (A) is

A = L * W , L= length and W= width

if the width remains constant the change in the area is only due to the change in length , thus:

ΔA = Δ( L * W ) = W * ΔL , where ΔA represents the change in area and ΔL represents the change in length

ΔA = W ΔL

denoting Δt as the time required to change, and dividing both sides by Δt

ΔA/Δt = W ΔL/Δt

where Ra=ΔA/Δt = rate of change of the area and RL=ΔL/Δt rate of change of the length.

thus

Ra = W * RL

replacing values

Ra = W * RL = 8 mm * 10 mm/second = 80 mm² /second

6 0
2 years ago
7. A coin is tossed and a day of the week is selected. What is the probability that you get tails and a day that begins with "S"
Mrrafil [7]

Answer:

1/7

Step-by-step explanation:

Lets start with the probability of flipping tails, 1/2.

Then the probability of the day starting with the letter s, 2/7.

Calculate the final probability by multiplying the two together.

\frac{1}{2}*\frac{2}{7}=\frac{2}{14}

You can simplify 2/14 down to 1/7

6 0
1 year ago
79
Zinaida [17]

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

6 0
2 years ago
(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how
Sliva [168]

Answer:

The total amount that he would have paid after 3 years is $1183.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

I represents interest paid on the amount owed.

P represents the principal or initial amount owed.

R represents interest rate

T represents the duration for which the amount was owed in years.

P = $795

R = 16.25

T = 3 years

I = (795 × 16.25 × 3) ÷ 100

I = $388

Total amount that he would have paid after 3 years is $795 + $388 = $1183

7 0
2 years ago
Five distinct numbers are randomly distributed to players numbers 1 through 5. Whenever two playerscompare their numbers, the on
ad-work [718]

Answer:

Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that  

P(X=0)=\frac{1}{2}

<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

P(X=1)=\frac{1}{6}

<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

P(X=2)=\frac{1}{12}

<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence  

P(X=3)=\frac{1}{20}

<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence

P(X=4)=\frac{1}{5}

7 0
3 years ago
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