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Orlov [11]
4 years ago
7

What is the length of side s of the square shown below?

Mathematics
2 answers:
Lerok [7]4 years ago
6 0

Answer:

this is sine rule in trigonometry therefore:

  • <u>sin90</u><u> </u>= <u>sin45</u><u> </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>8. S

  • S sin90 = 8*sin45
  • S=<u>8</u><u>*</u><u>sin45 </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u> sin45

  • S=<u>5.656854249</u>

1

  • S=5

Step-by-step explanation:

therefore S is 5

avanturin [10]4 years ago
6 0

Answer: S = 5.6569

Step-by-step explanation:

Given; let A=45° a = s B=90 ° b=8

using the sine rule;

sinA / a = sin B / b

sin45° / s = sin90° / 8

cross multiply

s × sin 90° = 8 × sin 45°

s × sin 90° = 8 × 0. 7071

s × 1 = 5. 6569

s = 5. 6569

Therefore; the length of the square is 5. 6569

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If 7 gallons of paint are needed to paint 4 rooms. How many gallons of paint will they need to paint 11? set up the proportion t
charle [14.2K]

Given the information, we have a direct proportionality. Then, the proportions would be:

\frac{7}{x}=\frac{4}{11}

solving for x we get the following:

\begin{gathered} \frac{7}{x}=\frac{4}{11} \\ \Rightarrow7=\frac{4}{11}\cdot x \\ \Rightarrow\frac{7}{\frac{4}{11}}=x \\ \Rightarrow x=\frac{11\cdot7}{4}=\frac{77}{4}=19\frac{1}{4} \\ x=19\frac{1}{4} \end{gathered}

therefore, to paint 11 rooms, we will need 19 1/4 gallons of paint

5 0
1 year ago
Zach scores a ringer 40, percent of the time that he throws a horseshoe. Let R be the number of throws it takes Zach to score hi
Eduardwww [97]

Answer:

0.1296

Step-by-step explanation:

The desired probability is calculated by using geometric probability distribution having the pdf of

P(X=r)=p*q^r-1 where x=1,2,3,....

The geometric distribution is used because experiment is repeated various number of times until the success is obtained.

Here p is the probability of success which is 0.4 in the given scenario as Zach scores a ringer 40% percent of time

We wish to calculate the probability that Zach throws 555 or more to achieve his first ringer that is

P(R≥5)=1-P(R<5)=1-P(R≤4)

P(R≤4)=P(R=1)+P(R=2)+P(R=3)+P(R=4)

P(R≤4)=0.4*0.6^0+0.4*0.6^1+0.4*0.6^2+0.4*0.6^3

P(R≤4)=0.4+0.4*0.6+0.4*0.36+0.4*0.216

P(R≤4)=0.8704

P(R≥5)=1-P(R≤4)=1-0.8704=0.1296.

So it is 12.96% chance that the Zach throws 555 or more to achieve his first ringer.

5 0
3 years ago
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Answer:

∠T ≅ ∠A

Step-by-step explanation:

Since, ∆MTW ≅ ∆CAD

Therefore, ∠T ≅ ∠A (cpct)

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Does this say 15/7 divided by 42/7?
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