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timofeeve [1]
3 years ago
14

in rectangle PQRS, shown below, the diagonal PR is 15 meters. if the sine of angle SPR is 7/10, what is the value of RS?

Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:sin =perpendicular/hypotenuse

Step-by-step explanation:

Sin angle is given use tan theta or cos theta to find the RS

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Find x no need for explanation I just need answer thanks
ikadub [295]

Answer:

x = 12 m

Step-by-step explanation:

Length = x m

Width = 3⅔ = 11/3

Area = 44 m²

Area of rectangle = length × width

Plug in the values into the equation

44 = x \times \frac{11}{3}

44 = \frac{11x}{3}

Multiply both sides by 3

44 \times 3 = \frac{11x}{3} \times 3

132 = 11x

Divide both sides by 11

12 = x

x = 12

3 0
3 years ago
Which set of values could be the sides lengths of a 30-60-90 triangle
Maslowich
Hello,

Let's assume a the hypotenuse

b/a=sin 30°==>b=a/2

c/a=cos 30°==>c=√3 / 2 *a

(√3/2 a, a/2,a) are the sides of the triangle.


7 0
3 years ago
In 1 and 2 create a data table from the point plotted on the graph.
Sever21 [200]

all you have got to do is make a table and in the top put x bottom the numbers that go up are x and the others are y in the table just write down the numbers needed


6 0
3 years ago
Esteban has a big jar of change in his room. He has 600 coins total, and 240 of them are pennies. What percentage of the coins a
Thepotemich [5.8K]
<h2>40 % of coins are pennies.</h2>

Step-by-step explanation:

Total number of coins = 600

Total number of pennies = 240

\texttt{Percentage of the coins are pennies=}\frac{\texttt{Total number of pennies}}{\texttt{Total number of coins}}\times 100\\\\\texttt{Percentage of the coins are pennies=}\frac{240}{600}\times 100\\\\\texttt{Percentage of the coins are pennies=}\frac{240}{6}\\\\\texttt{Percentage of the coins are pennies=}\frac{120}{3}\\\\\texttt{Percentage of the coins are pennies=}40\%

40 % of coins are pennies.

3 0
4 years ago
Read 2 more answers
A police officer would like to estimate the proportion of petty theft cases that have gone unsolved in a large city. He takes a
nata0808 [166]

Answer:

0.625 \pm 1.645*0.0571

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

\pi is the estimate

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}, also called the critical value.

The standard error is:

s = \sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level critical value

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.955, so z = 1.645.

Estimate:

72 petty theft cases and finds 45 of these have gone unsolved.

So \pi = \frac{45}{72} = 0.625

Standard error:

s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.625*0.375}{72}} = 0.0571

Answer:

0.625 \pm 1.645*0.0571

7 0
3 years ago
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