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VladimirAG [237]
3 years ago
12

Find the value of x. Round to the nearest tenth.

Mathematics
2 answers:
Svet_ta [14]3 years ago
8 0
Right triangle means:
sin, cos, and tangent

Here, we can see that:
sin 35° = \frac{x}{20}

Simplify.

20sin 35° = x

Multiply 20 by sin of 35 degrees.

x = 11.47(ROUNDED)

Answer: Choice C
Natali5045456 [20]3 years ago
6 0
Sine (35) = x / 20
x = sine (35) * 20
x = <span> <span> <span> 11.4716 </span> </span> </span>
Answer is C



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Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet
Mumz [18]

Answer:

296.693\leq x\leq 319.307

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }

Where x' is the sample mean, s is the population standard deviation, n is the sample size and z_{\alpha /2} is the z-score that let a proportion of \alpha /2 on the right tail.

\alpha is calculated as: 100%-99%=1%

So, z_{\alpha/2}=z_{0.005}=2.576

Finally, replacing the values of x' by 308, s by 17, n by 15 and z_{\alpha /2} by 2.576, we get that the confidence interval is:

308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307

6 0
3 years ago
Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n) _
prohojiy [21]
Isosceles Triangle, has 2 equal sides and angles. 
7 0
3 years ago
If a plane can climb at 2,400 feet per minute, how many minutes are needed to climb to 60,000 feet?
cestrela7 [59]

Hi there --

If a plane can climb 2,400 feet per minute, it will need 25 minutes to reach 60,000 feet. // By dividing 60,000 (the needed feet) by 2,400 (the amount of feet the plane can climb per/min) you get 25 (the amount of mins needed to climb 60,000 feet)

Hope this helps! Have a great day! :)

3 0
3 years ago
If two positive angles have a sum of 180 degrees are called
SpyIntel [72]
If two positive angles have a sum of 180 degrees, they are called supplementary angles. 
7 0
3 years ago
Someone help me fast please
lions [1.4K]

Answer:

86

Step-by-step explanation:

<u>Perimeter of WXY = WSY+WRX+XY</u>

<em>--> WSY = SY x 2</em>

--> WSY = 16 x 2 = 32

<em>Since it is an isosceles triangle, WRX = WSY</em>

--> WRX = 32

<em>--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.</em>

<em>--> Solve it using the cos theta rule</em>

--> Angle = Angle X = 70°

    Hypotenuse = WRX = 32

    Adjacent = WA = ?

<em>--> Cos (Angle) = Adjacent/Hypotenuse</em>

    Cos (70) = WA/32

    WA = 10.9 rounded off to 11

--> WA=AY= 11

--> XY = WA + AY = 11+11 = 22

<em>--> Perimeter = WSY+WRX+XY</em>

    Perimeter = 32+32+22

    Perimeter = 86

Therefore, the perimeter of WXY is 86.

4 0
3 years ago
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