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LenKa [72]
1 year ago
13

Find x. See attached picture.

Mathematics
1 answer:
pishuonlain [190]1 year ago
3 0

Answer:

B. 22

Step-by-step explanation:

We know tan60=

\sqrt{3}

Let common side be x

Tan = opp/adj= sqrt(3)

\frac{11 \sqrt{6} }{x}  =  \sqrt{3}

Transposing we get :

\frac{11 \sqrt{6} }{ \sqrt{3}}  = x = 11 \sqrt{2}

Now, we know that since the other triangle is a 45-45-90 triangle, we can state that the side adjacent to the given angle = 11 sqrt(2) as the two sides are equal due to the triangle being an isoceles triangle.

Solve for x by using Pythagorean theorem:

\sqrt((11 \sqrt{2}^{2}   + (11 \sqrt{2} )^{2} ) = x

=  > \sqrt{2(11 \times 11 \times  \sqrt{2}  \times \sqrt{2}) }  = x

=  >  \sqrt{484}  = x = 22

Hence answer is B. 22

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Inessa [10]

Given:

PQRS\sim TUVW

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

PQRS\sim TUVW

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

k=\dfrac{VW}{RS}

k=\dfrac{25}{35}

k=\dfrac{5}{7}

Therefore, the scale factor from PQRS to TUVW is k=\dfrac{5}{7}.

6 0
3 years ago
Y = - 0.27x ^ 2 + sqrt(5) * x + 1.34
kotegsom [21]

Answer: the answer is 0.32

Step-by-step explanation: first then

8 0
3 years ago
A researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of adults who think the president of their co
scoray [572]

Answer:

a. n=4148

b. n=3909

c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239

Step-by-step explanation:

a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

n=p(1-p)(\frac{z}{ME})^2

Where:

  • ME=Margin of error
  • p= is the assumed proportion

#Let p=0.5, substitute in the formula to solve for n:

n=0.5(1-0.5)\times (2.576/0.02)^2\\\\=4147.36\approx 4148

Hence, the minimum sample size is 4148

b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

n=p(1-p)(z/ME)^2\\\\=0.38(1-0.38)(2.576/0.02)^2\\\\=3908.47\approx3909

Hence, the minimum sample size is 3909

c. Comparing the sample sizes from a and b:

n_{0.5}>n_{0.38}\\\\n_{0.5}-n_{0.38}=4148-3909=239

Hence, the actual sample size is smaller for a known proportion from prior a prior study.

8 0
3 years ago
Help please!<br>If you know geometry please help!<br>​
tamaranim1 [39]
50+50=100

180-100=80

X=80
4 0
3 years ago
What is the equation, of the perpendicular to y= 1/8x + 2, , passing through the point (1,-5)?
BARSIC [14]

Answer:

yes passing is the best thing to do so you can get a job

Step-by-step explanation:

7 0
3 years ago
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