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lorasvet [3.4K]
3 years ago
9

"In the 45°-45°-90° triangle above, r = 10. Find the other two lengths.

Mathematics
1 answer:
Basile [38]3 years ago
5 0

We are given a right triangle that has angles of 45°-45°-90°. This would indicate that the triangle is an isosceles type. We can use some trigonemetric functions to solve for the other legs. We do as follows:

 

sin 45 = p / 10

p = 5√2

 

cos 45 = q /10

q = 5√2

 

<span>Hope this answers the question. Have a nice day.</span>

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Answer:

8(5*3)+(2*5)+(2*10)=360

Step-by-step explanation:

8(15)+(10)+(20)=

8(45)=

6 0
3 years ago
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Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2
Aleksandr [31]

Answer:

a=\frac{3}{x^{2} }

b=5

Step-by-step explanation:

we are given

\frac{3}{x} }+\frac{5}{x^{2} }=ax+\frac{b}{x^{2} }

we will compare both sides of equaion

 \frac{b}{x^{2} }=\frac{5}{x^{2} }

comparing both sides we get

b=5

and

\frac{3}{x} }=ax

a=\frac{3}{x^{2} }

hence

a=\frac{3}{x^{2} }

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4 0
3 years ago
15 POINTS: The ratio of the same side interior angles of two parallel lines is 33:3. Find the measures of all eight angles forme
larisa [96]

Answer:

15^\circ,165^\circ,15^\circ,165^\circ\\15^\circ,165^\circ,15^\circ,165^\circ

Step-by-step explanation:

The ratio of the same side interior angles of two parallel lines is 33:3

If two parallel lines are cut by a transversal

Sum of the same side interior angles = 180 degrees.

Therefore, the two same-side interior angles are:  

\dfrac{33}{36}\times 180^\circ =165^\circ\\\dfrac{3}{36}\times 180^\circ =15^\circ

We can then say that the measure of all eight angles formed by the parallel lines and transversal starting from the upper left in a clockwise rotation is:

15^\circ,165^\circ,15^\circ,165^\circ, 15^\circ,165^\circ,15^\circ,165^\circ

4 0
3 years ago
On the first day of​ June, there were about 17.71 h of daylight in a city. Five months​ later, there were about 5.30 h of daylig
Andru [333]

Answer:

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You are trying to find what percentage of 17.37 is 8.30 first.

 

so What %/100 = 8.30/17.37

 

Now define a variable:

 

Let x = What%  

 

x/100 = 8.30/17.37

17.37x = 830

x = 830/17.37

x ≈ 47.78

 

8.30 is approximately 47.78% of 17.37, so the percentage decrease is 100% - 47.78% = 52.22%

The percentage decrease is approximately 52.22%

7 0
3 years ago
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