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Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
Answer:
Mekala Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it.
Ratio of techno songs,to country songs,to jazz songs= 4: 2 : 3
Whatever be total number of songs, let the number of techno songs, country songs,and jazz songs be 4 x, 2 x, and 3 x.
Total number of songs that Mekala plans to Listen = 2 70
Then , 4 x + 2 x + 3 x= 270
9 x = 270
Dividing both sides by 9, we get
x = 30
So, Number of techno songs = 4 × 30= 120
Number of techno songs = 2 × 30= 60
Number of jazz songs = 3 × 30= 90
Option (b) b) Close to 60 country songs but probably not exactly 60 country songs ,is true option regarding number of songs listen by Mekala.
Step-by-step explanation:
Answer: (0,2) Explanation: You plug in the coordinates into the equation and find which points make the equation true. Plugging in (0,2) turns the equations into (2•0) + (3•2) = 6. Simplify it and you get 6 = 6 which is true.
Answer:
401
Step-by-step explanation:
1. Approach
To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer
2. Circumference of the circle
The formula to find the circumference of a circle is;
(pi) or 
(pi)
~ diameter times the value (pi)
Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.
Substitute in the values;
(78)(pi)
~ 245
3. Find the perimeter of the entire object
Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;
78 + 78 + 245
= 401
