<u>Answer</u>
1st number = x
2nd number = 4x
3rd number = x + 100
sum of three numbers = 592
x + 4x + x + 100 = 592
6x + 100 = 592
6x = 592 - 100
6x = 492
x = 492/6
x = 82
1st number, x = 82
1st number, x = 822nd number, 4x = 328
1st number, x = 822nd number, 4x = 3283rd number, x+100 = 182
check :
82 + 328 + 182 = 592
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Take the right angled triangle with sides 13, 12 and 5. sine theta will be 12/13
When sin theta < 0 and cos theta < 0 we are in the third quadrant so sin theta will be -12/13
tan theta = sin theta / cos theta = -5/13 / -12/13 = -5*13 / -12*13 = 5/12
Answer:
Make me op
Step-by-step explanation:
84 answer. of 9*2 +18\16
Answer:
1. reflection across x-axis
2. translation 6 units to the right and 3 units up (x+6,y+3)
Step-by-step explanation:
The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).
First transformation is the reflection across the x-axis with the rule
(x,y)→(x,-y)
so,
- A(-5,2)→A'(-5,-2)
- B(-3,4)→B'(-3,-4)
- C(-2,4)→C'(-2,-4)
- D(-1,2)→D'(-1,-2)
Second transformation is translation 6 units to the right and 3 units up with the rule
(x,y)→(x+6,y+3)
so,
- A'(-5,-2)→E(1,1)
- B'(-3,-4)→H(3,-1)
- C'(-2,-4)→G(4,-1)
- D'(-1,-2)→F(5,1)
75/10 is 7.5 as a fraction