We know,
sin(x) and cos(x) have minimum value equal to -1 and maximum value is 1.
Maximum value of sin(x) is 1
So we replace sin by 1 in our given equation
![y=-2+5sin(\frac{\pi }{12}(x-2))](https://tex.z-dn.net/?f=y%3D-2%2B5sin%28%5Cfrac%7B%5Cpi%20%7D%7B12%7D%28x-2%29%29)
When we replace sin by 1 we will get
![y=-2+5(1))](https://tex.z-dn.net/?f=y%3D-2%2B5%281%29%29)
y= -2+5 = 3
So maximum value is 3
<span>If the nemesis has "7/8 of her cats plus 2" it can be written like this: 7/8 x + 2 = x, where x is the number of the cats. After that we can solve the equation. x - 7/8 x = 2; 1/8 x = 2; x = 2 : 1/8 = 2 * 8 = 16. Answer: The nemesis has 16 cats.</span>
Answer:
1. Trapezoid
2. Kite
3. Square, Rhombus
Step-by-step explanation:
Given - Use the properties of quadrilaterals to complete the statements.
To find - A ..... has exactly one pair of parallel sides.
A ....... must have two pairs of adjacent sides congruent.
A ........ must have all congruent sides.
Proof -
A Trapezoid has exactly one pair of parallel sides.
A Kite must have two pairs of adjacent sides congruent.
A Square, Rhombus must have all congruent sides.
Reason -
- A trapezoid is a quadrilateral with exactly one pair of parallel sides.
- A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
- A rhombus is a parallelogram with four congruent sides.
- A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.
Answer:
24 Teaspoons
Step-by-step explanation:
If 1 Tablespoon equals 3 Teaspoons, then we can make the equation 3(8)=24.
We can factor out the 1 Tablespoon for 8 and multiply to reach our answer.
1 = 3
8 = ?
8 x 3 = 24
24/1 = 24
? = 24
Thanks,
Greg
Answer:
f. the sequence goes by the half of the previous number.
= 16, 8, 4, 2, 1, 1/2, 1/4, 1/8...
g. the sequence goes by adding the consecutive odd number added to the previous number.
first number= 3.
second number= 3+3
= 6
third number= 6+5
= 11
fourth number= 11+7
= 18
fifth number= 18+9
= 27
sixth number= 27+11
= 38
seventh number= 38+13
= 51, etc.
= 3, 6, 11, 18, 27, 38, 51...