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cricket20 [7]
3 years ago
12

Find all angles between 0 and 2π satisfying the condition sinx=−√2/2.

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0
Sin = sqrt(2)/2 in intervals of 45 degrees (not counting the axis)

where y is negative, sin(-sqrt2/2) = 225 and 335 degrees
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During the holiday sale at blooming department store all sweaters are discounted 30% on blockbuster Saturday the store discounts
RSB [31]

Answer: He would pay $62.37 for it on blockbuster Saturday.

Step-by-step explanation:

Since we have given that

Original price of sweater = $99

Discount on blockbuster Saturday = 30%

Additional discount on sweater = 10%

So, According to question,

Net\ Price=Price\times \frac{100-Discount}{100}\\\\\text{As there are 2 successive discounts }\\\\So,\\\\Net\ Price=Price\times \frac{100-D_1}{100}\times\frac{100-D_2}{100}

99\times \frac{100-30}{100}\times \frac{100-10}{100}\\\\=99\times \frac{70}{100}\times \frac{90}{100}\\\\=\$62.37

Hence, he would pay $62.37 for it on blockbuster Saturday.

3 0
3 years ago
What is a solution to the system? y = x^2 + 2x - 15 y – 4x = -12
astra-53 [7]

9514 1404 393

Answer:

  (x, y) = (-1, -16) or (3, 0)

Step-by-step explanation:

Perhaps you want to solve the system of equations ...

  • y = x^2 +2x -15
  • y -4x = -12

Substituting the first expression for y into the second equation gives ...

  x^2 +2x -15 -4x = -12

  x^2 -2x -3 = 0 . . . . . . . . add 12

  (x -3)(x +1) = 0 . . . . . . .  factor

Solutions are the values of x that make the factors zero: x = 3, x = -1.

The corresponding values of y are ...

  y = -12 +4x

  y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}

The solutions to the system are ...

  (x, y) = (-1, -16) or (3, 0)

5 0
2 years ago
Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the heigh
Archy [21]

Answer:

6.8 x 12.5 x 13 = 1105

Step-by-step explanation:

3 0
2 years ago
For the function x^2+8x+7<br> evaluate f(4)
taurus [48]

Answer:

I think you would have to plug in 4 as X so it would be 4^2 +8(4)+ 7

that would be 16+ 32 +7 and that would equal 55

4 0
2 years ago
Find the value of x ​
morpeh [17]

Answer:

50

Step-by-step explanation:

140- 40=100

100÷2=50

x=50

6 0
2 years ago
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