Answer:
24.8
Step-by-step explanation:
We will have to use trigonometry here to find the value of x. The first thing we can see is that we need to work out the hypotenuse. We need to chose whether to use Sin, Cos or Tan. We do that by look at the sides .
→ 'x' is the hypotenuse
→ 12 is opposite
→ The adjacent is the side that doesn't have a numerical value to we look for a formula triangle without adjacent in it
Tan = Opposite ÷ Adjacent
Sin = Opposite ÷ Hypotenuse
Cos = Adjacent ÷ Hypotenuse
We can see the Sin formula has no adjacent in it so we use that formula. However we want to work out the hypotenuse so we have to rearrange the sin formula to get hypotenuse as the subject so
Sin = Opposite ÷ Hypotenuse
Hypotenuse = Opposite ÷ Sin
→ Let's substitute in the values
Hypotenuse = 12 ÷ Sin(29)
Hypotenuse = 24.7519841
So the value of x is 24.8 to 1 decimal place
A is just a variable to cover up any number you want. <span>a can be anything you want, such as the money in your bank account.
a+3
a=200
200+3</span>
[Given]
{ x + y = 6
{ x = y + 4
[Plug-in our x value & solve]
[Given] x + y = 6
[ Plug-in] (y + 4) + y = 6
[Distribute] y + 4 + y = 6
[Combine like terms] 2y + 4 = 6
[Subtract 4 from both sides] 2y = 2
[Divide both sides by 2] y = 1
[Answer]
Third option - (5, 1)
-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly
Have a nice day!
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- Heather
Answer:
1/8
Step-by-step explanation:
(6(3)⁻¹(1))⁻³ n⁰=1
(6/3)⁻³
(2)⁻³
1/(2)³
1/8
Hope it helps