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mars1129 [50]
3 years ago
7

Is the sqrt of 1 - sin^2 theta = cos theta true? If so, in which quadrants does angle theta terminate?

Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

{ \sin }^{2}  theta \: +  {cos}^{2}theta  = 1

{cos}^{2} \: theta  = 1 -  {sin}^{2}  \: theta

cos \: theta =  \sqrt{1 -  { \sin }^{2}theta }

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

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Look at this set of 8 numbers:33769234 how would the range change if the number 6 replaced the number 7 in the set
klio [65]
Put the numbers in order

2,3,3,3,4,6,7,9.....the range is the largest number minus the smallest number
so as it is, the range is (9 - 2) = 7

if u replaced the 7 with a 6...
2,3,3,3,4,6,6,9...the range is STILL (9 - 2) = 7
3 0
2 years ago
Object A has 50 kg while Object B has 75 kg. They were pushed with the same amount of force. Which will have greater acceleratio
raketka [301]

Answer:

Object A will have greater acceleration.

Step-by-step explanation:

Given that,

The mass of object A = 50 kg

The mass of object B = 75 kg

They were pushed with the same amount of force.

We know that, the force acting on an object is given by :

F = ma

Here F is same for both mass

m_1a_1=m_2a_2

Mass and acceleration have inverse relation. It means the object whose mass is less will have greater acceleration. Hence, the acceleration is greater for object A.

3 0
3 years ago
Need help on this math pls points and brainlest Math angles
iVinArrow [24]

Answer:

x = 28

m<ABC = 57°

Step-by-step explanation:

✔️(2x + 1)° + 33° = 90° (complementary angles)

Solve for x

2x + 1 + 33 = 90

Add like terms

2x + 34 = 90

2x = 90 - 34 (subtraction property of equality)

2x = 56

Divide both sides by 2

x = 28

✔️m<ABC = 2x + 1

Plug in the value of x

m<ABC = 2(28) + 1

= 56 + 1

m<ABC = 57°

5 0
3 years ago
Read 2 more answers
Does 3 tents multiplied by 100 equal 300 thousands
kobusy [5.1K]
0.3 times 100 = 30

300 thousands = 0.300.

No it does not
3 0
3 years ago
Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20 pound mixture. If the mixture
lubasha [3.4K]

Answer:

  8x + 3(20 - x) = 5(20)

Step-by-step explanation:

If x represents the number of pounds of $8 chocolates, then (20-x) is the number of pounds of $3 chocolates. The cost of the mix attributable to the $8 chocolates will be 8x, and the cost associated with the $3 chocolates will be 3(20-x). The sum of these costs is the cost of the 20 pounds of mix: $5×20.

In equation form, this is ...

  8x + 3(20-x) = 5(20)

_____

The solution is x=8, so 8 lb of $8 chocolates should be mixed with 12 lb of $3 chocolates to make a mix worth $5 per pound.

6 0
3 years ago
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