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2 years ago

Sin²A-cos²A=2sin²A-1

Mathematics

2 answers:

xz_007 [3.2K]2 years ago

8 0

$\sin^2\alpha-\cos^2\alpha=2\sin^2\alpha-1\\\sin^2\alpha+\cos^2\alpha=1$

This is the Pythagorean identity, therefore $\alpha\in\mathbb{R}$ .

Inga [223]2 years ago

7 0

Step-by-step explanation:

please mark me as brainlest

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P=2L +2W;P=32,W=7 25 16 12.5 9

Marianna [84]

Answer:

L = 9

Step-by-step explanation:

Assuming you are trying to find L

P = 2L + 2W

P = 32

32 = 2L + 2W

W = 7

32 = 2L + (2 × 7)

32 = 2L + 14

2L = 32 - 14

2L = 18

L = 9

5 0

3 years ago

A recipe requires 5/6 of a cup of sugar. If mrs.Marina is going to make one half of the recipe, how much sugar does she need

NemiM [27]

Answer:

$Half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.$

Step-by-step explanation:

As given

$A\ recipe\ requires\ \frac{5}{6}\ of\ a\ cup\ of\ sugar.$

i.e

$\frac{5}{6}\ cup\ of\ sugar = 1\ recipe$

As the mrs.Marina is going to make one half of the recipe .

$Thus\ multiply\ above\ by\ \frac{1}{2}.$

We get

$\frac{5\times 1}{6\times 2}\ cup\ of\ sugar = \frac{1}{2}\ recipe$

solving the above

$\frac{5}{12}\ cup\ of\ sugar = \frac{1}{2}\ recipe$

$Therefore\ half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.$

7 0

3 years ago

Absolute Value is always positive. True False

kramer

Answer: False

Step-by-step explanation: Absolute value means distance from zero on a number line. A common mistake is to assume that absolute value is always positive but that's not necessarily the case.

Take 0 for example.

It's 0 units away from zero on a number line which

means it has an absolute value of zero.

However, all other numbers besides zero will have

an absolute value that is positive.

5 0

4 years ago

Constance's car has a 12-gallon gas

antiseptic1488 [7]

Answer:

7.5 hours

Step-by-step explanation:

Constance's car has a 12-gallon gas tank.

She can travel 25 miles on one gallon of gas, so she can travel

$25\cdot 12=300$ miles using all gas from the tank.

Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour.

So, Constance can drive for

$300 : 40=7.5$ hours.

3 0

3 years ago

Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.

Lubov Fominskaja [6]

Answer:

5+√97/4

Also 5-√97/4

Step-by-step explanation:

The Quadratic formula is x=-b+-√b^2-4ac/2a

This means that we should plug the values for A B AND C into the formula

We can work out that

A = 2

B=-5

C=-9

Once we have put these into the formula we get

5+√97/4 (all over 4) aka 3.71

Also 5-√97/4 (all over 4) aka -1.21

7 0

3 years ago

Read 2 more answers

Sin²A-cos²A=2sin²A-1​

Sin²A-cos²A=2sin²A-1