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LuckyWell [14K]

3 years ago

6

Please open the document to see the picture of the triangle. Find the area of the triangle. Remember: 1/2bh (1/2 x b x h). Also,

remember to label your answer.

1 answer:

Anna007 [38]3 years ago

5 0

Answer:

So the answer is 12cm square

Step-by-step explanation:

Base is 6cm and hight is 4 so 6×4 is 24÷2 is 12

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P^-4q^3r^-7 over p^-2q^3p^-2 simplify

kondaur [170]

Answer:

$\large\boxed{r^{-7}=\dfrac{1}{r^7}}$

Step-by-step explanation:

$\dfrac{p^{-4}q^3r^{-7}}{p^{-2}q^3p^{-2}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=p^{-4-(-2)-(-2)}q^{3-3}r^{-7}\\\\=p^{-4+2+2}q^0r^{-7}\\\\=p^0q^0r^{-7}\\\\=r^{-7}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{r^7}$

6 0

3 years ago

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How do I verify this identity? I know you should write sin2a as sin(a+a).

Kisachek [45]

SOLUTION

Given the question in the image, the following are the solution steps to verify the identity

STEP 1: Write the given identity

$\sin 2\alpha=2\sin \alpha\cos \alpha$

STEP 2: Verify the identity

$\begin{gathered} \sin 2\alpha=2\sin \alpha\cos \alpha \\ \text{Consider the left hand side of the above trigonometry identity.} \\ \text{That is, }\sin 2\alpha\text{.} \\ \text{ Rewrite }\sin 2\alpha\text{ as }\sin (\alpha+a) \\ \text{ It is known that }\sin (a+b)=\sin (a)\cos b+\cos (a)\sin (b) \\ U\sin g\text{ this statement above, we have;} \\ \sin (\alpha+a)=\sin a\cos \alpha+\cos a\sin \alpha \\ \text{It is known that }xy+yx=xy+xy=2\times xy=2xy \\ U\sin g\text{ this statement above, we have;} \\ \sin a\cos \alpha+\cos a\sin \alpha=\sin a\cos \alpha+\sin \alpha\cos \alpha=2\times\sin \alpha\cos \alpha=2\sin \alpha\cos \alpha \\ \text{Hence, }\sin 2\alpha=2\sin \alpha\cos \alpha \end{gathered}$

The verification of the identity is as seen above.

7 0

1 year ago

The sum of three times the square of a number and -7

Ganezh [65]

Answer:

3x² - 7

Step-by-step explanation:

3 times (number squared) and sum with (-7)

3 times x² and add (-7)

3x² + (-7)

3x² - 7

3 0

2 years ago

Transform both equations in each system of equations so that each coefficient is an integer.

inysia [295]

For the first one multiply each term by the LCM of 4 and 6, which is 12:-

15x -36 = 2y..................(1)

and second multiply by 5:-

2x + y = 9..............(2)

solving:-
from equation (2) y = 9-2x, substitute in equation (1):-

15x - 36 = 2(9-2x) = 18 - 4x
19x = 54
x = 54/19 = 2.84

so y = 9 - 2(2.84) = 3.32

4 0

3 years ago

A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?

klemol [59]

Answer:

How much is 44 out of 100 written as a percentage? Convert fraction (ratio) 44 / 100 Answer: 44%

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers