The cost of apples at foodtown is 3 for 69 cents, how many apples can I purchase for $30?

12. Joe counted 5 birch trees in the park. Sara counted 235 pine trees. How many times as many pine trees as birch trees did the

Fittoniya [83]

Answer:

47

Step-by-step explanation: make sure to divide correctly

7 0

2 years ago

Read 2 more answers

What is the scale factor of this dilation?

Luden [163]

The answer is 3/5 because i did the math on my paper and yea

8 0

2 years ago

How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0

ziro4ka [17]

Answer:

$\displaystyle x = \frac{\pi}{3} +k\, \pi$ or $\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ , where $k$ is an integer.

There are three such angles between $0$ and $2\pi$ : $\displaystyle \frac{\pi}{3}$ , $\displaystyle \frac{2\, \pi}{3}$ , and $\displaystyle \frac{4\,\pi}{3}$ .

Step-by-step explanation:

By the double angle identity of sines:

$\sin(2\, x) = 2\, \sin x \cdot \cos x$ .

Rewrite the original equation with this identity:

$2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0$ .

Note, that $2\, (2\, \sin x \cdot \cos x)$ and $(-2\, \sin x)$ share the common factor $(2\, \sin x)$ . On the other hand, $2\sqrt{3}\, \cos x$ and $(-\sqrt{3})$ share the common factor $\sqrt[3}$ . Combine these terms pairwise using the two common factors:

$(2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0$ .

Note the new common factor $(2\, \cos x - 1)$ . Therefore:

$\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0$ .

This equation holds as long as either $\left(2\, \sin x + \sqrt{3}\right)$ or $(2\, \cos x - 1)$ is zero. Let $k$ be an integer. Accordingly:

$\displaystyle \sin x = -\frac{\sqrt{3}}{2}$ , which corresponds to $\displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi$ .
$\displaystyle \cos x = \frac{1}{2}$ , which corresponds to $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ and $\displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi$ .

Any $x$ that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

$\displaystyle x = \frac{\pi}{3} + k \, \pi$ (from $\displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi$ and $\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi$ , combined,) as well as
$\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi$ .

7 0

2 years ago

Multiplication Property of One<br> 1⋅w⋅16

expeople1 [14]

Answer:

The correct answer is 16w.

Step-by-step explanation:

w = 1w

1⋅w⋅16 =

1⋅1w⋅16 =

16w

Therefore, the correct answer is 16w.

Hope this helps! :D

7 0

2 years ago

ASNWER CORRECTLY AND YOU WILL GET 40 POINTS ALONG WITH BRAINLIEST

FromTheMoon [43]

Answer:

60

Step-by-step explanation:

What we know:

ABD is a straight angle, it measures 180 degrees
Angle CBA + CBD = 180 degrees
Angle GFH = CBA (they are alternate exterior angles)

Equation:

GFH + CBD = 180

Substitute:

3x + 6x = 180

Add:

3x + 6x = 180

9x = 180

Divide:

9x = 180

/9 /9

x = 20

Substitute:

GFH = 3x

GFH = 3(20)

GFH = 60

m<GFH is 60°

8 0

3 years ago