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12345 [234]
2 years ago
10

Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry​ bread, 1/6 of the blueberries to make​ pancakes, and

5/12 of the blueberries to make jam. If Wayne uses 69 ounces of the blueberries he​ bought, how many ounces of blueberries did he​ buy?
Mathematics
1 answer:
Montano1993 [528]2 years ago
4 0
Berries and cream
Explanation
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The value pi/4 is a solution for the equation 3 sqrt 2 cos theta+2=-1
natulia [17]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

3\sqrt2\cos\theta+2=-1\\\\\text{Method 1}\\\\\text{Put}\ \theta=\dfrac{\pi}{4}\ \text{to the equation and check the equality:}\\\\\cos\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}\\\\L_s=3\sqrt2\cos\dfrac{\pi}{4}+2=3\sqrt2\left(\dfrac{\sqrt2}{2}\right)+2=\dfrac{(3\sqrt2)(\sqrt2)}{2}+2\\\\=\dfrac{(3)(2)}{2}+2=3+2=5\\\\R_s=-1\\\\L_s\neq R_s\\\\\boxed{FALSE}

\text{Method 2}\\\\\text{Solve the equation:}\\\\3\sqrt2\cos\theta+2=-1\qquad\text{subtract 2 from both sides}\\\\3\sqrt2\cos\theta=-3\qquad\text{divide both sides by}\ 3\sqrt2\\\\\cos\theta=-\dfrac{3}{3\sqrt2}\\\\\cos\theta=-\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}\\\\\cos\theta=-\dfrac{\sqrt2}{2}\to\theta=\dfrac{3\pi}{4}+2k\pi\ \vee\ \theta=-\dfrac{3\pi}{4}+2k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\text{It's not equal to}\ \dfrac{\pi}{4}\ \text{for any value of }\ k.

7 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1? -3 - -
Shalnov [3]

Answer: 2/3x

Step-by-step explanation:

First, you need to simplify your original line to point slope formula. Dividing the whole thing by 2 to get y by itself leaves you with

y = 3/2x - 1/2

Any perpendicular line has the opposite slope to the line it is perpendicular to, so you flip the slope to get 2/3x

8 0
3 years ago
4x&gt;=112 <br> A.25<br> B.27<br> C.28<br> D.33<br> E.1<br> F.21
irina1246 [14]

Answer:

C

Step-by-step explanation:

112 divided by 4 equals 28

8 0
3 years ago
WILL UPVOTE!<br> Factor the expression.<br> 4r^2 − 49 =
chubhunter [2.5K]
Would it be
(2r-7)*(2r+7)

?
6 0
4 years ago
Write the equation of the line that goes through points (9, 1) and (-1, 6) in slope-intercept form.
stepladder [879]

Answer:

y= -1/2x + 11/2

Step-by-step explanation:

7 0
3 years ago
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