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lesya692 [45]
3 years ago
10

Can you helpme solve this problem thanks!

Mathematics
1 answer:
Sauron [17]3 years ago
5 0
To find the area of the parallelogram is witdth×hight
8 is the width and 10 is the hight. So the answer is 10×8
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Pls help trig question!!
s2008m [1.1K]

4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x  -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R}  ~\text{Since}~ -1\leq \sin x \leq 1\\

\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~  [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x =  2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68

5 0
2 years ago
Which graph represents f(x)=6cos(4πx) ?
lesya692 [45]

Answer:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

Step-by-step explanation:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

6 0
3 years ago
Use the remainder theorem to find P (-3) for P (x) = x to the power of 4 + 4x to the power of 3 - 3x - 7
Nastasia [14]

Answer:

3, 4, 8

Step-by-step explanation:

5 0
2 years ago
Line I is a perpendicular bisector
kolezko [41]

Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the Perpendicular Bisector Theorem below.

<h3>What is the perpendicular bisector theorem?</h3>

According to the theorem of perpendicular bisector, any locus on the perpendicular bisector is equidistant from the terminal points of the line segment on which it is created.

Thus, Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the attached image.

Learn more about perpendicular bisectors at:
brainly.com/question/11006922
#SPJ1

4 0
1 year ago
a boy is 26 years younger than his father in 3 years time his age will be one third his father's age. Find the boy's present age
larisa [96]

Answer:

61 years old

Step-by-step explanation:

26 plus 3 is 29 and 29 times 3 is 87 and 87 minus 29 is 61

3 0
2 years ago
Read 2 more answers
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