Please help me w the equation and please don’t take advantage of the points.

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

(Used a table of common angles)

8 0

3 years ago

Which answer describes the type of sequence? 3,4,5,6,...

In-s [12.5K]

Answer:

Arithmetic Sequence

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference

we have

$3,4,5,6,...$

Let

$a_1=3\\a_2=4\\a_3=5\\a_4=6$

$a_2-a_1=4-3=1$

$a_3-a_2=5-4=1$

$a_4-a_3=6-5=1$

so

the difference between one term and the next is a constant

The common difference is equal to 1

This is an Arithmetic Sequence

6 0

2 years ago

PLEASE HELP ASAP!!

Art [367]

Answer:

See explanation

Step-by-step explanation:

A. P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%

P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333....%

P(side)=25/30=5/6=83.33333333333...%

B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.

7 0

3 years ago

Jacob and his team plays third in this years Ultimate frisbee tournament the o official frisbee be used in the tournament had a

tankabanditka [31]

The circumference is 31.4

7 0

3 years ago

Read 2 more answers

Find all the numbers for each shape

irina1246 [14]

Answer:

1 = pentagon
2 = diamond
3 = square
5 = circle
6 = rectangle
7 = oval
8 = triangle
9 = hexagon
10 = trapezoid

Step-by-step explanation:

Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.

The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.

We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

8 0

2 years ago