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Tasya [4]
3 years ago
9

Please help! What is x, 8 points!

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

Step-by-step explanation:

Replace tan^2(x) with sin^2 (x ) / cos^2(x)

2 sec(x) sin^3(x) = cos(x) * sin^2(x) / cos^2(x)    Cancel cos(x) with cos^2(x)

2 sec(x) sin^3(x) = sin^2(x) / cos(x)                     Multiply by cos(x) both sides

2 sec(x)*cos(x)*sin^3(x) = sin^2(x)                      Divide sin^2(x) both sides

Note sec(x) and   cos(x) will cancel when multiplied. giving you one

2 sin^3(x) / sin^2(x) = sin^2(x) / sin^2(x)             Do the division

2 sin(x) = 1                                                           Divide by 2

sin(x) = 1/2

x = sin-1(1/2)

x = 30 degrees or 150 degrees.

So the answers are pi/6 and 5/6 pi

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Walt is mixing fruit punch for a party. He combines 1 gallon 2 quarts 3 pints of orange juice, 1 gallon 3 quarts 7 pints of pine
mafiozo [28]
1 gal + 2 qt + 3 pts
1 gal + 3 qt + 7 pts
1 gal + 3 qt + 3 pts
----------------------------add
3 gal + 8 qt + 13 pts

1 gal = 4 qts
1 gal = 8 pts
1 pt = 1/2 qt

13 pts =  6.5 qts
now we have 3 gal + (8 + 6.5) = 3 gal + 14.5 qts
12 qts = 3 gal
now we have : 6 gal + 2.5 qts or 6 gal + 2 qts + 1 pt <=== answer


5 0
3 years ago
If someone answers this you’re gonna be brainliest
Yakvenalex [24]

Answer:

It was helpful to construct points D and A to be the same distance from C because it gives you an equal arc on both sides, which will intersect twice, forming a colinear line that is perpendicular to line AB.

Step-by-step explanation:

4 0
2 years ago
Solve:<br>3 = -2v - V<br>V=​
Y_Kistochka [10]

Answer:

V = −1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3=−2v−v

3=−2v+−v

3=(−2v+−v)(Combine Like Terms)

3=−3v

3=−3v

Step 2: Flip the equation.

−3v=3

Step 3: Divide both sides by -3.

<u>−3v</u>  = <u>3</u>

-3     -3

v=−1

4 0
3 years ago
Read 2 more answers
If natalie and her friends decide to rent 4 lanes at reguler cost for a party ten people need to rent shoes and 4 people are mem
taurus [48]

The question is missing a tabular data. So, it is attached below.

Answer:

The total cost for the party is $74.50.

Step-by-step explanation:

Given:

Lanes rented at regular cost = 4

Cost of 1 lane rented  at regular cost = $9.75

Cost of 1 lane rented for members = $7.50

Cost of 1 shoe rental at regular cost(non members) = $3.95

Cost of 1 shoe rental for members = $2.95

Since, lanes are rented at regular cost, we use unit rate at regular cost

So, cost of 4 lanes rented = 4\times 9.75= \$ 39

Now, out of 10 people who rented shoes, 4 are members. So, the number of non-members is given as:

Non members who rented shoes = 10 - 4 = 6

So, 4 members and 6 nonmembers rented shoes.

So, cost of 6 non members renting shoes = 6\times 3.95=\$ 23.70

Cost of 4 members renting shoes = 4\times 2.95=\$ 11.80

Total cost for the party is the sum of all the costs. This gives,

= 39 + 11.80 + 23.70

= 50.80 + 23.70

= $74.50

Therefore, the total cost for the party is $74.50.

5 0
2 years ago
Calculate the area of a circle with a diameter of 6cm
7nadin3 [17]
Area of circle = πd²/4,    where d = diameter
 
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Area ≈ 28.27 cm²

Hope this explains it.

4 0
3 years ago
Read 2 more answers
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