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2 years ago

A can of hairspray has a

Mathematics

1 answer:

lara [203]2 years ago

7 0

Answer:

2inches=5.08cm

TSA of cylinder=2πr(r+h)

2×22/7×5.08(5.08+5.08)

6×5.08×10.16

324.42cm^3

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Solve the following equation for 0° ≤ θ < 360°. Use the "^" key on the keyboard to indicate an exponent. For example, sin2x w

never [62]

<u>Answer-</u>

$\boxed{\boxed{x=90^{\circ},270^{\circ}}}$

<u>Solution-</u>

The given equation-

$\Rightarrow 2\sin^2 x-\cos^2 x-2=0$

$\sin^2 x+\cos^2 x=1\ \ \Rightarrow \cos^2 x=1-\sin^2 x$

Putting this,

$\Rightarrow 2\sin^2 x-(1-\sin^2 x)-2=0$

$\Rightarrow 2\sin^2 x-1+\sin^2 x-2=0$

$\Rightarrow 3\sin^2 x-3=0$

$\Rightarrow 3\sin^2 x=3$

$\Rightarrow \sin^2 x=1$

$\Rightarrow \sin x=\sqrt1$

$\Rightarrow \sin x=\pm 1$

$\Rightarrow \sin x=1,\ \sin x=-1$

$\Rightarrow x=\sin^{-1}(1),\ x=\sin^{-1}(-1)$

$\Rightarrow x=90^{\circ}+n360^{\circ},\ x=270^{\circ}+n360^{\circ}$

Where n=0, 1, 2, ......

As given 0° ≤ x < 360°, so putting n = 0

$\Rightarrow x=90^{\circ},\ x=270^{\circ}$

3 0

4 years ago

Sally's cat is 5 years older than Helen's dog. The product of their ages is 104. How old is Helen's dog?

kotykmax [81]

Helen's dog is 8 and Helens cat is 13 if you multiply those two together you get a product of 104 so the answer is C = 8

3 0

3 years ago

Read 2 more answers

(p/4)+rp; use p=4, and r=5

Hatshy [7]

Answer: 21

Step-by-step explanation:4/4=1 5x4=20 20+1 = 21

5 0

3 years ago

Are these linear functions or nonlinear functions, please help ive only gotten fake answers and im on a timed test i just need h

Diano4ka-milaya [45]

Answer:

y = -4 + 2x is linear.

$y=3-x^2$ is not.

Step-by-step explanation:

An equation is linear if its graph forms a straight line.

7 0

2 years ago

The area of a flower bed is 24 square feet. If the other sides were whole number demensions, how many lengths and widths are pos

goldenfox [79]

Answer:

The possible combinations are (4 & 6) ,(8 &3), (2 &12), (24 &1)

Step-by-step explanation:

The area of a flower bed is 24 square feet.

Now, the factors of 24 are 2 x 2 x 2 x 3.

Hence, if the other sides were whole number dimensions, then the possible combinations will be (4 & 6) ,(8 &3), (2 &12), (24 &1)

3 0

4 years ago