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2 years ago

Simplify square root one minus cos squared theta, need explanation please

Mathematics

1 answer:

Maurinko [17]2 years ago

8 0

When you square root something’s it’s times by the same number
-1 squared =-1•-1
1•1=1
-•-=+
-1•-1=+1
=1

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Suppose a club publishes a newsletter. Expenses are$.50 for printing and mailing each copy, plus$300 total for research and writ

luda_lava [24]

200 copies must be sold

n= number od newsletters

0,50*n+300=2,00*n

300=1,5*n

Divide both sides by 1,5

200=n

0,50*200+300=2*200

100+300=400

400=400

5 0

3 years ago

Read 2 more answers

Figure ABCD is a rhombus where the m∠ABC = 84 and m∠ABE = 3x − 6. Solve for x. Rhombus ABCD with diagonals AC and BD and point E

bazaltina [42]

Answer:

x = 16

Step-by-step explanation:

See the attched figure

We should know that, one of the properties of the rhombus is the diagonals bisect the angles of the rhombus.

Given:

m∠ABC = 84 and m∠ABE = 3x − 6

So, m∠ABE = 0.5 * m∠ABC = 0.5 * 84 = 42

∴ 3x - 6 = 42

Solve for x

3x = 42 + 6 = 48

x = 48/3 = 16

∴ x = 16

4 0

3 years ago

Read 2 more answers

The density of a fish tank is 0.3 fish over feet cubed. There are 15 fish in the tank. What is the volume of the tank?

ale4655 [162]

Since Density = mass/ volume (d = m / v), and assuming the 15 fish weigh 1 gram each - if weight of each fish isn't given - (making that a total of 15 grams),

D = m / v
0.3 = 15 / v
v = 15 / 0.3 = 50 ft cubed

Hope this answers your question correctly :)

5 0

3 years ago

NO LINKS!!!! Find the equation of the circle below

inysia [295]

Answer:

$(x+3)^2+(y-2)^2=9$

Step-by-step explanation:

Equation of a circle

$(x-a)^2+(y-b)^2=r^2$

where:

(a, b) is the center
r is the radius

From inspection of the diagram, the center of the circle appears to be at point (-3, 2), although this is not very clear. Therefore, a = -3 and b = 2.

Substitute these values into the general form of the equation of a circle:

$\implies (x-(-3))^2+(y-2)^2=r^2$

$\implies (x+3)^2+(y-2)^2=r^2$

Again, from inspection of the diagram, the maximum vertical point of the circle appears to be at y = 5. Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:

⇒ radius (r) = 5 - 2 = 3

Substitute the found value of r into the equation:

$\implies (x+3)^2+(y-2)^2=3^2$