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Ratling [72]
3 years ago
14

I need help with math

Mathematics
2 answers:
Leokris [45]3 years ago
6 0

Answer:

a. 64 b. 94 c. 24.9

Step-by-step explanation:

All you have to do is just divide them

OverLord2011 [107]3 years ago
3 0
It's easy all u have to do is turn each decimal into whole numbers and divide them
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Evaluate the expression using an appropriate double angle formula.. cos^2(15) - sin^2(15)
riadik2000 [5.3K]
Cos²(15°) - sin²(15°) = cos(15° * 2) = √(3/2 so this is the answer by using apropriate formula  double angle identity
7 0
3 years ago
Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ<2π0≤θ<2π (a)(9,0
DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

x=r  \cos \theta, y= r \sin \theta

r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )

a) converts (9, 0) to polar coordinates  ( r , θ)

r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9

\theta= \tan^-^1 (\frac{0}{9} )\\\\=0

b) Convert (18,\frac{18}{\sqrt{3} } ) to polar coordinates ( r, θ)

r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}

\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}

c)  converts (-5, 5) to polar coordinates  ( r , θ)

r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}

\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}

d)  converts (-1, √3) to polar coordinates  ( r , θ)

r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2

\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}

= \frac{2\pi}{\sqrt{3} }

6 0
3 years ago
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
nlexa [21]

Answer:

190 ft^2

Step-by-step explanation:

So first we need to find which equation we're using and since it's a rectangular prism we're going to use:

2Lw + 2wh + 2Lh

Now what we need to do is plug in the values

2*9*2 + 2*2*7 + 2*9*7

Now just multiply everything and then add it together.

36 + 28 + 126

Once you add everything together you get:

190

The question says to include the correct unit. It says that its feet, but we need to know if its feet squared (^2) or cubed (^3)

If it were area of the whole object, it would be cubed because it is all the area that the object takes up but since it's just the area of the surface it's going to be squared. Therefore, the answer is:

190 ft^2

4 0
3 years ago
The last time he checked, Matthew was 40 inches tall. Matthew just measured himself again and found out that he is 10% taller no
weqwewe [10]
44 inches.

All you have to do is find out what 10% of 40 is then add it back to 40. In the case of finding 10% of something you just “chop” of the back number (or move the decimal place forward) so 10% of 40 is 4. The. 40+4=44.

You can also multiply fractions to find the percent of a number but that is not necessary in this case.
8 0
4 years ago
Round 492.3069 to the nearest thousandth
Llana [10]
The answer is 492.307
The number after the thousandths is 9 - greater than 5 - so we round 6 up to 7.
4 0
3 years ago
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