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rodikova [14]
3 years ago
12

Given sinθ=4/7 and θ lies in Quadrant II .

Mathematics
1 answer:
AlladinOne [14]3 years ago
5 0

Answer:−√33/7


Step-by-step explanation:

Second quadrant implies cos negative, as cos is projection from

unit circle to x axis.

sin^2+cos^2=1

cos= sqrt(1-sin^2)

sin^2 = 16/49

1-sin^2 = 33/49

sin= -sqrt(33)/7

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The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8?
dolphi86 [110]

Answer:

y= -4

Step-by-step explanation:

x+y=42.   We know that x plus y equals 42.

x=2y .   We also know that x equals twice y.

2y+y=42.   Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14.   3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42.   Now that we know what y equals, let's replace y with 14 from the original equation.

x=28.  Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

4 0
3 years ago
(7.2 x ten to the third) - (2.2 x ten to the fifth)
trapecia [35]

Answer:

-212800

Step-by-step explanation:

7.2 × 10³ = 7.2 × 1000 = 7200

2.2 × 10 to the power 5 = 2.2 × 100000 = 220000

7200 - 220000 = -212800

7 0
3 years ago
Read 2 more answers
HELP ILL GIVE BRAINLIEST
Nikolay [14]

Answer:

-5/7

Step-by-step explanation:

Do you want one?

7 0
3 years ago
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Which equation represents a linear function that has a slope of 4/5<br> and a y-intercept of –6?
vredina [299]

Answer:

\large\boxed{y=\dfrac{4}{5}x-6}

Step-by-step explanation:

The slope-intercept form of equation of a linear function:

y=mx+b

m - slope

b - y-intercept

We have the slope m = 4/5 and the y-intercept b = -6. Substitute:

y=\dfrac{4}{5}x-6

3 0
3 years ago
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According tp the fundamental theorem of algebra, how many zeros does the polynomial below have? f(x)=x^3-10x^2+27x-12
prisoha [69]
The answer is 3.

The fundamental theorem of algebra says that a number of zeros of a polynomial are equal to the highest exponent on a variable. 

The polynomial is <span>f(x)=x</span>³<span>-10x</span>²<span>+27x-12
The highest exponent of a variable x is 3: x</span>³
Therefore, the number of zeroes of the polynomial is 3.
4 0
3 years ago
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