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Kisachek [45]
4 years ago
9

If sinθ= 4/5 in quadrant II, what is cosθ?

Mathematics
2 answers:
AURORKA [14]4 years ago
7 0

Answer:

cos theta = -3/5

Step-by-step explanation:

jok3333 [9.3K]4 years ago
5 0

Answer:  cos\theta=-\dfrac{3}{5}

<u>Step-by-step explanation:</u>

sin\theta = \dfrac{y}{r}=\dfrac{4}{5}

<u>Step 1:</u>  Use Pythagorean Theorem: x² + y² = r²  to find the x-value

x² + 4² = 5²

x² + 16 = 25

      x² = 9

       x = 3

<u>Step 2:</u> Use the Quadrant to determine the sign of the x-value

                 Quadrant II                          Quadrant I

                     (--, +)                                     (+, +)

                 Quadrant III                          Quadrant IV

                     (--, --)                                     (+, --)

<em>x is negative in Quadrant II</em>

cos\theta=\dfrac{x}{r}=\large\boxed{-\dfrac{3}{5}}

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Find the arc length of the partial circle.
Len [333]

Answer:

4.71

Step-by-step explanation:

Arc length = 2*pi*r-(pi*r)/2

Arc length = 3*2*(3.14)/4 = 4.71

6 0
3 years ago
Factor completely: 4a^2+b^2−c^2+4ab
Lapatulllka [165]

Answer:

4a^{2} + b^{2}  - c^{2}  + 4ab = (2a + b -c) (2a + b+c)

Step-by-step explanation:

Here, the given expression is 4a^{2} + b^{2}  - c^{2}  + 4ab

or, the given expression can be written as

 (4a^{2} + b^{2}  + 4ab ) - c^{2}

Now, by ALGEBRAIC IDENTITY: (x+y)^{2}  = x^{2} + y^{2}  + 2xy

So, similarly here, (2a +b){2}  = 4a^{2} + b^{2}  + 4ab

Hence, on simplification, the expression

(4a^{2} + b^{2}  + 4ab ) - c^{2} = (2a + b)^{2} - c^{2}

Now, by ALGEBRAIC IDENTITY: (x +y)(x-y) = x^{2}  - y^{2}

So, similarly  (2a + b)^{2} - c^{2}= (2a + b -c) (2a + b+c)

Hence, the given expression is factorized as:

4a^{2} + b^{2}  - c^{2}  + 4ab = (2a + b -c) (2a + b+c)

7 0
3 years ago
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
Whitepunk [10]

The change represents decay and the percentage decrease is 2.9%

<h3>Exponential function</h3>

The standard exponential function is expressed as y = ab^x

where:

a is the initial

b is the rate

If the value of b is less than 1 hence the function is decay and if greater than 1, the function is growth

GIven the expoenential function y=100(0.971)^x

Since the value of b = 0.971 < 1, hence the function is a decay.

The percentage decrease = 1 - 0.971 = 2.9%

Hence the percentage decrease is 2.9%

Learn more on exponential function here: brainly.com/question/12940982

5 0
3 years ago
A save percentage in lacrosse is found by dividing the number of saves by the number of shots faced. A lacrosse goalie saved 6 o
Crazy boy [7]

Answer:

Additional saves = <u>34 lacrosse.</u>

Step-by-step explanation:

 The additional saves = s

Then , the number of saves becomes  = 6+s

and, the number of shots faced = 13+s

Save percentage in lacrosse is found by dividing the number of saves by the number of shots faced that is

\text{ percentage\ in\ lacrosse} =\frac{\text the \ number\ of \ saves}{\text the \ number of shots faced }

\text{ percentage\ in\ lacrosse} =\frac{6+s}{13+s }

Given , the percentage of lacrosse = 0.850

{0.850 } =\frac{6+s}{13+s }

{0.850 \times}({13+s })=6+s

11.05+0.850s=6+s

11.05-6=s-0.850s

5.05=0.15s

s=33.66

Since, additional saves must be an integer so round it off to the nearest integer 34.

Thus, Additional saves = <u>34 lacrosse.</u>

4 0
3 years ago
Pls help I’m going to get in trouble if I don’t finish this test<br> I will mark you as brainlist
kaheart [24]
The ratio is 1:5 tbh or that’s what I think ahahahah
7 0
3 years ago
Read 2 more answers
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