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4 years ago

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: $cos\theta=-\dfrac{3}{5}$

Step-by-step explanation:

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

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

x² + 4² = 5²

x² + 16 = 25

x² = 9

x = 3

Step 2: Use the Quadrant to determine the sign of the x-value

Quadrant II Quadrant I

(--, +) (+, +)

Quadrant III Quadrant IV

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

x is negative in Quadrant II

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

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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 = 34 lacrosse.

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 = 34 lacrosse.

4 0

3 years ago

Pls help I’m going to get in trouble if I don’t finish this test 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