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Lera25 [3.4K]
3 years ago
9

WILL GIVE BRAINLIEST!!

Mathematics
1 answer:
34kurt3 years ago
6 0
The answers C. the number doubles each hour
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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ > 0. What is
ankoles [38]

Answer:

Option A. -(\frac{\sqrt{17}}{17})

Step-by-step explanation:

Equation of a given line is a + 4b = 0 or b = -\frac{1}{4}a

This in the form of y = mx + b, which is slope-intercept form.

Here slope of the line is (-\frac{1}{4}).

Or tanθ = \frac{(-1)}{4}

This line coincides with the terminal side of the angle in standard position where cosθ > 0

Since tanθ = \frac{\text{Height}}{\text{Base}}

and sinθ = \frac{\text{height}}{\txt{Hypotenuse}}

Hypotenuse = \sqrt{\text{height}^{2}+\text{Base}^{2}}

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

                     = \sqrt{17}

Since tanθ is negative and cosθ > 0 that means θ lie in fourth quadrant.

Therefore, sinθ will be negative.

[ \frac{-sin\theta}{+cos\theta}=-tan\theta ]

sinθ = -\frac{1}{\sqrt{17}}

       = -\frac{1}{\sqrt{17}}\times \frac{\sqrt{17} }{\sqrt{17}} = -\frac{\sqrt{17}}{17}

Answer will be option A.

6 0
3 years ago
Which equation can be used to solve for x in the following diagram.
WITCHER [35]

Answer:

C. (3x+12) + x = 180

Step-by-step explanation:

the 2 angles create a straight line which is 180 degrees, so (3x+12) + x = 180

7 0
2 years ago
Create an exponential to describe $100 at 2% interest compounded annually for x years
zysi [14]

Answer:

A=100(1.02)^{x}                  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=x\ years\\ P=\$100\\ r=2\%=2/100=0.02\\n=1  

substitute in the formula above

A=100(1+\frac{0.02}{1})^{1*x}  

A=100(1.02)^{x}  

8 0
4 years ago
(a) Find an angle between 0° and 360° that is coterminal with – 120°.
Novay_Z [31]

Answer:

a)  240\degree

b) \frac{15\pi}{4}

Step-by-step explanation:

<u>Coterminal angles</u> have the same terminal sides in standard position.

a) To find an angle between 0\degree and 360\degree, that is coterminal with -120\degree, we keep adding multiples of 360\degree until we get an angle within the specified range.

 -120\degree \implies -120\degree +360\degree=240\degree.

In some cases you would have to subtract in order to get the specified angle. That is when the angle given is positive.

b) This time we want to find an that coterminal with \frac{15\pi}{4} radians.

We keep subtracting multiples of 2\pi until we get an angle measure within the specified range.

\frac{15\pi}{4}=\frac{15\pi}{4}-2\pi=\frac{7\pi}{4}

4 0
3 years ago
Please help help help
mash [69]

Answer:

a, 2 cups of rice bubbles

3/4 cups icing sugar

1 1/2 tablespoons of cocoa

1/2 cup of desiccated coconut

125 g Copha

7 0
4 years ago
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