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Tatiana [17]
2 years ago
12

Find the angle of this sector. on the image ​

Mathematics
2 answers:
babymother [125]2 years ago
7 0

\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ s=15\\ r=8 \end{cases}\implies 15=\cfrac{\theta \pi (8)}{180}\implies 15=\cfrac{2\pi \theta }{45} \\\\\\ 675=2\pi \theta \implies \cfrac{657}{2\pi }=\theta \implies 104.56^o\approx \theta =a

KatRina [158]2 years ago
5 0

Answer:

\alpha =107.4^{o}

Step-by-step explanation:

15=\frac{\pi (8)\alpha }{180}

\alpha =\frac{(15)(180)}{8\pi } =\frac{2700}{25.13}=107.4

Hope this helps

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What value of x will make this expression equal to 28.1? A) x=0 is the only value that will make the expression equal to 28.1 B)
Nikolay [14]

Answer:

Any value except -3.44 will make the equation equal to 28.1

Step-by-step explanation:

We are told to multiply the quotient of the fraction by 28.1 to make 28.1. So, it is obvious that the fraction has to simplified to a one. This is possible with any number as whatever the value of x, the numerator and denominator will be equal. But, in the case of -3.44, it will make 5e fraction 0/0, which is undefined and never equal to 1.

I hope this helps

5 0
3 years ago
Pleas help i will mark branlist
koban [17]
D because your making the shape smaller 2 times
8 0
3 years ago
Mrs. Bautista invested Php2700.00 part at 8% and the rest at 11% .How musch did she invest at each rate if her total annual inco
Margarita [4]

Answer:

The answer to the question is

She invested

Php2700.00 at 8 % and

Php 20,400.00 at 11 %

Step-by-step explanation:

To solve the question we note that

Simple interest is given by \frac{P*R*T}{100} where

P= Principal, R = Rate and T = Time

If we call the first part P₁, T₁,  and R₁ and the second part

P₂, T₂,  and R₂

Then {P_1*(1+R_1*T_1}) +{P_*(1+R_2*T_2})  = 2460.00

= 2700×0.08×1 + P₂×0.11×1 = 2460  which gives

2244÷0.11 = P₂ or P₂ = Php 20,400.00

That is she invested

Php2700.00 at 8 % and

Php 20,400.00 at 11 %

5 0
3 years ago
What is the domain and range of <br> f(x)=2x^2+6x+2
lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity,  +infinity).

To find the range, we need to determine the minimum value that f(x) can have.  The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is  x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on.  That happens to be y = -5/2, so the range is [-5/2, infinity).

3 0
3 years ago
Find the distance ??????
Levart [38]

Answer:

Yes

Step-by-step explanation:

5 0
3 years ago
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