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valentina_108 [34]
3 years ago
9

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. (Use Pi = 3.14) SHOW WORK!

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

i just want some friends

Step-by-step explanation:

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Angle A is circumscribed about circle O what is the length of AB
Nana76 [90]

Answer:

AB \approx 4.054

Step-by-step explanation:

The trigonometric equations associated with the figure are, respectively:

AB = 4\cdot \cos 73^{\circ} + 3\cdot \cos \alpha

4\cdot \sin 73^{\circ} = 3 +3\cdot \sin \alpha

The components with the unknown angle are cleared and used in the fundamental trigonometric relation:

3\cdot \cos \alpha = AB - 4\cdot \cos 73^{\circ}

3\cdot \sin \alpha = 4\cdot \sin 73^{\circ} - 3

9\cdot \cos^{2}\alpha + 9\cdot \sin^{2}\alpha =(AB-4\cdot \cos 73^{\circ})^{2}+(4\cdot \sin 73^{\circ}-3)^{2}

9 = AB^{2}-2.339\cdot AB + 1.368 + 0.681

The following second-order polynomial is presented below:

AB^{2}-2.339\cdot AB -6.951 = 0

Roots of the polynomial are described hereafter:

AB_{1} \approx 4.054 and AB_{2} \approx -1.715

Only the first root is reasonable, as length is a positive variable. The length is AB \approx 4.054.

6 0
3 years ago
a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
Label each statement as true or false regarding the zeros/roots of a quadratic function. The roots zeros of a quadratic function
ikadub [295]

Answer:

True, false, true, true.

Step-by-step explanation:

The roots zeros of a quadratic function are the same as the factors of the quadratic function. This is true because your roots are your factors—>(x-3) is a factor, x=3 is the root.

The roots zeros are the spots where the quadratic function intersects with the y-axis. No! Those are called y-intercepts!

The roots zeros are the spots where the quadratic function intersects with the x-axis. True. X-intercepts are your solutions. (x-3) graphed would the (3,0). That’s a solution.

There are not always two roots/zeros of a quadratic function,​ True. No solution would be when your quadratic doesn’t intersect the x-axis. One solution would be when your vertex would be on the x-axis. Two solutions is when your quadratic intersects the x-axis twice. Can there be infinite solutions? No. It’s either 0, 1, or 2 solutions.

6 0
3 years ago
Make the following conversion. 954 g = _____ kg 95400 954000 0.0954 0.954
Natali [406]

954 g = ______ kg

1000 g = 1 kg

954 / 1000 = 0.954 kg

3 0
3 years ago
Read 2 more answers
0.73 as a fraction. please
Shalnov [3]

Answer:

73/100

Step-by-step explanation:

.73 is 73 hundredth which is also 73/100.

3 0
3 years ago
Read 2 more answers
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