Geometry question pls help
Geometry question pls help - 1

Answers

Answer 1
Answer:

Answer:

25π/6 yd

Step-by-step explanation:

∠DCE = 110°, so arc DFE = 360° − 110° = 250°.

In radians, that's 250° × π/180° = 25π/18.

Arc length is:

s = rθ

s = (3 yd) (25π/18)

s = 25π/6 yd


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Which of the following correctly represents the set of numbers using interval notation?

Answers

(-∞,-2) and [2,5) will be the correct representation of the given number line.

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given a number line with arrows.

If a number is included then it is given in the middle bracket [ ] while if it is not included then it is given in the small bracket ().

Since in the given number line,

The line is coming through -∞ and at 2 not up to

So,

(-∞,-2) will be correct.

Now,

The right-hand sideline is going from 2 to 5(not included)

So,

[2,5) will be correct.

Hence "(-∞,-2) and [2,5) will be the correct representation of the given number line".

For more details about the range and domain of the function,

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Answer:

Option 3

Step-by-step explanation:

-infinity < x< -2 , 5 > x ≥ 2

Round bracket for boundary excluded, and square bracket for boundary included

(-infinity, -2) or [2,5)

A square has a triangular hole in it. What is the area of the figure?A. 100 in²
B.92.5 in²
C. 85 in²
D. 70 in²

Answers

B. 10 x 10 = 100. 5 x 3 / 2 = 7.5. 100 - 7.5 = 92.5

Answer:

92.5in

Step-by-step explanation:

  10 * 10 = 100

    5  * 3 = 15

      15/2 = 7.5

100 - 7.5 = 92.5in

Which number is farthest from 1 in the number line?A √1.2

B √1.3

C √1.4

D √1.5

Answers

The answer is D due to it

The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.

Answers

Answer:

A = 90.25 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

19pi = 2*pi*r

Divide each side by 2 pi

19pi / 2 pi = 2*pi*r/ 2pi

9.5 = r

The area is given by

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi in^2

Answer:

The area of circle is 90.25 π inches².

Step-by-step explanation:

Given:-

Circumference of circle is 19 π in.

To Find :-

Area of circle

Solution :-

Firstly, we need to find radius of circle

Using formula

Circumference of circle = 2 π r

substitute the value

19 π inches = 2 π r

Divide each side by 2 π

19 π inches / 2 π = 2 π r / 2 π

9.5 inches = r

Now, Finding the area of circle

Using formula

Area of circle = π × r²

Where,

  • r, radius of circle = 9.5 inches

Substitute the values

Area of circle = π × ( 9.5 inches)²

Evaluate the exponent

Area of circle = π × 90.25 inches ²

multiply ,we get

Area of circle = 90.25 inches²

Hence, the area of circle is 90.25 π inches².

Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7

Answers

Answer:

2835x^5.

Step-by-step explanation:

By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.

Term 5 = 7C4 * x^5 * 3^4

= 35 * x^5 * 3^4

= 2835x^5.

Can someone please answer this I’m stuck

Answers

The system has no solutions.
To do this question I started out by trying to solve the simultaneous equations using substitution.
First we can simplify 6x = 12y - 24 by dividing everything by 6, which gives us:
x = 2y - 4
Then we can substitute this into the second equation:
30y - 15(2y - 4) + 30 = 0
30y - 30y + 60 + 30 = 0
90 = 0
As this is obviously not true, we can conclude that the system has no solution.
I hope this helps! Let me know if you have any questions :)