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2 years ago

Find the length of AC. (Need help asap)

Mathematics

1 answer:

Ivan2 years ago

3 0

AB is a diameter so radius of circle is 24/2 = 12

Now AC = 2π *12 * (150/360) ≈ 31.42

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If the original square had a side length of

irina [24]

Answer:

Part a) The new rectangle labeled in the attached figure N 2

Part b) The diagram of the new rectangle with their areas in the attached figure N 3, and the trinomial is $x^{2} +11x+28$

Part c) The area of the second rectangle is 54 in^2

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure N 1

Part a) If the original square is shown below with side lengths marked with x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above

we know that

The dimensions of the new rectangle will be

$Length=(x+4)\ in$

$width=(x+7)\ in$

The diagram of the new rectangle in the attached figure N 2

Part b) Label each portion of the second diagram with their areas in terms of x (when applicable) State the product of (x+4) and (x+7) as a trinomial

The diagram of the new rectangle with their areas in the attached figure N 3

we have that

To find out the area of each portion, multiply its length by its width

$A1=(x)(x)=x^{2}\ in^2$

$A2=(4)(x)=4x\ in^2$

$A3=(x)(7)=7x\ in^2$

$A4=(4)(7)=28\ in^2$

The total area of the second rectangle is the sum of the four areas

$A=A1+A2+A3+A4$

State the product of (x+4) and (x+7) as a trinomial

$(x+4)(x+7)=x^{2}+7x+4x+28=x^{2} +11x+28$

Part c) If the original square had a side length of x = 2 inches, then what is the area of the second rectangle?

we know that

The area of the second rectangle is equal to

$A=A1+A2+A3+A4$

For x=2 in

substitute the value of x in the area of each portion

$A1=(2)(2)=4\ in^2$

$A2=(4)(2)=8\ in^2$

$A3=(2)(7)=14\ in^2$

$A4=(4)(7)=28\ in^2$

$A=4+8+14+28$

$A=54\ in^2$

Part d) Verify that the trinomial you found in Part b) has the same value as Part c) for x=2 in

We have that

The trinomial is

$A(x)=x^{2} +11x+28$

For x=2 in

substitute and solve for A(x)

$A(2)=2^{2} +11(2)+28$

$A(2)=4 +22+28$

$A(2)=54\ in^2$ ----> verified

therefore

The trinomial represent the total area of the second rectangle

7 0

2 years ago

What is the effect on the graph of the function f(x) = 5xl when f(x) is changed to f(x – 5)?

Mekhanik [1.2K]

A change to the inside of the function notation is always a left/right or horizontal change to the graph.

Answer: A

Subtracting 5 actually shifts the graph to the right by 5 units. It's counter-intuitive and there are many ways to explain why it's the opposite of what you think it'd do, but it is a shift to the right by 5 units.

A change outside the f(x) notation is an up/down or vertical change to the graph.

6 0

2 years ago

Need some help please...

Nesterboy [21]

Answer:

C: Starting at 1103 you gain 91 feet each additional hour of climing.

Step-by-step explanation:

4 0

2 years ago

Simplify the expression. 6p5

Nastasia [14]

If you are considering P of the permutation and combination. Then simply pit the figure 6P5 in calculator and your answer will be 720. Or if not calculator then the formula is P(n,r)= n(factorial)/ (n-r)factorial.

3 0

2 years ago

Use the diagram . Select a pair of supplementary angles

zepelin [54]

Answer:

B) angle fga + angle agc

Step-by-step explanation:

supplementary angles when added together equal to 180 degrees

4 0

1 year ago