Please help and explain. i’m confused.

The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh

kicyunya [14]

Answer:

The center is $\frac{1}{25}$ of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{5}{2}=2.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times{2.5}^2$

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{25}{2}=12.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times12.5^2$

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = $\frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}$

Hence the center is $\frac{1}{25}$ of the whole target.

6 0

3 years ago

(1.1/1.2: Interpolating polynomials) Say we want to find a polynomialf(x) ofdegree 3,f(x) =a0+a1x+a2x2+a3x3,satisfying some inte

Hunter-Best [27]

(a) If

f(x) = a₀ + a₁ x + a₂ x ² + a₃ x ³

then from the given conditions we get the system of equations,

f (-1) = a₀ - a₁ + a₂ - a₃ = -1

f (1) = a₀ + a₁ + a₂ + a₃ = 2

f (2) = a₀ + 2a₁ + 4a₂ + 8a₃ = 1

f (3) = a₀ + 3a₁ + 9a₂ + 27x ³ = 5

(b) Similarly, if

f(x) = a₀ + a₁ x + a₂ x ² + a₃ x ³

then

f'(x) = a₁ + 2a₂ x + 3a₃ x ²

so that the given conditions yield the system,

f (1) = a₀ + a₁ + a₂ + a₃ = 0

f' (1) = a₁ + 2a₂ + 3a₃ = 2

f (2) = a₀ + 2a₁ + 4a₂ + 27a₃ = 3

f' (2) = a₁ + 4a₂ + 12a₃ = -1

7 0

2 years ago

Help PLEASE!

laila [671]

Answer:

the first answer is correct Edge 2020

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Need help on number 25 and 26 can you please explain how you got the answer thanks!:)

Westkost [7]

In both problems, the sum of side lengths is the perimeter. Opposite sides of a parallelogram (or rectangle) are equal in length, so you can find the perimeter by doubling the sum of adjacent sides.

25. 2(x +(x +15)) = (x +45) +(x +40) +(x +25)
.. 4x +30 = 3x +110 . . . . . . . . . . . . . . . . . . . . . . simplify
.. x = 80 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . subtract 3x+30
.. 4x +30 = 4*80 +30 = 240
The perimeter of each is 240 units.

26. 2(x +(x +2)) = (x) +(x +6) +(x +4)
.. 4x +4 = 3x +10 . . . . . . . . . . . . . . . . . . . . . . simplify
.. x = 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . subtract 3x+4
.. 4x +4 = 4*6 +4 = 28
The perimeter of each is 28 units.

6 0

3 years ago

Holly and her 2 brst friends go to dinner. Their total bill is 31.84. They use a coupon for 15% off the total. If they split the

Tresset [83]

ANSWER:

$9.0.

Each person will owe $9.0.

STEP-BY-STEP SOLUTION:

Total amount of people:
= 3

Total bill:
= $31.84

Discount off total bill:
= 15%

Total bill after discount:
= 31.84 × ( 100% - 15% )
= 31.84 × 85%
= 27.064

Total bill after discount split evenly / Amount each person will owe:
= 27.064 ÷ 3
= 9.0213 ( 3 repeater )
= $9.0 ( rounded to the nearest tenth )

6 0

3 years ago