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diamong [38]
3 years ago
15

A large Pizza has a diameter of 18 inches. If each large pizza is cut into 10 equal slices, what is the approximate area of 3 sl

ices of pizza?
Mathematics
1 answer:
Brums [2.3K]3 years ago
3 0
--------------------------------------
Find Radius
--------------------------------------
Radius = Diameter ÷ 2
Radius = 18 ÷ 2
Radius = 9 inches

--------------------------------------
Area of the Pizza
--------------------------------------
Area = πr²
Area = π x (9)²
Area = 81π
Area = 254.47 in² (nearest hundredth)

--------------------------------------
find area of 1 slice of pizza
--------------------------------------
10 slices = 254.47 in²
1 slice = 254.47 ÷ 10
1 slice = 25.44 in² 

--------------------------------------
Find area of 3 slices of pizza
--------------------------------------
1 slice = 25.44 in²
3 slices = 25.44 x 3 
3 slices = 766.32 in²

--------------------------------------
Answer: 766.32 in²
--------------------------------------
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Answer: B) increasing for x < -4/3 and x > 4/3

                   decreasing for -4/3 < x < 4/3

<u>Step-by-step explanation:</u>

Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.

Refer to the image below. Red is increasing. Blue is decreasing.

The vertices are at: x = -4/3 and x = 4/3

6 0
3 years ago
The circumference of a circle is 15 pie centimeters. What is the area of the circle in terms of pie
Jobisdone [24]

Answer:

C

Step-by-step explanation:

The circumference (C) of a circle = 2πr ← r is the radius

Given C = 15π the equating gives

2πr = 15π ( divide both sides by 2π )

r = \frac{15}{2} = 7.5 cm

The area (A) of a circle is calculated using the formula

A = πr² = π × 7.5² = 56.25π cm² → C

5 0
3 years ago
Read 2 more answers
The statement​ the sum of x and 7​% of x is at least 30​"
tigry1 [53]

Answer:

  x + 0.07x ≥ 30

Step-by-step explanation:

A sum is terms separated by a plus sign.

"Is at least" means "is greater than or equal to."

7% as a decimal fraction is 0.07.

"Of" means "times."

__

In consideration of the above, you have ...

  x  plus  7% of x  is at least  30

  x  +  0.07x  ≥  30 . . . . . using math symbols

5 0
3 years ago
A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the
babunello [35]

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the  first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.

3 0
3 years ago
3x+9<br> -------- how do I solve this?<br> 4x+12
Reptile [31]
Put common terms in evidence and simplify:

\boxed{\frac{3x+9}{4x+12}=\frac{3(x+3)}{4(x+3)}=\frac{3}{4}}
5 0
3 years ago
Read 2 more answers
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