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Sliva [168]
2 years ago
12

A maple syrup company is making a new label for its barrels of syrup. If the barrels are 5 feet tall and have a radius of 2 feet

, what is the area of the label the company needs? (Use 3.14 for .) A. 62.8 sq ft B. 314 sq ft C. 10 sq ft D. 219.8 sq ft
Mathematics
1 answer:
Elanso [62]2 years ago
7 0

Answer:

(A)62.8 square feet

Step-by-step explanation:

Height of the barrels = 5 feet

Radius of the barrels= 2 feet

\pi=3.14

The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.

Curved Surface Area of a Cylinder=2\pi rh

=2X3.14X2X5

=62.8 square feet

The company need 62.8 square feet of label.

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The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig
Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

7 0
2 years ago
Eight teams of high school students helped clean up trash in the community. Afterwards, they shared 23 pizzas equally. How many
USPshnik [31]
Answer:
each team got 2.875 pizzas

Explanation:
We are given that:
number of teams = 8 teams
number of pizzas = 23 pizzas
Now, these 23 pizzas will be divided equally among the 8 teams.
So, to get the amount that each team will get, all you have to do is divide 23 by 8 and get the result as follows:
amount that each team gets = 23/8 = 2.875 pizzas

Hope this helps :)
3 0
2 years ago
ana and christion collect stamps.together they have 500 stamps in their collection. ana has 150 fewer stamps then christian.how
mezya [45]
Lets represent Ana and Christion using the Letters A and C
a+c=500
c=a+150
now substitute c for a+150 back into the first equation
a+a+150=500
a+a=350
2a=350
Divide by two
a=175
Now that we know annie has 175 all we do is subtract that from the total (500)
C=325
Sure enough, 175 is 150 less than 325
Hope that helped, send me a message if you need clearing up :D
6 0
2 years ago
What are the solution(s) to the quadratic equation 40 – x2 = 0?
Anna35 [415]

Answer:

x=-2\sqrt{10}, \\x= 2\sqrt{10}

Step-by-step explanation:

6 0
2 years ago
Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 + StartFraction x cubed Over 2 EndFraction + 1 Which polynomia
Phoenix [80]

Answer:

- 2x^5+ 0x^4 +  \frac{x^3}{2} +0x^2+\frac{x}{4}  + 1

Step-by-step explanation:

Given

\frac{x}{4} - 2x^5 + \frac{x^3}{2} + 1

Required

The standard form of the polynomial

The general form of a polynomial is

ax^n + bx^{n-1} + cx^{n-2} +........+ k

Where k is a constant and the terms are arranged from biggest to smallest exponents

We start by rearranging the given polynomial

- 2x^5+ \frac{x^3}{2} +\frac{x}{4}  + 1

Given that the highest exponent of x is 5;

Let n = 5

Then we fix in the missing terms in terms of n

- 2x^5+ 0x^{n-1} +  \frac{x^3}{2} +0x^{n-3}+\frac{x}{4}  + 1

Substitute 5 for n

- 2x^5+ 0x^{5-1} +  \frac{x^3}{2} +0x^{5-3}+\frac{x}{4}  + 1

- 2x^5+ 0x^{4} +  \frac{x^3}{2} +0x^{2}+\frac{x}{4}  + 1

Hence, the standard form of the given polynomial is - 2x^5+ 0x^4 +  \frac{x^3}{2} +0x^2+\frac{x}{4}  + 1

3 0
2 years ago
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