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2 years ago

What is the volume of this loaf of bread, assuming that the top part of the end of the loaf is a semi-circle? Show all work.

Mathematics

1 answer:

IRINA_888 [86]2 years ago

4 0

Answer:

Step-by-step explanation:

We would section the bread into a cuboid at the bottom and a semi cylinder at the top.

Considering the bottom, the formula for determining the volume of a cuboid is expressed as

Volume = length × width × height

Therefore,

Volume = 20 × 11 × 6 = 1320 cm³

Considering the semi cylinder,

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder

h represents the height of the cylinder.

π = 3.14

Looking at the diagram,

Height = 20 cm

Diameter = 11 cm

Radius = diameter/2 = 11/2 = 5.5 cm

Since it is a semi cylinder, then

Volume = 1/2 × 3.14 × 5.5² × 20 = 949.85 cm³

Therefore, volume of this loaf of bread is

1320 + 949.85 = 2269.85 cm³

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Which sequence represents an arithmetic sequence?

MArishka [77]

Answer:

Step-by-step explanation:

We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.

−5, −7, −10, −14, −19, …

Here difference between -5 and -7 is -2

But difference between -10 and -7 is -3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

1.5, −1.5, 1.5, −1.5, …

Here difference between 1.5 and -1.5 is 3

But difference between -1.5 and 1.5 is 3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

4.1, 5.1, 6.2, 7.2, …

Here difference between 4.1 and 5.1 is 1

But difference between 6.2 and 5.1 is 1.1

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

−1.5, −1, −0.5, 0, …

Here difference between -1.5 and -1 is 0.5

But difference between -1 and -0.5 is 0.5

⇒ Difference is constant.

Therefore, this sequence represents an arithmetic sequence.

plz mark brainliest

7 0

2 years ago

Find the measure of angle x. Round your answer to the nearest hundredth. (Numeral answers only)

gregori [183]

Sin (Angle) = Opposite / Hypotenuse

Sin (X) = 8/17

X = Arcsin(8/17)

X = 28.07 degrees.

6 0

3 years ago

Read 2 more answers

If c is the number of cats, which variable expression represents the phrase

Inessa05 [86]

the answer would be A.) C+15

3 0

2 years ago

0.7x+6=0.3(4x+6)−2x

Gelneren [198K]

Answer: $x=-2.8$

Step-by-step explanation:

Given the following equation:

$0.7x+6=0.3(4x+6)-2x$

You can follow these steps in order to solve for "x" and find its value:

1. Apply Distributive property on the right side of the equation:

$0.7x+6=0.3(4x+6)-2x\\\\0.7x+6=1.2x+1.8-2x$

2. Subract $0.7x$ from both sides and add the like terms:

$0.7x+6-(0.7x)=1.2x+1.8-2x-(0.7x)\\\\6=-1.5x+1.8$

3. Subtract 1.8 from both sides:

$6-(1.8)=-1.5x+1.8-(1.8)\\\\4.2=-1.5x$

4. Finally, divide both side of the equation by -1.5:

$\frac{4.2}{-1.5}=\frac{-1.5x}{-1.5}\\\\x=-2.8$

8 0

3 years ago

Read 2 more answers

Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *

IrinaK [193]

$\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}$

$\hrulefill$

We'll start with the expression for the quotient of $5$ and $n$ , which means we'll use division:

$\frac{5}{n}$

Now we find $7$ less than that, meaning we'll use subtraction:

$\frac{5}{n}\bold{-7}$

5 0

2 years ago