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alexandr402 [8]

3 years ago

5

A cold front hit Hartford, Connecticut. The temperature dropped by 7° F each hour from 5:00 a.m. to 9:00 a.m. What was the begin

ning temperature at 5:00 a.m. if the temperature at 9:00 a.m. was -10° F?

1 answer:

nikitadnepr [17]3 years ago

7 0

The beginning temperature would be 18°.

-10 + 7 + 7 + 7 + 7 = 18

Hope this helps you! Have a happy thanksgiving, here's a turkey!

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A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

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3 years ago

A number that is a factor of two or more numbers is a_________________.

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Common factor because its used more than once so its common

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4 years ago

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sashaice [31]

Sum of two algebraic expressions is addition of two expressions. The sum of the given expressions is given as: Option B: $2.8x + 8.7$

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $5x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $5x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

<h3>What are coefficients?</h3>

Constants who are in multiplication with variables are called coefficients of those variables.

For example, in $10x^2$ we have 10 as coefficient of $x^2$

<h3>When can we add or subtract terms of polynomial by their coefficient's addition or subtraction?</h3>

Suppose we have $5x^2 + 6y$

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

If we have, suppose,

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For the given condition, the needed sum is evaluated as:

$(-2.1x + 3.7) + (5 + 4.9x) = (-2.1 + 4.9)x + 5 + 3.7 = 2.8x + 8.7$

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The sum of the given expressions is given as: Option B: $2.8x + 8.7$

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Afina-wow [57]

According to the passage the correct option is D.

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<h3>What is Passage?</h3>

a paragraph, verse, or other unit of writing; a segment of a written work: a passage of Scripture. a sentence or other section of a musical composition. High Arts. a portion, segment, or element of a piece of art that stands out for the way it was executed, such as delicate brushstrokes.

Passage describes the act of passing or going from one area to the next. The term "passage" is frequently used to refer especially to a voyage by ship, as in "The trip to America was long and rough." A passage is another name for a portion of a piece of writing or music.

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Kitty [74]

Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction $\frac{6}{10}$ . Notice however that $\frac{6}{10}$ is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.

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