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3 years ago

Which list orders the number from least to greatest

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer:

Option C

-5, -2, 1, 3

Step-by-step explanation:

to get the list that orders the numbers from the least to the greatest, we need to, first of all, know the smallest and the largest numbers.

The largest number is easy to guess - it is undoubtedly 3.

However, the smallest number may be a bit tricky because we are dealing with negative numbers. When dealing with negative numbers, the numbers with greater magnitudes are actually smaller. This means that -5 is less than -3, which is less than -2, and so on.

Coming back to our question, we can now order the numbers as -5, -2, 1, 3 which is option C

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Answer:

25 degrees

Step-by-step explanation:

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3 years ago

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2 years ago

I will give lots of points please help

aalyn [17]

Answer:

a) 81π in³

b) 27 in³

c) divide the volume of the slice of cake by the volume of the whole cake

d) 10.6%

e) see explanation

Step-by-step explanation:

The cake can be modeled as a <u>cylinder </u>with:

diameter = 9 in
height = 4 in

$\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in$

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

$\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}$

$\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}$

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

$\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}$

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

$\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}$

Probability is approximately 10.6% (see above for calculation)

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

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2 years ago

Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat fo

TiliK225 [7]

Answer:

Step-by-step explanation:

I believe the answer would be 1/4 of the sub. Because they asked about the whole sub. And it says he ate 1/4 of the amount of that half of the sub for snack. So out of the whole sandwich it would be 1/4!

If it’s not the answer your looking for you can take it off...

But...

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2 years ago

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

Inessa [10]

Using relations in a right triangle, it is found that:

$\sin{x} = \frac{6}{10} = 0.6$

$\cos{y} = \frac{6}{10} = 0.6$

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

The hypotenuse in this problem is given as follows:

$h^2 = 6^2 + 8^2$

$h = \sqrt{100}$

h = 10.

The sine of x is:

$\sin{x} = \frac{6}{10} = 0.6$

The cosine of y is:

$\cos{y} = \frac{6}{10} = 0.6$

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

More can be learned about relations in a right triangle at brainly.com/question/26396675

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2 years ago

Which list orders the number from least to greatest​

Which list orders the number from least to greatest