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3 years ago

The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?

Mathematics

2 answers:

ki77a [65]3 years ago

7 0

Answer:

A. 58, 13,-35,-51

Step-by-step explanation:

Start with the greatest positive number, 58. Then use the next greatest positive number, 13. When it comes to negative numbers, the number with the smaller absolute value is greater.

|-35| = 35

|-53| = 53

-35 has a smaller absolute value than -53, so -35 is greater than -53.

Answer: A. 58, 13,-35,-51

Stella [2.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

I am just smart U-U

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A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centim

Marina86 [1]

Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or $4\ \text{inch}^3$ .

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or $\text{cm}^3$ .

$4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3$

So, the volume of the ball is 65.548 cm³.

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4 years ago

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natulia [17]

Answer:

0.5j+19

Step-by-step explanation:

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3 years ago

Find the measure of the missing angles.

igomit [66]

Answer:

f = 26

d=112

e=42

Step-by-step explanation:

as far as what i can see, the first given angle is 112 and the second angle is 42.

These two angles are the angles on one straightline, therefore the missing angle will be 180 - 112 - 42 = 26 (Supplementary angle). This angle is not required and it is the missing angle on the left hand side. However, this angle should be equal to that of f (Opposite angle).

By the same way, d and e are the two opposite angles for 112 and 42, respectively.

5 0

2 years ago

Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1

Rudik [331]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = $N_T$

$N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960$

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

$P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}$

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are $({}^{10}C_1)$ .

For each card we can draw from any of the 4 sets. It can be described mathematically as: $({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]$