Consider this right triangle.
o
13
M
N
12
Select the ratio equivalent to tan(O).

Monday was the coldest day of the week, at -6 degrees Fahrenheit.

Answer:

In this case, the net effect is that you moved the decimal point three places to the right, which is the same as multiplying 7 by 1,000.Step-by-step explanation:

the correct answer is b

Answer:

4%

Step-by-step explanation:

For simple interest, the equation is I = PRT, where I is the interest, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is time in years.

641.28 = (4008)(r)(4)

641.28 = 16,032r

r = 0.04 = 4%

Answer:

16.7

Step-by-step explanation:

The amount of water consumed is 334 quarts

The distance is 20km

Therefore the average water consumption can be calculated as follows

= 334/20

= 16.7

Hence the consumption rate is 16.7 quarts/km

Answer:

5000 pounds

Step-by-step explanation:

Hello There!

There are 2000 pounds in 1 ton

So to convert tons to pounds we multiply by 2000

2.5x2000=5000

So 2.5 tons is the equivalent if 5000 pounds

the answer would have to be 465

Answer:

Weight of a pile of sand = 90 Kg

Ratio of weight of sand in three bags =

2 : 3 : 7

Let the weights be 2x kg, 3x kg and 7x kg respectively

A.T.Q.

=> 2x + 3x + 7x = 90

=> 12x = 90

=> x = 90/12

=> x = 7.5 Kg

___________________________

Weight of sand in small bag =

=> 2 × 7.5

=> 15 Kg ANS

Weight of sand in medium bag =

=> 3 × 7.5

=> 22.5 Kg ANS

Weight of sand in large bag =

=> 7 × 7.5

=> 52.5 Kg ANS

Step-by-step explanation:

Multiply to remove the fraction, then set equal to

0 and solve.

Inequality Form:

b<48.59

Interval Notation:

(−∞, 48.59)

The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.

Given Inequality:

11.3 > b /4.3

To solve the inequality 11.3 > b / 4.3,

Multiply both sides of the inequality by 4.3 to eliminate the fraction:

11.3 * 4.3 > (b / 4.3) * 4.3

48.59 > b

The solution to the inequality is b < 48.59.

This means that any value of b that is less than 48.59 will satisfy the inequality.

To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.

Learn more about Inequality here:

https://brainly.com/question/20383699

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Answer:

cos 50⁰ = cos 2.25⁰ = 2cos²25⁰ - 1 = 2K² - 1

Answer:

The probability is roughly 0.85%.

Step-by-step explanation:

This situation requires the combination of the probabilities in question.

The probability that Steph will make a throw is 90.3%, and from this we can conclude that the amount missed, or the probability of missing will be the remaining, or [tex]100\%-90.3\%=9.7\%[/tex].

Let's combine the probabilities, remembering a percentage simply means a number over 100:

[tex]P=\frac{90.3}{100} *\frac{9.7}{100}*\frac{9.7}{100}=\frac{90.3*9.7*9.7}{100*100*100}\\\\P=\frac{8496.327}{1 000 000}=0.008496327\\\\P(\%)=0.008496327*100=0.8496327\%[/tex]

Answer:

d≈21.99

Step-by-step explanation:

Answer:

The answer is $520,000,000

Step-by-step explanation:

To find twenty percent of the total $2.6 billion, all you need to do is multiply 2.6 billion * 20%

2.6, 000,000,000 * 20% (or 1/5) is 520,000,000

Since this answer is reasonable, the answer is $520,000,000

Answer:

x = 1, y = -1

Step-by-step explanation:

Answer: 25 minutes

Step-by-step explanation:

Answer:

Use photo math, it will tell you it they are true or not

Answer: B & C & D if you look at it, it going to be the same answer.

1. B is 5+7=12 2x12=24 and 10+14=24

2. C is 8x7=56 and 5+2=7 that is 7x8=5

3. D is 8x7=56 and 6+1=7 8x7=56

So all three of that is true because it the same answer. Hope you understand

Step-by-step explanation: Hope this help :D

Answer:

A. 0.005 = 0.5% probability that the parcel went via El and was late

B. 0.027 = 2.7% probability that a randomly selected parcel arrived late.

C. 0.8148 = 81.48% probability that is was not sent via E1

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?

50% are chosen via E1, and of those, 1% were late. So

[tex]p = 0.5*0.01 = 0.005[/tex]

0.005 = 0.5% probability that the parcel went via El and was late

B. What is the probability that a randomly selected parcel arrived late?

1% of 50%(via E1)

2% of 10%(via E2)

5% of 40%(via E3).

So

[tex]p = 0.01*0.5 + 0.02*0.1 + 0.05*0.4 = 0.027[/tex]

0.027 = 2.7% probability that a randomly selected parcel arrived late.

C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?

Conditional Probability.

Event A: Late

Event B: Not sent via E1

0.027 = 2.7% probability that a randomly selected parcel arrived late, which means that [tex]P(A) = 0.027[/tex]

Late and not sent via E1:

2% of 10%(via E2)

5% of 40%(via E3).

So

[tex]P(A \cap B) = 0.02*0.1 + 0.05*0.4 = 0.022[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.022}{0.027} = 0.8148[/tex]

0.8148 = 81.48% probability that is was not sent via E1

Answer:

7 square yards

Step-by-step explanation:

3 of these blocks make a yard so

L * W * H

2 1/3 * 1 * 3 = 7/3 * 3 = 7

answer 7 square yards

Answer:

18 is 45% of 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7/12. if you find a common denominator for the two, like 24 for example, 2/8 converts to 6/24 and 1/3 converts to 8/24. 6/24+8/24=14/24, and that reduced is 7/12.

Step-by-step explanation:

Answer:

466.2 ft²

Step-by-step explanation:

10x24=240

1/2[tex]\pi[/tex]12²=226.194671

240+226.194671=466.194671

Answer:

60 miles per hour southeast.

Step-by-step explanation:

We are told that the car is moving southeasternly, so that answers the question right off the bat. The car is moving 120 miles per 2 hours. We need to know how much it moves in one hour though, so we must divide hours and miles by 2. We ger 60 miles per hour.

Velocity will be 60 mph southeast.

The distance that an item travels in a unit of time is referred to as its speed. It merely takes into account the size of the item and ignores its orientation. Speed is referred to as a scalar quantity in this way. When referring to velocity, however, it is said that velocity is the rate at which displacement changes. A vector quantity, that is.

Given distance traveled by car is 120 miles in 2 hours. Since speed is distance divided by time.

Speed = 60 mph

Also, there is a given direction which is southeast.

Therefore, the velocity of the car will be 60 mph southeast.

Learn more about velocity here:

https://brainly.com/question/18084516

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Answer:

The correct answer is B.

Step-by-step explanation:

Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:

Chandler wrote 60 + 2g ≥ 92

Jamal wrote 60 + 2g> 92

Allison wrote 60 + 2g <92

Qi wrote 60 + 2g ≤ 92

To determine whose inequality is correct, the following calculation must be performed:

92 - 60 = 32

32/2 = 16

Chandler: 60 + 2x16 ≥ 92

Thus, Chandler wrote the correct option.

Answer:

25 in²

Step-by-step explanation:

formula for area of a triangle:

1/2(bxh)

1/2(5x10)

1/2(50)

25

Answer:

D. [tex]25^{2}[/tex]

Step-by-step explanation:

Answer is in the file below

tinyurl.com/wpazsebu