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r-ruslan [8.4K]
3 years ago
14

Chapter 3 solving equations

Mathematics
1 answer:
azamat3 years ago
5 0
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A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be
Arturiano [62]

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

7 0
3 years ago
Two less than four times a number is 6
iris [78.8K]

Answer: 2 - 4x = 6

Please mark me as brainliest

5 0
3 years ago
1. What is the probability of getting a number greater than 2 on two rolls of a six-sided die both times?
prisoha [69]

Answer:

For this question, the options are written the wrong way. In each of the answers below, the correct form of the question will be added.  

The answers are:

1. e) 4/9

2. a) 1/16

3. 980 girls

4. c) 2/3

5. d) 1/13

6. a) 42 boys

7. d) 1/21

8. b) 1/6

Step-by-step explanation:

1. What is the probability of getting a number greater than 2 on two rolls of a six-sided die both times?

a) 4/3

b) 2/6

c) 4/6

d) 3/6

e) 4/9

The correct answer is e) 4/9 because the probability of getting a number greater than 2 in two rolls is 4/6 * 4/6 =16/36 = 4/9

2. A fair coin is tossed four times. What is the probability that it will be heads every time?

a) 1/16

b) 4/2

c) 2

d) 4/16

e) 1

The correct answer is a) 1/16 because the probability of each time that the coin is tossed is 1/2, and for 4 tosses is 1/2*1/2*1/2*1/2 = 1/16

3. The ratio of the number of girls to the number of boys was 2 to 5. If 2,450 students were present, how many were girls and how many were boys?

The correct answer is 980 girls, because 2450*2/5 = 980

4. A die is rolled twice. What is the probability of rolling a 5 or getting an even number?

a) 3/1

b) 1/12

c) 2/3

d) 1/3

If the die is rolled twice there are 12 possible outcomes and 8 of those outcomes can be 5 or an even number. The probability is 8/12 = 2/3

5. If one card is drawn from a standard deck, what is the probability of getting a jack?

a) 4/13

b) 1/52

c) 52

d) 1/13

e) 4

In a standard deck, there are 13 jack cards, the probability of getting a jack the first time is 1/13

6. There are 210 boys trying out for football. If 20% made the team, how many were chosen?

a) 42

b) 10

c) 4200

d) 105

e) 20

The number of boys that will be picked for the team is 210*20% = 42

7. From 42 boys who made the team, one will be chosen as kicker and one will be chosen as quarterback. What is the probability of being chosen as the kicker or the quarterback?

a) 2/21

b) 1/42

c) 2

d) 1/21

e) 42

The probability of getting picked for one of the 2 positions is 2/42 = 1/21

8. Two dice are rolled. There are 36 possible outcomes of rolling two dice. What is the probability of getting a total of seven on one roll?

a) 7

b) 1/6

c) 0

d) 7/36

e) 1/36

There are 6 ways of getting a sum of 7 tossing 2 dice, 1+6, 6+1, 2+5, 5+2, 3+4, 4+3. The probability is 6/36 = 1/6

3 0
3 years ago
Solve for 50 points<br> x^(2)=100
Eddi Din [679]

x²=100

x²=10×10

x=10

hope it helps you

7 0
3 years ago
Read 2 more answers
The point (16, 12) lies on the terminal side of an angle. find cos, tan, and sin
frez [133]
The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
<span>sin(\theta) = \frac{12}{20} = \boxed{\frac{3}{5}} \\\ cos(\theta) = \frac{16}{20} = \boxed{\frac{4}{5}} \\\ tan(\theta) = \frac{12}{16} = \boxed{\frac{3}{4}} </span>
8 0
3 years ago
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