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WARRIOR [948]
3 years ago
15

*15 points easy question*

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

\sqrt{13}

Step-by-step explanation:

We are given an isosceles triangle. We need to remember the important rule that the base angles are equal. In this question we need to find the value of 'x' using a perpendicular height of 3 and a base length of 4. In this question we can half the triangle in half to help us find the value of x. Also we need to use Pythagoras theorem to help us find 'x'. Pythagoras states that a² + b² = c² so we want to find the hypotenuse of the triangle. If we half the triangle we get 2 triangle both with a base length of 2 and a perpendicular height of 3 so,

⇒ State Pythagoras theorem

→ a² + b² = c²

⇒ Substitute in the values

→ 3² + 2² = c²

⇒ Simplify

→ 9 + 4 = c²

⇒ Simplify further

→ 13 = c²

⇒ Square root both sides to find the value of 'c'

→\sqrt{13}  =  c

The value of x is the square root of 13

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A driving exam consists of 30 ​multiple-choice questions. Each of the 30 answers is either right or wrong. Suppose the probabili
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Answer:

a. P(x>20)=0.19

b. P(x≥6)=0.72

c. P(x≤20)=0.81

d. A and C

Step-by-step explanation:

We know that:

1) the probability that a student makes fewer than 6 mistakes is 0.28

P(x

2) The probaiblity that a student makes between 6 to 20 mistakes is 0.53.

P(6\leq x\leq20)=0.53

We will express the proabilibities in function of the information we have.

a. Probability that a student makes more than 20 mistakes.

P(x>20)=1-P(x\leq20)=1-(P(x20)=1-(0.28+0.53)=1-0.81=0.19

b. Probability that the student make 6 or more mistakes

P(x\geq6)=1-P(Px

c. Probability that a student makes 20 mistakes at most

P(x\leq20)=P(x

d. A and C, because A takes a event of more than 20 mistakes and C takes the event of 20 or less mistakes. Both events cover a probability of 1.

7 0
2 years ago
3 squared 7=7 1/3 simplification
anzhelika [568]
Error! Because that does not make any sense
6 0
2 years ago
A tree struck by lightning in a storm breaks and falls over to form a triangle with the ground. The tip of the tree makes a 36°
liraira [26]

Answer: approximately 49 feets

Step-by-step explanation:

The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).

To determine the height of the tree, we will apply trigonometric ratio

Tan # = opposite/ adjacent

Where # = 36 degrees

Opposite = x feets

Adjacent = 25 feets

Tan 36 = x/25

x = 25tan36

x = 25 × 0.7265

x = 18.1625

Height of the tree from the ground to the point where it broke = x = 18.1625 meters.

The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m

To get y, we will use Pythagoras theorem

y^2 = 25^2 + 18.1625^2

y^2 = 625 + 329.88

y^2 = 954.88

y = √954.88 = 30.9 meters

Height of the tree before falling was

18.1625+30.9 = 49.0625

The height of the tree was approximately 49 feets

5 0
3 years ago
Ralph paid 660 for a camera at a 60% off sale. What was the original price of the camera?
NNADVOKAT [17]
60% divided by 6 = 10%
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