A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 feet.The remainder of the landis farmed.How many acres of land are farmed?Round to the nearest tenth.Explain your answer.(Hint: 1 acre = 43,560 square feet)

Answer:

Height = 3 inches and Base length = 7 inches

Step-by-step explanation:

1. Information provided to answer the question correctly:

Base of the triangle = x+ 4

Height of the triangle = x

Area of the triangle = 10.5 inches²

2. Find the base length and height

Let's recall the formula of the area of a triangle:

Area = (Base * Height)/2

Replacing with the values we know:

10.5 = x (x + 4)/2

21 = x²+ 4x

x²+ 4x - 21 = 0

(x + 7) (x - 3) = 0

(x₁ + 7) = 0 ⇒ x₁ = -7

(x₂ - 3) = 0 ⇒ x₂ = 3

We take  x₂ as the answer because x₁ = -7 is not a valid height.

Height = 3 inches and Base length = 7 inches

Answer:

B) Probability of number less than 8 OR a divisor of 15 = 1

Step-by-step explanation:

Given that the spinner number 1-10, therefore sample space = 10.

Each number is equally likely to be spun = 1/10 for each number.

A) probability of having an odd number OR a power of three?

Probability of odd number = number of odd number from 1-10 / sample space

Number of odd number = 5 {1,3,5,7,9}

Probability of odd number = 5/10 = 1/2

Probability of power of three = number of power of three from 1-10 / sample space

power of three from 1-10 = 1 (1x1x1) and 8 (2x2x2)

number of power of three from 1-10 = 2 {1,8}

Probability of power of three = 2/10

probability of having an odd number OR a power of three = probability of having an odd number + a power of three

probability of having an odd number OR a power of three = 5/10 + 2/10 = 7/10

B) probability of number less than 8 OR a divisor of 15

Number less than 8 = 7 {1,2,3,4,5,6,7}

Probability of number less than 8 = 7/10

Divisor of 15 from 1-10 = 3 {1,3,5}

Probability of divisor of 15 = 3/10

Probability of number less than 8 OR a divisor of 15 = probability of number less than 8 + a divisor of 15

Probability of number less than 8 OR a divisor of 15 = 7/10 + 3/10 = 10/10 = 1

The Probability of having an odd number OR a power of three is 7/10

The probability of a number less than 8 OR a divisor of 15 is 1.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorableoutcomes / total number of outcomes

It is given that the spinner number 1-10, So sample space = 10.

Each number is equally likely to be spun

A) probability of having an odd number OR a power of three

Probability of odd number = number of odd numbers / sample space

Number of odd number = {1,3,5,7,9}

Probability of odd number = 5/10

                                           = 1/2

Probability of power of three = number of power of three / sample space

power of three from 1-10 = 1 and 8

number of power of three = 2

Probability of power of three = 2/10

Probability of having an odd number OR a power of three = probability of having an odd number + a power of three

= 5/10 + 2/10

= 7/10

Therefore, the probability of having an odd number OR a power of three is 7/10

B) Probability of number less than 8 OR a divisor of 15

Number less than 8 = {1,2,3,4,5,6,7}

Probability of number less than 8 = 7/10

Divisor of 15 from 1-10 = {1,3,5}

Probability of divisor of 15 = 3/10

Probability of number less than 8 OR a divisor of 15 = probability of number less than 8 + a divisor of 15

= 7/10 + 3/10

= 10/10

= 1

Therefore, the Probability of a number less than 8 OR a divisor of 15 is 1.

Learn more about probability :

brainly.com/question/795909

Answer: 1st is reflexive

Step-by-step explanation: