Answer:
Option B: A triangle with side lengths 4 cm, 5 cm, and 15 cm
Step-by-step explanation:
Since we are dealing here majorly with sides, one condition is that each side has to be shorter than the sum of the other two sides and longer than their difference meaning that if we have a, b and c
The a value has to be shorter than the sum of b and c - a < b+c and the a value also has to be longer than their difference - a > b-c
In this example,we have side lengths 4 cm, 5 cm, and 15 cm. Taking a, b and c as 4 cm, 5 cm, and 15 cm respectively.
The sum of 5 and 4 is 9 and the third side 15 is greater than 9 when it is supposed to be less to construct a triangle.
Answer:
Area = 240
Step-by-step explanation:
The roof is 4 Isosceles triangles as two sides are the same and the base is different. The equation for area of an isosceles triangle is area = (1/2) · b · h.
Starting the equation, we know the height = 10 based on the graphic, but we need solve for the base using the information provided in the problem 25.
If the square gazebo is 48 ft around, then perimeter = 48. To find one side of the "SQUARE" gazebo, divide the perimeter by 4 to find one side having a length/base of 12.
We can assume that the base of the gazebo is the same length as the base of the roof, so the base is 12 as well.
Finishing the formula we have:
Area of 1 side of gazebo roof= (1/2) * b * h = (1/2) * 12 * 10 = 60
There are 4 sides to the roof, so multiply the Area of the one side by 4 to find the final result.
Area of full Gazebo roof = 60 * 4 = 240
So to get the answer you multiply 48 by 1.15 and you get 55.2
Chung's go-kart can travel 55.2 miles on 1.15 gallons of gas.
Answer: 1, 4, -7
Step-by-step explanation:
Coefficients are numbers that are in front of a variable. Let's first determine the terms that have variables in them.
z, 4z², -7a
Since these all have variables in the terms, we know the coefficients are 1, 4, -7.
The solution to the inequality expression is x ≥ 30
<h3>How to solve the
inequality expression?</h3>
The inequality expression is given as:
8x - 3(2x - 4) ≤ 3(x - 6)
Open the brackets in the above inequality expression
8x - 6x + 12 ≤ 3x - 18
Collect the like terms in the above inequality expression
8x - 6x - 3x ≤ -12 - 18
Evaluate the like terms in the above inequality expression
-x ≤ -30
Divide both sides of the above inequality expression by -1
x ≥ 30
Hence, the solution to the inequality expression is x ≥ 30
Read more about inequality expression at
brainly.com/question/24372553
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