Distance = sqrt (13-18)^2 + (20-8)^2 )
= sqrt ( 5^2 + 12^2)
= sqrt 169 = 13
Answer: Surface area = 29.32 inches²
Step-by-step explanation:
The surface area is the sum of areas of the faces. There are two triangular faces and three rectangular faces.
The formula for determining the area of a triangle is expressed as
Area = 1/2 × base × height
Base = 2 inches
Height = 2 inches
Area = 1/2 × 2 × 2 = 2 inches²
Area of the 2 triangular faces
= 2 × 2 = 4 inches²
The area of the two equal rectangles is
Area = 2 × 2 × 4 = 16 inches²
To determine the width, w of the rectangular base, we would apply Pythagoras theorem.
Hypotenuse ² = opposite side² + adjacent side²
w² = 2² + 2²
w² = 4 + 4 = 8
w = √8 = 2.83
Area of the rectangular base is
2.83 × 4 = 11.32 inches²
Surface area = 4 + 16 + 11.32 = 31.32 inches²
Answer:
26. H
Step-by-step explanation:
26. An acute angle just has to be less than 90 degrees. Therefore, H is the correct choice.
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Answer:
To find the perimeter of the triangle, you need to add up the three sides of the triangle
/\
1 /__\ 5
9
1+5+9
Answer:
<em>y=-x+18</em>
Step-by-step explanation:
<u>Equation of a line</u>
A line can be completely defined by two points. Suppose we know the line passes through points A(x1,y1) and B(x2,y2).
The equation for a line can be written as:
Where m is the slope and b is the y-intercept. Both values can be determined by using the coordinates of the given points.
First, determine the slope with the equation:
The points are: A(15,3) B(3,15)
The equation of the line can be written as:
Now, use any point to determine the value of b. Substitute (15,3):
Solve for b:
b=18
The equation of the line is
y=-x+18
The slope is -1 and the y-intercept is 18.
