Answer:
Area of the triangle is 10 square units
Step-by-step explanation:
Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:
Area = 4 x 5 / 2 = 10 square units.
Answer: 1.2703
Step-by-step explanation:
Given : Sample size : n= 17, which is a small sample (n<30), so we use t-test.
Significance level : 
Then , Critical value : 
Standard deviation: 
The formula to find the margin of error : -
Hence, the error bound (EBM) of the confidence interval with a 90% confidence level.=1.2703
Answer:
502 Square Meters
Step-by-step explanation:
Surface Area is the sum of the areas of all the surfaces. There are 5 surfaces in total, so we find each surface area and find total Surface Area.
Shown Below:
Bottom Surface is a rectangle, so area is length * width = 10 * 16 = 160
Back Surface is a rectangle, so area is 6 * 16 = 96
Top (front) surface is a rectangle so area is 11.6 * 16 = 185.6
Left and right sides are 2 triangles, so are would be 0.5(base * height) for each. So,
Left triangle = 0.5 * 10 * 6 = 30
Right triangle = 30
Sum of all the surfaces = 160 + 96 + 185.6 + 30 + 30 = 501.6
Rounded to nearest whole number, that is 502
The surface area = 502 m^2
Answer:
x +3 = x^2 +2x -4
Step-by-step explanation:
Straight substitution of the top expression for y gives you ...
x +3 = x^2 +2x -4
__
This lets you rewrite the equation to standard form as ...
x^2 +x -7 = 0
and find the solutions to be ...
x = (-1±√29)/2
Corresponding y-values will be 3 more than this:
y = (5±√29)/2
Ratio of shadow to object's size = 2/7
Then, size of tree would be: 7/2 * 28 = 7 * 14 = 98 feet
So, your final answer is 98 feet
Hope this helps!
