Answer: Option D.
Step-by-step explanation:
You can calculate the surface area of this right prism by adding the area of its faces.
You can observe that the faces of the right prism are: Three different rectangles and two equal triangles.
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
The formula for calculate the area of a triangle is:
Where "b" is the base and "h" is the height.
You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
Then, this is:
Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is:
X in less than or equal to 4.5. it is this because 32 is the least number of miles per gallon. 144/32=4.5.
The answer to this problem is x = 52/19 = 2.737... I hope...
Answer:
I’m pretty sure it’s Triangle ABC is congruent to Triangle DEF.
Step-by-step explanation:
If you rotate Triangle DEF to where the 90 degree angle is on the bottom right, you can the compare the two triangles. You can divide 300/25, 240/20, and 180/15. They all result in 12 meaning they are congruent and similar in that way. (I’m only 90% this is right btw)
Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio
Hence The height of tree house is 70.71 feet