Answer:
Perimeter: 18 ft
Height: 7 ft
Base Area: 12
Surface Area: (7)*(8) + 2(47) = 150
Step-by-step explanation:
To find the perimeter add all the edges together.
5 + 5 + 8 = 18
To find the height look at the diagram. 7ft shows the height of the rectangle and thus is the height for the rest of the shape.
Base Area:
Multiply the length (8ft) of the base by the height of the base (3ft)
8 * 3 = 24
Then divide by 2 to get the total area of the triangle
24 / 2 = 12.
Surface Area:
To find the surface area you to need to find the specifics of each side.
The base area we already solved for which is 12. We'll get back to this in a minute. The other double sides are of 5 * 7. That equals 35. Add together 12 + 35 to get 47. That is what will go in the 2(___) box because both of those sides have 2. It is the same number when done this way versus just adding them up.
47 * 2 = 94
12 + 12 + 35 + 35 = 94
Then for the (___)(___) that would be 7ft * 8ft because it is the only side left and does not have a double so it must be separate.
7 * 8 = 56
56+94 = 150
The true statement about the quadratic function is that it has two distinct real zeros
<h3>How to interpret the quadratic function?</h3>
The given parameters are:
- x-intercepts = 2 i.e. intercepts the x-axis in two places
- y-intercept = 1 i.e. intercepts the y-axis in one place
The first highlight above means that, the function can be represented as:
y = a(x - x1)(x -x2)
Where x1 and x2 are the x-intercepts
This also means that the quadratic function has two distinct real zeros
Read more about quadratic functions at:
brainly.com/question/7323175
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Answer:
option A
Step-by-step explanation:
Length of segment of the hypotenuse adjacent to the shorter leg is 5 inches and the length of the altitude is 3 inches.
Step-by-step explanation:
Step 1: Let the triangle be ΔABC with right angle at B. The altitude drawn from B intersects the hypotenuse AC at D. So 2 new right angled triangles are formed, ΔADB and ΔCDB.
Step 2: According to a theorem in similarity of triangles, when an altitude is drawn from any angle to the hypotenuse of a right triangle, the 2 newly formed triangles are similar to each other as well as to the bigger right triangle. So ΔABC ~ ΔADB ~ ΔCDB.
Step 3: Identify the corresponding sides and form an equation based on proportion. Let the length of the altitude be x. Considering ΔABC and ΔADB, AB/DB = AC/AB
⇒ 6/x = 12/6
⇒ 6/x = 2
⇒ x = 3 inches
Step 4: To find length of the hypotenuse adjacent to the shorter leg (side AB of 6 inches), consider ΔADB.
⇒ 
⇒
⇒
⇒
⇒
⇒AD = 5 inches
The question is incomplete.Here is the complete question.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?
Answer: It must be 392 inches or approximately 33 feet.
Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of <u>proportionality</u>, i.e., if divided, the result is a constant.
For the first load:
width = 6in
height = 4in
length = 13ft or 156in
weight = 800lbs
Then, constant will be:


k = 1300
For the similar beam:

L = 49.8
L = 392in or 32.8ft
A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.