Answer:
86+18
Step-by-step explanation:
Use the properties of 45-45-90 triangles to get a side length of 18 for the 2 legs of the isosceles triangle. Then add 43+18, which is the shorter length of the rectangle, +25, which is the longer edge, +18. The answer is now 86+18.
The surface area of a cone is equal to the base plus the lateral area.
The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.
To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433
The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)
Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
Given the similar triangles, it can always be noted that similarity can be derived from the proportionality of the leg lengths, however it is not true the the ratio of the proportion of the leg lengths is equal to the slope of the triangles. Thus the false statement is:
A] <span>The slope of the hypotenuse is represented by the ratio of the leg lengths.</span>
<span>#1) 3√5
#2) 6x</span><span>√5
#3) 7w^3y^2</span>√10y
Answer:
2. Alex sent the questionnaire only to those who live near her.
Step-by-step explanation:
Given scenario is :
Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood.
She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond.
We can see that Alex sent the questionnaire to only her neighbors or people who live near her, so this will be the reason the sample will be biased.