We have the base measurement for the triangles composing the sides. We need their altitude.
Imagine a right triangle with these sides:
(1) from the apex of the pyramid to the point on the base directly underneath it (471 ft);
(2) from the middle of base edge to the point underneath the apex (half of 708 ft = 354 ft);
(3) the hypotenuse, the altitude of a triangular side.
Using the Pythagorean Theorem, we find the hypotenuse to be
√(471^2 + 354^2) = about 589.2 feet
Now we add up the four triangles' areas. Each is base * altitude / 2, so:
4 x 708 x 589.2 / 2
= 2 x 708 x 589.2
= 834,307.2 square feet, the lateral area.
A non-arrowed line or double arrowed line segment can be named either ways of the points.
Therefore, another name for PM is angle MP.
Which of the following represents a set of integers greater than zero?. . {1, 2, 3, 4, 5}. . {1, 2, 3, …, 98, 99, 100}. . {all p
fomenos
They are all integers greater than zero but the answer that makes sense the most is all positive numbers.
I hope this helps!
Answer:
Step-by-step explanation:
There are a few algebraic, geometric, and trig relations you are expected to remember. These come into play in this set of questions.
- vertex form for equation of a parabola: y = a(x -h)² +k, has vertex at (h, k)
- Sine Law relates triangle sides and their opposite angles: a/sin(A) = b/sin(B)
- Cosine Law relates triangle sides and the angle between two of them: c² = a² +b² -2ab·cos(C)
- SOH CAH TOA reminds you of trig relations in a right triangle
- relationships of corresponding sides and angles in congruent and similar triangles: angles are congruent; sides are congruent or proportional.
When solving any problem, the first step is to understand what is being asked. The second step is to identify the relevant information and relationships that can help you answer.
<h3>1)</h3>
You are asked for the equation of a parabola with a given vertex. The vertex form equation will be useful. We can assume a scale factor ('a') of 1.
For vertex (h, k) = (1, -4) and a=1, the vertex form equation is ...
y = a(x -h)² +k
y = 1(x -1)² +(-4)
y = (x -1)² -4
<h3>2)</h3>
You are given 3 sides and want to find an angle. The useful relation in this case is the Cosine Law. (If you wanted to use the Sine Law, you would already need to know an angle.)
<h3>3) </h3>
The mnemonic SOA CAH TOA reminds you that the cosine relation is ...
Cos = Adjacent/Hypotenuse
The side adjacent to angle C is marked 4; the hypotenuse is marked 5. The desired ratio is ...
cos(C) = 4/5
<h3>4)</h3>
The measure x is also the measure of side AB. The similarity statement lists those letters as the first two. It also lists the letters DE as the first two. The other given side in ΔABC is BC, corresponding to side EF in the smaller triangle. Corresponding sides are proportional, so we have ...
AB/DE = BC/EF
x/6 = 10/4
We can find the value of x by multiplying this equation by 6:
x = 6(10/4) = 60/4
x = 15
Please note that BC is the shortest side in ΔABC. This means x > 10. There is only one such answer choice. (No math necessary.)
If I'm correct, the mode is the number in a set of numbers that appear the most..but I don't think there <em>is </em>a mode for that set, because none of them repeat.
