Answer:
223.5 in²
Step-by-step explanation:
The surface area of a triangular pyramid comprises:
- Area of the <u>base triangle</u>.
- Area of 3 <u>congruent side triangles</u>.
<u />
<u>Area of a triangle</u>
where:
From inspection of the diagram:
- Base triangle: b = 10 in, h = 8.7 in
- Side triangles: b = 20 in, h = 12 in
Therefore, the surface area of the given triangular pyramid is 223.5 in².
9514 1404 393
Answer:
A. 5.3
B. √29 ≈ 5.39
Step-by-step explanation:
<h3>A.</h3>
A terminating decimal is a rational number. A terminating decimal between 5.2 and 5.5 is 5.3.
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<h3>B.</h3>
The squares of 5.2 and 5.5 are 27.04 and 30.25, respectively. Any value between these numbers that is not a perfect square will have an irrational square root. For example, √29 ≈ 5.39 is irrational.
Answer:
460 m
Step-by-step explanation:
Boundary = perimeter
Perimeter = 2(length + width)
= 2(150 + 80)
= 2(230)
= 460 m
Answer:
g(x) =
Step-by-step explanation:
Parent function given in the graph attached is,
f(x) =
Function 'f' passes through a point (1, 1).
If the parent function is stretched vertically by 'k' unit,
Transformed function will be,
g(x) = k.f(x)
Therefore, the image of the parent function will be,
g(x) =
Since, the given function passes through (1, 2)
g(1) = = 2
⇒ k = 2
Therefore, image of the function 'f' will be,
g(x) =
We will have the following:
First, we write the both equations: the line and the circle:
This can be seeing as follows:
Now, we determine the point where the line intersects the circle in the first quadrant, so first, we determine the positive part of the circle, that is:
Now, we equal this expression and the line:
From this, we take the positive value, since it the only one that makes sense under the parameters required, now we find the value of y:
So, the solution is at the point:
This can be seeing as follows: