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saw5 [17]
3 years ago
13

What is the surface area of the given figure?

Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

D. 2,280 cm²

Step-by-step explanation:

Surface area of triangular prism = bh + (S1 + S2 + S3)*L

Where,

b = 24 cm

h = 10 cm

S1 = 26 cm

S2 = 24 cm

S3 = 10 cm

L = 34 cm

Plug in the values

Surface area = 24*10 + (26 + 24 + 10)*34

= 240 + 2,040

= 2,280 cm²

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Notation

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.

Inverses

A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.

A function f -1 is the inverse of f if

<span><span>for every x in the domain of f, f<span> -1</span>[f(x)] = x, and</span><span>for every x in the domain of f<span> -1</span>, f[f<span> -1</span>(x)] = x</span></span>

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Graph of the Inverse Function

The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.

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The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.

6 0
3 years ago
If a triangle has three angles that add up to 180 degrees angle a is 20 angle b 50 how much is angle c?
Scorpion4ik [409]
50+20=70
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angle c= 110°
4 0
3 years ago
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D
polet [3.4K]
Given:
A has coordinates (-6,5)
C has coordinates (3.6,-0.4).
C divides AB in the ratio 3:2.

Refer to the diagram shown below.
The coordinates of B are determined by
\frac{3.6-(-6)}{x-(-6)} = \frac{3}{3+2} \\ \frac{9.6}{x+6} = \frac{3}{5} \\ 3(x+6) = 48 \\ 3x +18=48 \\ x=30/3=10
Also,
\frac{5-(-0.4)}{5-y} = \frac{3}{5} \\ 3(5-y) = 27 \\ 15-3y=27 \\ y= \frac{12}{-3} =-4

Answer:
The coordinates of B are (10,-4).

Now, we know the coordinates of line segment AB as A (-6, 5) and B (10,-4).
D (x,y) divides AB in the ratio 4:5.
Therefore
\frac{x-(-6)}{10-(-6)} = \frac{4}{4+5} \\ \frac{x+6}{16} = \frac{4}{9} \\ 9(x+6)=64 \\ 9x+54=64 \\ x=1.11
Also,
\frac{5-y}{5-(-4)} = \frac{4}{9}  \\ 5-y = 4 \\ y = 1

Answer:
The coordinates of D are (1.11, 1)

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