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Zarrin [17]
3 years ago
14

One fifth of the difference of a number and 1 in an expression

Mathematics
1 answer:
kogti [31]3 years ago
8 0
1/5(1-x)

Distributed

1/5-1/5x
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The surface are I cannot find
Ilia_Sergeevich [38]

check the picture below.


so the triangular prism is really just 3 rectangles and 2 right-triangles,

now, we know the base of one of the triangles is 2.6, what's its height?

since it's a right-triangle, we can simply use the pythagorean theorem to get "h".


\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad
\begin{cases}
c=\stackrel{hypotenuse}{5.2}\\
a=\stackrel{adjacent}{2.6}\\
b=\stackrel{opposite}{h}\\
\end{cases}
\\\\\\
\sqrt{5.2^2-2.6^2}=h\implies 4.5\approx h


so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.


\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)}
\\\\\\
11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft

5 0
2 years ago
Read 2 more answers
Find the measure of the arc indicated.
ella [17]
A.) 155
123 + 47 + 35 = 205
Subtract 205 with 360 (360 is the measure of a circle) and you will be left with 155°.
7 0
2 years ago
Using the scale 1/2 inch = 100 miles, figure out the number
Wittaler [7]

Answer:

  50 miles

Step-by-step explanation:

Multiply the given scale numbers by 1/2 to find your answer:

  1/2 in = 100 mi

  (1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2

  1/4 in = 50 mi

5 0
2 years ago
If a quadratic equation with real coefficients has a discriminant of 3 then the two roots must be
lukranit [14]

In a quadratic equation

q(x) = ax^2 + bx + c 

The discriminant is = b^2 - 4ac

We have that discriminant = 3

If b^2 - 4ac > 0, then the roots are real.

If b^2 - 4ac < 0 then the roots are imaginary

<span>In this problem b^2 - 4ac > 0   3 > 0 </span>

then the two roots must be real

6 0
3 years ago
Write the decimal for 1/2
harkovskaia [24]
1/2 as a decimal is 0.5
8 0
3 years ago
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