HELP HELP HELP I NEED HELPPP can anyone answer this the question is on the picture it would help a lot please!!!

Mathematics

1 answer:

forsale [732]3 years ago

4 0

It’s -1/2 (negative 1 over 2)

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A student says that if 5x2 = 20, then x must be

lutik1710 [3]

Answer:

I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:

5(-2)(2) = ?

-10 x 2 = ?

? = -20

-20 ≠ 20

Step-by-step explanation:

Justificaiton:

5(x)(2) = 20

10(x) = 20

10/10(x) = 20/10

x = 2

Second Justification:

5(x)(2) = 20

5/5(x)(2) = 20/5

2x = 4

2x/2 = 4/2

x = 2

4 0

3 years ago

Please explain to me

kolbaska11 [484]

$\bf \stackrel{\textit{product of a }\stackrel{x}{number}\textit{ and 8}}{8\cdot x}~~=~~\stackrel{\textit{104 more than 4 times that }\stackrel{x}{number}}{4\cdot x+104}\\\\\\~~~~~~~~~~~~~~~~~~~~~~8x=4x+104\\\\-------------------------------\\\\\stackrel{\textit{quotient of a }\stackrel{x}{number}\textit{ and 6}}{\cfrac{x}{6}}~~=~~\stackrel{\textit{15 less than a }\stackrel{x}{number}}{x-15}~~\implies \cfrac{x}{6}=x-15$

5 0

3 years ago

Read 2 more answers

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.

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