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kodGreya [7K]
3 years ago
12

PleAse help and show how you got it if you don’t mind

Mathematics
1 answer:
Lorico [155]3 years ago
3 0
1)

\bf \textit{surface area of a cube}\\\\
s=6x^2\quad 
\begin{cases}
x=\textit{length of a side}\\
---------\\
s=150
\end{cases}\implies 150=6x^2\implies \cfrac{150}{6}=x^2
\\\\\\
25=x^2\implies \sqrt{25}=x\implies \boxed{5=x}

3)

\bf \textit{volume of a square pyramid}\\\\
V=\cfrac{b^2h}{3}\quad 
\begin{cases}
b=\textit{base's side}\\
h=height\\
-------\\
h=3\\
V=25
\end{cases}\implies 25=\cfrac{b^2\cdot 3}{3}\implies 25=b^2\cdot \cfrac{3}{3}
\\\\\\
25=b^2\cdot 1\implies 25=b^2\implies \sqrt{25}=b\implies \boxed{5=b}
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Juli2301 [7.4K]

Answer   V≈351.86

Step-by-step explanation: V=πr2h=π·42·7≈351.85838

The formula for the volume of a cylinder is V=Bh  or  V=πr2h .

The radius of the cylinder is 4 cm and the height is 7 cm.

Substitute 4 for r and 7 for h in the formula V=πr2h .

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3 years ago
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mr Goodwill [35]
Given:
  ∠JEK + ∠DFH = 90°

Find:
  relationship, if any, of ∠JEK to angles CFL, HFG, LFE

Solution:
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  We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
  And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.

Evaluating the choices, we find
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The appropriate choice is ...
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3 years ago
Find the percent of the area under the density curve where x is more than 3. <br>​
Gekata [30.6K]

Answer:

The percent of the area under the density curve where x is more that 3 is 25 %.

Step-by-step explanation:

Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:

A = \frac{1}{2}\cdot (x_{f} - x_{o})\cdot  (y_{f}-y_{o}) (1)

Where:

A - Area, in square units.

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y_{f} - y_{o} - Height of the triangle, in units.

The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:

x = \frac{\frac{1}{2}\cdot (5-3)\cdot (0.25) }{\frac{1}{2}\cdot (5-1)\cdot (0.5) }\times 100\,\%

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The percent of the area under the density curve where x is more that 3 is 25 %.

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