Can someone help me with this please? :)))

Mathematics

2 answers:

Natali5045456 [20]2 years ago

7 0

Answer:

Step-by-step explanation:

86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.

noname [10]2 years ago

4 0

Answer:

88 questions

Step-by-step explanation:

Given :-

86 questions correct = grade of 98%

Solving :-

Let total problems be T
T x 49/50 = 86
T = 86 x 50 / 49
T = 86 x 1.02
T = 87.72
T = 88 questions

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Mike has two containers, One container is a rectangular prism with width 2 cm, length 4cm, and height 10cm. The other is a cylin

saul85 [17]

so, we know both the rectangular prism and the cylinder got filled up to a certain height each, the same height say "h" cm.

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$\bf \stackrel{\stackrel{\textit{volume of a}}{\textit{rectangular prism}}}{V=Lwh}~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=4\\ w=2\\ \end{cases}~\hspace{2em}\stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{prism's volume}}{(4)(2)(h)}~~+~~\stackrel{\textit{cylinder's volume}}{(\pi )(1)^2(h)}~~=~~80 \\\\\\ 8h+\pi h=80\implies h(8+\pi )=80\implies h=\cfrac{80}{8+\pi }\implies h\approx 7.180301999$