$\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\\\ \begin{array}{ccccllll} &\stackrel{\stackrel{ratio}{of~the}}{Sides}&\stackrel{\stackrel{ratio}{of~the}}{Areas}&\stackrel{\stackrel{ratio}{of~the}}{Volumes}\\ \cline{2-4}&\\ \cfrac{\stackrel{similar}{shape}}{\stackrel{similar}{shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}~\hspace{6em} \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \cfrac{s}{s}=\cfrac{\sqrt[3]{8}}{\sqrt[3]{125}}\implies \cfrac{s}{s}=\cfrac{2}{5}\qquad \leftarrow \textit{ratio of the sides or scale factor}$

8 0

3 years ago

Jimmy's Bakery sold 950 donuts last week. This week, the number of donuts sold increased 12%. How many more donuts were sold thi

soldi70 [24.7K]

Answer:

114

Step-by-step explanation:

12% of 950 is 114, so since 12% more donuts are sold this week, we sold 114 more donuts this week compared to last week.

7 0

3 years ago

The perimeter of a rectangle is 19 centimeters. Its length is 6 centimeters. What is its width?

Sedaia [141]

Answer:

3.5 cm

Step-by-step explanation:

Perimeter of rectangle = 2 × (w + h)

w = width

h = height

We have: 2 x (w + 6) = 19

w + 6 = 19 : 2 = 9.5

w = 9.5 - 6 = 3.5 (cm)

7 0

3 years ago

How many terms are in the expression<br> 5a+1?<br> 1<br> 4<br> 3<br> 2

Studentka2010 [4]

Answer:

I think the answer is 2

Step-by-step explanation:

7 0

2 years ago