Mathematics, 13.07.2019 06:00 vanessa8527
The areas of two similar triangles are 98in^2 and 162in^2. what is the ratio of their perimeters when comparing smaller and larger?
Answers: 1
![\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\ \rule{31em}{0.25pt}\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}](/tpl/images/0083/7489/dab8d.png)
![\bf \rule{31em}{0.25pt}\\\\ \cfrac{smaller}{larger}\qquad \cfrac{s}{s}=\cfrac{\sqrt{98}}{\sqrt{162}}~~ \begin{cases} 98=2\cdot 7\cdot 7\\ \qquad 2\cdot 7^2\\ 162=2\cdot 9\cdot 9\\ \qquad 2\cdot 9^2 \end{cases}\implies \cfrac{s}{s}=\cfrac{\sqrt{2\cdot 7^2}}{\sqrt{2\cdot 9^2}} \\[2em] \cfrac{s}{s}=\cfrac{7\sqrt{2}}{9\sqrt{2}}\implies \cfrac{s}{s}=\cfrac{7}{9}](/tpl/images/0083/7489/d4a1c.png)
Another question on Mathematics
Mathematics, 21.06.2019 15:30
Divide: 1573 ÷ 7 = a) 222 r5 b) 223 r6 c) 224 r5 d) 224 r3
Answers: 2
Mathematics, 22.06.2019 02:00
Whoever gets this right gets the ! the half life of a soul smelling substance is 4 years. if you have 8 oz of this strange substance, how much of it will you have after 20 years? show work.
Answers: 1
Mathematics, 22.06.2019 02:40
An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)
Answers: 3
Mathematics, 22.06.2019 03:30
Which of the following is true about the following construction of a tangent to a circle from a point outside of the circle?
Answers: 3
You know the right answer?
The areas of two similar triangles are 98in^2 and 162in^2. what is the ratio of their perimeters whe...
Questions
Mathematics, 30.07.2019 23:00
Mathematics, 30.07.2019 23:00
Physics, 30.07.2019 23:00
Geography, 30.07.2019 23:00
Mathematics, 30.07.2019 23:00
Mathematics, 30.07.2019 23:00
Chemistry, 30.07.2019 23:00
Chemistry, 30.07.2019 23:00
Mathematics, 30.07.2019 23:00
