The correct answer is option c.) Kari has almost exactly enough left in her budget to see Genoa.
Explanation:
Given information is :
Kari has a budget of $585 set aside for sightseeing.
A tour to Genoa would cost her €60.85.
US dollars to euros at the time of Kari's visit is 1:0.6859, it means 1 dollar was 0.6859 euros.
As a trip to Genoa will cost her, €60.85, so in dollars it becomes:
0.6859 euros =$1
60.85 euros =
≈$88.72
Hence, out of her $585 budget, only $88.72 are used. So, she is left with enough money after visiting Genoa.
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![( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} =](https://tex.z-dn.net/?f=%28%20%20%7B%20-%203y%7D%29%5E%7B4%7D%20%20%3D%20%20%28%7B%20-%203%7D%29%5E%7B4%7D%20%20%5Ctimes%20%28%20%7By%7D%29%5E%7B4%7D%20%20%3D%20)
![81 \times {y}^{4} = 81 {y}^{4}](https://tex.z-dn.net/?f=81%20%5Ctimes%20%20%7By%7D%5E%7B4%7D%20%20%3D%2081%20%7By%7D%5E%7B4%7D%20)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
![\bold{\huge{\underline{ Solution }}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Chuge%7B%5Cunderline%7B%20Solution%20%7D%7D%7D)
<u>Here</u><u>, </u><u> </u><u>we </u><u>have </u><u>given </u>
- One isosceles triangle that means the given triangle having two sides equal.
- The dimensions of the triangle are 21cm, 21 cm and 16 cm.
Consider the given triangle as ABC . In ΔABC, AD acts as a median. It means Angle ADB = 90°
<u>Therefore</u><u>, </u>
<u>By </u><u>using </u><u>Pythagoras </u><u>theorem</u><u>, </u>
- It states that the sum of the squares of base and perpendicular height is equal to the square of the hypotenuse.
<u>That </u><u>is</u><u>, </u>
![\bold{ ( Hypotenuse) ^{2} = (Perpendicular) ^{2} + (base) ^{2}}](https://tex.z-dn.net/?f=%5Cbold%7B%20%28%20Hypotenuse%29%20%5E%7B2%7D%20%3D%20%28Perpendicular%29%20%5E%7B2%7D%20%2B%20%28base%29%20%5E%7B2%7D%7D)
<u>Subsitute </u><u>the </u><u>required </u><u>values </u>
![\sf{ AC^{2} = AB^{2} + BC^{2}}](https://tex.z-dn.net/?f=%5Csf%7B%20AC%5E%7B2%7D%20%3D%20AB%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D)
![\sf{ (21)^{2} = (h) ^{2} + (16)^{2}}](https://tex.z-dn.net/?f=%5Csf%7B%20%2821%29%5E%7B2%7D%20%3D%20%28h%29%20%5E%7B2%7D%20%2B%20%2816%29%5E%7B2%7D%7D)
![\sf{ 441 = (h)^{2} + 256}](https://tex.z-dn.net/?f=%5Csf%7B%20441%20%3D%20%28h%29%5E%7B2%7D%20%2B%20256%7D)
![\sf{ (h)^{2} = 441 - 256}](https://tex.z-dn.net/?f=%5Csf%7B%20%20%28h%29%5E%7B2%7D%20%3D%20441%20-%20256%7D)
![\sf{ h^{2} = 185}](https://tex.z-dn.net/?f=%5Csf%7B%20h%5E%7B2%7D%20%3D%20185%7D)
![\sf{ h = \sqrt{185}}](https://tex.z-dn.net/?f=%5Csf%7B%20h%20%3D%20%5Csqrt%7B185%7D%7D)
![\bold{ h = 13.6 \: cm}](https://tex.z-dn.net/?f=%5Cbold%7B%20h%20%3D%2013.6%20%5C%3A%20cm%7D)
Hence, The required height of the given isosceles triangle is 13.6 cm.
[ Note :- you can also solve this problem by using Heron's Formula but it's too lengthy to solve that's why I have used simple method ]
2/8 ÷ 2
1/4
2/8 in simplest form is = 1/4
and
5/8 in simplest form
5/8
5/8 = 0.625 as a decimal form
5/8 = 0.63 in 2 decimal places
5/8 = 0.6 to the nearest tenth
5/8 = 0.63 to the nearest hundredth
5/8 = 0.625 to the nearest thousandth