2m+12=4
2m+12-12=4-12
2m=-8
m=-4
Answer:
A = 10.5%
B = 28.9%
C = 39.5%
D = 18.4%
F = 2.6%
Step-by-step explanation:
Add all the frequencies together = 38
- 4/38 × 100 = 10.5%
- 11/38 × 100 = 28.9%
- 15/38 × 100 = 39.5%
- 7/38 × 100 = 18.4%
- 1/38 × 100 = 2.6%
10.5 + 28.9 + 39.5 + 18.4 + 2.6 = 100%
![\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 ]
Depending on the speed all you need to do is multiply the speed by the number of hours that Jesse is driving.