Step-by-step explanation:
1. Use the Pythagorean theorem to solve for side KM:
- 16^2+KM^2=34^2
- 256+KM^2=1156
- KM^2=900
- KM=30
2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34
3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16
4. Sine is opposite over hypotenuse, so sine of M will be 16/34
5. KM=30, solved for in step 1.
hope this helps!!
It's sometimes true.
One example is the least common multiple of 2 and 3 is 6, which is their product.
But the product isn't always the answer because (example 2:) the least common multiple of 6 and 10 is 30 because 6*5=30 and 3*10=30, however 6*10 is 60.
Ergo, it is only sometimes true.
Okay. So, we should convert fractions to the least common denominator, which is 20. That would be 2 5/20 and 2 16/20. Add both of those numbers up to get 5 1/20. Taylor ran and walked 5 1/20 miles.
Yes it is a rational number
Answer:
(1) Area of second triangle= 50 cm^2.
(2) Area of ΔABC=98 cm^2.
and Area of ΔDFG=175 cm^2.
Step-by-step explanation:
<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>
i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:
![\dfrac{a^2}{b^2}=\dfrac{A}{B}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%5E2%7D%7Bb%5E2%7D%3D%5Cdfrac%7BA%7D%7BB%7D)
(1)
for the first question:
we have a=2, b=5.
A=8 cm^2.
Hence,
![\dfrac{2^2}{5^2}=\dfrac{8}{B}\\\\\dfrac{4}{25}=\dfrac{8}{B}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%5E2%7D%7B5%5E2%7D%3D%5Cdfrac%7B8%7D%7BB%7D%5C%5C%5C%5C%5Cdfrac%7B4%7D%7B25%7D%3D%5Cdfrac%7B8%7D%7BB%7D)
B=50 cm^2.
Hence, the area of second triangle is 50 cm^2.
(2)
In second option we have:
a=6 and b=5.
A-B=77 cm^2.
A=77+B
![\dfrac{6^2}{5^2}=\dfrac{A}{B}\\ \\\dfrac{36}{25}=\dfrac{77+B}{B}\\ \\36B=25\times77+25B\\\\36B-25B=25\times77\\\\11B=25\times77\\\\B=25\times7\\\\B=175](https://tex.z-dn.net/?f=%5Cdfrac%7B6%5E2%7D%7B5%5E2%7D%3D%5Cdfrac%7BA%7D%7BB%7D%5C%5C%20%20%5C%5C%5Cdfrac%7B36%7D%7B25%7D%3D%5Cdfrac%7B77%2BB%7D%7BB%7D%5C%5C%20%20%5C%5C36B%3D25%5Ctimes77%2B25B%5C%5C%5C%5C36B-25B%3D25%5Ctimes77%5C%5C%5C%5C11B%3D25%5Ctimes77%5C%5C%5C%5CB%3D25%5Ctimes7%5C%5C%5C%5CB%3D175)
Hence area of second triangle i.e. ΔDFG is 175 cm^2.
and area of first triangle i.e. ΔABC=175-77=98 cm^2.