By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5
<em><u>Recall:</u></em>
Trigonometry ratios, <em>SOH CAH TOA</em> can be applied to solve a right triangle.
- Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).
<em><u>Given:</u></em>
ΔMNL is a right triangle
ML = 25
NL = 15
Find MN using the Pythagorean Theorem:
MN = √(ML² - NL²)
MN = √(25² - 15²)
MN = 20
To find the value of cos(M), apply the trigonometry ratio, CAH, which is:
cos ∅ = Adj/Hyp
∅ = M (reference angle)
Hypotenuse = ML = 25
Adjacent = MN = 20
cos(M) = 20/25
cos(M) = 4/5
Learn more about Trigonometry ratios on:
brainly.com/question/10417664
Answer:
26 gallons
Step-by-step explanation:
7/10 - 1/5 = 7/10 - 2/10 = 5/10 = 1/2
1/2x = 13
x = 26
Answer:
Mass of proton (m) = 1.67×10^(-27) kg
Step-by-step explanation:
Mass of proton (m) = 1.67×10^(-27) kg.
Since, 1 kg = 1000 g
Therefore, m = 1.67x10^(-27+3) g = 1.67x10^(-24) g
Let N no. of protons be present in 1 g. Hence, Nxm = 1 g
So, N = 1 / m = 1 / (1.67x10^(-24))
N = 6x10^(23) (approx.)
Exact mass of proton gives N = 6.022 x 10^(23).
That is a very special no. In fact, it is the Avogadro’s constant used frequently in chemistry. Avogadro’s no. is actually the number of atoms in exactly 12 g of C-12 isotope of carbon. Since, the atomic mass of C-12 is 12 u (unified mass), then again the no. of carbon atoms turn out to be N.
Answer:
27
Step-by-step explanation:
Answer:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Step-by-step explanation: Hope this helped