Answer:
h = 12 cm
Step-by-step explanation:
Use the formula for area of a triangle A = (1/2)bh, where b is the base, and h is the height.
Plug in the given information of A = 36, and b = 6, then solve for h
36 = (1/2)(6)h
36 = 3h (one half of 6 is 3 (1/2)(6) = 3 )
12 = h (divide both sides by 3 to isolate h)
A is the correct answer
(to find diagonal of a square , you can get help from Pythagorean Theorem)
good luck
Answer:
<u>P (E1) = 1/2 or 50%</u>
<u>P (E2) = 3/13 or 23%</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of playing cards = 52
Number of suits = 4
Number of cards per suit = 13
Number of black suits = 2
Number of red suits = 2
2. Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P(E1 or E2).
P (E1) = Number of red cards/Total of playing cards
P (E1) = 26/52 = 1/2 = 50%
P (E2) = Number of face cards/Total of playing cards
P (E2) = 12/52 = 3/13 = 23%
The triangle: α = 40°, β = 35°, and a = 10. is b = 8.9, γ = 105°, c = 15.0
<h3 /><h3>What is Sine Law?</h3>
If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side’s length to the sine of the angle opposite the side must all be the same.
a/ sin A = b/ sin B = c/ sin C
Using Angle sum property in a triangle we have,
α+β+ γ = 180
40+35+ γ=180
γ= 180-75
γ= 105°
Now,
c/ sin γ= a/ sin α
c/ sin 105= 10/ sin 40
c/ 0.96592 = 10 /0.6427
c = 15
again,
b/ sin β= a/ sin α
b/ sin 35= 10/ sin 40
b/0.5737= 15.559
b= 8.92
Learn more about sine law here:
brainly.com/question/17289163
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