Answer:
The answer is (D) ⇒ a = 11.71 , b = 15.56
Step-by-step explanation:
* In ΔABC
∵ m∠A = 45°
∵ m∠B = 110°
∴ m∠C = 180 - 45 - 110 = 25°
By using the sin Rule
∵ a/sin(A) = b/sin(B) = c/sin(C)
∵ c = 7
∴ a/sin(45) = b/sin(110) = 7/sin(25)
∴ a = (7 × sin(45)) ÷ sin(25) = 11.71
∴ b = (7 × sin(110)) ÷ sin(25) = 15.56
∴ The answer is (D)
Answer:d
Step-by-step explanation:
Because of the vertical angles theorem, BAC becomes 50°. And angle B is 180-(50+30)=100.
If all 3 triangles are similar, the angles of triangle EFG are 30°, 50°, 100°
Answer:
1.79553
Step-by-step explanation:
Step 1: Write expression
log₁₀(√(69.5² - 30.5²))
Step 2: Evaluate square root
log(√(4830.25 - 930.25))
log(√3900)
log(62.45)
Step 3: Find log
log₁₀ (or log)
log(62.45) = 1.79553
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To use the table method. we find values that are easily evaluated by log₁₀
log₁₀(10) = 1
log₁₀(50) = 1.69897
log₁₀(100) = 2
So we know that log₁₀(62.45) is between 1 and 2 and greater that 1.69897.
Answer:
Option A , C and D are correct.
Step-by-step explanation:
Double Facts states that the additions in which a number is added to itself.
then; by definition of double facts
Use Double facts to find the sum of 3 + 2
3 + 2
=3 + (3 - 1)
= 3+ 3 - 1
= 6 - 1
= 5
similarly,
3+2 = (1+2) + 2 = 1 + 2+2 = 1 + 4 = 5
Also;
3 + 2 = 3 + (1+1) = 3 +1+1 = 5
therefore, the double facts that used to find the sum of 3+2 are; 2+2 , 3+3 and 1+ 1.
