Answer:
option 4 ⇒ 236 lb.
Step-by-step explanation:
Best explanation of the question is as shown in the attached figure.
we will use the parallelogram method to calculate resultant force.
to get the length of the resultant force ⇒ use the cosines law
The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)
Applying at the question where b = F₁ , c = F₂ and ∠A = ∠x
Given that F₁ = 100 pounds , F₂ = 150 pounds and ∠x = 180° - 40° = 140°
∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481
∴ Resultant force = √55481 = 235.54 ≅ 236 pounds
The answer is option 4 ⇒ 236 lb.
Answer:
A and B
Step-by-step explanation:
Each side in Chloe's triangle is 1.5 times the length of each side in Juan's triangle. Thus, they are 'similar' by the <u>math </u>definition of that word, by the SSS Rule for Similar Triangles.
That means they are different only in size. So, their angle measures are the same and they are the same shape.
A and B are true.
C is never true, because the sum of all 3 angles in a triangle is always 180°.
D is not true, because they are similar.
Answer:
32 and 27
Step-by-step explanation:
59 - 5 = 54
54 ÷ 2 = 27( smallest no. )
27 + 5 = 32( largest no. )
Answer:
7/6
Step-by-step explanation:
The width to length ratio is ...
... width / length = (4 2/3 yards)/(4 yards) = (14/3)/4 = 14/12
... width/length = 7/6
True, you would use the ratio of minutes to seconds.