Answer:
(a)
radius=diameter/2
=21/2=10.5m
(b)
radius=diameter/2
=3.25/2=1.625mm
I would appreciate if my answer is chosen as a brainliest answer
First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
and
to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
Answer:
<h2>135° angle</h2>
Let the angle be x it's supplement = (180-x)
x = 3 (180-x)
⇒x=540−3x
⇒4x=540⇒x=135°
Step-by-step explanation:
Hope it is helpful....
John Frank Stevens, William C Gorgas and George Washington Goethals 1914 (opened)The building of the 50-mile-long Panama Canal was a collosal project, joining together the Pacific and Atlantic oceans by digging away 240 million metric tons of earth through the Isthmus of Panama. Almost as big a project was sanitising the area around the canal, which was mosquito infested and home to serious diseases like Malaria and Yellow Fever.
<span> In 1907 President Roosevelt appointed George Washington Goethals, a military engineer, as head of the project, and under his leadership the canal was finally completed in 1914, two years ahead of the 1916 target. Of benefit to the whole world, the achievement of the Panama Canal signalled American dominance in project management and engineering like no other project of the day.</span>
Answer:
2(x - 7)(x + 2)
Step-by-step explanation:
Given
2x² - 10x - 28 ← factor out 2 from each term
= 2(x² - 5x - 14) ← factor the quadratic
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)
The factors are - 7 and + 2 , since
- 7 × 2 = - 14 and - 7 + 2 = - 5 , thus
x² - 5x - 14 = (x - 7)(x + 2) and
2x² - 10x - 28 = 2(x - 7)(x + 2)
