Answer:
The measures of the angles are 150° and 30°.
Step-by-step explanation:
Let x and y represent the measures of the angles, with x representing the larger angle.
x + y = 180 . . . . . . the two angles are supplementary
x = 90 + 2y . . . . . one is 90° more than twice the other
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Substituting the expression given by the second equation into the first, we have ...
(90 +2y) +y = 180
3y = 90 . . . . . . . . . . collect terms, subtract 90
y = 30 . . . . . . . . . . . divide by the coefficient of y
x = 180 -y = 150
The measures of the angles are 150° and 30°.
Answer:
You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.
Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.
so, 41 ^ 2 = 40 ^ 2 + h ^ 2
41 ^ 2 = 1681 40 ^ 2 = 1600 Therefore h ^2 must be equal to 81. This means that h = 9.
The height is 9 inches.
Step-by-step explanation:
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~Alex
Answer:
3,943.84
Step-by-step explanation:
Since we know the angle of the arc is 70°, its length will be 7/36 of the whole circumference. The circumference, which is 2*pi*r, is 20 pi = 62.8, so the arc JL is 7/36 * 62.8 = 3,943.84
Answer:
Please, read the anserws below
Step-by-step explanation:
In order to transform all quantities to meters you take into account the following conversion factors:
THen, you have:
for 0,08km:
for 0,3cm:
for 0,77km
for 0,05cm:
for 0,04hm:
for 2hm:
for 9,1mm:
for 92cm: