Answer:
60 square units
Step-by-step explanation:
You can get there a couple of ways.
One way is to consider the enclosing rectangle, which is 9 units by 11 units, so has an area of 99 square units. From that will be subtracted two triangles having height 2 and width 6, and two triangles having height 3 and width 9. Thus the net area in rectangle DEFG is ...
99 - 2·6 - 3·9 = 60 . . . square units
__
Another way is to find the lengths of each of the sides and multiply those.
Short side = √(2²+6²) = 2√10
Long side = √(3²+9²) = 3√10
area = short side × long side = (2√10)(3√10) = 6·10 = 60 . . . square units
The sum of all interior angles in a triangle is 180°.
m∠q + m∠r + m∠s = 180°
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18
m∠q = (1x)° = 1 x 18 = 18°
m∠ r = (3x)° = 3 x 18 = 54°
m∠s = (6x)° = 6 x 18 = 108°
m∠s is the obtuse angle because its measure is more than 90°. Its angle measures 108°
Answer:
Step-by-step explanation:
we know that
The circumference of a circle is equal to
where
D is the diameter
in this problem we have
substitute
-----> equation that give the value of the circumference
Answer:
d=4.5t
Step-by-step explanation:
in two hours, Francine went 9 miles
9/2=4.5
the distance equals 4.5 times each cycling time.
d=4.5t
