Given that Macy wants to construct an isosceles triangle, with the unique angle being 40° it implies that for the triangle to be isosceles, the base angles should be the same. The size of the base angles will be:
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm
80 goes into 142 once, so one is our whole number. there are still 62 / 80 left, so we reduce this fraction. The answer is
1
Answer:
uun
Step-by-step explanation:
kfqhacz
Answer:
3.2 miles
Step-by-step explanation:
Given that Mary drives 9 miles north and 6 miles east to get there, the resultant miles will be achieved by using pythagorean theorem
R = sqrt ( 9^2 + 6^2 )
R = sqrt ( 81 + 36 )
R = sqrt ( 117 )
R = 10.82 miles
while Ben drives 3 miles south and 7 miles west
Use the same pythagorean theorem to find the resultant displacement
R = sqrt ( 3^2 + 7^2 )
R = sqrt ( 9 + 49 )
R = sqrt ( 58 )
R = 7.62 miles
The difference in miles to where Mary and Benjamin live will be difference in the resultant displacement of the two
Difference = 10.82 - 7.62 = 3.2 miles.
Therefore, Mary live 3.2 miles from Benjamin.
The equivalent discount is 10.