Answer:
21.8° (22° to the nearest degree)
Step-by-step explanation:
Using cosine law:
a² = b² + c² - 2bc(cosA)
3² = 5² + 7² - 2(5)(7)cosA
cosA = 13/14
A = 21.7867893
Approximately angle: 22°
6x - 4y = 8...solve for x
6x = 4y + 8
x = (4/6)y + 8/6
x = 2/3y + 4/3 <==
V= 735.62
volume formula for sphere is v= 4/3 π r3
the radius is half of the diameter so v= 4/3 π 5.6 3
i think?
Answer:
DG is 8.75.
Step-by-step explanation:
Because we have an isosceles triangle with a perpendicular bisector, we have two identical triangles which share equal sides. We know DF is 14 and FG is 4x. These are corresponding sides and we set them equal.
4x=14
x= 3.5.
We also know DE=EG and that DE=1.25x.
We substitute this term and x=3.5.
1.25x=EG
1.25(3.5)=EG
EG is 4.375.
We double 4.375 to find the whole segment DG since they are equal halves. DG is 8.75.
