Answer:
1.41
Step-by-step explanation:
Given:
(2√12 * 3√5) / (√30 * √36)
Divide √12 and √36 by √12
= (2*1 * 3√5) / (√30 * √3)
= (2 * 3√5) / (√30 * √3)
Divide √5 and √30 by √5
= (2 * 3*1) / (√6 * √3)
= (2 * 3) / √18
= 6/√18
= 6 / 4.2426406871192
= 1.4142135623730
Approximately,
1.41
Alternatively,
(2√12 * 3√5) / (√30 * √36)
= 6.9282032302755 * 6.7082039324993 / 5.4772255750516 * 6
= 46.47580015448846241614255715 / 32.8633534503096
= 1.4142135623730
Answer:
-17.5
Step-by-step explanation:
-2.5 times 7
-17.5
Well the person who painted 1/2 did.
Answer: First option 3/10
Solution
The scale factor of dilation of triangle DEF is the ratio between the corresponding sides of the triangle D'E'F' and the triangle DEF:
Scale factor: f=D'F'/DF=D'E'/DE=E'F'/EF (1)
We can find the ratio D'F'/DF using the similar triangles OD'F' and ODF, because their sides must be proportionals:
D'F'/DF=OF'/OF=OD'/OD (2)
We know according with the figure:
OF'=3 and F'F=7, then:
OF=OF'+F'F→OF=3+7→OF=10
Then replacing in (2):
(2) D'F'/DF=3/10=OD'/OD
And replacing in (1):
(1) f=3/10=D'E'/DE=E'F'/EF
Answer: The scale factor of dilation of triangle DEF is 3/10