Answer:
75
Step-by-step explanation:
The sum of internal angles in a triangle is equal to 180
58 + 47 + x = 180
105 + x = 180 subtract 105 from both sides
x = 75
the sum of supplementary angles equals 180°
you can have an acute angle (less than 90°) + an obtuse angle (greater than 90°) equal to 180°
But you can also have a right angle (equal to 90°) + another right angle equal to 180°
Answer: (b) sometimes
Answer:
she cut 6 inches of tape
Step-by-step explanation:
you can start by multiplying 3/8 and 6/1 which gives you 6
Answer:
tan(2u)=[4sqrt(21)]/[17]
Step-by-step explanation:
Let u=arcsin(0.4)
tan(2u)=sin(2u)/cos(2u)
tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]
If u=arcsin(0.4), then sin(u)=0.4
By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.
This also implies cos(u)=sqrt(0.84) since cosine is positive.
Plug in values:
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]
tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]
tan(2u)=[(40)(sqrt(0.84)]/[34]
tan(2u)=[(20)(sqrt(0.84)]/[17]
Note:
0.84=0.04(21)
So the principal square root of 0.04 is 0.2
Sqrt(0.84)=0.2sqrt(21).
tan(2u)=[(20)(0.2)(sqrt(21)]/[17]
tan(2u)=[(20)(2)sqrt(21)]/[170]
tan(2u)=[(2)(2)sqrt(21)]/[17]
tan(2u)=[4sqrt(21)]/[17]
Answer:
Joshua bought 12 cookies & ABOUT 7 donuts.
Step-by-step explanation:
