7 inches x 17 boards = 119 inches
119 inches / 12 inches per foot = 9 feet 11 inches.
7 feet x 17 boards = 119 feet.
119 feet + 9 feet 11 inches = 128 feet 11 inches
Find tan (22.5)
Answer: #-1 + sqrt2#
Explanation:
Call tan (22.5) = tan t --> tan 2t = tan 45 = 1
Use trig identity: # tan 2t = (2tan t)/(1 - tan^2 t)# (1)
#tan 2t = 1 = (2tan t)/(1 - tan^2 t)# -->
--> #tan^2 t + 2(tan t) - 1 = 0#
Solve this quadratic equation for tan t.
#D = d^2 = b^2 - 4ac = 4 + 4 = 8# --> #d = +- 2sqrt2#
There are 2 real roots:
tan t = -b/2a +- d/2a = -2/1 + 2sqrt2/2 = - 1 +- sqrt2
Answer:
#tan t = tan (22.5) = - 1 +- sqrt2#
Since tan 22.5 is positive, then take the positive answer:
tan (22.5) = - 1 + sqrt2
Answer:
147 cubic inches
Step-by-step explanation:
volume of the prism is length x breadth x height
3.5 x 7 x 6=147
Answer:
B
Step-by-step explanation:
because 4(x+3)=6x+16 is true
4(-2+3)=6(-2)+16
4(1)= -12+16
4=4
so the equation is true
hope it helped
Answer:
40 square inches.
Step-by-step explanation:
It is given that the new club sticker is in the shape of a triangle.
Height of triangle = 8 inches
Base of triangle = 10 inches
We need to find the area of sticker.
Area of triangle 
Substitute base = 10 and height = 8 in the above formula.
Area of triangle 
Area of triangle 
Area of triangle 
Therefore, the area of the club sticker is 40 square inches.
