Answer:
7.2
Step-by-step explanation:
16.76 = 16.8
9.611 = 9.6
16.8 - 9.6 = 7.2
7/8(x-1/2)= -49/80
Multiply the bracket by 7/8
7/8x-7/16= -49/80
Move -7/16 to other side. Sign changes from -7/16 to +7/16
7/8x-7/16+7/16= -49/80+7/16
7/8x= -49/80+7/16
Find common denominator for 7/16 which is 5. Multiply 5 for the numerator and denominator.
7(5) / 16 (5)
= 35/80
7/8x= -49/80+35/80
7/8x= -14/80
Reduce -14/80 , divide by 2
(-14) /2=7 , 80/2= 40
-14/80= -7/40
7/8x= -7/40
Multiply by 8/7
7/8x*8/7= -7/40 * 8/7
Cross out 7 and 7 , and divide by 7. Cross out -7 and 7 and divide by 7. Cross out 40 and 8 divide by 8.
x= -1/5
Answer: x= -1/5 - G.
Answer:
(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))
Step-by-step explanation:
Base of the Pyramid = 8 Inches
Height of the Triangular Face = 6.9 Inches
In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.
Since the four triangles are congruent:
Lateral Surface Area = 4 X Area of One Triangle
Area of a Triangle = 
Area of one Triangular Face 
Therefore:
Lateral Surface Area 
Therefore, Talia is correct.
A construction crew wants to hoist a heavy
beam so that it is standing up straight. They
tie a rope to the beam, secure the base, and
pull the rope through a pulley to raise one
end of the beam from the ground. When
the beam makes an angle of 40 degrees with the
ground, the top of the beam is 8 ft above
the ground.
Th e construction site has some telephone
wires crossing it. Th e workers are
concerned that the beam may hit the wires.
When the beam makes an angle of 60 degrees with
the ground, the wires are 2 ft above the top
of the beam. Will the beam clear the wires
on its way to standing up straight?
<span>Math - Steve Thursday, April 16, 2015 at 6:22pmwe see that the length of the beam is
8/sin40 = 12.45 ft
At 60 degrees, the top is
12.45sin60 = 10.78 ft high
So, the wire is 12.78 ft up.
Since the beam is only 12.45 ft long, it will not touch the wires.</span>
