Answer:
X=x−4
Step-by-step explanation:
2(x−3)+X=5x−2(x+5)
Use the distributive property to multiply 2 by x−3.
2x−6+X=5x−2(x+5)
Use the distributive property to multiply −2 by x+5.
2x−6+X=5x−2x−10
Combine 5x and −2x to get 3x.
2x−6+X=3x−10
Subtract 2x from both sides.
−6+X=3x−10−2x
Combine 3x and −2x to get x.
−6+X=x−10
Add 6 to both sides.
X=x−10+6
Add −10 and 6 to get −4.
X=x−4
Answer:
perimeter is 4 sqrt(29) + 4pi cm
area is 40 + 8pi cm^2
Step-by-step explanation:
We have a semicircle and a triangle
First the semicircle with diameter 8
A = 1/2 pi r^2 for a semicircle
r = d/2 = 8/2 =4
A = 1/2 pi ( 4)^2
=1/2 pi *16
= 8pi
Now the triangle with base 8 and height 10
A = 1/2 bh
=1/2 8*10
= 40
Add the areas together
A = 40 + 8pi cm^2
Now the perimeter
We have 1/2 of the circumference
1/2 C =1/2 pi *d
= 1/2 pi 8
= 4pi
Now we need to find the length of the hypotenuse of the right triangles
using the pythagorean theorem
a^2+b^2 = c^2
The base is 4 ( 1/2 of the diameter) and the height is 10
4^2 + 10 ^2 = c^2
16 + 100 = c^2
116 = c^2
sqrt(116) = c
2 sqrt(29) = c
Each hypotenuse is the same so we have
hypotenuse + hypotenuse + 1/2 circumference
2 sqrt(29) + 2 sqrt(29) + 4 pi
4 sqrt(29) + 4pi cm
The answer is
a) x° = 80
reasons) the reason is a line is 180°
the angle 100°
that would leave you 80° to make a straight line
i hope this helped :)
The same as the greatest number that can be written
with 10 binary bits: <u>1,024</u>
