Option A:
The simplest radical form of x is 
.
Solution:
Hypotenuse = 16 in
Two sides are 11 in and x.
To find the value of x:
Pythagoras theorem:
In a right angle triangle, the hypotenuse is equal to the sum of the other two sides.
Subtract 121 from both sides of the equation.
Taking square root on both sides of the equation.
Hence option A is the correct answer.
Hence the simplest radical form of x is .
The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)
A = 28(34) + (1/2) 11 (28) + (1/2) (9)(34)
A = 1259
Answer: 1259 sq units
Answer:
Surface area: 592
Volume: 960
Step-by-step explanation:
First the surface area:
The formula for a rectangular prism is length times width, plus width times height, plus length times height times two
So,
lw= 12 times 10 = 120
wh= 10 times 8 = 80
lh = 12 times 8 = 96
(120 plus 80 plus 96) times 2 = 296 times 2 = 592
Surface area = 592
Second, volume:
Formula is length times width times height
12 times 10 times 8 = 120 times 8 = 960
Volume = 960 cubic cm.
Hope this helped. Sorry if I was wrong.
Answer:
y = 11x
Step-by-step explanation:
We have two points so we can find the slope
(1,11) and (2,22)
m = (y2-y1)/ (x2-x1)
= (22-11)/(2-1)
= 11/1
The slope is 11
We can use the point slope form to get an equation
y-y1 = m(x-x1)
y-11 = 11(x-1)
Distribute the 11
y-11=11x -11
Add 11 to each side
y-11+11 = 11x-11+11
y = 11x
Answer:
the artist cuts off 10 inches of ribbon in total
Step-by-step explanation:
2.5 × 4 = 10
