Answer:
Volume = 684 in^3
Step-by-step explanation:
To start, the equation for Volume = L*W*H
So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:
6*6*6 to get the volume of just it
216
Next. lets get the rectangular prism.
6*6*13
468
Last, combine these.
684 in^3
Answer:
x = 70 and the labeled angles are 110 and 70
Step-by-step explanation:
This is a trapezoid, the bases are parallel.
Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:
x + 40 + x = 180 add like terms
2x + 40 = 180 subtract 40 from both sides
2x = 140 divide both sides by 2
x = 70 and the labeled angles are 110 and 70
Answer:
The correct option is B
B) The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
Step-by-step explanation:
The given equation is
y ≥ 7x - 4
Consider only the equality sign:
y = 7x-4
or
y = 7x + (-4)
The general form of any linear equation is given by:
y = mx + c
By comparing, we can see that:
m = slope = 7
Secondly consider the equation
y ≥ 7x - 4
We know that generally for the signs "equal to and greater/smaller than", we use a solid line, and for the signs "greater/smaller than", we use a dashed line.
Hence, to graph this equation we'll use a solid line.
Thirdly, find y intercept by putting x=0
y = 7(0) - 4
y = -4
The correct option is B
Answer:
Estimate = 0.4
Quotient = 0.355 ---> Approximated to nearest thousandth
Step-by-step explanation:
Question like this is better answered using attachment;
See Attachment
When 1.066 is divided by 3,
The quotient is 0.3553......
When estimating to tenths,
We stop the quotient at 0.35 then round it up.
This gives 0.4
When estimating to nearest thousandth,
We stop the quotient at 0.3553 then round it up;
This gives 0.355
Answer:
56 sq cm
Step-by-step explanation:
SA = Area of Base + 1/2·(Perimeter of Base)·(Slant height)
= 4² + 1/2(4x4)(5)
= 16 + 1/2(16)(5)
= 16 + 40
= 56
