The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely wit
h paper. How much paper do you need?
1 answer:
Answer:
Total paper required = 165 cm²
Step-by-step explanation:
Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid
Surface area of the rectangular prism = 2(lb + bh + hl)
(here l, b, h are the length, width and height respectively)
= 2(5×5 + 5×4 + 4×5)
= 2(25 + 20 + 20)
= 2×65
= 130 cm²
Area of the top of the prism = (side)²
= 5²
= 25 cm²
Lateral area of the square pyramid = 4 × Area of one lateral side
= 4 ×
= 4 ×
= 60 cm²
Total paper required = (130 - 25) + 60
= 105 + 60
= 165 cm²
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Answer:
<u>Question 1:</u>
Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.
<u>Question 2:</u>
A). y = 1.2x - 6
<u>Question 3:</u>
J). y =
<u>Question 4:</u>
F). f(n) = -3n + 24 *<em>Although it doesn't work when f(n) = 6 and n = 6*</em>
<u />
Step-by-step explanation:
<u>Question 2:</u>
The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8
For parallel lines, their values of slope is the same.
So our line, that passes through point (5, 0), also has a slope of 1.2
Taking another point (x, y) on our line;
Slope = change in y ÷ change in x
1.2 =
y = 1.2x - 1.2(5)
y = 1.2x - 6
<u>Question 3:</u>
The line passes x-axis at point (36, 0)
The line is perpendicular to another line whose equation is y = - + 5
For perpendicular lines, the product of their slopes = -1
Let's say the slope of our unknown line is a ;
Given: The slope of our second line is -4/9
So,
a × -4/9 = -1
a = -1 × -9/4 = 9/4
Taking another point (x, y) on our unknown line;
Slope = change in y ÷ change in x
9/4 =
Cross-multiplying that you get;
y =
<u>Question 4:</u>
The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6
Answer:
x = 4.712145
Step-by-step explanation:
Given a=20 and b=28,
c = 4√74 = 34.409301068171
∠α = 35.538° = 35°32'16" = 0.62025 rad
∠β = 54.462° = 54°27'44" = 0.95055 rad
Area = 280
Perimeter = 82.409301068171
<h2><u>_____________________________________</u></h2>Let's solve your equation step-by-step.
9x−8=34.409301
Step 1: Add 8 to both sides.
9x−8+8=34.409301+8
9x=42.409301
Step 2: Divide both sides by 9.
x=4.712145
<h2>Answer:</h2><h2>x=4.712145</h2>
Answer: Choice C
=========================================================
Explanation:
There are four marked points on the line.
Each point is of the form (x,y)
- The first or left most point is (0,1)
- The second point is (2,2)
- The third is (4,3)
- The fourth is (6,4)
Each of these points is then listed in the table format as shown above.
There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).
Extra side notes:
- The slope of this line is m = 1/2 = 0.5
- The y intercept is 1 located at (0,1)
- The equation of this line is y = 0.5x+1