Triangular Prism- SA= 1/2bh
= 1/2 × 7 × 11
= 38 1/2 × 4 = 154
7 × 7 = 49
= 154 + 49
= 204in³
Rectangular Prism- SA= 2lw + 2lh + 2wh
= 2 × 11 × 7 + 2 × 11 × 7 + 2 × 7 × 7
= 154 + 154 + 98
= 406in³
Therefore, the rectangular prism has the larger surface area.
Answer:
Step-by-step explanation:
Call T the top
call G the bottom
T G B is a right triangle
37 at B, 90 at G, thus 53 at BTG
TGA is a right triangle
25 at A, 90 at G, thus 65 at ATG
thus 122 at ABT
law of sines:
sin 25 / BT = sin 12/ 57
so BT = 156 meters (first answer)
now angle ABT = 180 - 12 - 25
= 143
so
sin 143 /AT = sin12/57
AT = 164 meters, second answer
Answer:

Step-by-step explanation:
Given
The attached graph
Required
Determine the equation in point slope form
From the graph, we have the following points;


First, we calculate the slope (m):





The equation is then calculated using:

Substitute x and y values


When there are 1000 repetitions, the mean will be 5.002.
The charts that you have list the number of total heads when you flip the coin 10 times in each trial.
Multiply the total of each by the number number of heads for that category and divide by 1000.
1 x 0
8 x 1
43 x 2
117 x 3
2017 x 4
248 x 5
203 x 6
121 x 7
45 x 8
6 x 9
1 x 10
If you add up those products and divide by 1000, you have 5.002.
Using the law of large numbers, the experiment with 1000 rolls will be the closest to the theoretical amount.
Answer:
y =

+
Explanation:The slope-intercept form of the equation has the following formula:y = mx + c
where:
m is the slope
c is the y-intercept
The given is:17x + 15y = 5
To put it in the slope-intercept formula, we should isolate the y as follows:17x + 15y = 5
15y = -17x + 5
y = (-17/15) x + (5/15)
y =

+

where:
m is the slope = -17/15
c is the y-intercept = 1/3
Hope this helps :)