Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon = 
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A = 
A = 120°
Similarly, interior angle of the regular pentagon,
B = 
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D = 
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.
Answer:
105 feet cubed
Step-by-step explanation:
1/2 cubed is 0.125 Since there are 840 wooden blocks, .125x840 is 105 feet cubed
Answer:
1/2 ornament in an hour
Step-by-step explanation:
Given


Required
Determine the ornaments per hour
This question implies that we calculate the unit rate.

Substitute values for Time and number of ornaments


<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>
Answer:
The mean of this distribution is approximately 3.96.
Step-by-step explanation:
Here's how to solve this problem using a normal distribution table.
Let
be the
.
In this question,
and
. The equation becomes
.
To solve for
, the mean of this distribution, the only thing that needs to be found is the value of
. Since
The problem stated that
. Hence,
.
The problem is that the normal distribution tables list only the value of
for
. To estimate
from
, it would be necessary to find the appropriate
Since
and is greater than
,
. As a result,
can be written as the sum of
and
. Besides,
. As a result:
.
Therefore:
.
Lookup
on a normal distribution table. The corresponding
-score is
. (In other words,
.)
Given that
Solve the equation
for the mean,
:
.
.
Sub g to (-3) and then solve from there using PMDAS and equation solving skills, Photomath is a fantastic resource