Answer:
Sum of Interior Angles = 900°
One Interior Angle = 128.57°
Step-by-step explanation:
We know that the figure is a Heptagon (a 7 sided polygon), therefore;
→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;
=> (n - 2) * 180 = Sum of Interior Angles
=> (7 - 2) * 180 = Sum of Interior Angles
=> 5 * 180 = Sum of Interior Angles
=> <u>900° = Sum of Interior Angles</u>
Now that we know the sum of interior angles,
→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.
=> Sum of Interior Angles / n = One Interior Angle
=> 900 / 7 = One Interior Angle
=> <u>128.57° = One Interior Angle</u>
Hope this helps!
Answer:
The distance between two cities is <em>60 miles.</em>
Step-by-step explanation:
Time taken to travel from B to A = 2 hours
Time taken to travel from A to B = 1.5 hours
Current speed = 5 mph
Let the speed of ferry in still water = <em>u</em> mph
When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).
Let the distance between the two cities A and B = D miles
While moving with the current, speed = 
While moving against the current, speed = 
Formula for Distance = Speed 
Time
Distance traveled in each case is same i.e. D.
So,
Now,
So, the distance between two cities is <em>60 miles.</em>
Hi again :)
(3p +2)(5p-1)
Distribute '
(3p)(5p)+(3p)(-1)+(2p=)(5p)+(2)(-1)
15p² - 3p + 10x - 2
15p² + 7p - 2
Thus, the correct option is : C
(5w+2)(8w+5) It says to use the tab, but I don't know :) so I am using my way :)
Distribute
(5w)(8w)+(5w)(5)+(2)(8w)+(2)(5)
40w² + 25w + 16w + 10
40w² + 41w + 10
Thus, The answer is B
Again, I don't know how to solve it by suing the tab. However, I will use my way :)
(-5y+3)(2y+5)
Distribute
(-5y)(2y)+(-5y)(5)+(3)(2y)+(3)(5)
-10y² - 25y + 6y + 15
-10y² - 19y + 15
Thus, the answer is : D
(6x - 5)(2x - 3)
Distribute
(6x)(2x)+(6x)(-3)+(-5)(2x)+(-5)(-3)
12x² - 18x - 10x + 15
12x² - 28x + 15
The answer is : A
For #12 The answer is : C
Now let's solve #13
(4x -6y³)²
Distribute
(4x)(4x)+(4x)(-6y³)+(-6y³)(4x)+(-6y³)(-6y³)
16x² - 24xy³-24xy³+36y^6
36y^6 - 48xy³ = 16x²
The answer is B
wow, that was a lot of work. Good luck!
The percent of the sales tax would be 5%.
Answer:
10feet
Step-by-step explanation:
Given the following
Horizontal distance adjacent )= 15feet
Angle of elevation = 33.69°
Required
Height (opposite)
Using the SOH CAHTOA identity
tan theta = opposite/adjacent
tan 33.69 = H/15
H = 15tan33.69
H = 15(0.6667)
H = 9.999
H = 10feet to the nearesst foot
