Answer:
Hey there!
We don't have enough information. 7(n+5) can be written as either the 7 times the sum of n+5, or 7 multiplied by n+5.
Let me know if this helps :)
First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that 
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.
Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.
Cross multiply
Hence proved.
Cross multiply the expression so that we can get
(1+sinx)(1-sinx) = cos^2 x
1 - sin^2 x = cos^2 x
cos^2 x + sin^2 x = 1
since
cos^2 x + sin^2 x = 1
therefore
1 = 1
the two expressions are identical in a trigonometric sense
Answer:
Theresa's height is 60 inches
Step-by-step explanation:
The given parameters are;
The height of Paul = The height of Steve
Paul's height = 
times Theresa's height - 16 inches
Steve's height = 
times Theresa's height - 6 inches
Let 'T' represents Theresa's height, we have;
Paul's height = ×T - 16
Steve's height = ×T - 6
Paul's height = Steve's height
Therefore;
×T - 16 = ×T - 6
×T - ×T = 10
×T - 
×T = 10
×T = 10
T = 10 × 6 = 60
Theresa's height, T = 60 inches
