Answer:
Measure of ∠A = 60.07°
Step-by-step explanation:
From the figure attached,
ΔABC is a right triangle,
Measure of side AC = 15 units
and measure of side BC = 13 units
By applying Sine rule in this triangle,
SinA = 
Opposite side of angle A = Side AC
and hypotenuse of the triangle = Side BC
SinA = 
A = 
A = 60.07°
Therefore, measure of angle A is 60.07°.
Answer:
here i finished!
hope it helps yw!
Step-by-step explanation:
The doubling period of a bacterial population is 15 minutes.
At time t = 90 minutes, the bacterial population was 50000.
Round your answers to at least 1 decimal place.
:
We can use the formula:
A = Ao*2^(t/d); where:
A = amt after t time
Ao = initial amt (t=0)
t = time period in question
d = doubling time of substance
In our problem
d = 15 min
t = 90 min
A = 50000
What was the initial population at time t = 0
Ao * 2^(90/15) = 50000
Ao * 2^6 = 50000
We know 2^6 = 64
64(Ao) = 50000
Ao = 50000/64
Ao = 781.25 is the initial population
:
Find the size of the bacterial population after 4 hours
Change 4 hr to 240 min
A = 781.25 * 2^(240/15
A = 781.25 * 2^16
A= 781.25 * 65536
A = 51,199,218.75 after 4 hrs
Answer:
Step-by-step explanation:
It's a perfect square.
It factors into (3g - 5h)^2
or (3g - 5h)(3g - 5h)
Make sure it is correctly factored.
3g*3g = 9g^2
3g * - 5h = - 15gh
-5h*3g = - 15gh
5h*5h = 25h^2
These four terms add to 9g^2 - 15gh - 15gh + 25h^2 = 9g^2 - 30gh + 25h^2 which is exactly what you started with.
Answer:
23
Step-by-step explanation:
The sides of a square are all the same length, so if 3 of them total 48, one of them must be 48/3 = 16.
If the length of the rectangle is 7 longer than the side of the square, it is
... 16 + 7 = 23
Confused what the question is. Are you looking for the product or the zeroes?
If you are looking for the product, then:
Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)
= sec² + sec²csc² - 1 + csc²
= sec²csc² + sec² + csc² - 1
= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)
= sec²csc²
Answer: sec²csc²
***************************************************
If you are looking for the zeroes, then:
Using the zero product property, set each factor equal to zero and solve.
<u>First factor:</u>
sec²Θ - 1 = 0
sec²Θ = 1
secΘ = 1, -1
remember that secΘ is 
= 1 = -1
cross multiply to get:
cosΘ = 1 cosΘ = -1
use the unit circle (or a calculator) to find that Θ = 0 and π
<u>Second factor:</u>
1 - csc²Θ = 0
1 = csc²Θ
1, -1 = cscΘ
remember that cscΘ is 
= 1 = -1
cross multiply to get:
sinΘ = 1 sinΘ = -1
use the unit circle (or a calculator) to find that Θ = 
and 
Answer: 0, π, ,
