Answer:
(3x - 5°) = 52°
Step-by-step explanation:
Formula we use,
→ A + B + C + D + E = 540°
Then the value of x will be,
→ A + B + C + D + E = 540°
→ (6x + 25°) + (5x + 10°) + (3x - 5°) + (5x + 10°) + (6x + 25°) = 540°
→ (6x + 5x + 3x + 5x + 6x) + (25° + 10° - 5° + 10° + 25°) = 540°
→ 25x + 65° = 540°
→ 25x = 540° - 65°
→ 25x = 475°
→ x = 475/25
→ [ x = 19° ]
The value of angle (3x - 5°) will be,
→ (3x - 5°)
→ (3 × 19) - 5°
→ 57° - 5°
→ [ 52° ]
Hence, value of angle (3x - 5°) is 52°.
The correct answer is 12/20.
If you multiply the numerator and the denominator of 3/5 by 4/4:
3•4 = 12
————-
5•4 = 20
Therefore, the equivalent of 3/5 is 12/20.
Please mark my answers as the Brainliest if my explanations were helpful :)
We have to answer what does the 15 represent in the function : f ( x ) = 15 * 2^x, which models the increasing of the frog population at a lake. We know that the frog population doubles every 3 weeks and that: f ( 6 ) = 960. It means that: 15 * 2^ 6 = 15 * 64 = 960. And also f ( 0 ) = 15 * 2^0 = 15 * 1 = 15. Therefore it is a starting population. Answer: The 15 represents <span>B - The starting population.</span>
Answer:
Equation
is in the standard dorm.
Step-by-step explanation:
Here, the x - intercept = 4 , so ( 4,0) is a point on the line.
and the y - intercept = 5, so ( 0,5) is a point on the line.
So, the slope of the equation is given as = 
Now, the SLOPE INTERCEPT FORM of an equation is :
y = mx + b: here m = slope and b = y- intercept
or, 
Now, standard form is Ax +By = C
So, the standard form is 
Hence, the above equation 
is in the standard dorm.
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!