Answer:
x=8
RPS = 36
Step-by-step explanation:
QPS = 180
The two angles that form QPS
QPR + RPS = 180
7x+88 + 3x+12 = 180
Combine like terms
10x+100 =180
Subtract 100 from each side
10x = 180-100
10x = 80
Divide by 10
x =80/10
x = 8
RPS = 3x+12
= 3(8)+12
24+12
36
M=(y2-y1)/(x2-x1)
M=(2-0)/(2-(-3)
M=(2)/(5)
Slope is 2/5
I have no idea if that’s right I look algebra 1 last semester
Answer:
2√6 m
Step-by-step explanation:
The formula for the vol. of a cone is V = (1/3)(area of base)(height).
Here, V = 20π m³ = (1/3)(area of the base)(10 m)
We need to solve for (area of the base).
Multiplying both sides of this equation by (3/10) results in:
(3/10)(20 π m³) = (area of the base)
This simplifies to 6π m² = (area of the base)
We still must find the diameter of the base. Let's find the radius of the base first: The formula for the area of a circle is A = πr². Here we have 6π m² = πr², which tells us that r² = 6 m². Since d = 2r, and r = d/2, r² = d²/4. Then the equation 6 m² = r² becomes:
6 m² = d²/4.
Solve this for d. Multiplying both sides by 4, we get:
24 m² = d²2, and d = √(24 m²) = 2√6 m
The cone diameter is 2√6 m.
Answer:
A. 49 + 16 (t - 1)
Step-by-step explanation:
Plug in t = 1 to test for the first hour:

Test as many values as you like, but testing t = 5:

You can see that plugging in just a few values confirms the answer.
Answer: The rate of interest per annum is 1.3%.
Step-by-step explanation:
Given Principal P= $1000
time period n=3
Amount A=$1040,40
To find rate of interest per annum r
We know that

⇒ r = 1.3%.