Answer:
an = -9 -3(n -1)
Step-by-step explanation:
The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Putting your numbers into the formula gives ....
an = -9 -3(n-1)
The sum of all of the exterior angles of any regular polygon is 360 (I'm assuming by decagon you mean a regular dodecagon).
Because the total has to be 360, and a decagon has 10 sides, you divide 360 by 10 to get each exterior angle.
360 ÷ 10 = 36, so each exterior angle of a decagon is 36 degrees.
-5x+13y=-7
5x+4y=24
add the equation to eliminate x:
13y+4y=-7+24
17y=17
solve for y:
17/17y=17/17
y=1
then plug in y into any equation to solve for x:
-5x+13y=-7, y=1
-5x+(13*1)=-7
-5x+13-13=-7-13
-5x=-20
-5/-5x=-20/-5
x=4
the answers are x=4, y=1
Step-by-step explanation:
For a given rectangle,the area(A) is the product of its length and width
A=lw, given A=350m² and l=50m
transposing the equation for w gives w=A/l
w=350m²/50m=7m
That's it
48π cm^3
Step-by-step explanation:
The formula for the volume of a cone is...
We can plug everything we know from the photo into the equation, but note that the picture gives us the diameter, which is 8, instead of the radius. The radius is half of the diameter, so the radius will be 4. Also we will be leaving pi as it is, instead of changing it to 3.14.
V = 48π
The paper cone can hold <u><em>48π cubic centimeters</em></u> of water.
