Answer:
The number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40.
Step-by-step explanation:
IMPORTANT INFORMATION: The number of noncommercial orbital launches was two more than twice the number of commercial orbital launches.
Let's say that the number of commercial orbital launches is equal to x. Now, the number of noncommercial orbital launches is equal to 2x+2.
We are told that if we add the number of commercial and noncommercial orbital launches together we will get 59.
Therefore, if we add 2x+2 with x we should get 59:
2x+2+x=59
3x+2=59
3x=57
x=19
This is how we can come to the answer that the number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40 (2x+2=2*19+2=38+2=40).
Hope this helps!
Given:
The vertices of the triangle are (-10,-3), (1,4) and (-1,7).
To find:
The perimeter of the triangle.
Solution:
Distance formula:
Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).
Using distance formula, we get
Similarly,
Now, the perimeter of the triangle is
Therefore, the perimeter of the triangle is 30.098 units.
Answer:
65 degrees
Step-by-step explanation:
Rate is the change in one variable in relation to another variable. Generally, rate is calculated as follows:
R = ΔV1/ΔV2
Where
R = Rate
ΔV1 = Change in variable 1
ΔV2 = Change in variable 2
In the current scenario,
ΔV1 = 250,000 m^3 of mulch applied
ΔV2 = 1 m^2 of garden space
Therefore,
Rate of applying much is, R = 250,000/1 = 250,000 m^3/m^2
In the triangle, the remaining angle has measure 
. Then by the intersecting secants theorem,
(assuming 102º refers to the measure of arc PK)
