Answer: C (4,7)
Points are labeled as (x,y)
If the unknown point is 4 units away from the origin on the x axis, x will be 4
If the unknown point is 7 units away from the origin on the y axis, y will be 7
Therefore (4,7)
Answer:
Height of flagpole before it fell = 5.15 m
Step-by-step explanation:
Given:
Height of remain pole (p) = 1.7 m
Distance from base (b) = 3 m
Find:
Height of flagpole before it fell
Computation:
Using Pythagorean theorem
H = √ p² + b
Length of broken part = √ 1.7² + 3²
Length of broken part = √ 2.89 + 9
Length of broken part = √ 11.89
Length of broken part = 3.45 (Approx)
Height of flagpole before it fell = Length of broken part + Height of remain pole
Height of flagpole before it fell = 3.45 + 1.7
Height of flagpole before it fell = 5.15 m
Answer:
- 33 1/3 liters of 30%
- 16 2/3 liters of 45%
Step-by-step explanation:
Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...
0.45x +0.30(50 -x) = 0.35(50)
0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)
x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl
33 1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.
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<em>Comment on the solution</em>
You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...
(mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3
Step-by-step explanation:
A rectangular prism is nothing but a cuboid. Let the length , width and height of the rectangular prism be l, w and h.
We know that volume of a cuboid V = l×w×h
So, l×w×h = 936
So, we can find any dimension of the prism provided the the other two dimensions are given to us.
Answer:
r = -189
Step-by-step explanation:
Let's make it easy,
-13=r/9+8
r/9 = -13-8
r/9 = -21
r = -21 × 9
r = -189