Answer:
A ≈ 5.6
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = 
× PQ × PR × sin P
= 0.5 × 5.2 × 2.8 × sin50°
≈ 5.6 ( to 1 dec. place )
Answer:
True
Step-by-step explanation:
They are the same but different sizes.
Answer:
And we know that the level is decreasing 20% each day so then we can use the following model for the problem
Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:
Step-by-step explanation:
For this case we know that the initial volume of water is:
And we know that the level is decreasing 20% each day so then we can use the following model for the problem
Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:
Answer:
D. For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
Step-by-step explanation:
The complete question is:
<em>Point A is at –4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio? </em>
- In a 3:2 ratio there are 3 + 2 = 5 equal parts.
- The distance between points A and B is: 6 - (-4) = 6 + 4 = 10 units.
- Each equal part is 10/5 = 2 units.
- Point 2 is at 2 - (-4) = 6 units from -4
- Point 2 is at 6 - 2 = 4 units from 6
- Ratio 6:4 is equivalent to ratio 3:2
Answer:
(x,y)→(x+5,y) will be congruent; (x,y)→(5x,5y) will not be congruent; (x,y)→(0.5x, 0.5y) will not be congruent; (x,y)→(x,-y) will be congruent; (x,y)→(-x,-y) will be congruent.
Step-by-step explanation:
The types of translations that result in congruent images are translations or slides; reflections; and rotations.
Translations will add to the x- and y-coordinates; this is why the first transformation is congruent.
Reflections will negate one or more of the coordinates; this is why the fourth and fifth transformations are congruent.
The remaining two are dilations; these are stretches or shrinks that occur when the coordinates are multiplied by a number other than 1. These change the size of the figure, which is why they are not congruent.
