Answer:
The length of AP will be 14 units.
Step-by-step explanation:
As P is the centroid of ΔABC as shown in question figure.
As the side AB of the triangle has the midpoint D, the side AC of the triangle has the midpoint F and the side BC of the triangle has the
midpoint E.
Hence, CD, BF and AE being medians of ΔABC.
The point of intersection of these medians will be the centroid of the triangle. Hence, P is the centroid of ΔABC
According to rule, the centroid point of the triangle ΔABC divides each median into two segments in the ratio 2 : 1.
So,
As the value of AE = 21
So,
AP = 14
So, the length of AP will be 14 units.
Keywords: centroid, triangle
Learn more about the centroid of triangle from brainly.com/question/7722758
#learnwithBrainly
Yes they do becuase
$15 divided by 2 equals $7.50
Then you do 5 times $7.50 and your anwser is $37.50
They total unit cost for each is $7.50
We have
(a + b)² = a² + 2ab + b²
so that with a = x² and b = 5, we have
x⁴ + 10x² + 25 = (x² + 5)²
Next, we have
a² - b² = (a - b) (a + b)
so that with a = x and b = √5 i,
x² + 5 = x² - (-5) = (x - √5 i) (x + √5 i)
So, the complete factorization over the complexes is
(x - √5 i)² (x + √5 i)²
Answer:
x (Fancy Gold fish) = 3
y (Common goldfish) = 29
Step-by-step explanation:
Fancy goldfish x cost $3 each
common goldfish y cost $1 each
Graph: y = 20 + 3x (I'm hoping this is the correct line equation, please do leave a comment below if it's not)
Thus, we graph it by subtitude either the x or y values. (Or you can use just X = 1,2,3).
Now, to find how many of each type of goldfish Tasha can buy. We subtitude the line equation by either using x = 3 or y = 1
Using either values to solve the equation, we get:
x = 3
y = 29
Hope this helps!
Answer:
Height of the object is 68.6 cm.
Step-by-step explanation:
The height of the object can be determined by:
= 
From the given question;
object distance from pinhole = 3.6 m = 360 cm
image distance from pinhole = 4.2 cm
height of image = 0.8 cm
So that;
= 
⇒ object height = 
= 
= 68.571
object height = 68.6 cm
Thus, the height of the object is 68.6 cm.
