Answer:
For right angle triangle,
we use Pythagoras theorem that is:
c = 
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = 
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = 
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,
1225 = 400 + 
= 1225 - 400
= 825
b = 5 
For question 4:
c = 37
a = 20
b = ?
putting them in formula,
1369 = 400 +
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
\left[x _{2}\right] = \left[ 6+\sqrt{33}\right][x2]=[6+√33]
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
Hello!
In a box plot, the edges of the box represent the lower and upper quartiles. The line dividing the box is the median. The left whisker goes from the minimum to the lower quartile, and the right whisker goes from the upper quartile to the maximum.
First, let's see the box. The lower quartile is 44. The upper quartile is 64. This means the box will go from 44 to 64.
Therefore, our answer is A) the box will go from 44 to 64.
I hope this helps!
