Pythagorean Theorem: a^2 + b^2 = c^2
-A and B are legs of the triangle
-C is the hypotenuse
#1.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
#2.
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
#4.
10^2 + 4^2 = c^2
100 + 16 = c^2
116 = c^2
c = 
#5.
15^2 + 9^2 = c^2
225 + 81 = c^2
306 = c^2
c = 
#6.
120^2 + b^2 = 150^2
14400 + b^2 = 22500
b^2 = 8100
b = 90
#7.
144^2 + b^2 = 194^2
20736 + b^2 = 37636
b^2 = 16900
b = 130
Hope this helps!! :)
Answer:
Venus fly trap = 12
Bonsai tree = 17
Step-by-step explanation:
Given that :
Venus fly trap = $3per plant
Bonsai tree = $5 per plant
Number of plants sold = 29
Total cost of plant sold = $121
Let venus fly trap = x ; bonsai tree =y
x + y = 29 ___ (1)
3x + 5y = 121 ____(2)
From (1) :
x = 29 - y
In (2):
3(29 - y) + 5y = 121
87 - 3y + 5y = 121
87 + 2y = 121
2y = 121 - 87
2y = 34
y = 34/2
y = 17
x = 29 - 17
x = 12
Hence,
Venus fly trap = 12
Bonsai tree = 17
Answer:
a) area = side²
225 in² = side²
side = √225 = 15 inches
b) 15 inches per side x 4 sides x $1.35 per inch = $81.00
Step-by-step explanation:
Answer:
$27.12
Step-by-step:
So, we first need to learn how much money the tax is. We can find it like this
8.5 8.5x12.50
------ x 12.50 = ----------------
100 100
106.25
= ------------- = 1.0625 ~~ $1.06
100
The tax is $1.06
So now, the only thing left is to add
12.50 + 1.06 = $13.56
13.56x2 = $27.12 (for both gifts)
In total, both gifts cost $27.12 with tax.
In total, both gifts cost
