Answer:
10.
here,
h=c
b=5
p=12
,we know that,
h²=b²+p²(pythagoras theorum )
c=5²+12²
c=25+144
c=169
hence the value of c is 169.
That question is simple;
314+10 = 324
the answer would be 324
Answer:
Arithmetic sequence
f(n) = 5n + 2
Step-by-step explanation:
f(1) = 7
f(2) = 7 + 5
f(3) = 7 + 5 + 5 = 7 + (2)(5)
f(n) = 7 + (n-1)(5)
f(n) = 7 + 5n - 5
f(n) = 5n + 2
9514 1404 393
Answer:
168 cubic inches
Step-by-step explanation:
The formula for the volume of a pyramid is ...
V = (1/3)Bh
where B is the area of the base, and h is the height.
The base is a rectangle, whose are is given by the formula ...
A = LW
A = (8 in)(7 in) = 56 in²
Then the pyramid volume is ...
V = (1/3)(56 in²)(9 in) = 168 in³
The volume of the pyramid is 168 cubic inches.
Karen has $30, Rafael has $75 and Shen has $25.
Step-by-step explanation:
Given,
Total amount they have = $130
Let,
Amount of Karen = x
Amount of Rafael = y
Amount of Shen = z
According to given statement;
x+y+z=130 Eqn 1
Shen has $5 less than what Karen have.
z = x-5 Eqn 2
Rafael has 3 times what Shen has;
y = 3z Eqn 3
Putting value of z from Eqn 2 in Eqn 3

Putting value of y and z from Eqn 4 and 2 in Eqn 1

Dividing both sides by 5

Putting x = 30 in Eqn 2

Putting z=25 in Eqn 3

Karen has $30, Rafael has $75 and Shen has $25.
Keywords: linear equations, substitution method
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