Answer: The ratio of Mike and Sam Heights are S:M=5:4
Step-by-step explanation:
Ravi is 3/4 as tall as Sam.
Consider the equation is 3/4 *R=S
Mike is 5/3 as tall as Ravi.
Then, the equation is 5/3 *M=R
Solve the two equation to find ratio of mikes and sam height.
3/4*R=S Eq(1)
Rearranging eq (1) for R
R=4/3 *S Eq(3) made from eQ (1)
R=5/3*M Eq(2)
Comparing Eq 2 &3 equations
4/3*S=5/3*M
S/M=(5/3)*(3/4)
S/M=5/4
8/10 = 4/5 = 0.8
Step-by-step explanation:
Step 1 :
The given triangle is a right angle triangle with sides as follows :
AB = 10
BC = 6
AC = 8
And angle C is right angle.
Step 2 :
To find the cosine of the required triangle , we have to divide the length of triangle's adjacent side by the triangle's hypotenuse
Here the adjacent side of the given triangle is 8 and the hypotenuse is 10
So the cosine of the required triangle is 8/10 = 0.8
Answer:
Step-by-step explanation:
Here the given expression is,
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Answer:
nickel = 16
dimes = 32
quarters = 10
Step-by-step explanation:
Given that,
number of coins Zachery have in his piggy bank = 58
total money Zachery have in his piggy bank = $6.50
Suppose number of nickel = x
number of dimes = 2x
number of quarters = y
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
<h3>
Equation 1</h3>
x + 2x + y = 58
3x + y = 58
<h3>
Equation 2</h3>
x(0.05) + 2x(0.10) + y(0.25) = 6.50
0.05x + 0.2x + 0.25y = 6.50
0.25x + 0.25y = 6.50
y = 58 - 3x
<h3>
put value of y in equation 2</h3>
0.25x + 0.25(58 - 3x) = 6.50
0.25x + 14.5 - 0.75x = 6.50
-0.5x = 6.50 - 14.5
-0.5x = -8
x = 16
y = 58 - 3x
y = 58 -3(16)
y =10
number of nickel = x = 16
number of dimes = 2x = 32
number of quarters = y = 10