Set up the equation:
4(8.75x-2)=97
35x-8 =97
35x =97+8
35x =105
x. =3
The value of x is 3.
Answer:
Martina is 53 inches tall.
Step-by-step explanation:
In order to write an expression that relates the siblings heights we need to attribute variables to each brother. First we will call Martina's height as "m", then we can call her little brother's height as "b". The problem states that Martina's height is 3 inches less than twice the height of her brother so we have:
m = 2*b - 3
Then the problem gives us the height of her brother that is 28 inches tall, so b = 28. We can now compute Martina's height:
m = 2*28 - 3 = 56 - 3 = 53 inches.
Answer:
$243.30
Step-by-step explanation:
40.55 * 6 = 243.3
= $243.30
We have been given that
and angle A is in quadrant 1. We are asked to find the exact value of
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.

This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.

Now we will find adjacent side using Pythagoras theorem as:




Let us take positive square root on both sides:

Therefore, adjacent side of angle A is 5 units.

Therefore, the exact value of cot A is
.
The exact calculations:
Principal, P=3000
interest rate = 33% per year
Period, t=10 years
Future value



Interest
= future value - principal
= 81337.92-3000
=
78337.92 (to the nearest cent)