Answer:
y = 9.75
Step-by-step explanation:
Since both triangles are said to be similar, the proportion or ratio of the sides of both triangles would be equal.
Therefore, 39/y = 23/5.75 = 35/8.75
Let's find y
39/y = 23/5.75
==>Cross multiply
39*5.75 = 23*y
224.25 = 23y
==>Divide both sides by 23
224.25/23 = y
9.75 = y
y = 9.75
Check:
Thus,
39/9.75 = 23/5.75 = 35/8.75 = 4
Our answer y, which is 9.75, is correct.
Answer:
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:

2) We multiply the numerator by 10 and find the tenth digit:

Then,

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

Then,
And the remainder is:


4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

Then,

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:
Answer:
x = 20 degree
Step-by-step explanation:
Hope this helps u !!
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
...(iii)
Dividing (iii) by (ii), we get


Putting
in (ii), we get



Putting
in (i), we get

The required exponential function for the given table of values is
. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
Answer: 144
Step-by-step explanation: