Answer:
1.08T/ (1+8/100)T
Step-by-step explanation:
There is an easier way instead of doing 0.08 of t and then adding. You can do 108% of t which immediately gives the answer.
Hope this helps:)
Answer:
The first number is <u>18</u> and the second number is <u>27</u>.
Step-by-step explanation:
Given:
A first number is nine less than a second.
The sum of the numbers is 45.
Now, to find the numbers.
Let the second number be 
And the first number be 
The sum of the both numbers is 45.
According to question:

⇒ 
⇒ 
<em>Adding both sides by 9 we get:</em>
⇒ 
<em>Dividing both sides by 2 we get:</em>
⇒ 
<u><em>The second number = 27</em></u>.
Now, to get the first number we put the value of
:



Therefore, the first number is 18 and the second number is 27.
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
Answer:
We get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle
Step-by-step explanation:
we have ∠A = (2x − 30)° and ∠B = 4x, and we need to find measure of larger angle. And ∠A and ∠A are supplementary angles.
If the angles are supplementary there sum is equal to 180° i.e ∠A + ∠B = 180°
So, First we have to find the value of x. and then we can determine larger angle.
We know: ∠A + ∠B = 180
2x-30+4x=180
6x-30=180
6x=180+30
6x=210
x=210/6
x=35
So, value of x is x=35
Now finding ∠A and ∠B
∠A = (2x − 30)°
∠A = (2(35) − 30)°
∠A = (70 − 30)°
∠A =40°
and ∠B = 4x
∠B = 4(35)
∠B = 140°
So, we get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle
Answer:
slope is 2
Step-by-step explanation:
slope is m= y2-y1/x2-x1= 19-11/-9+13= 8/4=2