Answer:
1200..............................
Answer:
63,960 possibilities in total.
Step-by-step explanation:
For the first number, you can choose from 41 different numbers, so there are 41 possibilities.
For the second number, you cannot choose the same as the first one, so you are now limited to 40 possibilities.
For the third number, you are down to 39 possibilities since you cannot pick the same as the first two ones.
So, you have 41 * 40 * 39 = 63,960 possibilities in total.
Picking a new combination is easy... remembering it is the hard part :-)
If you want to calculate it from a formula standpoint, the base formula would be:
Where n is the total numbers possible and r is the quantity of numbers you have to pick.
Answer:
The measures of the angles of the triangle are 96° , 36° and 48°.
Step-by-step explanation:
The ratios of the angles of a triangle = 8 : 3 : 4
Let x be the common factor in the ratio.
⇒The angles of the triangle is 8 x, 3 x and 4 x.
Now, By ANGLE SUM PROPERTY of a triangle:
Sum of all interior angles of a any given triangle is always 180°.
So, here 8x + 3x+ 4x = 180°
or, 15x = 180°
or, x = 180° / 15 = 12
⇒ x = 12
So, the <u>first angle</u> of the triangle = 8x = 8 x 12 = 96°
<u>Second angle</u> of the triangle = 3x = 3 x 12 = 36°
<u>Third angle</u> of the triangle = 4x = 4 x 12 = 48°
Answer: Yes
Step-by-step explanation:
First, you should find out what 20% of 800 is. Set it up as the following equation:
x/800=20/100
This is because we are trying to set up an equivalence ratio. To solve it, cross multiply (multiply 800 by 20 and 100 by x)
You would end up with:
16000=100x
Divide by 100 and you'll get:
x=160.
If you add 160 to the original budget of 800, you would get 960. This is 10 dollars over the minimum price, so the answer is yes.
F(x) = 2x^2 + 2
f(5) = 2(5^2) + 2
f(5) = 2(25) + 2
f(5) = 50 + 2
f(5) = 52