Answer:
I think the reference ratio given is wrong so the right one is
8:508:508:5
Step-by-step explanation:
Given that,
8:58:58:5
We want to find which of the option is equivalent to the given ration
Option A.
16:1016:1016:10
Divide each of the ration by
Then,
16÷2:1016÷2:1016÷2:10÷2
8:508:508:5
Option B
50:8050:8050:80
Divide through by 10
50÷10:8050÷10:8050÷10:80÷10
5:805:805:8
Option C
48:3048:3048:30
Divide through by 6
48÷6:3048÷6:3048÷6:30÷6
8:508:508:5
Option D
32:2032:2032:20
Divide through by 4
32÷4:2032÷4:2032÷4:20÷4
8:508:508:5
Option E
64:3564:3564:35
Divide through by 8
64÷8:3564÷8:3564÷8:35÷8
This doesn't have a factor
So the ratio still retain
64:3564:3564:35
So to analyse the solution,
I believe the reference ratio given is wrong, so I think the reference ratio about be 8:508:508:5
So, from the option, the equivalent to the given ratio are options A, C, and D
Answer:
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
3
)
2
Add the term to each side of the equation.
x
2
−
6
x
+
(
−
3
)
2
=
22
+
(
−
3
)
2
Simplify the equation.
Tap for more steps...
x
2
−
6
x
+
9
=
31
Factor the perfect trinomial square into
(
x
−
3
)
2
.
(
x
−
3
)
2
=
31
Solve the equation for
x
.
Tap for more steps...
x
=
±
√
31
+
3
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
31
+
3
Decimal Form:
x
=
8.56776436
…
,
−
2.56776436
…
Step-by-step explanation:
thats took a while lol
Answer:
c
Step-by-step explanation:
Okay, you will need to use the law of cosines for this problem.
The Law of Cosines states (in this case): a^2 = b^2 + c^2 - 2 * b * c * cos A, where "a" is the side opposite angle A (7 inches), and b and c are the other two sides.
Plug the numbers in and you get: 7^2 = 5^2 + 9^2 - 2 * 5 * 9 * cos A, or:
49 = 25 + 81 - 90 * cos A.
Subtract (25 + 81) from both sides to get:
-57 = -90 * cos A.
Divide by -90 on both sides:
cos A = 19/30
To find A, you do the inverse trigonometric function to get:
cos^-1 of (19/30) = A.
I don't have a calculator that can do this right now, but if you plug the left side of the above equation into it (make sure it is in degrees, not radians), you should get A.
Answer:
Step-by-step explanation:
From the answer choices available the answer that is correct is that for day-to-day business data analysis, most firms rely on a large staff of expert statisticians. This is because on a daily basis firms receive large sets of data from all of their business movements, therefore a large staff of highly experienced individuals is needed in order to handle and document all of these numbers carefully so that no mistakes are made. The smallest mistake in the firm's financial accounts can lead to a very costly loss for the company.
