Answer:
7 1/2
Step-by-step explanation:
First remember the rule to multiply fractions, you gots to have fractions; so convert 1 1/4 into a mixed number. To do this, multiply 1 by 4, then add 1. It equals 5/4.
Next multiply 5/4 by 6. You can "cross simplify" to make this problem easier and you will the the simplest form. To cross simplify, divide 6 and 4 by 2. The new thing is 5/2 times 3. This equals 15/2.
Divide but don't turn into decimal. 7 remainder 1 the divisor is 2.
Put them together 7 1/2
Final answer 7 1/2
Hope this helps
Answer:

h=
Step-by-step explanation:
Please see the attached image. It is a good idea it to memorize these triangle properties because you will definitely use them in the future.
c=
h=
Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,

Substituting
,
and 
Hence, we get,

Simplifying, we have,

Multiplying both sides by 41, we have,

Rounding off to the nearest integer, we have,

Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.
The coordinate is an ordered pair

. We have a number, 5, for y, which we can substitute (plug-in) for y in the equation of the line and solve for x.

Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>

(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:

Collect like terms and subtract 4 from both sides:

Complete the square for both variables by adding the square of half of the coefficient of
and
to both sides:


Factor both variables:

Therefore:
- center = (-2, 6)
- radius = √36 = 6