Use what you know about decomposing fractions to write 11/10 as a mixed number

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Answer:

11/10 as a mixed number is 1 and 1/10

Step-by-step explanation:

10 out of 10 is 1 but there is still another tenth that needs to be added so it is 1 and one tenth.

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What is the simplest form of the expression 6x(x-4)-16x^2-(9x-1)?

statuscvo [17]

Answer:

-10x^2-33x+1

Step-by-step explanation:

=>6x(x-4)-16x^2-(9x-1)

multiply 6x with (x-4) and multiply - with (9x-1).

= 6x^2-24x-16x^2-9x+1

arrange the like terms with same powers of x with the respective sign.

= 6x^2-16x^2-24x-9x+1

simplify by using the respective arthematic operations.

= -10x^2-33x+1

8 0

3 years ago

A 15-ft ladder is propped against a vertical wall and makes a 72 ̊ angle with the ground. How far is the foot of the ladder from

murzikaleks [220]

We first approach this problem by illustrating the situation. Refer to the diagram attached.

From the diagram, we can clearly see that we need to simply solve for the length marked x in order to find the distance between the foot of the ladder to the base of the wall.

Remember SOHCAHTOA. We can apply here the concept of cosine since we have the angle. Incorporationg x into the equation, we can simply make use of the relation cosine 72° = adjacent/hypotenuse.

$cos(72deg)= \frac{x}{15}$
$15cos(72deg)=x$
$x=4.6$

ANSWER: The distance between the foot of the ladder and the base of the wall is 4.6 feet.