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3 years ago

Which system of equations below can be used to solve the following problem?

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

1. Find the area part of the equation.

Area is base×height, so if we substitute 8 as the base and w as the height, A=8w

2. Find the perimeter of the equation.

Perimeter of a rectangle is 2(base + height), so in this case, it will be

P=2(8 + w), or C.

You might be interested in

Quadrilateral ABCD is a a square and the length of BE is 6 cm. What is the length of AC?

Aloiza [94]

The answer is: 12 centimeters.

The explanation is shown below:

1. By definition, all four sides of the square are equal and the diagonals are equal too.

2. Keeping the information above on mind, you know that AC and BD are equal:

$AC=BD$

3. Then, the length of BD is twice BE. So, you can calculate it as following:

$BD=2BE$

$BD=2(6cm)\\BD=12cm$

4. Therefore, the lenght of AC is:

$AC=12cm$

5 0

3 years ago

An artist purchased 24 high quality canvases to be used for painting this fall. Each week she will allow herself to use three of

Nadusha1986 [10]

Answer:

canvases over weeks

Step-by-step explanation:

Given:

w(h) represents how many hours per week

c(t) approximates how many canvases she paints per hour

In function composition, if we have two function f(x) and g(x) then

(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g.

Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas per week!

8 0

3 years ago

If sin theta = -0.7660, which of the following represents an approximate value of tan theta, for 180 degrees < theta < 270

Elis [28]

We have that
sin ∅=-0.7660

the sin ∅ is negative
so
∅ belong to the III or IV quadrant
but
180°< ∅ < 270°
hence
∅ belong to the III quadrant
sin ∅=-0.7660
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅------> cos² ∅=1-(0.7660)²-----> 0.4132
cos ∅=√0.4132-----> cos ∅=0.6428
the value of cos ∅ is negative-------> III quadrant
cos ∅=-0.6428

tan ∅=sin ∅/ cos ∅----> tan ∅=-0.7660/-0.6428----> tan ∅=1.1917

the answer is
tan ∅ is 1.1917

4 0

3 years ago

(02.06)A local store has a puppy that weighs 56 ounces. How many pounds does the puppy weigh, given that 1 pound = 16 ounces? (I

viktelen [127]

The answer should be 3.5 pounds. You divide 56 by 16 to get your answer

3 0

3 years ago

You don't need to construct a Venn Diagram, it is just part of the instruction. Just determine whether or not the argument is va

icang [17]

Answer:

It is valid.

Venn Diagram is attached.

I also provided a truth table.

I also provided a couple of names this argument could be called.

Please let me know if you have any questions about this question.

Thank you kindly.

Step-by-step explanation:

If a person is a poet, then that person is a loner.

If a person is a loner, then that person is a taxi driver.

If a person is a poet, then that person is a taxi drive.

This is in the form:

p->q

q->r

Therefore, p->r.

This is an example of a hypothetical syllogism.

The first thing my mind goes to when seeing this is the transitive property which says if A is related to B and B is related to C then A is related to C.

So this syllogism also has another name and it is called the principle of transitivity of implication.

Let p=person is a poet, q=person is a loner, and r=person is a taxi driver.

I'm going to make a truth table and compare the truth values of the propositions to the conclusion.

Since we have 3 variables, we are going to need 2^3=8 rows.

p q r p->q q->r (p->q) and (q->r) conclusion=(p->r)

T T T T T T T

T T F T F F F

T F T F T F T

T F F F T F F

F F F T T T T

F F T T T T T

F T F T F F T

F T T T T T T

So we are trying to see if we ever have the preposition part true and the conclusion false.

That doesn't happen so the argument is valid.

5 0

3 years ago