Wood trim cost $0.28 per foot of length. How much does a trim cost that is 6 feet?

Lines q and r are parallel. What is the value of x

Nikolay [14]

Answer: X would be the value that both parallele lines share in common.

6 0

2 years ago

which inequality models this problem? josephine started a business selling cosmetics. she spent $4500 to obtain her merchandise,

Alenkinab [10]

Answer:

Here u go lil bro,

550w>4500+200w

Explanation:

Since she earns $550 per week, Josephine's earnings can be represented as 550w, where w is the number of weeks.

Her costs are $200 per week, or 200w, plus the 4500 start up costs; this gives us 200w+4500.

We want a profit; this means the amount she earns, 550w, must be greater than the costs, 200w+4500:

550w > 200w + 4500, or

550w > 4500 + 200w

3 0

3 years ago

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Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle

Mekhanik [1.2K]

The height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

<h3>What is right angle triangle property?</h3>

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

$\tan\theta=\dfrac{b}{a}$

Here, (b) is the opposite side, (a) is the base side.

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence.

The angle of elevation of the tree from one position on a flat path from the tree is

$H=40^o$

From a second position,

$I=60\rm\; ft$

Farther along this path it is,

$b=30^o$

Let the distance between tree and first position is x. Thus, from the trigonometry,

$\tan 40=\dfrac{h}{x}\\h=x\tan 40$ ....1

The distance between tree and second position is (x+60) ft. Thus, again from the trigonometry,

$\tan 30=\dfrac{h}{x+60}\\h=(x+60)\tan 40$ ......2

Compare the equation 1 and 2,

$x\tan (40)=(x+60)\tan 30\\0.839x=0.577x+34.64\\0.839x-0.577x=34.64\\x=\dfrac{34.64}{0.262}\\x=132.25\rm\; ft$

Put this value in equation 1 as,

$h=(132.25)\times \tan40\\h\approx111\rm\;ft$

Thus, the height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

Learn more about the right angle triangle property here;

brainly.com/question/22790996

#SPJ1

7 0

2 years ago

For how many integers $n$ does the inequality $x^2 + nx + 15 < 0$ have no real solutions $x$?.

Rom4ik [11]

By making the determinant equal to or smaller than zero, we will see that there are 15 values of n such that the inequality has no real solution.

<h3>Solving the inequality:</h3>

Here we have the inequality:

x^2 + n*x + 15 < 0

We want to see for which values of n we don't have real solutions.

Now, we can write the quadratic equation:

y = x^2 + nx + 15.

If the determinant of this quadratic equation is negative or 0, then we have a single root or we don't have roots, and because the leading coefficient is positive, that would mean that the function never becomes negative. Then for these cases, the inequality has no real solutions.

Then we must have:

n^2 - 4*15*1 ≤ 0

Now we can solve this for n.

n^2 ≤ 60

Then if n^2 is smaller than 60, we don't have real solutions, and we know that:

√60 = 7.75

Then we have:

-7.75 ≤ n ≤ 7.75

But n can only be an integer, so we can write:

-7 ≤ n ≤ 7

From -7 to 7 there are 15 integers, then there are 15 values of n such that the inequality has no real solutions.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

3 0

2 years ago

Hi please help with this science question but im just puting it for sat and also im in 6th grade and not the age it says

serg [7]

Answer:

D. Molten

Explanation:

3 0

3 years ago

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