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ozzi
4 years ago
11

Write each of the following expressions without using the absolute value sign. |x−4| if x>4. PLEASE INCLUDE EXPLANATION!!!

Mathematics
1 answer:
kotykmax [81]4 years ago
3 0
The answer is 3.141529

<span>I'm right.</span>
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Calculate the area of the regular pentagon below: A regular pentagon with side length of 11.8 inches and dotted line from center
vlada-n [284]

Answer:

Area of regular pentagon is 238.95 square inches.

Step-by-step explanation:

Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.

we know a regular polygon divides into 5 congruent triangles.

Side of pentagon i.e base of one triangle is 11.8 inches.

Also, distance from center to middle of side which is height of triangle is 8.1 inches.

Area of 1 triangle= \frac{1}{2}\times base\times height

                           =  \frac{1}{2}\times 11.8\times 8.1

                           = 47.79 sq inches.

Area of regular pentagon=area of 5 congruent triangles= 5\times 47.79=238.95 sq inches.

5 0
3 years ago
Is this correct? (Image below). If not, what is the right answer?!?!
ahrayia [7]

Answer:

You're correct great job!

8 0
3 years ago
Read 2 more answers
If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
nata0808 [166]

Answer:

price of 23 toys=Rs276

price of 1 toys=Rs276/23 =Rs 12

price of 12 toys = Rs 12*12 =Rs 144

3 0
3 years ago
The concentration C (in mg/dl), of an antibiotic in a patient’s bloodstream per hour, t, is given by: c(t) = (50t)/(t^2+25) In o
NARA [144]

Answer:

Step-by-step explanation:

<u>Functions </u>

The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:

\displaystyle c(t)=\frac{50\ t}{t^2+25}

We need to find the first value of t such that

\displaystyle c(t)\geq 4

It means that

\displaystyle \frac{50\ t}{t^2+25}\geq 4

Operating with the inequality

\displaystyle 50\ t\geq 4\ t^2+100

Rearranging and dividing by 2, we have a polynomial inequality:

\displaystyle 2t^2-25t+50\leq 0

Factoring

\displaystyle 2(t-10)\left (t-\frac{5}{2}\right )\leq 0

There are two possible values for t, both valids because they are positive

\displaystyle t=\frac{5}{2}=2.5, \ t=10

We need to find the first value, i.e.

t=2.5 \ hours

Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.

The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values

4 0
3 years ago
I saved $360 for one year.the bank paid me 20% interest.how much do i now have
Ann [662]
You have 360+360*20%=360+360*20/100=360+72
So you have 432
4 0
3 years ago
Read 2 more answers
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