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2 years ago

Find the area of each. 11) 14 in Help plz

Mathematics

2 answers:

stiks02 [169]2 years ago

7 0

Answer:

The area would be 153.86

Step-by-step explanation:

Since the diameter is 14, the radius would be 7.

The area is pi times the radius squared.

7 squared is 49.

If your using 3.14 for pi, then its 3.14 times 49.

That gives you 153.86.

PtichkaEL [24]2 years ago

5 0

153.83 that’s the answer I hope this help

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In 2009, a diabetic express company charged $38.85 for a vial of type A insulin and $30.34 for a vial of type B insulin. If a

Hoochie [10]

Answer:

The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

Step-by-step explanation:

Let a = number of type A vials.

Let b = number of type B vials.

38.85a + 30.34b = 1695.71

a + b = 50

38.85a + 30.34b = 1695.71

(+) -38.85a - 38.85b = -1942.50

---------------------------------------------------

-8.51b = -246.79

b = 29

a + b = 50

a + 29 = 50

a = 21

Answer: The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

6 0

2 years ago

The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle

Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

$11x+16x+24x = 51x$ feet long. But we know that this is 510 feet, so we have

$51x = 510 \implies x = \cfrac{510}{51} = 10$ .

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if $s$ is half the perimeter of the triangle whose sides are $a,b,c$ , the area $A$ is given by

$A = \sqrt{s(s-a)(s-b)(s-c)}$

In our case, $s = 255, a = 110, b = 160, c = 240$ so the formula becomes

$A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74$

5 0

3 years ago

Write the following series in sigma notation. 7 + 16 + 25 +34 +43 +52 + 61

Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: $\sum\limits^7_{n=1} {9n - 2}$

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

First term, a = 7
Common difference, d = 9
Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7 - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

$\sum\limits^7_{n=1} {9n - 2}$

Read more about arithmetic series at:

brainly.com/question/6561461

3 0

2 years ago

How i can do this step by step If y= (x+3)^2, then (-2x-6)^2

zhenek [66]

$(-2x-6)^2=(-2(x+3))^2=(-2)^2\cdot(x+3)^2=4(x+3)^2=4y$

3 0

2 years ago

Denise bought a box of 560 pieces of candy.4/5 of the pieces of the candy were fruity and 1/4 of the remaining pieces of candy w

Liula [17]

Answer:

Number of Other flavor candy is 84.

Step-by-step explanation:

Given that

A total of 560 pieces of candy are there in the box.

$\frac{4}{5}$ of the pieces are fruity.

Number of Fruity pieces:

$\dfrac{4}{5} \times 560\\\Rightarrow 4 \times 112 =448$

Now, remaining pieces = Total pieces - Fruity pieces

remaining pieces = 560 - 448 = 112

Also given that $\frac{1}4$ of the remaining pieces are mind.

Number of mint pieces:

$\dfrac{1}{4}\times 112 = 28$

Other flavors remaining = Total pieces - Fruity pieces - Mint pieces

Other flavors remaining = 560 - 448 - 28

Other flavors remaining = 112 - 28 = 84

Number of Other flavor candy is 84.

8 0

3 years ago