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3 years ago

Please Answer Quick!!! Will Give Brainliest!!!

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

Answer:

1. 18.84cm

2. 10 Pennies

Step-by-step explanation:

Question 1:

Circumference Formula = 2 x π x radius

We will substitute π for 3.14 so the circumference = 2 x 3.14 x radius

The radius is 3 so the circumference = 2 x 3.14 x 3

2 x 3.14 x 3 = 18.84cm

Question 2:

20% as a decimal is 0.2

To find the answer just find 20% of 50

50 x 0.2 = 10

Therefore 10 pennies were minted before 2000

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PLZZZZ HELP MEEEE

Yuki888 [10]

X=3
r<span>≥8
n=6
Plug the answers in until you get on that fits the best.</span>

3 0

3 years ago

Read 2 more answers

The volume of water and a rectangle swimming pool can be modeled by the function v(x)=x^3+13x-210. If the depth of the pool is g

S_A_V [24]

Answer:

Required,

$L=\frac{3+\sqrt{37}}{2}-\frac{144}{x-3}$

$W=\frac{3-\sqrt{37}}{2}-\frac{144}{x-3}$

Step-by-step explanation:

Given volume and depth respectively,

$V(x)=x^3+13x-210$ and $x-3$

To find length and width of the rectanglular swiming pool we know,

Volume=length $\times$ height $\times$ depth.

Let depth=D=x-3, length=L, width=W, then

$V=DLW$

$x^3+13x-210= LW(x-3)$

$LW=\frac{x^3+13x-210}{x-3}$

After divide we will get $x^2-3x-22$ with remainder -144.

Thus,

$x^3+13x-210=(x^2-3x-22)(x-3)-144=(x-3)LW$

Now to find root of,

$x^2-3x-144=\frac{3\pm\sqrt{9+88}}{2}=\frac{3\pm \sqrt{37}}{2}$

Thus,

$L=\frac{3+\sqrt{37}}{2}-\frac{144}{x-3}$

$W=\frac{3-\sqrt{37}}{2}-\frac{144}{x-3}$

5 0

3 years ago

Anita took 1/6 of a cake and Barry took 60% of what remained. What fraction of original cake is left. Explain full method.

Sedaia [141]

The cake = 1
1-1/6=5/6
60% as a fraction =3/5
5/6-3/5
25/30-18/30
7/30
There are 7/30 of the original cake left.

Hope this helps :)

8 0

3 years ago

Read 2 more answers

The pie chart below illustrates the future plans of 200members of St.Thomas graduating class.

ruslelena [56]

Answer:

<h2>a) approximately 133 graduates</h2><h2>b) approximately 120°</h2>

Step-by-step explanation:

a) the number of graduates planning to continue studying :

= (37 1/2% + 12 1/2% + 16 2/3%) × 200

$=\frac{\left( 37\frac{1}{2} +12\frac{1}{2} +16\frac{2}{3} \right) }{100} \times200$

= (37.5 + 12.5 + 16.666666666667)×2

= 133.333333333334

…………………………………

b) the measurement of the angle representing those who plan to work :

= (360× 33 1/2)÷100

= (360× 33.333333333333)÷100

=119.999999999999

8 0

2 years ago

Find each f(c) using synthetic substitution. f(x) = –x7 + 4x6 – 4x5 – 6x4 – 3x3 – 6x2 – x – 2; c = –5

zmey [24]

Answer:

Step-by-step explanation:

<u>Synthetic Substitution</u>

It's a method to find the value of a polynomial for a given value of x. The polynomial we want to evaluate is

$f(x) = -x^7 + 4x^6 - 4x^5 - 6x^4 - 3x^3 - 6x^2 - x - 2$

at x=-5

We can, of course, just replace x for -5 and compute the powers, products and sums and subtractions, but we can use the synthetic substitution to avoid the powers, just by multiplying and adding or subtracting. The method requires us to use only the coefficients of the ordered and complete polynomial as shown:

-1 4 -4 -6 -3 -6 -1 -2

Now we set up an arrangement where we can place some operations

-1 4 -4 -6 -3 -6 -1 -2

-5

The second row and a new third row will be filled by computing values as explained below.

The first value of the third row is the very same first coefficient (-1)

-1 4 -4 -6 -3 -6 -1 -2

-5

-1

The second value of the second row is the -5 times the first value of the third row: (-5)(-1)=5

Next value of the third row is the sum of the values above of it: 4+5=9

-1 4 -4 -6 -3 -6 -1 -2

-5 5

-1 9

Now we proceed the same with next values to get the full arrangement or synthetic substitution

-1 4 -4 -6 -3 -6 -1 -2

-5 5 -45 245 -1195 5990 -29920 149605

-1 9 -49 239 -1198 5984 -29921 149603

The very last value of the third row is the required substitution

f(-5)=149603

The formatted table can be seen in the image below

5 0

4 years ago