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3 years ago

I need help with 5! Please and thank you!!

Mathematics

1 answer:

11111nata11111 [884]3 years ago

6 0

Answer:

116.87

Step-by-step explanation:

$c = \pi \: \: r = 2 \times \pi \times 18.6 = 116.87$

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This diagram illustrates an unfolded part of a greeting card,<br> What is its area ?

Fittoniya [83]

The answer is 625 ......

8 0

3 years ago

Solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures

Orlov [11]

Answer:

Either, (9+√69)/6 or (9-√69)/6

Step wise:

3x²-9x+1=0-------------------(i)

comparing equation onw with (ax²+bx+c=0), we get,

a=3, b=-9, c=1

now,

using Quadratic Formula,

(-b±√b²-4ac)/2a=x

{-(-9)±√(-9)²-4.3.1}/2.3=x

(9±√81-12)/6=x

(9±√69)/6=x

Taking +(ve) sign Taking -(ve) sign

(9+√69)/6=0 (9-√69)/6=0

∴(9+√69)/6=0 ∴(9-√69)/6=0

[∵They cannot be further solved]

6 0

3 years ago

jack wants to paint his walls. two walls are 12 ft by 8 ft and two walls are 10 ft by 8 ft. what is the area to be painted? if o

Ksivusya [100]

Answer:

352 ft (squared) , he will need 12 paint cans

Step-by-step explanation:

Two 12 by 8ft walls = 192 ft in area, Two 10 by 8ft walls = 160 ft in Area, that equals 352 ft total, 352/30=11.73 repeated, round up to 12

4 0

2 years ago

How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?

nordsb [41]

Answer:

The number of words that can be formed from the word "LITERATURE" is 453600

Step-by-step explanation:

Given

Word: LITERATURE

Required: Number of 10 letter word that can be formed

The number of letters in the word "LITERATURE" is 10

But some letters are repeated; These letters are T, E and R.

Each of the letters are repeated twice (2 times)

i.e.

Number of T = 2

Number of E = 2

Number of R = 2

To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;

Number of words that can be formed = $\frac{10!}{2!2!2!}$

Number of words = $\frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}$

Number of words = $\frac{3628800}{8}$

Number of words = 453600

Hence, the number of words that can be formed from the word "LITERATURE" is 453600

8 0

3 years ago

Find the focus for y=x^2+4x-7

padilas [110]

ANSWER

$(2,-10.75)$

EXPLANATION

The given function is

$y = {x}^{2} - 4x - 7$

We rewrite this function to obtain,

$(y + 11) = {( x- 2)}^{2}$

We now compare this function to

$(y - k) = 4p {( x- h)}^{2}$

We have

$4p = 1$

This implies that,

$p = \frac{1}{4}$

The vertex is (2,-11).

The focus is

$(2,-11+ \frac{1}{4} )$

$(2,- \frac{43}{4} )$

$(2,-10.75)$

7 0

3 years ago