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3 years ago

47/7 as a mixed number in siplest form

2 answers:

7 0

For this fraction, you would have to see how many times 7 goes into 47. So, 6 times as 7 times 6 is 42. Subtract 42 from 47, and this would be your remainder:

6 $\frac{5}{7}$

Lapatulllka [165]3 years ago

5 0

47/7

7 into 47 is 6 times.

6*7 is 42, that means 5 is left from the 47.

47/7 = 6 and 5/7

So as a mixed fraction = 6 5/7

Hope this explains it.

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Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

3 years ago

A ladder leaning against a building makes an angle of 65 degrees with the ground and reaches a point on the building 20 feet abo

lesya692 [45]

22 feet. Using the sine rule theory: 20/sin(65)=x/sin(90). You know that it's 90 degrees because you assume the ground and the building make a 90 degree angle. So, you cross multiply and get 20sin(90)/xsin(65) and solve for x.

5 0

3 years ago

John has 260 apples. 1/2 of the apples are green and 1/4 of the apples are bad. The rest of the apples are red. How many red app

chubhunter [2.5K]

Answer:

Step-by-step explanation:

1/2 which is half of total is green

1/4 is bad and the remaining apples are red

1/2 of 260 = 130 green apples

1/4 of 260 = 65 bad apples

the remaining is 1/4 which is equal to 65 are red apples

7 0

3 years ago

Read 2 more answers

Find the simple interest of 600 Naira for 1 whole number 1 over 2 years at 3 whole 1 over 6 % per annum

Butoxors [25]

Answer:

₦28.5

Step-by-step explanation:

$interest = \frac{600 \times 1.5 \times 3 \frac{1}{6} }{100}$

7 0

2 years ago

Factor the following expression:<br><img src="https://tex.z-dn.net/?f=6x%5E5-11x%5E4-10x%5E3-54x%5E3%2B99x%5E2%2B90x" id="TexFor

nataly862011 [7]

Answer:

(3x+2)(2x-5)(x³ -9)

Step-by-step explanation:

I like to use a graphing calculator to assist with factoring higher-degree polynomials. This polynomial has roots at -2/3, +5/2, and an irrational number near 2.08. The factors corresponding to the rational roots are (3x +2) and (2x -5).

Polynomial long division or synthetic division can be used to divide these out.

In each case, the divisor has a coefficient other than 1, so both dividend and divisor polynomials need to be divided by that coefficient before proceeding with synthetic division. (That is why there are fractions in the tableaux.)

The result is that the factorization in integers is ...

$6x^5-11x^4-10x^3-54x^2+99x+90=\bf{(3x+2)(2x-5)(x^3-9)}$

_____

The irrational roots are the three cube roots of 9, two of which are complex.

_____

Any of several different algorithms can tell you that the real roots will lie in the interval [-6, 6] or smaller. The rational roots will be of the form ...

±(divisor of 90)/(divisor of 6)

7 0

3 years ago