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Alekssandra [29.7K]
3 years ago
6

320÷b∙20 and 320÷(b∙20) for b=4

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

Step-by-4vttbrbwtetbb4tbtb44tny4ny4nyn4tbryn4y

step explanation:

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4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p
cricket20 [7]

Answer:

Point E is given by \left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Step-by-step explanation:

Let points C and D be (x_0,y_0),\,(x_1,y_1) and let point E divides it in ratio m:n.

Then coordinates of point E are given by \left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )

Put m:n=3:4

Point E is given by \left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Now plot point E.

Download pptx
3 0
3 years ago
Given AB is tangent to circle C at point B, what is the circumference of circle C?
faltersainse [42]

<u>Given</u>:

Given that AB is a tangent to circle C.

The length of AB is (2r -1)

The length of AC is (r + 1) + r

The length of BC is r.

We need to determine the circumference of the circle C.

<u>Value of r:</u>

The value of r can be determined using the Pythagorean theorem.

Thus, we have;

AC^2=AB^2+BC^2

Substituting the values, we have;

[(r+1)+r]^2=(2r-1)^2+r^2

Simplifying, we have;

(2r+1)^2=(2r-1)^2+r^2

Expanding the terms, we get;

4r^2+4r+1=4r^2-4r+1+r^2

4r^2+4r+1=5r^2-4r+1

Simplifying the values, we have;

4r=-4r+r^2

Adding both sides of the equation by 4r, we get;

8r=r^2

 0=r^2-8r

 0=r(r-8)

Thus, r=0 \ or \ r=8

Since, the radius of the circle cannot be 0.

Hence, the radius of the circle is 8.

<u>Circumference of the circle:</u>

The circumference of the circle can be determined using the formula,

C=2 \pi r

Substituting r = 8, we get;

C=2 \pi (8)

C=16 \pi

Thus, the circumference of the circle is 16π

Hence, Option A is the correct answer.

5 0
3 years ago
Can you help me in this question?
Xelga [282]

Answer:

100+150DHS

Step-by-step explanation:

100 base and 150 is the rate per a day

3 0
3 years ago
The bells at Kings School ring every 6 minutes. At Queens School the bells ring every 5 minutes. At Princess School the bells ri
Mamont248 [21]
The bells will ring together again at 10:00am I believe.
7 0
3 years ago
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Arnoldo needs to write this system in slope-intercept form. Which shows how he could do that? 3 x minus 2 y = 6. 0.4 (20 y + 15)
kotegsom [21]

Answer:

  y = three-halves x minus 3

Step-by-step explanation:

Subtract 3x from both sides of the original equation.

  -2y = -3x +6

Divide by -2

  y = 3/2x -3

4 0
3 years ago
Read 2 more answers
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