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3 years ago

Complete the sentence.

Mathematics

2 answers:

Contact [7]3 years ago

7 0

Answer:

Step-by-step explanation:

8/10 = 16/x

x=20

Amanda [17]3 years ago

5 0

Answer:

20 games in total

Step-by-step explanation:

16x100=1600

100 = Since its 80% out of 100%

1600 Divide by 80% = 20

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Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

3 years ago

8(8p+8)=640 solve Answer ASAP please

Ede4ka [16]

Answer:

p = 9

Step-by-step explanation:

8(8p + 8) = 640

use the dist property

64p + 64 = 640

-64 -64

64p = 576

divide by 64

p = 9

6 0

3 years ago

Read 2 more answers

What is the value of 3/4 increased by 2 1/6?

Mashutka [201]

Answer:

2 11/12

Step-by-step explanation:

3/4 + 2 1/6

Add the fractions.

35/12

= 2 11/12

8 0

3 years ago

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Alice's backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 500 m^(2)

Alchen [17]

The approximate width of Alice's backyard is 22.36 in.

Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = 22.360679775 in or 22.36 in

4 0

3 years ago

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write the general form of the equation of a line that is parallel to the given line and passes through the given point. y+2= -(x

OleMash [197]

Answer:

y = -x + 4

Step-by-step explanation:

y + 2 = -x - 1

y = - x - 1 - 2

y = -x - 3

Point: (-2,6)

Slope -1

y-intercept: 6 - (-1)(-2)

= 6- 2 = 4

5 0

3 years ago