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3 years ago

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5.2.PS-14 Find 3 ratios that are equivalent to the given ratio. 10:16

1 answer:

emmainna [20.7K]3 years ago

3 0

Step-by-step explanation:

three ratios equivalent to 10:16

5:8, 20:32, 100:160

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PLEASE HELP ASAP EASY WILL GIVE BRAINLIEST

cestrela7 [59]

It should be x = -2.

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3 years ago

The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?

Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(-6, 2)) = (x_1, y_1)$

$B(2, 6) = (x_2, y_2)$

$AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}$

$AB = \sqrt{(8)^2 + (4)^2}$

$AB = \sqrt{64 + 16} = \sqrt{80}$

$AB = 8.9$ (nearest tenth)

Distance between B(2, 6) and C(7, 1):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$B(2, 6) = (x_1, y_1)$

$C(7, 1) = (x_2, y_2)$

$BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}$

$BC = \sqrt{(5)^2 + (-5)^2}$

$BC = \sqrt{25 + 25} = \sqrt{50}$

$BC = 7.1$ (nearest tenth)

Distance between C(7, 1) and D(3, -5):

$CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$C(7, 1) = (x_1, y_1)$

$D(3, -5) = (x_2, y_2)$

$CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}$

$CD = \sqrt{(-4)^2 + (-6)^2}$

$CD = \sqrt{16 + 36} = \sqrt{52}$

$CD = 7.2$ (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

$DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$D(3, -5) = (x_1, y_1)$

$A(-6, 2) = (x_2, y_2)$

$DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}$

$DA = \sqrt{(-9)^2 + (7)^2}$

$DA = \sqrt{81 + 49} = \sqrt{130}$

$DA = 11.4$ (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

8 0

3 years ago

Which of these shapes os an obtuse isosceles triangle

AlexFokin [52]

Answer:

The blue triangle.

Step-by-step explanation:

4 0

3 years ago

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A drama club earns $1400 from a production it sells a total of 64 tickets adult tickets and 132 student tickets in adult ticket

Ket [755]

Answer: an adult ticket cost $8 and a student ticket cost $4

Step-by-step explanation:

Let x represent the cost of one student ticket.

Let y represent the cost of one adult ticket.

A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. It means that

132x + 64y = 1040 - - - - - - - - - -1

An adult ticket costs twice as much as a student ticket. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

132x + 64 × 2x = 1040

132x + 128x = 1040

260x = 1040

x = 1040/260 = 4

y = 2x = 2 × 4

y = 8

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3 years ago

36 is 50% of what number?

krek1111 [17]

$x-searched\ number\\\\50\%=0.5\\\\36=0.5x\ \ \ \ |\cdot2\\\\x=72\\\\36\ is\ 50\%\ of\ 72.$

5 0

3 years ago

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