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3 years ago

Evaluate the following relation.

Mathematics

1 answer:

hoa [83]3 years ago

3 0

Answer:Guessing it's true. Sorry if this is wrong.

Step-by-step explanation:

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A diagonal of a parallelogram is 20 inches long and makes angles of 17° and 49° with the sides. How long is the longest side?

stiv31 [10]

Angles of the parallelogram which is given in the problem are:α = 49° + 17 °= 66°

β = 180° - 66° = 114°

x - length of the longest side of the parallelogram;

Use the Sine Law:x / sin 49° = 20/ sin 17°

x / 0.7547 = 20 / 0.2924

0.2924 x = 15.094

x = 15.094 : .2924

x = 51.62 is the longest side of the parallelogram.

3 0

3 years ago

Sanaa works at a candy store. A customer bought 3.23 pounds of licorice that costs $3.99 per pound including tax. How much money

larisa86 [58]

Answer:

$12.89

Step-by-step explanation:

3.23 lb × 3.99 $/lb = 12.8877 $

Since we have to round to the nearest cent, Sanaa should collect $12.89.

8 0

3 years ago

Tems11 [23]

Answer:

Step-by-step explanation:

5 0

2 years ago

ARE THESE CONGRUENT OR NOT????

tekilochka [14]

Yes, they are congruent. Congruent means that they are exactly equal in size and shape. The are both Right Triangles (you can tell by the 90 degree angle) and the lines on them are in the same spots, which means, line YZ is equal to line BC, and that line XZ is equal to line AC. I hope that helped! :)

8 0

2 years ago

Help neeed help please

anyanavicka [17]

reflection and translation.

Given:

The different transformation in the options.

To find:

The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.

Solution:

In option 1,

$(x,y)\to (y,x)$

It represents reflection across the line y=x.

In option 2,

$(x,y)\to (x,-y)$

It represents reflection across the x-axis.

In option 3,

$(x,y)\to (4x,4y)$

It represents dilation by scale factor 4 and the center of dilation is at origin.

In option 4,

$(x,y)\to (x+2,y-5)$

It represents translation 2 units right and 5 units down.

We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.

So, the perimeter of the figure and its image are same in the case of reflection and translation.

But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.

Therefore, the correct option is 3.

8 0

2 years ago