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g100num [7]
2 years ago
5

What is the length of the diagonal of the rectangle? Round to two decimal places

Mathematics
1 answer:
yan [13]2 years ago
3 0

Answer:

Option C

Step-by-step explanation:

By the property of a rectangle,

"All interior angles of a rectangle measure 90°"

Therefore, m∠ABC = 90°

By applying cosine rule in the right triangle ABC,

cos(∠CAB) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(25°) = \frac{AB}{AC}

AC = \frac{AB}{\text{cos}(25)}

AC = \frac{18}{\text{cos}(25)}

AC = 19.86

Therefore, Option C will be the answer.

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Mario purchased a computer with a screen that measures 16.0 inches diagonally. The length of the screen is 11 inches. What is th
Vesnalui [34]

Answer:

11.61 in

Step-by-step explanation:

the screen when divided diagonally, forms 2 right triangles

diagonal = hypotenuse = 16

16^2 = 11^2 + w^2

w^2 = 135

w = 11.61

3 0
2 years ago
Read 2 more answers
Sederhanakan bentuk aljabar dari 5x²+3x-9x+3x
katrin [286]
5+3+-9+3=2 and then the varibles so the answer is 2 cubed
3 0
3 years ago
Show workings please
Alenkinab [10]

Answer: x = 21°

Step-by-step explanation:

37 + 4x + (3x - 4) = 180°   Original Equation

37 + 4x + 3x - 4 = 180°   Commutative Property of Addition

7x + 33 = 180°   Combine like terms

7x = 148°  Subtract 33 from both sides

x = 21°   Divide both sides by 7

8 0
2 years ago
In a system of linear equations in two​ variables, if the graphs of the equations are the​ same, the equations are (blank) equat
makkiz [27]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.

All points of dependent equations share the same slope and same y-intercept.

For example,

6x-2y = 18

9x-3y=27

represent the dependent equations.

Writing both equations in slope-intercept form

y=mx+c

where m is the slope and c is the y-intercept

Now

6x-2y=18

2y = 6x-18

Divide both sides by 2

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

now

9x-3y=27

3y = 9x-27

Divide both sides by 3

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.

5 0
2 years ago
Find the value of y round your answer to the nearest tenth cos y y=8/13
Iteru [2.4K]

8/13 = 0.6153

y = cos-1(0.6153)

y = 52.0

I'm not totally sure if this is what you mean or if this is.

y = cos(8/13) = 0.9999 which to the nearest tenth is 1.0

7 0
3 years ago
Read 2 more answers
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