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3 years ago

Find the missing of the triangle Round to the nearest tenth

Mathematics

1 answer:

inessss [21]3 years ago

7 0

Answer:

Step-by-step explanation:

This is a 30°-60°-90° triangle, so its sides are in the ratio 1:√3:2

The side opposite the 90° angle is 11, so the side opposite the 30° angle is 11/2 = 5.5

x is opposite the 60° angle, so its length is 5.5√3 ≅ 9.5 units

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How do you solve 6 x + 5 x − 25 = − 5 x − 28

Travka [436]

Answer:

x = -3/16

Step-by-step explanation:

6x + 5x - 25 = -5x - 28

11x - 25 = -5x - 28

Add 5x to both sides.

16x - 25 = -5x + 5x - 28

16x - 25 = -28

Add 25 to both sides.

16x - 25 + 25 = -28 + 25

16x = -3

Divide both sides by 16

16/16 = 1

-3/16

x = -3/16

3 0

3 years ago

The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0

3 years ago

To the nearest hundredth, what is the value of x?

Anna [14]

Answer:

1. We already have the measure of the hypotenuse and one out of two acute angle, therefore:

sin53° = x/45 => x = sin53° · 45 ≈35.94

2. We already have one out of two legs of the triangle and one acute angle so we know that:

tan27° = 48/x => x = 48/tan27° ≈ 94.21

3 0

3 years ago

Brittany bought three movies from the library which movie is almost 3 hours long about how many hours of movies does Britney hav

Anton [14]

Britney has to watch 90 hours of movies

5 0

3 years ago

Read 2 more answers

Adding and Subtracting Integers (-5) + (+45) (-5) + (+48)

timofeeve [1]

1. 40
2. 43
its just like subtracting when you add a negative number to a positive one. flip them around! makes it a lot easier.

7 0

3 years ago