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3 years ago

BC= Round your answer to the nearest hundredth.

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

Answer:

BC ≈ 1.71

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{BC}{AB}$ = $\frac{BC}{5}$

Multiply both sides by 5

5 × cos70° = BC , thus

BC ≈ 1.71 ( to the nearest hundredth )

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Find the new value when 192 is decreased by 31%

lesya [120]

Answer:

132.48

On your calculator do 0.69x192, as that removes 0.31 of 192, or 31%.

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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

kolezko [41]

Answer:

left 2 units, up 3 units

Step-by-step explanation:

(x-2, y+3)

-2 means 2 to the left

+3 means 3 up

So it would be left 2 units, up 3 units.

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3 years ago

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iragen [17]

Answer:

The greatest common factor of the terms is 1.

Step-by-step explanation:

The terms have no variables in common, and the coefficients have no factors in common. The greatest common factor of the terms is 1.

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Answer:

x=½

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Step-by-step explanation:

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divide both sides by 20

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4 years ago

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