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BlackZzzverrR [31]

3 years ago

6

the perimeter of a rectangle is 48 inches. the ration of the width the length is 3:5, as shown. find the width and the length of

the rectangle

1 answer:

aleksandrvk [35]3 years ago

7 0

Answer:

Width= 18inches Length= 30inches

Step-by-step explanation:

3+5= 8

48/8=6

3*6=18

5*6=30

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Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)

vredina [299]

Answer:

$x = 49.8^\circ\\y = 54.6^\circ$

Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

<em>AB </em><em>= 16 </em>

<em>BC </em><em>= 19</em>

<em>AC </em><em>= 15 </em>

$\angle ABC = x^\circ\\\angle ACB = y^\circ$

We have to find the <em>angles </em><em>x</em> and <em>y</em> i.e. $\angle B \text{ and }\angle C$ .

Formula for <em>cosine rule</em>:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

<em>a</em> is the side opposite to $\angle A$ ,

<em>b</em> is the side opposite to $\angle B$ and

<em>c</em> is the side opposite to $\angle C$ .

$\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ$

Similarly, for finding the value of <em>y:</em>

$cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ$

Hence, the values are:

$x = 49.8^\circ\\y = 54.6^\circ$

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shepuryov [24]

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Step-by-step explanation:

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_<br>0.6 written as a fraction is ._____ <br><br>O 6/10<br>O 2/3<br>O 1/3

Virty [35]

6/10

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4 0

2 years ago

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Help me plzzz<br>i need help<br><br>

mina [271]

Answer: 5/6 ÷ 5/12 = 5/6 x [12]/[5] = [60]/30 =2

Step-by-step explanation:

The key to this is knowing that when you divide anything by a fraction, it is the same as multiplying by the reciprocal of the fraction, or the flipped version. In this case, we are given 5/6 divided by 5/12, which equals 5/6 x12/5. Then you can so normal fraction multiplication to get 60/30, which is 2.

7 0

2 years ago