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2 years ago

3. Five less than a product of 3 and a number is 40.

Mathematics

2 answers:

Vesnalui [34]2 years ago

6 0

The equation would be: 3x-5=40

Ad libitum [116K]2 years ago

4 0

The answer is 3x-5=40

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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.

AB = 16

BC = 19

AC = 15

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

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

Formula for cosine rule:

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

Where

a is the side opposite to $\angle A$ ,

b is the side opposite to $\angle B$ and

c 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 y:

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

Hence, the values are:

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

7 0

2 years ago

Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later

sergejj [24]

Answer:

(y^2)/4 square meters

Step-by-step explanation:

For a perimeter length of x, the side of a square will be x/4 and its area will be (x/4)^2.

If one side of the square is shortened by y/2 and the adjacent side is lengthened by y/2, then the difference in side lengths will be y. The area of the resulting rectangle will be ...

(x/4 -y/2)(x/4 +y/2) = (x/4)^2 -(y/2)^2

That is, the difference in area between the square and the rectangle is ...

(x/4)^2 - ((x/4)^2 -(y/2)^2) = (y/2)^2 = y^2/4

The positive difference between the area of the square region and the area of the rectangular region is y^2/4 square meters.

5 0

3 years ago

Tania purchased P packages of pasta for $1.25 each and J jars of sauce for $1.85 each. She purchased 22 items and spent $33.50.

sergey [27]

Answer:

you would need to first do

(p times 1.25)

(j times 1.85)

and then

22 divided by 33.50

Step-by-step explanation:

3 0

2 years ago

Please can u answer these for me

ziro4ka [17]

18 . it's increasing by 5 every time so the next one after 23 is 28

4 0

2 years ago

Given f (x) = (x - 2) (3x² + 1) (2 – 3)? Anyone help me please

olchik [2.2K]

Answer:

Step-by-step explanation:

hope it helps :)

have a nice day or night

5 0

2 years ago