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2 years ago

Need help with Trigonometry

Mathematics

1 answer:

Masteriza [31]2 years ago

7 0

Answer:

Step-by-step explanation:

using Pythagorean theory.

equate it to the hypotenus.

thus- hyp sq=adjacent sq +opposite sq

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Solve the following: a) 4x-1 / 2= x+7 b) 3x + 2 = 2x + 13 /3

11Alexandr11 [23.1K]

Answer:

a) 2.5

b)2.33

Step-by-step explanation:

$4x-\frac{1}{2}= x+7$

Bring the numerals to the right hand side and the x terms to the left hand side

$4x-x=7+\frac{1}{2}$

Simplify

$3x=\frac{15}{2}$

Divide 3 on both sides, to get x

$x=\frac{5}{2} =2.5$

$3x+2=2x+\frac{13}{3}$

Bring the numerals to the right hand side and the x terms to the left hand side

$3x-2x=\frac{13}{3}-2$

Simplify

$x=\frac{7}{3} =2.33$

5 0

3 years ago

Joseph and Dwayne are both selling cookie dough for a fundraiser. Although Joseph has already sold 3 tubs, Dwayne hasn't sold an

ArbitrLikvidat [17]

Answer:The number of days it will take to sell the same amount of cookies is 3 and the number of tubs that will be sold is 27

Step-by-step explanation:

Let x represent the number of days it will take either of them to sell the same number of tubs.

Let y represent the total number of tubs that that Joseph will sell in x days.

Let z represent the total number of tubs that that Dwayne will sell in x days.

Joseph has already sold 3 tubs. If Joseph starts selling 8 tubs per day, it means that in x days, the number of tubs that he will sell will be

y = 8x + 3

Dwayne hasn't sold any yet. If Dwayne begins selling 9 tubs per day, it means that in x days, the number of tubs that he will sell will be

z = 9x

To determine the number of days it will take to sell the same amount of cookies, we will equate y to z. It becomes

8x + 3 = 9x

9x - 8x = 3

x = 3

The number of tubs that each will sell will be 9x = 9×3 = 27

3 0

3 years ago

A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where

marta [7]

Answer:

$Height =3$

Step-by-step explanation:

Given

$Length = x + 2$

$Width = x - 2$

$Height = x$

$Volume = 15$

Required

Find the height

The volume is calculated as thus:

$Volume = Length * Width * Height$

This gives

$15 = (x + 2) * (x - 2) * x$

Apply difference of two squares

$15 =(x^2 - 4 ) * x$

$15 = x^3 - 4x$

Subtract 15 from both sides

$x^3 - 4x - 15 = 0$

Using a calculator to factorize, we have:

$(x-3)(x^2+3x+5) = 0$

Split

$x - 3 = 0$ or $x^2 + 3x + 5 = 0$

$x = 3$ or $x^2 + 3x + 5 = 0$

x has complex roots for $x^2 + 3x + 5 = 0$

Hence:

$x = 3$

Recall that:

$Height = x$

$Height =3$

3 0

3 years ago

X=? Find x And explain plz

dimulka [17.4K]

<h2>Answer: (x = 1)</h2>

Step-by-step explanation:

We are given the equation 6(5x - 3) = 1/3(24x + 12), and we must find the value of x.

The first step is to distribute. Distribute the 6 to 5x and -3, and distribute 1/3 to 24x and 12. This give us the equation 30x - 18 = 8x + 4 to work with.

The next step is to get x by itself. In order to do this, subtract 18 from each side of the equation. This gives get's rid of the -18 and get's x by itself on one side of the equation and gives us the equation 30x = 8x +22.

Now that x is by itself on one side of the equation, get 22 by itself on the other side of the equation. The way to do this is to subtract 8x from each side. This gives us the equation 22x = 22.

Divide both sides by 22 and get the equation x = 1

$6(5x - 3) = \frac{1}{3} (24x + 12)$