All categories

3 years ago

Solve for x.

Mathematics

1 answer:

leonid [27]3 years ago

7 0

X>-63/43 let me know if you need an explanation ❤️

You might be interested in

Mrs. Kermit has 29 markers. She gives 12 markers to Mr. Cooke and divides the rest among 5 other teachers. If each of the teache

romanna [79]

Answer: 2 markers.

Step-by-step explanation:

1. You know that she gives 12 markers to Mr. Cooke, then the rest among is:

29 markers-12 markers=17 markers

2. She divides the rest among 5 other teachers and each one of them get the same number of markers. So, you need to divide 17 markers by 5 teachers as following:

17 markers/5=3.4 markers

3. But the number of marker each one teacher has can't be a decimal number, so this number must be: 3 markers for each teacher.

3. The number of markers that will be left over is:

17 markers-(5*3 markers)=2 markers

8 0

4 years ago

a recycling bin is in the shape of a rectangular box find the height of the box if it's length is 18 ft its width is 8 feet and

OLEGan [10]

<h2>Answer:</h2>

The height of the box is:

4 ft.

<h2>Step-by-step explanation:</h2>

Let "h" denotes the height of the box.

Length of box is denoted by "l"

and breadth or width of box is denoted by "b"

We are given l=18 ft

b=8 ft.

Also we are given surface area of rectangular box= 496 ft²

As we know that the surface area of box is given by:

$Surface\ Area=2(lb+bh+hl)$

i.e.

$496=2(18h+8h+144)\\\\i.e.\\\\\\496=2(26h+144)$

Divide both side by 2.

$248=144+26h\\\\i.e.\\\\26h=248-144\\\\i.e.\\\\26h=104$

on dividing both side by 26 we get:

$h=4$

Hence, the height of the box is:

4 ft.

7 0

3 years ago

Read 2 more answers

Answer the value of x

GalinKa [24]

Answer:

Step-by-step explanation:

(8-2)*180=1080 degrees

114+66+94+259+94+67+254+97+x=1080

1045+x=1080

1080-1045=x

x=35

4 0

2 years ago

Please verify the following trigonometric identities.

Nina [5.8K]

Seems like there is a correction in the first question (RHS is tanx.tany)

(i) For convenience: let tanx = a ; tany = b

Thus, tanx + tany = a + b

Moreover, cotx = 1/tanx = 1/a ; coty = 1/b

Thus,

cotx + coty = 1/a + 1/b = (a + b)/ab

Hence,

=> (tanx + tany)/(cotx + coty)

=> (a + b) / { (a + b)/ab }

=> ab(a + b)/(a + b)

=> ab => tanx.tany , proved.

(ii) For convenience: let sinx = a ; cosx = b

As we know, sin²x + cos²x = 1 => a²+b²=1

=> (a³ + b³)/(a + b)

=> (a + b)(a² + b² - ab) / (a + b)

=> (a² + b² - ab)

=> 1 - ab => 1 - sinx.cosx , proved

(iii): let x/2 = A

=> tan(x/2) + cosx.tan(x/2)

=> tanA + cos2A.tanA

=> tanA [1 + cos2A]

=> tanA (2cos²A) {1+cos2A = 2cos²A}

=> (sinA/cosA) (2cos²A)

=> sinA (2cosA)

=> 2sinAcosA

=> sin2A

=> sin2(x/2)

=> sinx proved

Letting x/2 = A is not mandatory. I did it to decease words*(in a line).

<u>Indentities used</u>:

• sin²A + cos²A = 1

• (a³ + b³) = (a + b)(a² + b² - 1)

• 1 + cosA = 2 cos²(A/2)

• tanA = sinA/cosA.

• 2sinAcosA = sin2A

8 0

3 years ago

Read 2 more answers

The regular price of a space invader game is 52$ but it is on sale.the discount is 13$ what percent discount is this?

Mama L [17]

The answer would be 25%

3 0

3 years ago