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3 years ago

Can anyone help me as soon as possible??

Mathematics

1 answer:

Bogdan [553]3 years ago

7 0

Answer:

x = 16

Step-by-step explanation:

Δ AED and Δ ACB are similar thus the ratios of corresponding sides are equal, that is

$\frac{ED}{CB}$ = $\frac{AD}{AB}$ , substitute values

$\frac{11}{8}$ = $\frac{6+x}{x}$ ( cross- multiply )

11x = 8(6 + x) ← distribute

11x = 48 + 8x ( subtract 8x from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

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What is the value of x

eimsori [14]

Answer:

x=60

Step-by-step explanation:

this is an isosceles triangle. so angle D and F are equal. D= x and F=x. so 58+x+x=180

2x+58=180

2x=122

x=60

4 0

3 years ago

Help please! Thank you!!

Rus_ich [418]

Let x be the number of sheets Raj had before printing.

sheets per copy= 25/2 = 13(round up)

x = 10+ 13(22)

x = 296.

Raj had 296 sheets of paper before printing.

8 0

3 years ago

Need Help

klio [65]

The smallest amount of material needed is 54 square centimeters

<h3>How to determine the amount of material needed?</h3>

The given parameters are:

Volume = 36 cubic centimeters

Represent length with x, width with y and height with z.

So, we have

x = 3y

The volume is calculated as:

V = xyz

This gives

V = 3y²z

Substitute 36 for V

3y²z = 36

Divide by 3

y²z = 12

Make z the subject

z = 12/y²

The surface area is:

S = 2(xy + xz + yz)

This gives

S = 2(3y² + 3yz + yz)

Evaluate the like terms

S = 2(3y² + 4yz)

Expand

S = 6y² + 8yz

Substitute z = 12/y²

S = 6y² + 8y * 12/y²

This gives

S = 6y² + 96/y

Differentiate

S' = 12y - 96/y²

Set to 0

12y - 96/y² = 0

Multiply through by y²

12y³ - 96 = 0

Add 96 to both sides

12y³ = 96

Divide by 12

y³ = 8

Take the cube root of both sides

y = 2

Recall that:

x = 3y and z = 12/y²

This gives

x = 3 * 2 = 6

z = 12/2² = 3

Recall that:

S = 2(xy + xz + yz)

So, we have:

S = 2(6 * 2 + 3 * 3 + 2 * 3)

Evaluate

S = 54

Hence, the smallest amount of material needed is 54 square centimeters

Read more about surface areas at:

brainly.com/question/76387

#SPJ1

8 0

2 years ago

Janine has job offers at two companies. One company offers a starting salary of $28,000 with a raise of $3000 each year. The oth

Umnica [9.8K]

Answer:

8 years

Step-by-step explanation:

The first company's offer is $8000 lower, but the raises are $1000 higher each year. It will take 8000/1000 = 8 years for the salaries to be the same.

If you like, you can write an equation that will tell you the same thing.

28000 +3000y = 36000 +2000y

Subtract 28000+2000y from both sides:

3000y -2000y = 36000 -28000

1000y = 8000

y = 8000/1000 = 8

4 0

3 years ago

Number One)

pashok25 [27]

Answer:

Step-by-step explanation:

(1) $f(x) = (x-1)^{2} - 36$

First, let's expand the expression:

$f(x) = x^{2} -2x + 1 - 36$

$f(x) = x^{2} - 2x - 35$

Next, let's factor the quadratic:

$f(x) = (x - 7)(x + 5)$

Finally, set the equation equal to $0$ to find the solutions

$0 = (x - 7)(x + 5)$

$x = -5, 7$

(2) During the step $(x - 5)^{2} = 36$ , when you take the square root of both sides, you have two equations, rather than one:

$x - 5 = 6$ and $x - 5 = -6$ , so the solutions should be $x = -1, 11$

(3)

$\frac{1}{4}(x + 5)^{2} - 1 = 3$

Add $1$ to both sides

$\frac{1}{4}(x + 5)^{2} = 4$

Multiply both sides by $4$

$(x + 5)^{2} = 16$

Take the square root of both sides

$x + 5 =$ ± $4$

Subtract $5$ from both sides

$x = -9, -1$

3 0

3 years ago