Solve for x when <br> 2x/5=12/8

The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.

NeX [460]

Answer:

a) the area of a square is in terms of x is

$(x+1)^2$ centimeter square

b)The length of the rectangle is l = (x+1)

l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

area of square is $l^{2} = (x+1)(x+1)$

= $(x+1)^2$

b) Given length is l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is 24 cm

Area of rectangle = length X width

24 = (x+1)(x+1 -5 )

now simplification $24 = (x+1)^2 - 5 (x+1)$

apply (a+b)^2 = a^2+2 a b+b^2

$x^2+2 x+1-5 x-5 =24$

$x^2 -3 x -4-24=0$

$x^{2} -3 x -28 =0$

now find factors of 28 = 7 X 4 is

$x^{2} -7 x+4 x-28=0$

$x(x-7)+4(x-7)=0$

$(x+4)(x-7)=0$

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle = 24 = 8 X 3

24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0

3 years ago

Can someone help me with this in a scientific notation

Leviafan [203]

Answer:

3.762 x 10^-7

Step-by-step explanation:

Alright this has the same exact concept as other scientific notation problems.

First, multiply your first numbers: 4.18 x 9 = 37.62

Next, we add our powers together -4 +-4 = -8 (can also be read as -4 - 4 = -8)

We now have 37.62 x 10^-8

Wait! This isn't in scientific notation.

Taking a closer look at this we see 37.62 x 10^-8 can be adjusted by moving the decimal over to the left. Scientific notation must be in simplest form with only one number on the left of the decimal. This gives up 3.762.

Now we need to adjust our notation. Since we moved the decimal over one we are adding one more power to our problem.

Our current power of -8 is now adding a power due to moving the decimal place over one unit to the left. This is equivalent to saying -8 + 1 which equals -7. Now that we fixed our powers, we can put our equation back together for our final answer

3.762 x 10^-7

6 0

3 years ago

I need help! This is Geometry lesson 8-3 ! Please help me asap!!!!

gulaghasi [49]

If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3

But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).

If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side

Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.

In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.

Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3

8 0

3 years ago

Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the mathema

yan [13]

In this item, it can be seen that from an expression of,
(4 + 5i) + (-3 + 7i)
Aiko transformed the equation by factoring out the i's from the expression and wrote it as,
(4 + 5)i + (-3 + 7)i
Now this is wrong because i there is not a variable but a notation that 5 and 7 are imaginary numbers. In fact, she cannot factor out the i's because it is not present in both -3 and 4. The answer therefore to this item is the last sentence, "Aiko incorrectly used the distributive property by combining ..."

4 0

3 years ago

Read 2 more answers

A net force acting on a 5.0 kg box produces an acceleration of 4.2 m/s2. What

liq [111]

Answer:

14 N

Step-by-step explanation:

Let the mass of the box be m.

F = ma → F = 5 x 4.2 = 21 N

When mass = 2.8 kg, let the acceleration is a. For same force:

=> 21 = a x 2.8

=> 21/2.8 = a

=> 7.5 m/s² = a

6 0

3 years ago

Read 2 more answers

Solve for x when 2x/5=12/8