All categories

2 years ago

Help me do this question i need help

Mathematics

1 answer:

poizon [28]2 years ago

6 0

Answer:

P = 35 cm

Step-by-step explanation:

Rectangles

Being x and y the dimensions of a rectangle, the perimeter can be calculated as:

P = 2x + 2y

The smaller rectangles of the figure have a width of x cm. We don't know the value of the length, but we can see how the two smaller horizontal rectangles' widths complete the height of the vertical rectangle. Since all the rectangles are identical, then the height of each rectangle is

y = 2x

Substituting in the formula and knowing the perimeter is 21:

2x + 2(2x) = 21

6x = 21

x = 21/6 = 7/2 = 3.5

The large rectangle has a width of 2x and a length of y+x = 3x, thus the perimeter is:

P = 2(2x) + 2(3x) = 4x + 6x = 10x

Since x=3.5 cm:

P = 35 cm

You might be interested in

Determine the domain of the function (fog) (x) where f(x) = 3x-1/x-4 and g(x)=x+1/x

Mrac [35]

Answer:

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

Step-by-step explanation:

The given functions are $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

We now composed the two functions to find:

$(f\circ g)(x)=f(g(x))$

$\implies (f\circ g)(x)=f(\frac{x+1}{x})$

$\implies (f\circ g)(x)=\frac{3(\frac{x+1}{x})+1}{\frac{x+1}{x}-4}$

$\implies (f\circ g)(x)=\frac{4x+3}{1-3x}$

This function is defined if the denominator is not zero.

$1-3x\ne0$

$x\ne\frac{1}{3}$

We write this in interval notation as:

$(-\infty,\frac{1}{3})\cup (\frac{1}{3},\infty)$

We need to be cautious here as x=0 is not in the domain of g(x).

Therefore the domain of $(f\circ g)(x)$ is

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

4 0

3 years ago

Multiplying binomials. (2x+7)(3x-4) step by step please

amm1812

2x * 3x = 6x^2
2x * (-4) = 8x
7 * 3x = 21x
7 * (-4) = -28

6x^2 + 29x - 28

4 0

3 years ago

Someone help me I need to get this finished by tomorrow ASAP

zysi [14]

X=2 shown in the work below.

4 0

3 years ago

It’s a review please HELP ASAP I’ve been stuck on it for awhile now

AlladinOne [14]

<h3>Answer: 7 goes in the blank space</h3>

The range of values for x is 2 < x < 7

========================================

Explanation:

The hinge theorem says that the larger the opposite side is, the larger the angle will be.

AD = 11, DC = 8

Since AD > DC, this means angle ABD > angle DBC.

--------

angle ABD > angle DBC

20 > 4x-8

20+8 > 4x-8+8 ... add 8 to both sides

28 > 4x

4x < 28 ... flip both sides and the inequality sign

4x/4 < 28/4 ... divide both sides by 4

x < 7

--------

At the same time, the angle 4x-8 cannot be 0 or negative.

So we say 4x-8 > 0. Let's solve this for x.

4x-8 > 0

4x-8+8 > 0+8 ... add 8 to both sides

4x > 8

4x/4 > 8/4 ... divide both sides by 4

x > 2

2 < x ... flip both sides and the inequality sign

--------

We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7

We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.

6 0

3 years ago

4 in. 8 in. 7 in. Pls help

snow_lady [41]

Answer:

I assume you're asking for the volume, which is 224

Step-by-step explanation:

4x7x8=224

4 0

3 years ago