Help me pls :D Make the equations match with the number

The width of the door is [tex]37.8ft[/tex] and the height of the door is [tex]39.6ft[/tex]

Let

[tex]A=\text{the front area of the door}\\h=\text{the height of the door}\\w=\text{the width of the door}[/tex]

From the question

[tex]A=w\times h=1496.9\\h=w+1.8[/tex]

We are to find both the width and the height of the door. To proceed, we have to eliminate the height, and solve for the width. Later, we calculate the value of the height from the width.

Eliminate the height;

[tex]A=w\times h\\A=w\times(w+1.8)\\w^2+1.8w-A=0[/tex]

substitute the value of the front area into the equation and solve for the width

[tex]w^2+1.8w-1496.9=0\\w\approx 37.8\text{ or }w\approx-39.6[/tex]

the width can only take positive value. Now, to get the height

[tex]h=w+1.8\\=37.8+1.8\\=39.6[/tex]

the width and height of the door are [tex]37.8ft[/tex] and [tex]39.6ft[/tex] respectively.

Another example can be found in the link: https://brainly.com/question/18625465

The value of x from the equation is x = (5y - 6)/4

Given the equation 3x+5y−7x+6=12

collect the like terms;

3x-7x + 5y + 6=12

-4x + 5y = 12 - 6

-4x + 5y = 6

Subtract 6 from both sides

-4x + 5y - 5y = 6 - 5y

-4x = 6 - 5y

4x = 5y - 6

x = (5y - 6)/4

Hnce the value of x from the equation is x = (5y - 6)/4

learn more on subject of formula here: https://brainly.com/question/657646

Answer:

n = 34/13

Step-by-step explanation:

13 x 4 = n x 26

=> 68 = 26n

=> n = 68/26

=> n = 34/13

Therefore, n = 34/13

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

63.1°

Step-by-step explanation:

Complementary angles sum 90°

90 - 26.9 = 63.1°

Answer:

the second option.

a policy that pays to get your vehicle replaced or repaired incase of an accident.

Step-by-step explanation:

Answer:

It will take 8 days.

Step-by-step explanation:

Find the unit rate;

150000/3 = 50000

4000000/50000=8

8 days.

Hope this helps.

(✿◡‿◡)

Answer:

There are a couple different solutions to your equation:

[tex]x=0[/tex]

[tex]x=\sqrt[22]{\frac{13}{n}}[/tex]

[tex]x=-\sqrt[22]{\frac{13}{n}}[/tex]

[tex]\:n\ne \:0[/tex]

Answer:

zero point zero three six

Answer:

Step-by-step explanation:

10x-13=17x-41

DO YOUR WORK

Answer:

it is a little blurry I cannot tell what d is

Answer:

Step-by-step explanation:

Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.

  f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1

  f(0) = 1400

When t=0, the value of the computer is 1400 dollars.

__

The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.

__

The exponential term gets closer to 0, so the function value gets closer to ...

  f(∞) ≈ 200 +0 ≈ 200

f(t) gets closer and closer to 200.

Answer:

1) 1,400

2) 0

3) 200

Answer:

b part 20 t or i think c part 2t +6

Answer:

-2

Step-by-step explanation:

if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]

the -4 and +4 cancel out to 0

and 1-7= -6

-6/3 is -2

The answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

Answer: The answer is 180°.

Explanation: Two angles are called supplementary when their measures add up to 180 degrees, therefore the answer is 180 degrees.

Answer:

One Solution

Step-by-step explanation:

x + 3y = 3      

x - y = -3        

4y = 6           Subtract to solve by elimination.

y = [tex]\frac{3}{2}[/tex]              Divide by 4.

x - [tex]\frac{3}{2}[/tex]  = -3      Substitute [tex]\frac{3}{2}[/tex] for y in the original equation.

x = -[tex]\frac{3}{2}[/tex]            Add [tex]\frac{3}{2}[/tex].

Answer:

-14x

Step-by-step explanation:

Answer:

$0.73

Step-by-step explanation:

Unit cost means per cost. Hence, divide 4.38 by 6 to find the cost of 1 orange.

4.38 ÷ 6

[tex]=\frac{4.38}{6}[/tex]

= 0.73

Therefore, the unit cost is 0.73 dollars.

No. Tripling the dimensions (the side of the square base and the height) would increase the surface area of the pyramid by a factor of [tex]3^2[/tex] or [tex]9[/tex]

Let

[tex]h=\text{the height of the pyramid}\\s=\text{length of one side of the square base}\\t=\text{total surface area of the pyramid}[/tex]

The total surface area of the square-based pyramid is given by

[tex]t=b(b+\sqrt{4h^2+b^2})[/tex]

Let the tripled dimensions be given by [tex]B=3b[/tex] and [tex]H=3h[/tex], then the new surface area will be

[tex]T=B(B+\sqrt{4H^2+B^2})\\=3b(3b+\sqrt{4(3h)^2+(3b)^2})\\=3b(3b+\sqrt{9(4h^2+b^2)})\\=3b(3b+3 \sqrt{4h^2+b^2})\\=9b(b+\sqrt{4h^2+b^2})\\=9t[/tex]

The new surface area will be greater than the original by a factor of [tex]9[/tex]

Learn more about scale factors here: https://brainly.com/question/1440011

Answer:  It will be more than triple the area because you square the side to find the area of the base.

Step-by-step explanation:

It will be more than triple the area because you triple the side to find the area of the base. To calculate the surface area of a square pyramid, you need to first calculate the area of the base. To do this, you will need to multiply the length of one side of the square by itself (or square it). Since you are tripling the dimensions of the square pyramid, you will need to triple the side of the base, which will result in an area that is more than three times larger.

Answer:

VI

Step-by-step explanation:

The letter "A" is a vowel and a capital letter, so this should be categorized in group VI, where the vowel circle and the capital letter circle overlap.

Answer:

F

Step-by-step explanation:

It is a capital letter and a vowel

Answer:

18

Step-by-step explanation:

4.2 • 3= 12.60

2.7 • 2= 5.4

12.6+ 5.4=

18.0

Answer:

7x-8

  3

Step-by-step explanation:

Answer:

2 1/3x - 2 2/3

Step-by-step explanation:

1/3 x 5

1/3 x -8

and add 2/3x to the mix

so

1 2/3x - 2 2/3x + 2/3x = 2 1/3x - 2 2/3

Answer:

The slope of the line that passes through the points would be 0

Step-by-step explanation:

Lets use the formula : y2-y1/x2-x1

In this case lets let y2 be -8 and y1 be -8

And lets let x2 be 6 and x1 be 10, that would look like..

-8-(-8)/6-10

which equals...

0/-4 = 0

We know that the slope of the line is 0

Answer:

168yards by 42yards

Step-by-step explanation:

Perimeter =2(l+b)

Perimeter =420yards

length=4×breadth

l=4b

P=2(l+b)

P=2(4b+b)

P=2(5b)

P=10b

420=10b

b=420/10

b=42yards

l=4b=4×42yards

l=168yards

hence the dimensions are 168yards by 42yards

Answer:

(x - 10)(x + 2)

Step-by-step explanation:

We are looking for two things that multiply together to give us

x^2 - 10x - 20

These things are binomials, such as (x+2) or (x-7) or (x+8) or (x-5)

We know the first term in the binomial has to be x, because x times x is x^2.

And then we are looking for two numbers that multiply to -20 but also add up to -8.

-10 and 2 multiply to make -20 and add up to -8 so we pick the answer (x-10)(x+2)

Answer:

Option C

Step-by-step explanation:

x² - 8x - 20

x² - (10x - 2x) - 20

x² - 10x + 2x - 20

x(x - 10) + 2(x - 10)

(x - 10)(x + 2)

Hence

Option C is correct

Answer:

I think the bigger triangle is x2 of the smaller triangle so if the base is 20ft then the hight is 12

Step-by-step explanation:

Domain -5 range 5 ,...............