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2 years ago

PLEASE HELP EXTRA HELP NEED STEP BY STEP

Mathematics

2 answers:

Levart [38]2 years ago

5 0

Answer:

16 yards by 14 yards

Step-by-step explanation:

let w be the additional width from the walkway

The total area is then

(w + 10)(w + 8) = 224

Expand

w^2 + 18w + 80 = 224

Subtract 224 from both sides

w^2 + 18w - 144 = 0

Factor (if you can't see how this factors use the quadratic equation)

(w + 24)(w - 6) = 0

w = {-24, 6}

Disregard the -24 since width cannot be negative

w + 10 = 6 + 10 = 16

w + 8 = 6 + 8 = 14

The garden plus walkway is 16 yards by 14 yards

Mila [183]2 years ago

3 0

Answer:

if the garden is 10 by 8 that would equal 80. so you have to take 80 out of 224. it equals 144. so you have to figure out what would equal 144. 12 times 12 equals 144. so that is the dimension for the walkway.

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The lengths of the diagonals of rectangle ABCD intersect at E. If AE =x+4 and CE= 3x-12. What is the length of BD?

swat32

Answer:

DB = 24

Step-by-step explanation:

First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.

Also, AE + CE = CA

So, using this, we can write this equation:

AE = CE

x + 4 = 3x -12

Subtract 4 from both sides.

x = 3x -16

Subtract 3x from both sides.

-2x = -16

Divide both sides by -2

x = 8

Then, substitute this into AE + CE = CA

x + 4 + 3x - 12 =

8 + 4 + 24 - 12 = 24

Then, because CA = DB,

DB = 24

I hope this helps! Feel free to ask any questions! :)

5 0

2 years ago

Read 2 more answers

32 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 10 cash registe

weqwewe [10]

Answer: 0.0023

Step-by-step explanation:

Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.

probability of success p = 32% = 0.32

Sample size : n= 10

Binomial probability function :

$P(X=x)= \ ^nC_xp^x(1-p)^{n-x}$

Now, the probability that eight receipts will show that the above three food items were ordered :

$P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023$

hence, the required probability = 0.0023

8 0

3 years ago

Pls help!!!! ahhhhhhhhhhhhhhhhhhhhhhhhhhhhh

sp2606 [1]

Answer:

1:2

Step-by-step 1:2explanation:

it doesnt say anything about colors. so how many dots? how many stripes? 2 and 4. Ratio: 2:4. Ratios can be fractions: 2/4. What does 2/4 simplify to? 1/2 That means for every 1 dot rectangle there are 2 stripe rectangle. Ratio : 1:2 or 1 to 2 or 1/2

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2 years ago

A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if

Yakvenalex [24]

Answer:

The area of a label is $62.8\ in^{2}$

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

$LA=2\pi rh$

we have that

A can is 4 inches wide

The diameter of the can is 4 inches

$r=4/2=2\ in$ ----> the radius is half the diameter

$h=8-3=5\ in$ ----> height of the label

substitute in the formula

$LA=2(3.14)(2)(5)=62.8\ in^{2}$

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3 years ago

State if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statemen

yuradex [85]

Answer:

Answer is option 2

Step-by-step explanation:

We know that Angle M = Angle G (given in diagram)

We also know that Angle L in triangle LMN is equal to Angle L in triangle LGH

As two angles are equal in both triangles they are similar.

But why is it Triangle LGH instead of Triangle HGL?

As we know M=G therefore they should be in the same place in the name Of the triangle. In triangle LMN M is in the middle therefore Angle G should also be in the middle

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2 years ago