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Karo-lina-s [1.5K]
3 years ago
6

Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 fee

t. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.
Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer:

3 ft, 5ft, 6ft

Step-by-step explanation:

To build a kennel of my dog, I would try to make it the largest possible with what I have.

So, I would go with the 3 longest planks: 3ft, 5ft and 6ft.

By looking at the length, I see I could make something very close to a right triangle since I could use the 6ft as an hypotenuse, and have the two other sides as 3ft and 5 ft  (6² is almost 3²+5², which equal 34).

That means my corner angle would be slightly over 90 degrees.

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Jerry’s rhombus has a base of 15 inches and a height of 9 inches. Charlene’s rhombus has a base and a height that are 13 the bas
neonofarm [45]

Answer:  The area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.

Step-by-step explanation:

I will assume that the exercise says "\frac{1}{3} times the base and height of Jerry’s rhombus".

The area of a rhombus can be calculated with the following formula:

A=b*a

Where "b" is the length of the base  and "a" is the altitude or the height.

Then, you can calculate the area using the formula shown above.

Therefore, you get:

1. Jerry's rhombus:

A_1=(15\ in)(9\ in)\\\\A_1=135\ in^2

2. Charlene's rhombus:

A_2=(\frac{1}{3}*15\ in)(\frac{1}{3}*9\ in)\\\\A_2=(5\ in)(3\ in)\\\\A_2=15\ in^2

Dividing the area calculated, you get:

\frac{135\ in^2}{15\ in^2}=9

Therefore, you can conclude that the area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.

7 0
3 years ago
Read 2 more answers
The sides of two cubes are in the ratio 2:1. What is the ratio of their volumes ?
olasank [31]

Please mark as brainliest

Answer:

we know that, Volume of cube=a³

Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)

Step-by-step explanation:

ATQ: 2x=a³ and, x=A³

a=³√2x and, A=x

we know that, surface area of cube is 6a²

Thus, surface area of 1st cube = 6(³√2x)²

= 6³√4x²

Surface area of 2nd cube=6(x)²=6x²

Ratio of S.A=(6³√4x²)÷(6x²)

Ratio of S.A=³√4:1

<em><u>Please mark as brainliest</u></em>

Have a great day, be safe and healthy

Thank u  

XD

5 0
2 years ago
The image is located below
Ivan

Answer:

288 ft³

Step-by-step explanation:

Volume of the pyramid,

base area × height × (1/3)

= (9×8)×12/3

= 72×4

= 288 ft³

7 0
2 years ago
Fill in the blanks ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
schepotkina [342]

Answer:

  • See below

Step-by-step explanation:

If two triangles are congruent, then the corresponding sides and angles are congruent with each other.

<u>Given:</u>

  • ΔRED ≅ ΔSUN

<u>The following are congruent parts:</u>

  • ∠E ≅ ∠U
  • RE ≅ SU
  • ∠DRE ≅ ∠NSU
  • ∠R ≅ ∠S

<u>Note</u> <em>Pay attention to order of vertices when comparing the congruent parts</em>

8 0
2 years ago
Read 2 more answers
4 divided by 8/9=
lutik1710 [3]
Answer:

1.

4/8/9

4*9/8

9/2

2.

2/5/6

2*6/5

12/5

3.

4/1/4

4*4

16

4.

2/1/4

2*4

8

5.

3/1/7

3*7

21
5 0
3 years ago
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