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lys-0071 [83]
3 years ago
13

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 inc

hes. He will make the "X" by stretching red ribbon diagonally from corner to corner.
How many inches of ribbon will Peter need to make the "X"?
Round your answer to the nearest inch.
Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0
He will need 17 inches of ribbon.

The diagonal splits the square into two right triangles.  We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):

12² + 12² = x²
144 + 144 = x²
288 = x²

Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x
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Find the value of x if h(x) = -25 in the function h(X) = 1/5x + 10
Dmitry_Shevchenko [17]

Answer:

x = -175

Step-by-step explanation:

Step 1: Define

h(x) = -25

h(x) = 1/5x + 10

Step 2: Substitute and Evaluate

-25 = 1/5x + 10

-35 = 1/5x

x = -175

3 0
3 years ago
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The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28. A table with 6 columns and 2 rows. T
Alexus [3.1K]

The solution is (5,2)

Step-by-step explanation:

From the third column the equation for sum of equivalent system is given as;

8x = 40

divide both sides by 8 to get value of x

8x/8 = 40/8

x=5

Using the value of x in the fifth column's first equation will be;

4x +4y =28

4(5) + 4y =28

20 +4y =28

4y= 28-20

4y=8

divide both sides by 4 to get y

4y/4 =8/4

y=2

The solution is x=5 and y=2 written as (5,2)

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Solving simultaneous equations : brainly.com/question/12647791

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3 years ago
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A cross section is the intersection of a
e-lub [12.9K]

Answer:

A cross section is the intersection of a figure in three-dimensional space with a plane. A cross section is the face you obtain by making a "slice" through a solid object. A cross section is two-dimensional. We see cross sections in everyday life.

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3 years ago
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You weigh a gallon of liquid in science class and learn that it is approximately 7.7 pounds. You pass the liquid to the next gro
IceJOKER [234]

Answer:

7.7 pounds = 3.5 kilograms

Step-by-step explanation:

Given that,

Weight of a gallon of liquid = 7.7 pounds

We need to find weight in kilograms.

We must know the relation between pounds and kilograms and it is as follows :

1 kilogram = 2.20 pounds

or

1 pounds = (1/2.2) kilograms

7.7 pounds = (7.7/2.2) kilograms

= 3.5 kilograms

Hence, 7.7 pounds is equal to 3.5 kilograms.

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3 years ago
A mole of a chemical element contains approximately 6.02 × 1023 atoms. Match the following moles of elements with the approximat
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Answer:

9.03x10^16---------1.5x10^-7 helium

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1.9264x10^28-------3.2x10^4 hydrogen

4.8782x10^14--------8.1x10^-10 xenon

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