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kolbaska11 [484]
3 years ago
12

Analyze the diagram below and complete the instructions that follow.

Mathematics
2 answers:
Flura [38]3 years ago
4 0
This is an isosceles triangle, so both legs are of length 5√2.

Use the Pyth. Thm. to find the length of the hypotenuse.  Square 5√2 and double the result:  25(2) = 50; twice 50 is 100.  The square of the length of the hyp. is 100, and so the length of the hyp is sqrt(100), or 10 (answer).
mihalych1998 [28]3 years ago
4 0

Answer:

Option C.

Step-by-step explanation:

In the diagram attached, we can see that the given triangle is a right angle triangle.

Now we can apply Pythagoras theorem to evaluate the value of x.

Hypotenuse² = (Side 1)² + (Side 2)²

x² = (5√2)² + (5√2)² [Since side 1 = side 2]

x² = 50 + 50

x² = 100

x = √100 = 10

Therefore, option C. is the answer.

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Elaine has three types of nuts, peanuts, cashews and almonds, that she combines and stores in a large container: There are three
wlad13 [49]

Answer:

There are 9 ounces of peanuts

Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|

8 0
2 years ago
What is 100 in exponential form?
Thepotemich [5.8K]
10 • 10=
Is 10^2
In exponential form
3 0
3 years ago
Create a fraction that is equivalent to 3/4 explain the steps you took to create your fraction
serg [7]
6/8. multiply 3/4 by 2 and there is your answer.
4 0
2 years ago
The sum of three consecutive numbers is 12 find the numbers
snow_tiger [21]
Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3

y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5

So the numbers are 3; 4 and 5.

You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.

Hope this Helps! :)
7 0
2 years ago
If 1 inch is 500 miles, then 4 inches is how many miles?
tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

1 inch=500 miles

This can be rewritten as:

\frac{500 miles}{1inch}

This is representative of a unit rate, as we have a 1 in the denominator. To calculate the number of miles in 4 inches, simply multiply the unit rate by 4:

\frac{500 miles}{1inch}*4=

\frac{2000 miles}{4 inches}

This can rewritten as:

4inches=2000miles

Therefore, there are 2,000 miles in 4 inches.

-

We can check our solution by simplifying the fraction \frac{2000 miles}{4 inches} by dividing both 2000 and 4 by 4 to see if we achieve the unit rate:

\frac{500 miles}{1 inch}

Since this is in fact the unit rate, our solution is correct!

6 0
2 years ago
Read 2 more answers
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