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lyudmila [28]
4 years ago
12

when providing the pythagorean theorem , we use the given diagram. what is the area of all four triangles combines ?

Mathematics
1 answer:
aleksley [76]4 years ago
6 0

Answer:

OPTION B) 2ab

Step-by-step explanation:

Given:

Side of larger square = (a + b) units

Side of smaller square = c units

To Find:

The area of all four triangles combined = ?

Solution:

a^2 + b^2 = c^2       (Pythagoras theorem) -(1)

The area of all four triangles combined = Area of larger square - Area of smaller square

The area of all four triangles combined = (a + b)^2 - c^2

The area of all four triangles combined = a^2 + b^2 + 2ab - (a^2 + b^2)    {By (1)}

The area of all four triangles combined = a^2 + b^2 + 2ab - a^2 - b^2

The area of all four triangles combined = a^2 - a^2 + b^2 - b^2 + 2ab

Therefore, The area of all four triangles combined = 2ab sq. units

OPTION B) 2ab

PLZ MARK ME AS BRAINLIEST!!!!

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Hello!

You first have to find the scale factor between the triangles

To do this you divide the new side length by the old one

9 / 6 = 1.5

They multiplied the smaller triangle by 1.5 to get the bigger one

Do this to find the missing length

8 * 1.5 = 12

The answer is 12

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The mean incubation time for a type of fertilized egg kept at 100.2100.2â°f is 2323 days. suppose that the incubation times are
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To solve this problem, what we have to do is to calculate for the z scores of each condition then find the probability using the standard normal probability tables for z.

The formula for z score is:

z = (x – u) / s

where,

x = sample value

u = sample mean = 23 days

s = standard deviation = 1 day

 

A. P when x < 21 days

z = (21 – 23) / 1

z = -2

Using the table,

P = 0.0228

Therefore there is a 2.28% probability that the hatching period is less than 21 days.

 

B. P when 23 ≥ x ≥ 22

<span>z (x=22) = (22 – 23)  / 1 = -1</span>

P (z=-1) = 0.1587

 

z (x=23) = (23 – 23) / 1 = 0

P (z=0) = 0.5

 

P = 0.5 - 0.1587 = 0.3413

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C. P when x > 25

z = (25 – 23) / 1

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P = 0.9772

This is not yet the answer since this probability refers to the left of z. Therefore the correct probability is:

P true = 1 – 0.9772

P true = 0.0228

<span>Therefore there is a 2.28% probability that the hatching period is more than 25 days.</span>

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Answer:

3x + 4

Step-by-step explanation:

We have a product of 3 and x. That's rewritten as 3x. We then have 4 more, so we add 4. That gives us the final answer of:  3x+4. (It is 1-4x for the third one). ( The fourth one) The sum of seven and the quotient of a number x and eight

Here, x be the number.

" quotient of a number x and eight" translated to x/8

Sum means '+'

"sum of seven and the quotient of a number x and eight" translated to 7+ x/8 +56+x/8

                               

then; the given statement is 56+x/8

⇒

Therefore, the given statement is 56+x/8

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