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Hoochie [10]
3 years ago
8

Provide answers for part a,b, and c. Show work for part c.

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

Answer:

Step-by-step explanation:

PART A

The Pythagoras theorem is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

PART 2

The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7

PART C

To determine x, we will apply the Pythagoras theorem as stated above.

Opposite side = √14

Adjacent side = x

Therefore

7^2 = x^2 + (√14)^2

49 = x^2 + 14

x^2 = 49-14 = 35

Taking square root of both sides of the equation, it becomes

x = √35

x = 5.92

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From 1985 to 2007, the number B B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 B(t)=-329.4t+1
Romashka-Z-Leto [24]

Answer:

12100

Step-by-step explanation:

If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985

In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990

The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;

B ( t ) = − 329.4 t + 13747

B(5) = -329.4(5) + 13747

B(5) = -1647+13747

B(5) = 12100

This shows that there will be 12100 federally insured banks are there in the year 1990.

5 0
3 years ago
Which of the following best describes the relationship between Angle a and angle b in the image below ( Choose all that apply)
Goryan [66]

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a

Step-by-step explanation:

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8 0
3 years ago
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If lines AB and CD are parallel, then angles C and E are ​
lys-0071 [83]

Answer: Angles C and E are same side interior angles.

Step-by-step explanation:

8 0
3 years ago
Consider the first three terms of the arithmetic sequence: 7, 15, 23,... Determine d, the common difference.​
ValentinkaMS [17]

Answer:

I think 47 and 55

Explanation:

I think that each number is the previous one plus 8;

7+8=15

15+8=23

23+8=31

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So, next will be:

39+8=47

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3 years ago
The Slope of a Line
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Answer:

m = -3

Step-by-step explanation:

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3 years ago
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