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andrew-mc [135]
3 years ago
5

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea

r function.
Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
To find the contrapositive, you negate the hypothesis and the conclusion of the statement, and then switch their positions in the statement such that the conclusion becomes the hypothesis and vice versa:

If two variables are directly proportional, then their graph is a linear function. 

If two variables are not directly protional, then their graph is not a linear function.
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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0
3 years ago
Which of the following fractions can be represented by a terminating decimal?
Karo-lina-s [1.5K]

Answer:

B) 13/8

Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

8/9 = 0.888888888888...9 (Incorrect)

B) 13/8

13/8 = 1.625 (Correct)

C) 4/3

4/3 = 1.3333333333...4 (Incorrect)

D) 6/11

6/11 = 0.545454545454...54 (Incorrect

13/8 is our answer because in decimal form it is a terminating decimal.

8 0
2 years ago
What is the lcd of 2/3,4/5,and 7,10
sweet [91]
The answer to the question is

20/30. 24/30,. 21/30
4 0
3 years ago
Read 2 more answers
24x²/5xy simplified fully
jarptica [38.1K]

Step-by-step explanation:

exponents are subracted when divided

so next step is

24x/5y and this is the answer

5 0
2 years ago
What are two square numbers added together equal 65?
pychu [463]
8 and 1
8 squared is 64 and 1 squared is 1
64 + 1 = 65
Hope this helps :)
7 0
3 years ago
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