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Mrac [35]
3 years ago
9

Find the distance between points M (6,16) and Z (-1,14) to the nearest tenth, please help step by step

Mathematics
1 answer:
insens350 [35]3 years ago
3 0
The distance between 2 points P(a, b) and Q(c,d) is given by the formula:

\displaystyle{d= \sqrt{(b-d)^2+(a-c)^2}, 


Apply the formula for the points M(6, 16) and Z(-1, 14):

\displaystyle{d= \sqrt{(16-14)^2+(6-(-1))^2}= \sqrt{2^2+7^2}= \sqrt{4+49}= \sqrt{53}\approx 7.28

which rounded to the nearest tenth is 7.3 (units)

Answer: 7.3 units
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The Pythagorean Theorem- Find the Missing Length:
drek231 [11]

The miles he drove North on Avenue B is 24 miles.

<h3>What is Pythagoras theorem? </h3>

According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides.

The Pythagoras theorem: a² + b² = c²

Where:

  • a = length
  • b = base = 7 miles
  • c = hypotenuse = 25 miles

<h3>How many miles did he drive north of Avenue B? </h3>

25² - 7²

625 - 49 = 576

√576 = 24 miles

Please find attached the required diagram. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

5 0
2 years ago
Determine whether theses lines are parallel, perpendicular or neither
belka [17]

Answer:

Lines 2 and 3 are parallel with slope (-2/3) and different y intercepts, and both are perpendicular to line 1              (-1) / (3/2) = (-2/3)

Step-by-step explanation:

Parallel lines have the same slope

Perpendicular lines have negative reciprocal slopes

line 1: 6x - 4y = 2

line 1: 4y =  6x - 2

line 1:   y = (3/2)x - 0.5

line 2:  y = (-2/3)x - 6

line 3:3y = -2x + 4

line 3: y = (-2/3)x + 4/3

8 0
3 years ago
Can someone help me with this? thank you!
Vedmedyk [2.9K]

Answer:

V = 240 cm^{3}

Step-by-step explanation:

To find the volume of a rectangular prism use this equation:

V = l*w*h

l = length (20 cm)

w = width (4 cm)

h = height (3 cm)

Plug all these values into the equation and solve:

V = (20 cm)(4 cm)(3 cm)

V = (80 cm^{2})(3 cm)

V = 240 cm^{3}

Therefore, the volume of the rectangular prism is 240 cm^{3}.

I hope this helps! Good luck!

8 0
2 years ago
How to decompose 1 3/8
MArishka [77]
3/8 = 1/8 +1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 +1 + 1/8 = 8/8 + 8/8 + 1/8.
Hope this helps!
7 0
3 years ago
A die is rolled. What is the probability of rolling the following?
Rus_ich [418]

Answer:

2/3 chance (67%)

Step-by-step explanation:

Multiples of 5:

(5)

Multiples of 2:

(2)

(4)

(6)

This is a 4/6 chance or 2/3

6 0
3 years ago
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