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Serga [27]
2 years ago
14

arron takes his dog for a walk afer school, he walks 5 blocks east and then 4 blocks north. if he was able to take a direct rout

e home, how many blocks would he need to travel
Mathematics
1 answer:
nlexa [21]2 years ago
3 0

Hi!

We are given the information found in the picture below.

Note: The directions aren't correct, but the triangle works for this problem.

The "direct path" is the hypotenuse of this triangle.

To find this, we use the Pythagorean Theorem, where a and b are 2 legs of the triangle, and c is the hypotenuse, aka the longest side of any triangle:

a^2+b^2=c^2

We know a and b and want c

4^2+5^2=c^2

16+25=c^2

41=c^2

Therefore, c is approximately 6.403

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Find the value of x in the figure below:
erastova [34]

Answer:

x = 25

Step-by-step explanation:

The interior angle adjacent to the 123° angle is supplementary to it.

Its measure is 180° - 123° = 57°

The sum of the measures of the interior angles of a polygon is

(n - 2)180° = (4 - 2)180° = 2(180°) = 360°

3x + 7 + 96 + 5x + 57 = 360

8x + 160 = 360

8x = 200

x = 25

6 0
2 years ago
What is 10^5 as a decimal
guajiro [1.7K]

Answer:

10^5=100000

Step-by-step explanation:

4 0
3 years ago
a jar holds 3 red, 2 white and 5 green marbles. What is the probability of not drawing out a white one?
mr_godi [17]

Answer:

80%

Step-by-step explanation:

P(not white) = 8/10

8 0
3 years ago
See the picture below!!
Darya [45]

Answer:

Q1) x = 17.3

y = 8.7

Q2) d = 19

Step-by-step explanation:

Question 1

Angle = 60°

Hypotenuse = x

Adjacent = y

Opposite = 15

<u>Step 1: Find x</u>

Sin (angle) = opposite/hypotenuse

Sin (60°) = 15/x

x = 10√3 = 17.3

<u>Step 2: Find y</u>

Tan (angle) = opposite/adjacent

Tan (60°) = 15/y

y = 5√3 = 8.7

Question 2

<u>Step 1: Find the diagonal of the base</u>

c² = a²+b²

c² = 6² + 10²

c = 2√34 = 11.7

<u>Step 2: Find diagonal d</u>

c² = a² + b²

d² = 11.7² + 15²

d = 19

!!

7 0
3 years ago
Solve and show your work<br><br> 1. -3(x - 2) &lt;1/3
Nutka1998 [239]

Answer:

x>17/9

Step-by-step explanation:

-3(x-2) < 1/3

-3x+6 < 1/3

-3x < 1/3-6

-3x < -17/3

x > 17/9

3 0
3 years ago
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