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chubhunter [2.5K]
3 years ago
10

Type the correct answer in the box. Round your answer to two decimal places.

Mathematics
2 answers:
Simora [160]3 years ago
7 0

Answer:

3.61 units

Step-by-step explanation:

AB = 3 units

AC = 2 units

Pythagoras theorem in euclidean geometry states that the sum of the squares of the base and height is equal to the square of the side which is opposite to the right angle (hypotenuse).

So,

BC^2=AC^2+AB^2\\\Rightarrow BC=\sqrt{AC^2+AB^2}\\\Rightarrow BC=\sqrt{2^2+3^2}\\\Rightarrow BC=\sqrt{13}

\sqrt{13}=3.6055\\\Rightarrow \sqrt{13}=3.61

BC = 3.61 units

Vlad [161]3 years ago
5 0
Find the square root of 13, which is 3.6

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Several times a week, Chuck goes to the gym to run andswim. When running, heburns 35 calories per minute. When swimming,he burns
ICE Princess25 [194]

Answer:

Chucks spent 8 minutes running and 15 minutes swimming

Step-by-step explanation:

Here, we want to know the amount of time Chuck spends on individual activities.

since the total time spent for the burning is 23 minutes;

then ;

r + w = 23 ••••••••(i)

Now, the number of calories burnt to running for r minutes will be r * 35 = 35w calories

The number of calories burnt to swimming for w minutes will be w * 30 = 30w calories

The addition of both gives the total calories burnt;

Hence;

35r + 30w = 730 ••••••••(ii)

So we have two equations to solve simultaneously ;

From i; r = 23-w

Substitute this into ii

35(23-w) + 30w = 730

805 -35w + 30w = 730

35w -30w = 805-730

5w = 75

w = 75/5

w = 15 minutes

but r = 23 - w

r = 23 -15

r = 8 minutes

3 0
3 years ago
Find the value of the ratio.<br><br> Can someone help please???
USPshnik [31]

Answer:

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Step-by-step explanation:

3 0
2 years ago
What us the length of the altitude of the equilateral triangle below
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Answer:

Height ( h) = 12 units.

Step-by-step explanation:

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To find : What us the length of the altitude of the equilateral triangle .

Solution : We have given equilateral triangle with side = 8 √3.

By taking the half triangle,

By the Pythagorean theorem :

(Hypotenuse)² = ( adjacent)² + (opposite)².

Plug the values Hypotenuse = 8√3 , adjacent = 4√3 , opposite = h.

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192 = 48 +  (h)².

On subtracting by 48 both sides.

192 -48 =  (h)².

144 =  (h)².

On taking square root .

h = 12 .

Therefore, Height ( h) = 12 units.

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3 years ago
Geometry word problem:
marusya05 [52]

Answer:

listen look and listen end learn

Step-by-step explanation:

<em>listen </em><em>and </em><em>learn </em><em>hahaha</em>

3 0
2 years ago
29.2 km = _____ dam???
mart [117]

Answer:2920 dam

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29.2 km=29.2 x 100=2920 dam

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