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Dvinal [7]
3 years ago
14

Need explanation and answer

Mathematics
2 answers:
Mandarinka [93]3 years ago
7 0

Answer:

x = \sqrt{12} = 3.464

Step-by-step explanation:

AC=AD+DC=13\\\text{Because ABC is a right triangle then}\\AB^2=AD.AC\\\Rightarrow AB^2=1 \times 13=13\\\Rightarrow AB = \sqrt{13}\\\text{In the right triangle ABD, since Pythagoras we also have}\\AB^2=AD^2+BD^2\\\Rightarrow BD^2=AB^2-AD^2\\\Rightarrow x^2= 13 - 1=12\\\Rightarrow x = \sqrt{12} = 3.464.

Anarel [89]3 years ago
6 0

1=22e 3663 30-4949-29238342

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8h = 48 can yiu please solve this
lord [1]

What it is asking is 8 times what equals 48. The best way to do this is by doing the opposite operation. 48 divided by 8 equals 6. Then if you put it in the other way you get 8(6)=48 which works out. So the answer is 6.

8 0
3 years ago
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Sergio [31]

Answer: AC = 7√3

tan 30° = \frac{BC}{AC}

=> \frac{BC}{AC}=\frac{1}{\sqrt{3} }\\\\\=> AC=BC\sqrt{3} =7\sqrt{3}

Step-by-step explanation:

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3 years ago
Explain why 2a+3b=5ab
Ahat [919]

That's not correct. The terms 2a and 3b are not like terms, so we cannot combine them to get 5ab. We simply leave it as 2a+3b.

If you had 2a+3a, then it would simplify to 5a

Similarly, 2b+3b = 5b

Or you could have 2ab+3ab = 5ab

The key is that the variable portions must match up to be able to add them.

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10. Mr. Hanson is preparing an activity for his
Anna71 [15]

Answer:

H

Step-by-step explanation:

Out of all of the answers provided, H seems like the equation that makes the most sense.

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Make sure you divide 300 sticks by 60 sticks (box max) to get the number of boxes.

300 / 60 = 5

So, Mr. Hanson would need to have 5 more boxes in order to get the total amount of 480 sticks.

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5 0
3 years ago
Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
Irina18 [472]

The distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}

Now, we shall solve the problem using the law of sines,

\frac{\sin A}{a}=\frac{\sin C}{c}

Substituting the values, we have,

\frac{\sin 82^{\circ}}{a}=\frac{\sin 20^{\circ}}{140}

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Simplifying, we get,

a=\frac{0.9903 \times 140}{0.3420}

a=405.4

Thus, the distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

4 0
3 years ago
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