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3 years ago

Hi can someone help me out with this problem.

Mathematics

2 answers:

Alexxandr [17]3 years ago

5 0

Answer: The answer is 9 units

Step-by-step explanation: What we have in the question is a right angled triangle. The hypotenuse (41 units) has been given as well as one of the other two sides (40 units).

The Pythagoras theorem states that;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides. We now have

41^2 = 40^2 + BC^2

1681 = 1600 - BC^2

Subtract 1600 from both sides of the equation

81 = BC^2

Add the square root sign to both sides of the equation

9 = BC

Therefore the exact length of the third side is 9 units

elena-s [515]3 years ago

3 0

Answer:

third side = 9

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x, then

x² + 40² = 41², that is

x² + 1600 = 1681 ( subtract 1600 from both sides )

x² = 81 ( take the square root of both sides )

x = $\sqrt{81}$ = 9

The third side is 9

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3 years ago

Allison is working two summer jobs, making $12 per hour lifeguarding and $8 per hour washing cars. Last week Allison worked 3 mo

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Answer:

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Step-by-step explanation:

Let

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1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then

$x-y=3$

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$12x in x hours.

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$8y in y hours.

2. Allison earned a total of $96, hence

$12x+8y=96$

You get the system of two equations:

$\left\{\begin{array}{l}x-y=3\\ \\12x+8y=96\end{array}\right.$

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3 years ago

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Step-by-step explanation:

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3 years ago

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Answer:

Thus, a golden retriever should be given 19 teaspoon of medicine.

Step-by-step explanation:

Given that a golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds.
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Assign a variable. Write a sentence that gives the information to find it.
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Step 1 of 3

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Step 2 of 3

Multiply both sides by x and simplify

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5x=85

Divide by 5,

$x=\frac{85}{5}$

Simplify, x=19

Step 3 of 3

Check the answer.

Substitute x=19 in original proportion and simplify.

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2 years ago

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Step-by-step explanation:

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Now calculate $\theta_{1}=\angle BAC$ and $\theta_{2}=\angle ABD$ as follows,