the area of the square is 49 because 7x7=49 and the area of the triangle is 3x7/2 because it is half of a rectangle so it is 10.5 + 49 = 59.5 and perimeter you add all the sides so 3+7.6+7+7+7= 31.6

8 0

2 years ago

Find the solution to the system of equations graphed here.

polet [3.4K]

There is no picture, but you would substitute the first number for the x and the second for the y

3 0

3 years ago

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In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: CD, if BC = 3 in

IRISSAK [1]

We can find m∠BCD like follows: m∠BCD=90°-45°=45<span>°
Now, m</span><span>∠DBC= 180°-(90°+45°)=45°

Remember that </span> $sin \alpha = \frac{opposite leg}{hypotenuse}$ , so $oppositeleg=(hypotenuse)(sin \alpha )$

We know that hypotenuse= BC= 3in and $\alpha$ =∠DBC)=45°, so replacing the values we get:
$CD=3sin(45)=2.12$

We can conclude that the segment CD is 2.12 in

4 0

3 years ago

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Select the correct answer from each drop-down menu.

olganol [36]

The system of inequalities is:

y ≤ -0.05*x^2 + 6x

y > 1.5x + 45

(30, 90) is not a solution of that system, while (60, 160) is a solution.

<h3>How to get the system of inequalities?</h3>

We know that the revenue y is given by:

y ≤ -0.05x^2 + 6x

And we know that the costs are 1.5x + 45, and the revenue must be larger than that, so we also have the inequality:

y > 1.5x + 45

So the system is:

y ≤ -0.05*x^2 + 6x

y > 1.5x + 45

Now, the point (30, 90) means that we need to replace x by 30 and y by 90, replacing that in the second inequality, we will get:

90 > 1.5*30 + 45 = 90

90 > 90

This is false, so the point is not a solution of this inequality, meaning that the point is not a solution of the system.

For the second point we do the same: x= 60, y = 160, replacing that in the second inequality we get:

160 > 1.5*60 + 45 = 135

160 > 135

This is true, now we need to check with the other inequality.

160 ≤ -0.05*60^2 + 6*60 = 180

This is also true.

So the point (60, 160) is a solution to the system.

If you want to learn more about systems of inequalities, you can read:

brainly.com/question/9774970

8 0

2 years ago

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