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2 years ago

1. The perimeter of a rectangle is 30 inches. If its length is three times its width, find both

Mathematics

1 answer:

andrew11 [14]2 years ago

3 0

The length is 11.25 inches.

The width is 3.75 inches.

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melamori03 [73]

The correct answer is A i’m pretty sure

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2 years ago

The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 3 cm/s. when the length is

Nataly [62]

The rate of increase is found by differentiating with resepect to time. The product rule comes into play here.

A = LW

dA/dt ≈ (dL/dt)·W + L·(dW/dt)

... = (6 cm/s)·(5 cm) + (7 cm)·(3 cm/s)

... = 30 cm²/s + 21 cm²/s

... = 51 cm²/s . . . . rate of area increase

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4 years ago

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Law Incorporation [45]

Answer:

90°

Step-by-step explanation:

right angle - 90°

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2 years ago

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How do you solve this! I forgot how to do it! (4x^2 - 16x = 0)

musickatia [10]

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3 years ago

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12. Find the measure of each interior angle of triangle QRT.

Veseljchak [2.6K]

Answer:

$\angle QRT=125.6\°$

$\angle RTQ=6.4\°$

$\angle TQR=48\°$

Step-by-step explanation:

It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this case we can idenfity that the angle $17x$ is an exterior angle of the triangle QRT. Then:

$17x=\angle RTQ+\angle TQR$

Where:

$\angle RTQ=2x\\\\\angle TQR=48\°$

Substituting values and solving for "x", we get:

$17x=2x+48\\\\17x-2x=48\\\\15x=48\\\\x=3.2$

Then:

$17x=17(3.2)=54.4\°\\\\\\\angle RTQ=2(3.2)=6.4\°$

The sum of the interior angles of a triangle is 180°, therefore:

$\angle QRT+\angle RTQ+\angle TQR=180$

Solving for $\angle QRT$ , we get:

$\angle QRT=180-48-6.4=125.6\°$

8 0

3 years ago