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stira [4]
3 years ago
9

Two sides of a triangle have sides 11 and 16. The length of the third side must be greater than

Mathematics
1 answer:
postnew [5]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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A half dozen cupcakes cost $15. What constant of proportionality relates the number of cupcakes and total cost? Write an equatio
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The constant of proportionality is 2.50
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3 years ago
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18. The Tennis for Champs company is looking into new ways to package tennis balls. The packaging engineer at the company is exp
9966 [12]

Answer:

Amount of empty space in the cylinder = 395.64 cm³

Step-by-step explanation:

Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;

Formula for volume of a cylinder is;

V = πr²h

We are to use π = 3.14

Thus, V_cylinder = 3.14 × (6/2)² × 18

V_cylinder = 508.68 cm³

Volume of a tennis ball is;

V_tennis ball = (4/3)πr³

V_tennis ball = (4/3) × 3.14 × (6/2)³

V_tennis ball = 37.68 cm³

Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³

Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³

8 0
2 years ago
An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?
vampirchik [111]
<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

24.9^{\circ} and 65.1^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to 90^{\circ}.

Let a be the measure of the complementary angle.

If an angle is 40.2^{\circ} more than its complementary angle, the measure of that angle is a +40.2. The sum of both angles are expressed a +(a +40.2) but since the have to add to 90 as they are complementary, a +(a +40.2) = 90.

Solving for a:

a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9

Since the other angle measures a +40.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +40.2:

a +40.2 \\ 24.9 +40.2 \\ 65.1

The measure of the angles are 24.9^{\circ} and 65.1^{\circ}

4 0
3 years ago
you are going on vacation and leaving your dog in a kennel. kennel a charges $25 per day which includes a one-time grooming trea
rewona [7]

Answer:

is this a quiz?

Step-by-step explanation:

8 0
3 years ago
Find the missing length indicated 144 and 60
Alexxandr [17]

The missing length in the right triangle as given in the task content is; 156.

<h3>What is the missing length indicated?</h3>

It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;

x² = 144² + 60²

x² = 20736 + 3600

x² = 24,336

x = √24336

x = 156.

Remarks: The complete question involves a right triangle and the missing length is the longest side.

Read more on Pythagoras theorem;

brainly.com/question/343682

#SPJ1

7 0
2 years ago
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