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SCORPION-xisa [38]
3 years ago
15

Select the correct answer.

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

6C

Step-by-step explanation:

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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?​</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x

$\cos \left(38.5^{\circ}\right) x=40

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}

simplifying the above equation, we get

$x=\frac{40}{\cos \left(38.5^{\circ}\right)}

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

7 0
1 year ago
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The city mayor wants to use the reserved section of a rectangular park for gardening lessons conducted by the city public school
Nezavi [6.7K]

Answer:

the answer is C (280 square feet)

Step-by-step explanation:

First, cut the lawn so that it becomes two shapes: a rectangle, and a triangle. Solve for both areas.

A(r) = lw

A(r) = (14)(16)

A(r) = 224 square feet

A(t) = bh/2

A(t) = (8)(14) / 2

A(t) = 112 / 2

A(t) = 56 square feet

Add the two areas:

A(r) + A(t) = Area of lawn

224 square feet + 56 square feet = 280 square feet.

7 0
3 years ago
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Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.<br> help
Anvisha [2.4K]

Answer:

24/25

Step-by-step explanation:

Cos Z = adj/hyp

= 48/50

= 25

3 0
3 years ago
Please help will mark brainliest
Levart [38]

Answer:

14

Step-by-step explanation:

7 0
2 years ago
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2,4,4,6,10,11,12<br> Median:<br> Mean:<br> Range:<br> Mode:
maw [93]

Answer:

Median: 6

Mean: 7

Range:10

Mode:4

Step-by-step explanation:

6 0
3 years ago
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