1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zavuch27 [327]
1 year ago
10

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

and the angle between the sloping sides is 77°. What is the shortest distance between the tip of the cone and its rim?​
Mathematics
2 answers:
11Alexandr11 [23.1K]1 year ago
8 0

177.8 centimeters.

<h3>What is the formula for cos θ?</h3>
  • The symbol for it is Cosθ, and it has the following form: adjacent/hypotenuse = cosθ. In other words, it divides the length of the hypotenuse by the length of the neighboring side, which is the side next to the angle (the longest side of a right triangle).
  • When working with right-angled triangles, the Cos Theta Formula is particularly helpful. The Cosine of an angle in a right triangle is always equal to the hypotenuse's length divided by the length of the neighboring side. This makes it an excellent tool for resolving Cosine-related issues.

The shortest distance between the tip of the cone and its rim:

cos θ= base/Hypotenuse

cos 77°=\frac{40}{H}

0.22495=\frac{40}{H}

H=177.8

To learn more about cos θ, refer to

brainly.com/question/21867305

#SPJ

Lina20 [59]1 year ago
7 0

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

You might be interested in
Math 1 pic attached
Goshia [24]

Answer:

D.

Step-by-step explanation:

(f - g) (x) ➡ f(x) - g(x)

5x - 2 - 2x - 1 = 3x - 3

4 0
3 years ago
What is the measure of the unknown angle?
artcher [175]

Answer:

24

Step-by-step explanation:

x+120+36=180

x+156=180

x=180-156

x=24

3 0
2 years ago
Read 2 more answers
The hypotenuse of a right triangle is 50 millimeters long. One leg of the right triangle is 30 millimeters long. What is the len
alexandr1967 [171]
First. we use the Pythagorean theorem:
a {}^{2} +  b {}^{2} =  c {}^{2}
Add the numbers in
{30}^{2}  +  {b}^{2}  =  {50}^{2}
start simplifying
{b}^{2}  = 1600
b = 40

So, the leg has a length of 40 mm.
6 0
3 years ago
Write an inequality:<br><br> from (–5) to (–1) inclusive
Alekssandra [29.7K]

Answer:

Inclusive means that we'll use the signs ≤ and ≥. Let's call the variable in our inequality as x. Therefore, the answer is -5 ≤ x ≤ -1.

4 0
3 years ago
Need help finding angles 1,2,3,4,5!!!!!
earnstyle [38]

Answer:

1. 18

2. 17

3. 26

4. 17

5. 18

4 0
3 years ago
Other questions:
  • CHECK MY ANSWER PLEASE (I chose C)
    7·1 answer
  • Daury's cab company charges Katherine a $14 boarding rate in addition to
    11·1 answer
  • 8. A sequence can be generated by using 2n - 11. What are the first four terms in<br> the sequence?
    15·1 answer
  • Alexis is going on a trip and needs to save money she corrently has 800 houdred dollars in her bank account and she plans to sav
    5·1 answer
  • Suppose that several insurance companies conduct a survey. They randomly surveyed 350 drivers and found that 280 claimed to alwa
    8·1 answer
  • Tom had 50 baseball cards . he kept 10 for himself and shared the rest equally among his 8 friends . how many baseball cards did
    15·1 answer
  • If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solv
    13·1 answer
  • Someone pls pls pls help
    10·1 answer
  • 98. What is the sum of the first 27 terms in the arithmetic series 25 +19+13 + ...?​
    7·1 answer
  • Is that the correct answer for it please help me. I want to past my ecam
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!