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
I want to cover the curved surface of a cylinder with orange paper. My cylinder is 14” tall. The diameter is 3.5”. I have listed
Dominik [7]
Circumference of the cylinder = 3.14 x 3.5 = 10.99 = 11 inches
 so D. 11 x 14 is correct for the first part

area of the top  =  PI x r^2 = 3.14 x 1.75^2 = 9.62 inches

top and bottom = 9.62 x 2 = 19.23 = A. 19 inches




7 0
3 years ago
12/18 ATB - Review question -<br> Evaluate 18x + 75 when x= 8.
boyakko [2]

Answer:

solution

x=8

so,

18 .8 +75

144 +75

219

7 0
3 years ago
Factor -5 out of 10a-25
kakasveta [241]
The answer is -5(-2a+5)
5 0
3 years ago
The number of the day is 936,165
Digiron [165]
936165 

900000 + 30000 + 6000 + 100 + 60 + 5 (expanded form)

nine hundred thirty six thousand one hundred and sixty-five (word form)

<span>hope this helps

</span>
3 0
3 years ago
An arithmetic sequence has a common difference of 2 and contains the value 86 at some point in the sequence. Which of the follow
shusha [124]

Answer:

B. a_{n} = a_{n-1}+2; a_{1} = 2

Step-by-step explanation:

According to the statement, we find that the following two conditions must be observed:

a_{i} = 86 (Eq. 1)

a_{i}-a_{i-1} = 2 (Eq. 2)

Since the difference between two even numbers leads to another even number. Hence, a_{1} must be an even number and the correct answer is B.

3 0
3 years ago
Other questions:
  • Last year, Ravi opened an investment account with $5400 . At the end of the year, the amount in the account had decreased by 24.
    10·1 answer
  • A game room has a floor that is 400 feet by 90 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. W
    11·1 answer
  • Andy drove 15,840 feet. how many miles did Andy drive
    8·2 answers
  • In ΔQRS, the measure of ∠S=90°, RQ = 13, SR = 12, and QS = 5. What ratio represents the tangent of ∠Q?
    14·1 answer
  • What is the reason for the fourth and eight steps in the proof?
    10·1 answer
  • Is this number rational or irrational? 2/5 squared <br><br> A.rational<br><br> B.irrational
    12·1 answer
  • HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 1
    13·1 answer
  • Help me please I don’t understand
    12·1 answer
  • 5.1 Percentage changes
    13·1 answer
  • 7. Matthew drove 350 miles on 10 gallons of gasoline. How many miles per gallon does
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!