Luca baked 18 dozen chocolate chip cookie dozen peanut butter cookie how many cookie did Luca bake

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

2 years ago

Read 2 more answers

two customers went to a post office to buy postcards and envelopes. Each postcard costs the same amount, and each large envelope

Mariulka [41]

Answer:

The cost of postcard is $0.122 and the cost of large envelope is $1.57.

Step-by-step explanation:

Let, the cost of postcards = x and the cost of large envelopes = y.

According to the question, we get the following system of equations,

34x + 5y = 12

10x + 15y = 24.80

We will now solve this system to obtain the value of x and y.

First, we divide second equation by 5,

34x + 5y = 12

2x + 3y = 4.96

Now, we multiply second equation by 17,

34x + 5y = 12

34x + 51y = 84.32

Subtracting the equations gives us,

-46y = -72.32 i.e. y = 1.57.

Substituting the vale of y in the first equation gives us,

34x + 5 × 1.57 = 12 i.e. 34x + 7.85= 12 i.e. 34x = 4.15 i.e. x = 0.122.

Hence, the cost of postcard is $0.122 and the cost of large envelope is $1.57.

4 0

3 years ago

Read 2 more answers

One number is 4 less than 3 times a second number. If 3 more than two times the first

Lelechka [254]

Answer:

The first number (x) = 8

Step-by-step explanation:

Let x = the first number

Let y = the second number

x = 3*y - 4

2x + 3 - 2y = 11 Subtract 3 from both sides

2x - 2y = 11 - 3

2x - 2y = 8 Divide by 2

x - y = 4 Add y to both sides

x = y + 4 Now go back to the very first equation. Substitute for x

y + 4 = 3y - 4 Subtract y from both sides

4 = 3y - y - 4

4 = 2y - 4 Add 4 to both sides

4 + 4 = 2y

8 = 2y Divide by 2

8/2 = y

y = 4

x = 3y - 4

x = 3*4 - 4

x = 12 - 4

x = 8

7 0

3 years ago

An object that weighs 1 pound on Earth weighs 1.19 pounds on Neptune. Suppose a dog weighs 9 pounds on Earth. How much would it

ra1l [238]

Answer: 10.71

Step-by-step explanation:

1 pound on earth = 1.19 pounds on Neptune

9 pounds on earth means 9 x 1.19 = 10.71

6 0

3 years ago

Read 2 more answers

The line segments that connect 2nd base to 1st base' & 2nd base to 3rd base form a right angle. Marcus on 3rd base and he is

Stells [14]

Answer: The correct answer is option C; 90√2

Step-by-step explanation: The line segments are labelled as base 1, base 2 and base 3 respectively. This we shall call point 1, point 2 and point 3. These three points form a right angle. Also we have been told that Marcus is on point 3 and Jean is on point 2. They are both 90 feet apart. Also Joel is on point 1 and he is 90 feet away from Jean. The unmeasured distance therefore is from point 1 to point 3, which is the distance from Joel to Marcus (or Marcus to Joel).

The distance from point 1 to point 3 is the hypotenuse of the right angled triangle derived. Using the Pythagoras' theorem, the distance from Joel to Marcus (or JM) is calculated as follows;

JM² = JC² + JL²

Where JM is the distance between Joel and Marcus (hypotenuse), JC is the distance from Jean to Marcus and JL is the distance from Jean to Joel.

JM² = 90² + 90²

JM² = 8100 + 8100

JM² = 16200

Add the square root sign to both sides of the equation

√JM = √16200

JM = √100*√81*√2

The right hand side of the equation can be further solved as

JM = 10*9*√2

JM = 90√2

Therefore the distance between Marcus and Joel is calculated as 90√2 feet

6 0

3 years ago