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3 years ago

If the base area of a cone is 78.5 square centimeters and the height

Mathematics

1 answer:

ch4aika [34]3 years ago

7 0

Volume of the cone is 942 cm³

Step-by-step explanation:

Step 1: Find the volume of the cone given base area = 78.5 cm² and height = 12 cm

Volume of the cone = Base area × Height

= 78.5 × 12 = 942 cm³

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A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spe

Liula [17]

Answer:

Equation: $8.5t+6.5=57.5$

Solution: $t=6$

Step-by-step explanation:

Let be "t" the number of movie tickets bought by the group of friends.

According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

$8.5t$

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

$8.5t+6.5$

Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

$8.5t+6.5=57.5$

Finally, you can solve for "t" in order to find the solution of the equation. This is:

$8.5t=57.5-6.5\\\\t=\frac{51}{8.5}\\\\t=6$

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3 years ago

EASY 5 POINTS!!! You have a new pool and want to know its volume. The pool is 5 feet deep and has a radius of 7 feet. About how

Inessa05 [86]

The answer is 770cc. I.e. option D

7 0

3 years ago

Read 2 more answers

Select the outlier in the data set.

Katarina [22]

Answer:

Step-by-step explanation:

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6 0

2 years ago

Which expression is equivalent to 4 (3n - 5)?

mart [117]

Expression 4 (3n - 5) is equivalent to C: 12n - 20

<h3>Further explanation </h3>

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

3. constants

is a fixed value, can be a number

4. arithmetic operations ⇒ +, - , : , x

Calculation operations include multiply, divide, add, substract, etc.

There are several properties in integer multiplication operations

1. closed property

Multiplication between integers will produce integers too

2. commutative property

a x b = b x a

3. associative property

ax (bxc) = (axb) xc

4. identity

ax1 = 1 x a = a

5. distributive property

* addition

ax (b + c) = axb + axc

* substraction

ax (b-c) = axb - axc

We can use distributive property of substraction to solve the problem

$\displaystyle =4(3n-5)\\\\=4x3n - 4x5\\\\=12n-20$

"Equivalent to" means having the same value.

From the answer choices , which produce the same expression is C. 12n-20

<h3>Learn more </h3>

6 squared divided by 2 (3) +4

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Keywords: PEMDAS, arithmetic operations, multiply, Parentheses, equivalent to

5 0

3 years ago

Read 2 more answers

choose the standard form of the equation of the circle with radius 5 √ 3 centered at( -6, 2) please help

Ilia_Sergeevich [38]

Answer:

(x + 6)² + (y - 2)² = 75

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, 2) and r = 5 $\sqrt{3}$ , hence

(x - (- 6))² + (y - 2)² = (5 $\sqrt{3}$ )², that is

(x + 6)² + (y - 2)² = 75

8 0

3 years ago