Complete these sentences

The surface area of a cone is found using the formula SA = Pir2 + Pirl. Describe what each part of the formula represents and ho

Elza [17]

Answer:

hope it will help uh.....

8 0

3 years ago

Read 2 more answers

A piggy bank is full of dimes and quarters. The total

Talja [164]

She has 27 quarters and 73 dimes.

Write a system of equations.

Let x be the number of quarters, and y be the number of dimes.

x+y=100

0.25x+0.10y=14.05

Solve by substitution:y=100−x

∴0.25x + 0.10(100 - x) = 14.05

0.25x+10−0.10x=14.05

0.15x+10=14.05

0.15x=4.05

x=27

Solve for y now:

y+27=100

y=100−27

y=73

Hence, She has 27 quarters and 73 dimes.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.

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3 0

1 year ago

A function LaTeX: f\left(x\right)=\sqrt[3]{x}f ( x ) = x 3 is transformed into the function LaTeX: g\left(x\right)=-\sqrt[3]{x}-

shtirl [24]

Answer:

A reflection in the x-axis, and a vertical translation of 8 units down

Step-by-step explanation:

The given function is

$f(x) = \sqrt[3]{x}$

The transformed function is

$g(x) = - \sqrt[3]{x} - 8$

To see the transformation that occurred, we can rewrite g(x) in terms of f(x).

That is:

$g(x) = - f(x) - 8$

Therefore f(x) is reflected in the x-axis and translated 8 units down.

The resulting graph decreases from left to right over its entire domain.

7 0

3 years ago

A rolling pin has two identical cylindrical handles attached to a larger handle that is 12 inches long. The large cylinder measu

yaroslaw [1]

Answer:

Volume of the rolling pin = 246.09 $in^{3}$

Step-by-step explanation:

Length of larger cylinder L = 12 in

Diameter of larger cylinder D = 5 in

Diameter of two handles = 1.5 in

Length of two handles = 3 in

Volume of the rolling pin = Volume of two handles + Volume of larger cylinder

Volume of two handles = 2 ( $\pi r^{2}L$ )

Volume of two handles = 2 (3.14 × $0.75^{2}$ × 3 )

Volume of two handles = 10.59 $in^{3}$

Volume of larger cylinder = ( $\pi r^{2}L$ )

Volume of larger cylinder = (3.14 × $2.5^{2}$ × 12 )

Volume of larger cylinder = 235.5 $in^{3}$

Volume of the rolling pin = 10.59 + 235.5

Volume of the rolling pin = 246.09 $in^{3}$

6 0

3 years ago

1. Carter will install fencing all around the flat area of his

MariettaO [177]

Answer:

Amount of fencing required = 75 yards

Step-by-step explanation:

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between A(3, 6) and B(3, -2) = $\sqrt{(3-3)^2+(6+2)^2}$

= 8 yards

Distance between B(3, -2) and C(-7, 4) = $\sqrt{(3+7)^2+(-2-4)^2}$

= $\sqrt{136}$

= 11.66 ≈ 12 yards

Distance between C(-7, 4) and D(-7, -2) = $\sqrt{(-7+7)^2+(4+2)^2}$

= 6 yards

Distance between D(-7, -2) and E(-3, -2) = $\sqrt{(-7+3)^2+(-2+2)^2}$

= 4 yards

Distance between E(-3, -2) and F(-3, -8) = $\sqrt{(-3+3)^2+(-2+8)^2}$

= 6 yards

Distance between F(-3, -8) and G(3, -8) = $\sqrt{(-3-3)^2+(-8+8)^2}$

= 6 yards

Distance between G(3, -8) and H(10, -12) = $\sqrt{(3-10)^2+(-8+12)^2}$

= $\sqrt{49+16}$

= $\sqrt{65}$

= 8.06 ≈ 8 yards

Distance between H(10, -12) and J(10, 6) = $\sqrt{(10-10)^2+(-12-6)^2}$

= 18 yards

Distance between A(3, 6) and J(10, 6) = $\sqrt{(10-3)^2+(6-6)^2}$

= 7 yards

Since length of fence required = perimeter of the flat area

Perimeter of the given area = 8 + 12 + 6 + 4 + 6 + 6 + 8 + 18 + 7

= 75 yards

Therefore, amount of fencing required = 75 yards

8 0

3 years ago