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2 years ago

Find the total surface area of this cone.

Mathematics

1 answer:

jekas [21]2 years ago

3 0

Answer:

36 pi

Step-by-step explanation:

pi r l + B

pi (4) 5 + pi (16)

36 pi

(l is solved by 4^2 + 3^2)

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What is the value of 47 × 12 + 12 × 53 + 53 × 8 + 8 × 47?

OLga [1]

The answer is 2,000.

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3 years ago

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What is the measure of angle G?

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Is measure of the angle G, 78?

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3 years ago

Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125

liq [111]

For the given equation;

$(3x-5)^2=-125$

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

$\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}$

Now that we have expanded the left side of the equation, we would have;

$\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}$

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}$

ANSWER:

$x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}$

3 0

10 months ago

the area of a window is 40 square feet. the length is the square root of 20 feet. what is the width of the window

Irina18 [472]

----------------------------------------------------
Given information
----------------------------------------------------
Area = 40ft²
Length = √20 ft

----------------------------------------------------
Formula
----------------------------------------------------
Area = Length x Width

----------------------------------------------------
Find Width
----------------------------------------------------
40 = √20 x width
Width = 40 ÷ √20
Width = 40 ÷ 2√5
Width = 20 ÷ √5
$Width = \frac{20}{ \sqrt{5} }$

$Answer: \boxed {Width = \frac{20}{ \sqrt{5} }}$

3 0

3 years ago

3/12+ = 7/12 as a faction <br><br> please help me

ohaa [14]

Answer:

10/12 or simplified its 5/6

Step-by-step explanation:

3+7 = 10

you keep the 12

10÷2 = 5

12÷2=6

common denominator

6 0

3 years ago