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2 years ago

What is the measure of secant DE?

Mathematics

1 answer:

Neko [114]2 years ago

7 0

Answer:

$ED=32\ units$

Step-by-step explanation:

we know that

Applying the Intersecting Secant Theorem

$AC*BC=EC*DC$

substitute the values

$(16+5)*(5)=(ED+3)*(3)$

Solve for ED

$(21)*(5)=(ED+3)*(3)$

$35=(ED+3)$

$ED=35-3=32\ units$

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The volume of a sphere is 5000 pi m 3 what is the surface area

Nikitich [7]

$V = \frac{4}{3}\pi r^3
\\ 5000\pi = \frac{4}{3} \pi r^3
\\ 5000 = \frac{4}{3} r^3
\\ \frac{3}{4} * 5000 = r^3
\\ 3750 = r^3
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2 years ago

Of the $2400 Mr Calvin earned, he spent 3/8 on food, 1/3 on taxes and 1/6 on other expenses. Find out how much all this is in do

sattari [20]

Answer: $300

Step-by-step explanation:

Mr. Calvin earned $\$2400$

He spent $\frac{3}{8}$ on food i.e.

$\Rightarrow \dfrac{3}{8}\times 2400=\$900$

$\dfrac{1}{3}\quad \text{on taxes i.e.}\\\\\Rightarrow \dfrac{1}{3}\times 2400=\$800$

$\dfrac{1}{6}\ \text{on other expenses i.e.}\\\\\Rightarrow \dfrac{1}{6}\times 2400=\$400$

Remaining money = $2400-900-800-400=\$300$

So, he saved $300 after expenses

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2 years ago

Given the center and radius of a circle, write the equation of the circle.

Mashutka [201]

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calc

Circle Center Formula: (x - h)² + (y - k)² = r²

(h, k) is center
r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

(h, k) = (-2, 1)

r = 5

Step 2: Find Equation

Substitute in variables [Circle Center Formula]: (x - -2)² + (y - 1)² = 5²
Simplify: (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

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Mnenie [13.5K]

Greeting to you! My name is Cecille and I’m here to answer that question

For more explanation, please see the attachment

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Mrrafil [7]

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