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3 years ago

How to simplify 2i<6u

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

8 0

Divide both sides by 2. what you do to one side you have to do to the other so in this case it would be: i<3u

Nostrana [21]3 years ago

7 0

Divide 2 at both side
so the final answer is i<3u

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Quadrilateral ABCD is a parallelogram. What is the length of AD?

matrenka [14]

Answer:

-5

Step-by-step explanation:

ab = dc

x+15= 3x+25

2x = -10

x = -5

substituting in ad and bc

-10+18 = 8

3-(-5)=3+5=8

6 0

3 years ago

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical

Korolek [52]

Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.

Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store?

$p = \frac{78}{100} = 0.78$

78% probability that a randomly selected online customer does not live within 50 miles of a physical store.

4 0

3 years ago

The volume of a right circular cone with both

Rufina [12.5K]

Question:

The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.

What is the value of h?

Answer:

A. 5

Step-by-step explanation:

Given

Solid Shape: Cone

Volume = 250/7

Diameter = Height

Required

Find the height of the cone

Provided that the diameter (D) and the height (h) are equal; This implies that

D = h ------ (1)

Also, Diameter (D) = 2 * Radius (r)

D = 2r

Substitute 2r for D in (1)

2r = h

Multiply both sides by ½

½ * 2r = ½ * h

r = ½h

Volume of a cone is calculated by;

Volume = ⅓πr²h

⅓πr²h = 250/7

Substitute ½h for r

$\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}$

Take π as 22/7, the expression becomes

$\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}$

Open the bracket

$\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}$

Multiply both sides by 7

$7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7$

$\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250$

Multiply both sides by 3

$3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3$

$22 * \frac{1}{4}h^2 * h = 750$

Multiply both sides by 4

$4 * 22 * \frac{1}{4}h^2 * h = 750 * 4$

$22 * h^2 * h = 3000$

$22 * h^3 = 3000$

Divide both sides by 22

$h^3 = \frac{3000}{22}$

$h^3 = 136.36$

Take cube root of both sides

$h = \sqrt[3]{136.36}$

$h = 5.15$

$h = 5$ (Approximated)

6 0

3 years ago

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mote1985 [20]

Answer: 240 feet squared

Step-by-step explanation: A=(b1+b2)h is formula used for trapezoids.

Plug the appropriate numbers in and solve.

7 0

3 years ago

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AURORKA [14]

( )( ) 1 4 64 2 2 x + + y + = 2. ( ) 3 ( 1) 32 2 2 x − + y + = 3. Center (1, 1); radius 2 4. Center (0, -3); radius 7

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4 years ago