The bases of the trapezoid are 27 feet and 7 feet long. It has a area of 68 square feet. What is the height of the cross section

Mathematics

1 answer:

Vinvika [58]3 years ago

3 0

Answer:

Step-by-step explanation:

A trapezoid area is a rectangle area plus one or two trianagles areas on each end

Area of a trapezoid =( base 1 x height) + ((1/2)(base 2 - base 1) x height)

solve for height

factor out the height

Area = height [ base 1 + 1/2(base 2 - base 1)]

divide both sides by [ base 1 + 1/2(base 2 - base 1)]

Area / [(base 1 + 1/2(base 2 - base 1)] = height

plug and chug

68 / ( 7 + (1/2)(27 - 7) = height

height = 68 / (7 + (1/2)(20))

= 68 / 17

= 4 ft <-------------- FINAL ANSWER

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A circle is defined by the equation given below.

tatyana61 [14]

Answer:

(1/2, 1)

Step-by-step explanation:

x² + y² − x − 2y − 11/4 = 0

x² − x + y² − 2y = 11/4

Complete the squares.

x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1

(x − 1/2)² + (y − 1)² = 4

The center of the circle is (1/2, 1) and the radius of the circle is 2.

5 0

3 years ago

Question is down below

Bingel [31]

This is a great question!

To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -

$Probability( 2 Liquorice) = 12 / 20 * 11 / 19$

As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -

$Probability(2 Mint ) = 5 / 20 * 4 / 19,\\Probability( 2 Humbugs ) = 3/20 * 2/19$

____

Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!

$1-\left(\frac{132}{380}+\frac{20}{380}+\frac{6}{380}\right) =\\\frac{111}{190}$