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Sergeu [11.5K]
3 years ago
11

Calculate the length of AC to one decimal place in the trapezium below.

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Answer:

First we will split trapezium on two geometric figure.

One is rectangle and the second is right triangle.

When we subtract 11-4=7cm  we get one cathetus of the right triangle a=7cm also we know hypotenuse which is c=16cm.

We will use Pythagorean theorem to find the second cathetus b

b=√16∧2-7∧2= √256-49= √207 ≈ 14.39cm =DC =>

AC =√(DC)∧2+(AD)∧2= √14.39∧2+11∧2= √207+121= √328= 18.1cm

AC=18.1cm

Good luck!!

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Answer:

Option (2). Increasing x > 0; decreasing x < 0

Step-by-step explanation:

Equation of the parabola having vertex (0, 3) will be,

y = (x - 0)² + 3

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To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,

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Therefore, function is increasing in x > 0

Option (2) is the answer.

8 0
3 years ago
A recipe requires sugar, flour and cocoa in the ratio 5:4:1
WARRIOR [948]
Let x be the amount of cocoa you use in the recipe.

then 4x is the amount of flour used, and 5x is the amount sugar used.

x+4x+5x= 550g
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So, you use 55g of cocoa, 220g of flour, and 275g of sugar. 

hope this helps! :)
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3 years ago
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maw [93]

Answer:

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Answer:

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Step-by-step explanation:

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