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4 years ago

Can someone help me with this question

Mathematics

1 answer:

vesna_86 [32]4 years ago

8 0

Answer: a (see explanation below) .b.) rhombus .c) trapezoid in USA or trapezium elsewhere in the world

Step-by-step explanation:

For a.) Draw a horizontal from the bottom vertex, extending 2 units to the right. Then form a triangle by connecting a line from the right end of that line up to the right angle at the top of the original triangle

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Mai and Elena are shopping for back-to-school clothes. They found a skirt that originally cost $30 on a 15% off sale rack. Today

Dmitry [639]

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3 years ago

A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend

Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b² + (5 + x)²...............(1)

using similarity of triangle

$\dfrac{x}{6}=\dfrac{5+x}{b}$

$b=\dfrac{5+x}{x}6$

from equation (1)

$L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2$

$= (5+x)^2(1+\dfrac{36}{x^2})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})$

for maxima or minima

$\frac{\mathrm{d} L^2}{\mathrm{d} x}=0$

x = -5 and x = ∛190 = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

7 0

3 years ago

Original price: $20 Discount %: 35%

dangina [55]

Answer:

$13 or $7 off

Step-by-step explanation:

20-35%=13

So that means that it is $7 off and it is now $13

4 0

3 years ago

Use a quadratic equation to find two numbers whose sum is 5 and whose product is - 24.

prisoha [69]

Hello
if m s : sum and p : product
the quadratic equation is : x²-sx+p=0
s = 5 p=-24
x²-5x-24 = 0

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4 years ago

Rewrite the phrase using the commutative properties. x + y

rodikova [14]

Answer: y+x

Step-by-step explanation: The commutative property is like no matter how much you switch the numbers around you gonna get the same answer

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3 years ago