Mathematics : asked on kward591
 11.10.2022

Multiply and simplify.
(2√5 - √10)*(5√2 + √10)

. 0

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Mathematics
Step-by-step answer
P Answered by Specialist

=10\sqrt{10}+10\sqrt{2}-10\sqrt{5}-10

Step-by-step explanation:

  (2\sqrt{5} -\sqrt{10})(5\sqrt{2}+\sqrt{10})

=2\sqrt{5}\cdot5\sqrt{2}+2\sqrt{5}\sqrt{10}-5\sqrt{2}\sqrt{10}-\sqrt{10}\sqrt{10}

=10\sqrt{10}+2\sqrt{50}-5\sqrt{20}-10

=10\sqrt{10}+2\sqrt{25 \cdot 2}-5\sqrt{4 \cdot5}-10

=10\sqrt{10}+2\sqrt{25}\sqrt{2}-5\sqrt{4}\sqrt{5}-10

=10\sqrt{10}+2\cdot5\sqrt{2}-5\cdot2\sqrt{5}-10

=10\sqrt{10}+10\sqrt{2}-10\sqrt{5}-10

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics
Step-by-step answer
P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Mathematics
Step-by-step answer
P Answered by PhD

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 6 gallons =$15

Cost of 1 gallon =15/6

                           =$2.5

Cost of 7 gallons=$2.5 * 7

                           =$17.5

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