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Arthur D.'s Resources

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to make this easy to understand let the sales in July be 100 20% of 100=20 August sales were 100+20=120 10% of 120=12 September sales were 120+12=132 100 to 132 is (132-100)/100=32/100=32% increase   or,... x+0.2x=1.2x 0.1*1.2x=0.12x 1.2x+0...

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1) do you mean a^2+4ap-32p^2 ?? if so, 4*8=32 and 8-4=4, the coefficient of the middle term (a    p)(a    p) so far... (a   8p)(a   4p) so far... (a+8p)(a-4p) is the answer   2) lxl<12 means x<12 or...

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triangles topic (answer)

in two similar triangles, the ratio of their areas is the square of the ratios of their sides ratio of their sides is AB/AD=2/1 (2/1)^2=4/1

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triangles topic (answer)

scalene means no two sides are equal in length in any triangle the sum of the measures of any two sides must be greater then the measure of the third side 8+13=21 a) 25-21=4, and  8, 13, 4 doesn't work because 8+4 is not greater than 13 b) 27-21=6, and 8, 13, 6...

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triangles topic (answer)

A=(1/2)bh A=(1/2)(4)(4)   (the other side is 4 also and the sides are the base and height) A=(1/2)(16) A=8, which is c)

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triangles topic (answer)

you mean angle ABC is 45 degrees therefore angle ACB is 45 degrees you have an isosceles right triangle the hypotenuse is always the measure of a side times √2 BC=5√2 (or you can use the Pythagorean Theorem to show this also)

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Math problem (answer)

y=mx+b where m=slope and b=y-intercept y=4x-3 which is D

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Math problem (answer)

(-3,5), (2,10) slope=(10-5)/(2-[-3])=5/5=1 y=mx+b where m=1 y=x+b use either point 10=2+b b=8 y=x+8 which is A  

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base 26 has the following values:26^0, 26^1, 26^2, 26^3, 26^4, 26^5, 26^6, ...   26^0=1, 26^1=26, 26^2=676, 26^3=17,576, 26^4=456,976, 26^5=11,881,376 you see that we only need 5 places   456,976     17,576,     676    ...

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7r^2+48r=64 7r^2+48r-64=0 multiply 7*64 in factored form 7*2*2*2*2*2*2 now group the factors so that the two factors subtract to make 48 (7*2*2*2)*(2*2*2)=56*8 and 56-8=48 now factor (7r     )(r     )=0 so far (7r   8)(r  ...

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Draw 2 triangles with the information given but have one with <V acute and the other with <S obtuse. Do this by making SR shorter than UV. You'll see that the triangles aren't congruent.

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x=asinθ √(a^2-x^2) x^2=(asinθ)^2 x^2=a^2(sin^2(θ)) substitute √(a^2-[a^2(sin^2(θ))]) factor √[a^2(1-sin^2(θ)] sin^2(θ)+cos^2(θ)=1 cos^2(θ)=1-sin^2(θ) substitute again √(a^2)(cos^2(θ)) a cos(θ) is the answer after simplifying the radicand &...

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