there are 36 sums in the sample space 1 2 3 4 5 6 1 2 3 4 5 ...
there are 36 sums in the sample space 1 2 3 4 5 6 1 2 3 4 5 ...
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...
draw 2 radii to the points of tangency at right angles you have 2 right triangles one leg is 8.17 and the hypotenuse is 28.595-8.17=20.425 where 28.595 is 3.5R using the Pythagorean Theorem, the length of each tangent is 18.7198 using sin=opp/hyp sin=18.7198/20.425 sin=0...
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...
d=rt 50=rt (for train B) 50=2r*(t-1) (for train A) 50=rt implies r=50/t substitute 50=2(50/t)(t-1) multiply both sides by t 50t=100(t-1) 50t=100t-100 50t-100t=-100 -50t=-100 50t=100 t=2 hours 50=rt 50=r*2 r=50/2 r=25 mph for train B r=50...
A=l*w 7x^3-42x^2=l*(7x^2) l=(7x^3-42x^2)/(7x^2) l=(7x^3)/(7x^2)-(42x^2)/(7x^2) l=x-6
the line has slope -5/3 and goes through the origin the line is moving in a downward direction as you go from left to right (it looks like this: \ )
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
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...
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)
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)
y=mx+b where m=slope and b=y-intercept y=4x-3 which is D
(-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
12 cards altogether 4 cards are blue 8 cards are not blue P(NOT BLUE)=8/12=2/3
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 ...
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 ...
nCr*p^r*q^(n-r) n=# of trials, r=# of successes, p=prob event will occur, q=prob event will not occur [9!/(4!)(5!)]*[(1/6)^4]*[(5/6)^5] you can do the math
x=original length of the piece of metal 6*(x-35)=x 6x-210=x 6x=210+x 6x-x=210 5x=210 x=210/5 x=42 cm (original length) 42/6=7 and 7 is 35 less than 42
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.
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 &...