You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle. the other side is called the hypotenuse which is the longest side which you should have labeled 'c'
so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out
so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11
11x+5
11(5)+5
55+5=60
side b=60
12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
Answer:
0.578
Step-by-step explanation:
If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Given that there are 14 orders at the ratio by of:
6 with hot peppers
8 without hot peppers
At most two have hot peppers.
Binomial Problem with n = 3 ; p(hot) = 6/8
P(0<= x <=2) = 1 - P(x = 3)
= 1 - (6/8)^3
= 1 - ( 3/4 )^3
= 1 - ( 27/64 )^3
= 1- (37/64)
= 1 - 0.421875
= 0.578125
= 0.578
Answer:
Shaneeka live from Phil 7/33 mile far.
Step-by-step explanation:
Given:
Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka.
Now, to get how far does Shaneeka live from Phil.
So, by subtracting the distance from 6/11 mile north where Ben lives from Phil to 1/3 mile north where Ben lives from Shaneeka:
Therefore, Shaneeka live from Phil 7/33 mile far.
Answer: h= 69.3m
Step-by-step explanation:
The correct values in the question are:
year : 2006, length 62, vertical height 62.
So, the measure asked is called slant height . we have to apply the formula:
sh = √(vh^2 + [L/2]^2)
Where:
vh= vertical height
L= length of a side of the square base
Replacing with the values given:
sh= √(62^2 + [62/2]^2)
sh = √(3,844 + 31^2)
sh= √(3,844 + 961)
sh = √4,805
hs= 69.31 =69.3 m (nearest tenth)
Since in the question that height is called h, h= 69.3
