Answer:
5-18 answers below ↓
Step-by-step explanation:
5) 14/2=7
7^2=49
10^2=100
h^2+49=100
-49 -49
h^2=51 h=✓51= 3•17
6) 48/2= 24
24^2=576
44^2=1936
h^2+576=1936
-576 -576
h^2=1360 h=✓1360= 4•340
7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)
576+b^2=1024
-576 -576
b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..
8) 24^2+b^2=45^2
576+b^2=2025
-576 -576
b^2=1449 b=✓1449=9•161 length of 3rd side hypo..
9) 40^2+b^2=85^2
1600+b^2=7225
-1600 -1600
b^2=5625 b^2=✓5625 b=75 length of 3rd side leg
10) 49^2+b^2=168^2
2401+b^2=28,224
-2401 -2401
b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..
11) 72^2+b^2=78^2
5184+b^2=6084
-5184 -5184
b^2=900 b=✓900=30 length of 3rd side leg
12) 7^2+x^2=10^2
49+x^2=100
-49 -49
x=51=3•17
13) 12^2+x^2=28^2
144+x^2=784
-144 -144
x=✓640=4•160
14) 44^2+x^2=52^2
1936+x^2=2704
-1936 -1936
x=✓768=4•192
15) 120^2+h^2=125^2
14,400+h^2=15,625
-14,400 -14,400
h^2=1,225 h=✓1225 h=35
16) might be wrong but worth a try 8+8=16
16^2+x^2=16^2
256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:
Answer:
P(S ∪ T) = 3/4
Step-by-step explanation:
Given:
For mutually exclusive events S and T,
P(S ∪ T) = P(S) + P(T)
Therefore,
P(S ∪ T) = (5/8) + (1/8)
= 6/8
= 3/4
Answer: A.Lauren and Christy sold cookies for $0.50 each and glasses of lemonade for $1.10 each.
To get $17.20 you have to multiply the price of cookies by how many cookies you sold plus the cost of lemonade by how many glasses of lemonades were sold. Hope this helps!
W= width
l= length= 2w-3
Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)
Set each set of parentheses equal
to 0 and solve for width.
0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE
0=w-6
6 cm=w
-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.
length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm
CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54
ANSWER: width= 6cm; length= 9cm
Hope this helps! :)
