Answer: 32
Step-by-step explanation:
we have in this case right triangle with a leg equal to 24 and a hypotenuse equal to 40
c^2=a^2+b^2
40^2=24^2+b^2
b^2=1600-576=1024
b=sqrt1024=32
1)96/8=12
2)(95*6+5)/6 : (24+1)/3 = (95*6+5)/6 : 2*25/6 = 575/6 *6/50=575/50
=23/2=11 1/2
11 1/2
3) (11 1/2)*12 area of the one type of the wall, there are 2 such walls
(11 1/2)*12*2
(8 1/3)*12 area of the second type of the wall, there are 2 such walls
(8 1/3)*12 *2
Altogether area of the walls:
(11 1/2)*12*2 + (8 1/3)*12 *2=12*2(11 1/2 + 8 1/3)= =24(19+3/6+2/6)=24(19+5/6) = 456 +24*(5/6)= 456+20= 476
Tamara needs total 476 square feet, which is less than 480 square feet, so she has enough paint.
1. The winner threw the ball 175 ft, so what we want to do now is we convert (175) ft into yd.
We already know that 1ft= 1/3 yd, so the distance in yd is:
175 ft* (1/3 yd/ 1 ft) = 58 1/3 yd.
The answer is A. 58 1/3 yards.
2. 75 min* (4.5 miles/ 15 min)= 22.5 miles.
The correct answer is D. 22.5
3. Let's say that there are 4 weeks in a month. There are 5 weekdays in a week, so the number of weekdays in a month is:
5 weekdays/ 1 week* (4 weeks/ 1 month)= 20 weekdays/ 1 month.
Alex runs 5.9 miles/ 1 weekday, so the number of miles he runs every month is:
(5.9 miles/ 1 weekday)* (20 weekdays/ 1 month)= 118 miles/ month.
The nearest number to 118 is 120, so the answer is D.120 miles
4. 10 sweaters to 8 shirts:
10:8= 10/8= 5/4
The answer is B. 5/4
Hope this would help~
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