Complete question :
A traditional "square" bale of hay is actually in the shape of a rectangular prism. Its dimensions are 2 feet by 2 feet by 4 feet. How many square bales contain the same amount of hay as one large "round" bale of height is 4 ft and its width is 5 ft?
Answer:
4 bales
Step-by-step explanation:
Given :
Dimension of rectangular prism = 2 feet by 2 feet by 4 feet
Round Bale:
Height = 4 feets
Width = 5 feets
Volume of 'Square' Bale
Volume = 2 feets * 2 feets * 4 feets
Volume = 16ft³
Volume of 'round' Bale
V = πr²h
radius, r = 4/2 = 2 feet ;
V = π * 2^2 * 5
V = 62.831853 ft³
Volume of 'round' bale ÷ Volume of 'square' bale
62.831853 ft³ ÷ 16 ft³
= 3.9269908
= 4 (nearest whole number)
Another way to do it is
2x-y=17
x-y=10, x=10+y
substitute x=10+y for x in 2x-y=17 and get
2(10+y)-y=17
20+2y-y=17
20+y=17
subtract 20 from both sides
y=-3
subsitute y=-3 into equation x-y=10
x-(-3)=10
x+3=10
subtract 3 from both sides
x=7
or subsitute into 2x-y=17
2x-(-3)=17
2x+3=17
subtract 3 from both sides
2x=14
divide both sides by two
x=7
Answer:
Step-by-step explanation:
first pic
Statement. Reasons
1. AC is congruent to 1.Given
HF
2.BC is congruent to. 2. Given
FE
3. Measure angle ACB. 3. Right angles are congruent
is congruent to Measure
angle HFE
4. Triangle ABC is
congruent to Triangle HEF 4. SAS, side angle side
second pic
statement. reason
1.Angle K is congruent 1. Given
to angle M
2.KL equals ML. 2. Given
3.Measure angle KLJ. 3.Vertical angles are congruent
is congruent to Measure
angle MLP
4Triangle JKL is congruent. 4. ASA, angle side angle
to triangle PML
third pic
statement. reason
1. Already stated. 1. Already stated
2 PT congruent to RS. 2. Given
3. Angle PQT congruent 3. Verticle angles are congruent
to Angle RQS
4. trianlge PQT is congruent to Triangle RQS. 4. ASA, angle side angle
( hope this helps! )