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Vlada [557]
1 year ago
15

Choose all lengths that are equal to 3 yards 16 inches.

Mathematics
1 answer:
Feliz [49]1 year ago
7 0

we are given

length =3 yards and 16 inches

now, we can change it in inches

we know that

1 yard =36 inches

so, we get

length =3*36 inches and 16 inches

length=124 inches

now, we will check each option

option-A:

we can see that this is also 124 inches

so, this is TRUE

option-B:

4 yd 4 in

we can change into inches

we know that

1 yard =36 inches

4 yd 4 in=4*36 inches +4 inch

4 yd 4 in=144 in

this is not equal to 124 in

so, this is FALSE

option-C:

3 yd 1 1/2 in

we know that

1 yard =36 inches

3 yd 1 1/2 in = 3*36+\frac{11}{2}

3 yd 1 1/2 in = 113.5 in

this is not same as 124 in

so, this is FALSE

option-D:

2 yd 52 in

we know that

1 yard =36 inches

2 yd 52 in =2*36+52

2 yd 52 in =124 in

so, this is same

so, this is TRUE

option-E:

10 ft 4 in

we know that

1 feet =12 inches

so,

10 ft 4 in=12*10 +4 in

10 ft 4 in=124 in

this is same

so, this is TRUE

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Ramona's backyard is fenced and represented by parallelogram YARD with measures in meters. She installed a 12-meters fence to se
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The fencing line x is the height of a rectangle triangle of base = y, hypothenuse of 9 m, so we use Pythagoras theorem to solve:

hyp^2 = height^2 + base^2
9^2 = x^2 + y^2
x^2 = 81 - y^2


we can see that x is also the height of another rectangle triangle of base = 15 - y, hypothenuse of 12 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
12^2 = x^2 + (15 - y)^2

lets expand:
144 = x^2 + 225 - 30y + y^2

substitute x^2 from the first equation in the last:
144 = 81 - y^2 + 225 - 30y + y^2
144 = 81 + 225 - 30y
30y = -144 + 81 + 225
y = 5.4 m

substitute in the fence equation:
x^2 = 81 - y^2
x^2 = 81 - 5.4^2
x = 7.2 m that is the length of the fence



3 0
1 year ago
Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digi
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Answer:

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2 years ago
Think about all of the ways in which a circle and a parabola can intersect. Select all of the number of ways in which a circle a
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Answer:

A circle can intersect a parabola in

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2. Two points [ When circle cuts the parabola in two distinct points. ]

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2 years ago
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Solve the inequality 47.75 + x Less-than-or-equal-to 50 to determine how much more weight can be added to Li's suitcase without
myrzilka [38]

Answer:

x is less-than-or-equal-to 2.25 (x ≤ 2.25)

Step-by-step explanation:

We can write down the inequality that represents the weight Li can add without going over the 50 pound limit:

47.75 + x ≤ 50

If we solve for x we have:

47.75 + x ≤ 50

x ≤ 50 - 47.75

x ≤ 2.25

Therefore, the weight Li can add to the suitcase is less-than-or-equal-to 2.25

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