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3 years ago

1/3 of 12 = 2/3 of ?

Mathematics

2 answers:

Klio2033 [76]3 years ago

8 0

Answer:

Step-by-step explanation:

1/3 × 12 = 4

2/3 × ? = 4

? = 4 × 3/2

? = 6

Sunny_sXe [5.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

1/3 * 12 = 4

4 * 3/2 = 6.

Checking 2/3 of 6 = 2/3 * 6

= 4.

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How do you use equivalent fractions to compare the fractions in each pair

Alenkasestr [34]

Firstly you need to to reduce to a common denominator by multiplYing the whole fraction. This way you have to multiply 4/5 by 2 (both numerator and denominator). so 4/5 = 8/10. And now you have 8/10 and 9/10. You compare only numerators. This way you have 8/10 <9/10. Same goes for 2/3 and 5/8. Only here you need to multiply both fractions. The common denominator here is 24. So you have to multiply 2/3 by 8 and 5/8 by 3. You now have to compare 16/24 and 15/24. 16/24>15/24.

8 0

3 years ago

A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o

DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground = $\angle ACB = 45^{\circ}$

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

$Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB$

Hence The height of tree house is 70.71 feet

8 0

3 years ago

N/45=1/15<br> a. n= 1/3<br> b. n=4<br> c. n=675<br> d. n=3

jek_recluse [69]

Answer:

n=3

Step-by-step explanation:

n/45=1/45

cross multiplying

15n=45

n=45/15

n=3

5 0

3 years ago

Use properties of operations to complete the equivalent expression. 5(y+9)=___y+___ 5(y+9)=nothingy+nothing

laiz [17]

Answer:

5y+45

Step-by-step explanation:

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3 years ago

Hi can you please help me with my work

LekaFEV [45]

The answer is 5 3/8”

7 0

3 years ago