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ryzh [129]
3 years ago
14

If twelve pounds of nails cost $3.84 what is the unit cost A) 32c B) 28c C) 23c D) 18c

Mathematics
2 answers:
aalyn [17]3 years ago
7 0

Answer:

Option A) 32c

Step-by-step explanation:

we know that

To find the unit cost, divide the total cost of twelve pounds by twelve pounds

so

\frac{\$3.84}{12}=\$0.32

Remember that

1$=100 cents

Convert dollars to cents

\$0.32=0.32*100=32c

therefore

The cost of one pound of nails cost 32 cents

Alex Ar [27]3 years ago
7 0

Answer:

A 32c

Step-by-step explanation:

We have that 12 pounds of nails cost $3.84. To know the cost per unit we just need to divide $3.84 in 12, then:

\dfrac{\$3.84}{12}=\$0.32

Then the correct answer is A 32c

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Two corresponding sides of similar triangles are 2 cm and 5 cm. What is the area of the second triangle if the area of the first
Stella [2.4K]

Answer:

(1) Area of second triangle= 50 cm^2.

(2) Area of ΔABC=98 cm^2.

   and Area of ΔDFG=175 cm^2.

Step-by-step explanation:

<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>

i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:

\dfrac{a^2}{b^2}=\dfrac{A}{B}

(1)

for the first question:

we have a=2, b=5.

A=8 cm^2.

Hence,

\dfrac{2^2}{5^2}=\dfrac{8}{B}\\\\\dfrac{4}{25}=\dfrac{8}{B}

B=50 cm^2.

Hence, the area of second triangle is 50 cm^2.

(2)

In second option we have:

a=6 and b=5.

A-B=77 cm^2.

A=77+B

\dfrac{6^2}{5^2}=\dfrac{A}{B}\\  \\\dfrac{36}{25}=\dfrac{77+B}{B}\\  \\36B=25\times77+25B\\\\36B-25B=25\times77\\\\11B=25\times77\\\\B=25\times7\\\\B=175

Hence area of second triangle i.e. ΔDFG is 175 cm^2.

and area of first triangle i.e. ΔABC=175-77=98 cm^2.




8 0
2 years ago
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