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2 years ago

Find x using the ratio of the sides 12 cm and 16cm

Mathematics

1 answer:

Marysya12 [62]2 years ago

5 0

Answer:

the ratio of the following x is 3/4

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3 years ago

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10. Make Sense and Persevere The flag of the

kumpel [21]

Answer:

$s=\frac{P}{3}$
Dimensions of the flag:

$lenght=6.65\ ft\\\\width=3.5\ ft$

Area of the flag: $23.275\ ft^2$

Step-by-step explanation:

The missing figure of the exercise is attached.

We know that the perimeter of the triangle is given by:

$P= 3s$

Where "s" is the side lenght of the triangle.

Solving for "s", we get:

$s=\frac{P}{3}$

Therefore, if the perimeter of the triangle is 126 inches, its side length is:

$s=\frac{126\ in}{3}\\\\s=42\ in$

Since $1\ ft=12\ in$ , we know that "s" in feet is:

$s=(42\ in)(\frac{1\ ft}{12\ in})=3.5\ ft$

The area of a rectangle can be calculated with this formula:

$A=lw$

Where "l" is the lenght and "w" is the width

We can observe in the figure that the lenght and the width of the flag are:

$l=1.9s\\w=s$

Then, the dimensions of the flag are:

$l=1.9(3.5\ ft)=6.65\ ft\\w=3.5\ ft$

And the area is:

$A=(6.65\ ft)(3.5\ ft)=23.275\ ft^2$

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3 years ago

Square root of a^6 * b^3/ 98 simplified

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√(a^6b³) = a³√b³ = a³√b³ = a³√b³
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3 years ago

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3 years ago

Michael worked 42 hours last week. His regular pay is $10.00 per hour. He is paid 1 1/2 times his regular pay for overtime hours

vladimir1956 [14]

Answer:

$430

Step-by-step explanation:

Total hours worked by Michael = 42 hours

hours worked by Michael in excess of 40 hour = 42 - 40 = 2 hour

thus,

Michael worked 2 hours overtime.

money paid for working 1 hour in regular pay = $10.00

money paid for working 40 hour in regular pay = $10.00*40 = $400

lets calculate money paid to him for over time

given

Michael is paid 1 1/2 times his regular pay for overtime hours

Money paid for overtime for 1 hour = 1 1/2 *money paid for working 1 hour in regular pay

Money paid for overtime for 1 hour = 3/2 *$10 = $15

Money paid for 2 hours work overtime = $15*2 = $30

Thus,

gross pay for 42 hours work for Michael = $400 + $30 = $430

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3 years ago

Find x using the ratio of the sides 12 cm and 16cm​

Find x using the ratio of the sides 12 cm and 16cm