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4 years ago

Can someone please help me with this? With a clear explanation please, thanks!

Mathematics

1 answer:

damaskus [11]4 years ago

4 0

I howled this is correct.

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Find the area of this sector

Natalija [7]

Answer:

7π mm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{280}{360}$ ( r is the radius )

= π × 3² × $\frac{28}{36}$

= 9π × $\frac{7}{9}$ ( cancel the 9's )

= π × 7

= 7π mm²

4 0

3 years ago

Read 2 more answers

Explain why molecules do not have electric charges

Tomtit [17]

Because, the total number of electrons is equal to the number of protons.

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4 years ago

Based on information below (2 countries x 2 products), if US has comparative advantage in producing Rice, what can you say about

olga55 [171]

Answer:

Check the explanation

Step-by-step explanation:

US has a comparative advantage in producing rice.

This means US's opportunity cost of producing rice is less than that of Korea.

Korea's opportunity cost of producing rice will be given as:

For producing 9 units of Rice, Korea gives up 5 cars.

For producing 1 unit of rice's, Korea will give up 5/9 units of car.

Kindly check the image below.

7 0

3 years ago

one bag holds 12 bolts. several bags filled with bolts are packed into a box and shipped to the factory The box contain a total

puteri [66]

there are 230 bags of bolts in the box because with 12 bolts per bag, you divide the total number of bolts by the number per bag to get the number of bags :)

6 0

3 years ago

Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago