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3 years ago

Which graph represents the solution set of the system of inequalities?

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

Step-by-step explanation:

The one with negative slope should be dotted (region below this line)

and the one with positive slope should be bold (region above this line)

You might be interested in

Five digt number divisible by 4 and 6

Dmitrij [34]

60,000 is divisible by both 4 and 6

7 0

3 years ago

A certain project can be completed by 28 men in 90 days. the numbers of men needed varies inversely to the time needed to comple

leva [86]

ANSWER

C. 35 men

EXPLANATION

Let m represent the number of men needed and d represent the number of days.

From the question,the number of men needed varies inversely to the time needed to complete the project.

We can write the inverse variation equation.

$m = \frac{k}{d}$

where k is the constant of variation.

When m=28, d =90.

We substitute these values into the variation equation to determine the value of k.

$28 = \frac{k}{90}$

$k = 90 \times 28$

$k = 252$

Now the equation becomes:

$m= \frac{2520}{d}$

When d=72,

$m = \frac{2520}{72}$

$m = 35$

Therefore he needs to have 35 men working.

3 0

4 years ago

A road has a grade of 28.4%. This means that the road rises 28.4 ft over a horizontal distance of 100 ft. What angle does the hi

MrRa [10]

The angle would be the tangent.

Tangent ( angle) = opposite leg/ adjacent leg

Tangent angle = 28.4/100

Angle = tan^-1(28.4/100)

Angle = 16 degrees

3 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h a

Arada [10]

Answer:

Volume of the sphere is 66.67r/h

Step-by-step explanation:

Hello,

Volume of a sphere = ⁴/₃πr³

Volume of a cylinder = πr²h

The volume of the cylinder = 50ft³

But the cylinder and sphere both have the same radius and height

Volume of a cylinder = πr²h

50 = πr²h

Make r² the subject of formula

r² = 50/πh

Volume of a sphere = ⁴/₃πr³

Put r² into the volume of a sphere

Volume of a sphere = ⁴/₃π(50/πh)r

Volume of a sphere = ⁴/₃ × 50r/h

Volume of a sphere = ²⁰⁰/₃ r/h

Volume of a sphere = 66.67r/h

The volume of the sphere is 66.67r/h

7 0

4 years ago

Which fraction is equivalent to 2/5? <br> A. 4/10 <br> B. 2/10 <br> C. 1/2 <br> D. 4/6

Lelechka [254]

Hey there James!

So, just remember, 2/5 is almost half of 1.

When it is almost half of 1, this means that it would have to be 2.5/5

This would mean that 4/10 would be your answer, because it is almost half of 1 also.

Hope this helps.

6 0

4 years ago