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dangina [55]
3 years ago
12

What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequaliti

es? y ≥ 1 x ≥ 1 y ≤ 4 x ≤ 6 The polygon obtained by graphing the system of inequalities is a . The area of the polygon bounded by the inequalities is square units.
Mathematics
1 answer:
aalyn [17]3 years ago
8 0
Hello,

Vertex are:
(1,1),(6,1),(1,4),(6,4=
Area=(6-1)*(4-1)=5*3=15

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For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finishe
emmasim [6.3K]

Answer:

D. 3 Points

Step-by-step explanation:

Given

Members = 3

Point = 9 - n

1 \leq\ n \leq 8

Required

Determine the least possible score

The least point a member of a team can get is when n = 8.

i.e.

Point = 9 - n

Point = 9- 8

Point = 1

To get the least score, each of the 3 members must have 1 point each.

So:

Total = 3 * 1

Total = 3

5 0
3 years ago
Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

\displaystyle \rho=\frac{m}{V}

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

m=\rho.V

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3

Calculating:

V=523.6\ cm^3

The mass is:

m=8.09 gr/cm^3 \cdot 523.6\ cm^3

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0
3 years ago
What is the value of the expression when t is equal to 15? 2t divide 3
goblinko [34]
If we take the value of t to be 15 and then we perform the calculations of 2 times t divided by 3, we can express it all by two equations substituting the value given for t like so:
t = 15
2t/3 = 2(15)/3 = 30/3 = 10
3 0
3 years ago
Please help me with these ty!!!!
Digiron [165]
This is pretty simple the first one is the second option the second one is the third option the third one is the third option and the fourth one is the first option
4 0
3 years ago
kalia spent a quarter of her weekly allowance on a movie. the movie was $4.25. WHat is her weekly allowance
Montano1993 [528]

Answer:

$17

Step-by-step explanation:

Think about it like this.

$4.25 is equal to 0.25 * x value, where x is the weekly allowance

$4.25=0.25x

$17=x

7 0
2 years ago
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