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3 years ago

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16. The graph of a system of linear inequalities is

1 answer:

Maru [420]3 years ago

6 0

Answer:

Opt C

Step-by-step explanation:

Unlike Equations, Inequalities system, when graph, are not represented as a line or a curve, instead, they are represented as regions, the regions extend below or above the expression, acorrding to the equality sign.

In this exercise, we only have a graph of two inequalities, the region below the interception is the solution to the system, hence, any point located here satisfies the inequality system.

Point A. is outside the region, in fact, is above the line.

Point B is outside the interception region, is above the line as well.

Point D. is below de line, but, still is outside of the interception region.

Only point here is C, located below the line, inside the region of interception

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Find the area of this rhombus

Vikentia [17]

<h2>Hello!</h2>

The answer is:

The area of the rhombus is equal to 64 squared inches.

$area=64in^{2}$

<h2>Why?</h2>

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

$area=\frac{diagonal_{1}*diagonal_{2}}{2}$

From the image we can see that:

$diagonal_{1}=8in+8in=16in$

$diagonal_{2}=4in+4in=8in$

So, substituting, we have:

$area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}$

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!

7 0

4 years ago

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A sleeping bag weighs 8 pounds. Your backpack and sleeping bag together weigh 31 pounds. Write an equation to determine whether

const2013 [10]

Sleeping bag⇒S
backpack⇒B
S=8 pounds
S+B=31
8+B=31
B=31-8
<u>B=23 pounds</u>

<em>Answer: 23 pounds</em>

4 0

3 years ago

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A dinner cost $22 and a sales tax of $1.87 was added to the bill. How much would the sales tax be on a $66 dinner? What is the t

alexdok [17]

Answer:

The correct answer is the sales tax charged is $5.61 for $66 dinner at 8.5% tax rate.

Step-by-step explanation:

Cost of the dinner is $22. Tax levied on it is $1.87

Let x% is the rate of tax in the city.

Therefore, x% of 22 = 1.87

⇒ x = 1.87 × $\frac{100}{22}$ = 8.5

Therefore 8.5% is the tax rate in the city on foods.

Now another dinner costs $66.

Tax levied on it at the same percentage is given by 8.5% of 66 = $5.61.

Thus $5.61 as sales tax would be charged for a $66 dinner.

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3 years ago

HELP PLEASE!! I DON'T UNDERSTAND!!

Tom [10]

It should be 40 degrees

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3 years ago

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The diameter of a tennis ball is 6.44 cm. Find the volume. Use 3.14 for pi

sergeinik [125]

Answer:

The volume is 140 cm3. See the explanation below, please

Step-by-step explanation:

We use the formula:

Volume (V) = 4/3 pi r ^3

V= 4/3x 3, 14x (6,44/2)^3 = 139,8 cm3= 140 cm3

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3 years ago

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