Help its due in 20 minutes please

Which of the following is the name for an algebraic statement that includes the greater-than or less-than symbols?

Klio2033 [76]

The correct answer is D: Inequality.

4 0

3 years ago

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I’m in need of help on this please

STALIN [3.7K]

Answer:

Im going to use the Pythagorean theorem.

a^2+b^2=c^2

Line AB is A, line CB is B, and line AC is C.

4^2+2^2=c^2

4^2=16 and 2^2=4

16+4=20^2=4.5

4.5 shoudl be your answer.

-Seth

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3 years ago

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The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of

san4es73 [151]

Part a) Find the expression that gives the perimeter of ∆XYZ

we know that

Perimeter of triangle ABC is equal to

$P=30+40+60\\ P=130\ units$

In this problem ∆ABC and ∆XYZ are similar triangles

the scale factor is equal to r

so

$scale\ factor=r \\ \\ scale\ factor=\frac{perimeter\ triangle\ XYZ}{perimeter\ triangle\ ABC} \\ \\ perimeter\ triangle\ XYZ=perimeter\ triangle\ ABC*scale factor\\ \\ perimeter\ triangle\ XYZ=130*r$

therefore

the answer Part a) is

The expression that gives the perimeter of ∆XYZ is $130*r\ units$

Part b) Find the expression that gives the area of ∆XYZ

we know that

$Area\ of\ triangle\ ABC=n\ units^{2}$

$scale\ factor=r \\ \\ scale\ factor^{2}=\frac{Area\ triangle\ XYZ}{Area\ triangle\ ABC} \\ \\ Area\ triangle\ XYZ=Area\ triangle\ ABC*scale factor^{2}\\ \\ Area\ triangle\ XYZ=n*r^{2}\ units^{2}$

therefore

the answer Part b) is

The expression that gives the Area of ∆XYZ is $n*r^{2}\ units^{2}$

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3 years ago

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∠A and ∠B are supplementary. The measure of ∠A is 96°. What is the measure of ∠B? Enter your answer in the box. °

Fiesta28 [93]

Answer:

∠B = 84

Step-by-step explanation:

Supplementary angles add up to 180°, You would subtract 96 from 180 to find angle B.

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3 years ago

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The owners of a recreation area are filling a small pond with water. Let be the total amount of water in the pond (in liters). L

EleoNora [17]

Answer:

As we can see the domain is the:"number of minutes water has been added". And from the information given the values for T are between 0 and 60 so then the set of values would be "the set of all real numbers from 0 to 60", and we start from 0 because the time can't be negative.

For the range who represent "amount of water in the pond (in liters)" we need to analyze the possible values for W, since T is defined between 0 and 60 the limits for W are:

$W(0) = 35*0 +300 = 300$

$W(60) = 35*60 +300= 2400$

So then the set of values for the range are "the set of all real numbers from 300 to 2400" liters.

Step-by-step explanation:

Assuming this complete problem: "The owners of a recreation area are filling a small pond with water. Let W be the total amount of water in the pond (in liters). Let T be the total number of minutes that water has been added. Suppose that $W = 35T+300$ gives as a W function of during the next 60 minutes.

Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values. "

Solution to the problem

As we can see the domain is the:"number of minutes water has been added". And from the information given the values for T are between 0 and 60 so then the set of values would be "the set of all real numbers from 0 to 60", and we start from 0 because the time can't be negative.

For the range who represent "amount of water in the pond (in liters)" we need to analyze the possible values for W, since T is defined between 0 and 60 the limits for W are:

$W(0) = 35*0 +300 = 300$

$W(60) = 35*60 +300= 2400$

So then the set of values for the range are "the set of all real numbers from 300 to 2400" liters.

3 0

3 years ago

Help its due in 20 minutes please​

Help its due in 20 minutes please