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Ket [755]
2 years ago
10

1 2 3 4 5

Mathematics
1 answer:
mylen [45]2 years ago
7 0

Answer:

B) 8x10^(-8)

Hope it helps

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2. A diagonal shortcut across an empty
slava [35]

Answer:

D

Step-by-step explanation:

i added it

8 0
3 years ago
I really need help with this Triangle problem​
hjlf

Answer:

30

Step-by-step explanation:

pythagoras theorem

x

{x}^{2}

=225 \times 2 + 225 \times 2 \\

=900

x=30

3 0
2 years ago
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (5, 3), as shown in the figur
Whitepunk [10]

The area of the triangle as a function of x is A = 3x^2/[2(x -5)] and the domain is x > 5

<h3>Write the area A of the triangle as a function of x</h3>

From the figure, we have the following points:

(0,y), (5,3), and (x,0)

Next, we calculate the slopes between the points.

This is calculated as follows:

  • Slope between (0,y) and (5,3) = [y - 3]/[0 - 5] = [3 - y]/5
  • Slope between (5,3) and (x,0) = [3 - 0]/[5 - x] = 3/[5 - x]

The slopes are equal.

So, we have:

[3 - y]/5 = 3/[5 - x]

Cross multiply

(3 - y)(5 -x) = 15

Divide by 5 - x

(3 - y) = 15/(5 -x)

This gives

y = 3 - 15/(5 -x)

This gives

y = [15- 3x - 15]/[5 - x]

Evaluate

y = 3x/(x - 5)

The area is calculated as:

Area = 1/2 * xy

So, we have:

Area = 1/2 * x * 3x/(x - 5)

Evaluate

Area = 3x^2/[2(x -5)]

Hence, the area of the triangle as a function of x is A = 3x^2/[2(x -5)]

<h3>The domain of the function</h3>

We have:

A = 3x^2/[2(x -5)]

Set the denominator > 0

2(x - 5) > 0

Divide by 2

x - 5 > 0

Add 5 to the sides

x > 5

Hence, the domain is x > 5

Read more about domains at:

brainly.com/question/2428614

#SPJ1

6 0
2 years ago
The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.
Galina-37 [17]

The equation that could be used to determine the volume of Box B is (B = 14.325cm³ - 5.61cm³) and the volume of Box B is 8.715cm³.

This question is incomplete, the complete question is:

The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.

a. Let B represent the volume of Box B in cubic centimeters. Write an equation that could be used to determine the volume of Box B.

b. Solve the equation to determine the volume of Box B

<h3>What is volume?</h3>

Volume is simply the amount of space that is enclosed within a container.

Given that;

  • Sum of the volume of two rectangular prisms A&B = 14.325cm³
  • Volume of Box A = 5.61cm³

a)

Let B represent the volume of Box B in cubic centimeters. The equation that could be used to determine the volume of Box B will be;

Sum of the volume of two rectangular prisms A&B = Volume of Box A + Volume of Box B

14.325cm³ = 5.61cm³ + B

B = 14.325cm³ - 5.61cm³

Hence, The equation that could be used to determine the volume of Box B is B = 14.325cm³ - 5.61cm³

b)

To determine the volume of Box B, we solve the equation.

B = 14.325cm³ - 5.61cm³

B = 8.715cm³

Hence, the volume of Box B is 8.715cm³.

Learn more about volume rectangular prism here: brainly.com/question/9796090

#SPJ1

6 0
1 year ago
Which equation could represent "the area of a square as a function of a side"?
Katen [24]

Let

s-------> the side length of a square

we know that

The area of a square is equal to

A=s^{2}

convert to function notation

A(s)=s^{2}

therefore

<u>the answer is </u>

A(s)=s^{2}

3 0
3 years ago
Read 2 more answers
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