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2 years ago

A suitcase measures 24 inches long and 18 inches high, what is the diagonal length of the suitcase?

Mathematics

2 answers:

mixer [17]2 years ago

8 0

Answer:

the diagonal is 30 inches

Step-by-step explanation:

you assume a suitcase is a rectangular shape, and the diagonal length makes 2 right triangles; therefore you can use Pythagorean theorem

$a^{2}$ + $b^{2}$ = $c^{2}$ ; where a = 24, b = 18 and c is the diagonal

$24^{2}$ + $18^{2}$ = $c^{2}$

$c^{2}$ = 576 + 324

$c^{2}$ = 900

c = 30 inches

pickupchik [31]2 years ago

5 0

Answer:

The diagonal is 30 inches

Step-by-step explanation:

Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this

a² + b² = c²

so we plug our two values to find the diagonal (hypotenuse)

24² + 18² = c²

576 + 324 = c²

900 = c²

c = √900

c = 30

The diagonal is 30 inches

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Determine the discount between the point(-4,2) and the line 4y=3×+6

frozen [14]

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

6 0

2 years ago

F as a function of x is equal to the square root of quantity 4 x plus 6, g as a function of x is equal to the square root of qua

andriy [413]

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4 0

2 years ago

Big Bob’s Pizza is having a special on pizza and is offering two different choices:

Anna71 [15]

Answer:

The Choice N#1 will give more pizza for your money

Step-by-step explanation:

step 1

Find the area of one slice Choice #1

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=22/2=11\ in$ ----> the radius is half the diameter

assume

$\pi =3.14$

The area of one slice is equal to

$A=(1/8)\pi r^{2}$

substitute

$A=(1/8)(3.14)(11)^{2}$

$A=47.4925\ in^{2}$

Divide the cost by the area

$4.95/47.4925=0.10\frac{\$}{in^{2}}$

step 2

Find the area of the entire personal pizza Choice # 2

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=6/2=3\ in$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$A=(3.14)(3)^{2}$

$A=28.26\ in^{2}$

Divide the cost by the area

$3.75/28.26=0.13\frac{\$}{in^{2}}$

therefore

The Choice N#1 will give more pizza for your money

5 0

3 years ago

How are reflections described mathematically

klemol [59]

Answer: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... the line y = x is the point (y, x). The reflection of the point (x,y) across. the line y = -x is the point (-y, -x).

Step-by-step explanation: I hope this helped! Actually, I just hope that my answer is correct but whatevs lol :)

6 0

2 years ago

50 points but please give a helpful answer <3

Rasek [7]

They are all (SAS)side angle side except for the bottom right one. This is because the question does not give the little ticks to show that one side is the same as the other. It is not good enough to assume they are congruent without proof.

8 0

3 years ago