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3 years ago

The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenuse?

Mathematics

2 answers:

Feliz [49]3 years ago

6 0

Answer: 82 cm

18 times 18 = 324

80 times 80 = 6400

324+6400=6724

Find the sqrt root of 6724 which is 82.

82 times 82 = 6724

Hope this helps :D

Lynna [10]3 years ago

3 0

A= 82 cms

A^2+B^2=C^2

18^2+ 80^2

18^2=324

80^2=6400

6400+324=6724

√6724=82

A= 82

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Jan bought 6 cookies and 4 doughnuts for 3.50. Tom bought 12 cookies and 5 doughnuts got 5.23. Write and solve a system of equat

iren2701 [21]

0.19 for one cookie and 0.59 for one doughnut

x for how much one cookie costs and y for how much one doughnut costs
6x+4y=3.5
12x+5y=5.23

solve by substitution: (elimination would work too)
4y=3.5-6x
y=0.875-1.5x
12x+5(0.875-1.5x)=5.23
12x+4.375x-7.5x=5.23
4.5x=0.855
x=0.19
now use x to solve for y:
6(0.19)+4y=3.5
1.14+4y=3.5
2.36=4y
y=0.59

Check the work: 6(0.19)+4(0.59)=3.5

4 0

3 years ago

A ball is thrown from a height of 38 meters with an initial downward velocity of 3 m/s

ANTONII [103]

<h2>Hello!</h2>

The answer is:

The ball will hit the ground after $t=2.47s$

Since we are given a quadratic function, we can calculate the roots (zeroes) using the quadratic formula. We must take into consideration that we are talking about time, it means that we should only consider positive values.

So,

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$

We are given the function:

$h=-5t^{2}-3t+38$

Where,

$a=-5\\b=-3\\c=38$

Then, substituting it into the quadratic equation, we have:

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}=\frac{-(-3)+-\sqrt{(-3)^{2} -4*-5*38} }{2*-5}\\\\\frac{-(-3)+-\sqrt{(-3)^{2} -4*-5*38} }{2*-5}=\frac{3+-\sqrt{9+760} }{-10}\\\\\frac{3+-\sqrt{9+760} }{-10}=\frac{3+-\sqrt{769} }{-10}=\frac{3+-27.731}{-10}\\\\t1=\frac{3+27.731}{-10}=-3.073s\\\\t2=\frac{3-27.731}{-10}=2.473s$

Since negative time does not exists, the ball will hit the ground after:

$t=2.473s=2.47s$

Have a nice day!

4 0

3 years ago

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The circumference of a circle is 6 pi cm what is the length of an arc of 140 degree

ValentinkaMS [17]

Since the total circumference of the circle is 60 pi cm which passes around 360˚, the length of an arc of 140˚ will be equal to 140/360 = 7/18 times the total length:
l = (7/18) * 60 pi cm = 23.3 pi cm

3 0

3 years ago

Show work please! I don't understand how to get this answer! I will give brainliest to the best answer!

Marina86 [1]

Answer:

(x,y,z) = (2,-2,1)

Step-by-step explanation:

Three equations with three variables are given. Take two equations at a time to eliminate one variable.

x + y - z = -1 .....(1)

4x -3y + 2z = 16 .....(2)

2x - 2y - 3z = 5 ......(3)

Solve (1) and (3) to eliminate z.

To do that multiply (1) by 2 and add (1) and (2). We get:

4x - 5z = 3 ......(4)

Now, solve (2) and (3) and subtract them. We get:

2x + 13z = 17 ......(5)

Solve (4) and (5). Multiply (5) by 2 and subtract. We get:

z = 1

Substituting z = 1, in (4) we get: x = 2.

Now to find y, substitute values of x and y in (1).

⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1

⇒ y = -2

∴ Values of (x, y, z) = (2, -2, 1).

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3 years ago

The average cost when producing x items is found by dividing the cost function, C(x), by the number of items, x. When is the ave

Mazyrski [523]

Answer will have to be ( B )

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2 years ago

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