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Doss [256]
3 years ago
8

An architect is making a floor plan for a rectangular gymnasium.The distance between opposite corners of the gym will be 30 mete

rs and the width will be 18 meters. What will be the length of the gym?
Mathematics
2 answers:
blondinia [14]3 years ago
6 0
30^2=A^2+18^2
900=A^2+324
900-324=A^2
576=A^2
24=A
Length is 24 meters
Dafna1 [17]3 years ago
4 0

The length is: 24 meters


Here's why

So the hypotenuse theory or aka A^2 + B^2 = C^2 lets us know this:

A = 18

B = What we are looking for

C = 30


So before we apply these we're going to do some magic:

B = sqrt(-A^2 + C^2)

Now just put in the numbers

B = sqrt(-18^2 + 30^2)

B = sqrt(576)

B = 24 meters


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In an 18-meter race between a tortoise and a hare, the tortoise leaves 23 minutes before the hare. The hare, by running at an av
seropon [69]
We know that:
time=distance/speed
if the tortoise speed is x m/min, then since 0.5 m/hr=1/120 m/min
18/x=23+18/(x+1/120)
solving for x we get:
x=0.08 m/min
speed of hare is:
(0.08+1/120)=0.088 m/min

6 0
3 years ago
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of -5. The vector
Nonamiya [84]

Answer:6.0, 130

Step-by-step explanation:

Just got the question right on edgenuity.

3 0
3 years ago
Translate the given phrase into an algebraic expression and simplify if possible: the product of -13 and the difference of c
Musya8 [376]

Answer:  -13c+13d

Step-by-step explanation:

For this exercise it is important to remember the following:

1. By definition, the "Product" is the result of a multiplication.

2. The "Difference" is defined as the result of a subtraction.

3. The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

Keeping the above on mind, you know that:

"The difference of c and d" can be represented with the following expression:

c-d

Therefore, "The product of -13 and the difference of c and d" can be represented with this expression:

-13(c-d)

Finally, you must apply the Distributive property in order to simplify the expression. You get:

=-13c+13d

7 0
3 years ago
Is it nice or not?<br><br> vacations<br> lice<br> mice<br> janury
Vikentia [17]
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3 0
3 years ago
Sistema de ecuaciones.5x+2y=-152x-2y=-6
Zolol [24]

Tnemos el sisema de ecuaciones:

\begin{gathered} 5x+2y=-15 \\ 2x-2y=-6 \end{gathered}

Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:

\begin{gathered} (5x+2y)+(2x-2y)=(-15)+(-6) \\ 7x+0y=-21 \\ x=-\frac{21}{7} \\ x=-3 \end{gathered}

Ahora podemos resolver para y con cualquiera de las dos ecuaciones:

\begin{gathered} 2x-2y=-6 \\ 2\cdot(-3)-2y=-6 \\ -6-2y=-6 \\ -2y=-6+6 \\ -2y=0 \\ y=0 \end{gathered}

Respuesta: x=-3, y=0

7 0
1 year ago
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