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Allisa [31]
3 years ago
8

Why is it important to keep two sides of an equation balanced when solving?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation.  If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.

Step-by-step explanation:

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The surface area of a square pyramid is 85 square meters. The base length is 5 meters. What is the slant height?
lora16 [44]
Check the picture below.

so... notice, the base, is a square, thus is called a square pyramid, is a 5x5 square, that gives us an area of 25.

but we know the total surface area is 85 though, so, if we subtract or take away the base's area of 25, 85 - 25 = 60, what's leftover is just the area of the 4 triangular faces.

now, the triangles are all equal, so they go evenly in the area of 60, therefore 60/4 is the area of one of the triangular faces, namely 15.

so, now we know the area of one of the triangles is 15, and we know its base is 5, what's the altitude of it?  which incidentally is the slant-height of the pyramid.

\bf \textit{area of a triangle}\\\\
A=\cfrac{1}{2}bh\quad 
\begin{cases}
A=15\\
b=5
\end{cases}\implies 15=\cfrac{5h}{2}\implies \cfrac{30}{5}=h\implies 6=h

3 0
3 years ago
Read 2 more answers
If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.
babymother [125]

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

7 0
3 years ago
Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks o
Serjik [45]

Answer:

since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes

3 0
3 years ago
a coin jar holds dimes and quarters.A coin jar holds dimes and quarters. There are ten less quarters than dimes. There is a tota
attashe74 [19]

Answer:

There are 18 dimes in the jar

Step-by-step explanation:

Let

x = number of dimes in the jar

y = number of quarters in the jar

Total = $3.80

There are ten less quarters than dimes

y = x - 10

0.1x + 0.25y = 3.80

0.1x + 0.25(x - 10) = 3.80

0.1x + 0.25x - 2.5 = 3.80

0.35x = 3.80 + 2.5

0.35x = 6.30

x = 6.30/0.35

x = 18

6 0
3 years ago
Answer no explantion pls i need asap
irga5000 [103]

Answer:

Below.

Step-by-step explanation:

Area = 5(x + 3)

= 5x + 15

Perimeter = 2(x + 3) + 2(5)

= 2x + 6 + 10

= 2x + 16.

3 0
3 years ago
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