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Zigmanuir [339]
3 years ago
7

What is the answer to this question? Write an expression in simplest form for the perimeter of a right triangle with leg lengths

of 3a to the third power and 4a to the third power.
Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

Step-by-step explanation:

Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as

Hypotenuse² = one leg² + other leg²

Therefore,

h² = (3a)³ + (4a)³

h² = 27a³ + 64a³

h² = 91a³

Taking square root of both sides,

h = √91a³

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is

√91a³ + (3a)³ + (4a)³

= √91a³ + 91a³

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Alaina’s sugar cookie recipe calls for 21 4 cups of flour per batch. If she wants to make 2 3 a batch of cookies, how much flour
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8 0
3 years ago
Read 2 more answers
A store sold 70 hammers and ranchers Hammer sold for $10 each in French so for five dollars each a total of 600.00 what's the co
MrMuchimi

Answer:

50 hammers and 20 wrenches.

Step-by-step explanation:

Let x represent number of hammers and y represent number of ranchers.

We have been given that a store sold 70 hammers and ranchers. We can represent this information in an equation as:

x+y=70...(1)

We are also told that each hammer sold for $10 and each rancher sold for five dollars resulting a total of 600.00. We can represent this information in an equation as:

10x+5y=600...(2)

From equation (1), we will get:

x=70-y

Substituting this value in equation (2), we will get:

700-10y+5y=600

700-5y=600

700-700-5y=600-700

-5y=-100

\frac{-5y}{-5}=\frac{-100}{-5}

y=20

Therefore, 20 wrenches were sold.

Now, we will substitute y=20 in equation (1) as:

x+20=70

x+20-20=70-20

x=50

Therefore, 50 hammers were sold.

5 0
3 years ago
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