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3 years ago

a hexagonal tray of vegetables has an area of 450 cm^2. What is the length of each side of the hexagon?

Mathematics

1 answer:

fenix001 [56]3 years ago

8 0

Each side equals 100 * (the square root of 3) Because a hexagon is made out of 6 equilateral triangle

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David and Patti each decomposed 138. David wrote 1 + 1/8 + 3/8. Patti wrote 4/8+2/8+5/8.

BaLLatris [955]

Answer:

Both are wrong.

Step-by-step explanation:

We have that:

Both decomposed the fraction $\frac{13}{8}$ into a sum of fractions. Whoever's decomposition sum has a value of $\frac{13}{8}$ is correct.

David:

$1 + \frac{1}{8} + \frac{3}{8} = \frac{8}{8} + \frac{1}{8} + \frac{3}{8} = \frac{8+1+3}{8} = \frac{12}{8}$

$\frac{12}{8} \neq \frac{13}{8}$ , which means that David is wrong.

Patti

$\frac{4}{8} + \frac{2}{8} + \frac{5}{8} = \frac{4+2+5}{8} = \frac{11}{8}$

$\frac{11}{8} \neq \frac{13}{8}$ , which means that Patti is wrong.

So the answer is that both are wrong.

3 0

3 years ago

Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea

Alexus [3.1K]

Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

$C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025 \ dollar.$

The total cost to make 50 puppets=$1025

3 0

3 years ago

Read 2 more answers

What is the value of the expression below when b = 4 and c=5?

frozen [14]

Answer:

107

Step-by-step explanation:

8b^2 - 6c + 9

Let b=4 and c=5

8*(4)^2 -6(5)+9

Exponents first

8* 16 -30 +9

Then multiply

128 -30+9

Then add and subtract

107

4 0

3 years ago

According to the fundamental theorem of algebra, how many zeros does the polynomial below have?

Oxana [17]

It has 3 zeros, because its a polynomial of degree 3.

6 0

3 years ago

Read 2 more answers

3. The MPG (Miles per Gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What

mariarad [96]

Answer:

93.32 %

Step-by-step explanation:

33.2 is 1.2 away from 32 this is 1.2 / .8 = 1.5 standard deviations ABOVE the mean z -score = + 1.5

from z-score table this corresponds to .9332 this is 93.32 %

8 0

2 years ago