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3 years ago

Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.

Mathematics

2 answers:

7nadin3 [17]3 years ago

7 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Let the original dimension of pentagon be x

So, we have ratio as follow:

$\frac{3}{12}=\frac{x}{8}\\\\3\times 8=12\times x\\\\24=12\times x\\\\x=\frac{24}{12}=2$

so, Paolo was asked to find the original of an enlarge pentagon.

And she did,

$8x=36\\\\x=4.5$

so, she made an error when he cross multiplied the proportion.

That's why she got wrong answer.

Hence, Second option is correct.

NISA [10]3 years ago

6 0

The correct answer is the second choice.

Paolo made an error when he cross multiplied the proportion. He should have multiplied the 3 and the 8 and also the 12 and the x.

The second line should be:

12x = 24

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Can someone tell me if this adjacent , vertical or linear

babymother [125]

Answer:

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3 years ago

In a game a player draws and replaces a card from a deck 2 times. The possible outcomes and payouts are shown. What is the

Goshia [24]

<u>Given</u>:

Given that in a game a player draws and replaces a card from a deck 2 times.

The possible outcomes and payouts are given.

We need to determine the expected value for someone playing the game.

<u>Expected value:</u>

The expected value for someone playing the game can be determined by

$EV=(\frac{26}{52})(\$ 20)+(\frac{52}{52})(\$4)+(\frac{52}{52})(\$ 0)+(\frac{26}{52})(-\$12)$

Simplifying the values, we have;

$EV=(\frac{1}{2})(\$ 20)+(1)(\$4)+(1)(\$ 0)+(\frac{1}{2})(-\$12)$

Dividing the terms, we get;

$EV=\$ 10+\$4+\$ 0+-\$6$

Adding, we have;

$EV=\$ 8$

Thus, the expected value for someone playing the game is $8

3 0

3 years ago

Nap ate 2/5 of the pizza Rowan ate 2/3 of the pizza that was left how much of the pizza did Rowan eat

kicyunya [14]

Answer:

Rowan ate $\frac{2}{5}$ of the pizza

Step-by-step explanation:

Nap ate 2/5 of the pizza Rowan ate 2/3 of the pizza that was left how much of the pizza did Rowan eat?

Nap: $\frac{2}{5}$ can be rewritten as $\frac{6}{15}$

Rowan: $\frac{2}{3}$ can be rewritten as $\frac{10}{15}$

After Nap ate 2/5 of the pizza, there is 3/5 pizza left.

$\frac{3}{5}$ can be rewritten as $\frac{9}{15}$

$\frac{9}{15}*\frac{10}{15}$ = $\frac{2}{5}$

$\frac{9}{15}*\frac{10}{15}=\frac{3}{5}*\frac{2}{3}=\frac{1}{5}*\frac{2}{1} =\frac{2}{5}$

Rowan ate $\frac{2}{5}$ of the pizza

Hope this helps!

3 0

2 years ago

Evaluate b2 for b = -4.

trapecia [35]

B2 = -4 x 2
-4 x 2 = -8

3 0

3 years ago

Please can someone help meeeee with my maths homework!!!!!!! I’m really bad at maths!!!!!!

lawyer [7]

Answer:

Step-by-step explanation:

2a the answer is 50

we know that the sum of angles in a triangle is 180, so we do 180-90-40 to find the missing angle because two of the angle measurements are already given.

2b the answer is 76

we know that the sum of angles in a triangle is 180, so we do 180-52-52 to find the missing angle because two of the angle measurements are already given.

2c the answer is 36

we know that the sum of angles in a triangle is 180, so we do 180-126-18 to find the missing angle because two of the angle measurements are already given.

3a the answer is 134

we know that the measure of an exterior angle is the sum of the two remote interior angles, so we do 61+73

3b the answer is 126

we know that the measure of an exterior angle is the sum of the two remote interior angles, so we do 90+36

3c the answer is 92

we know that the measure of an exterior angle is the sum of the two remote interior angles, so we do 48+46

the last one, the answer is 105

to find the measure of an angle is a regular polygon, use the formula

((n-2)*180)/n n = the number of sides

we use this to find the angle measure of the octagon, and we get 135

we use this same formula to find the angle measure of the hexagon, and we get 120

add both of those up 120+135 = 255

then subtract that from 360 because the 360-255 = 105

8 0

3 years ago