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2 years ago

9

Four pets in “Among Us” cost $16. Mr. Maxine says, at that rate, he will be able to purchase all 10 pets for $35!!! Is he right?

Explain the solution

1 answer:

Rus_ich [418]2 years ago

7 0

Answer:

No he is not lol 16÷4=4, To buy 10, 10×4=40. 40-35=5 he needs 5 dollars more

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Find the length of each side of the triangle determined by the three points P1,P2, and P3. State whether the triangle is an isos

Tanya [424]

Answer:

The triangle is both an Isosceles triangle and a right triangle.

Step-by-step explanation:

Given the vertices of a triangle.

$P_{1} = (- 1, 4)$

$P_{2} = (6, 2)$ and

$P_{3} = (4, - 5)$

We find the distance between all the points to determine the length of each side of the triangle.

Distance between any two points, say, $(x_1, y_1)$ and $(x_2, y_2)$ is:

$\sqrt{\bigg ( \textbf{x}_{\textbf{2}} \hspace{1mm} \textbf{- x}_{\textbf{1}} \bigg )^{\textbf{2}} \textbf{+} \bigg( \textbf{y}_{\textbf{2}} \hspace{1mm} \textbf{- y}_{\textbf{1}} \bigg)^ {\textbf{2}}$

Length between $P_1$ and $P_{2}$ , (Side 1) :

$(x_1, y_1) = (- 1, 4)$ and

$(x_2, y_2) = (6, 2)$

Distance = $\sqrt{\bigg(6 - (-1) \bigg)^{2} \hspace{1mm} + \hspace{1mm} \bigg( 2 - 4 \bigg )^2$

$= \sqrt{7^2 + 2^2}$

$= \sqrt{49 + 4}$

$= \sqrt{\textbf{53}}$

Length of Side 1 = $\sqrt{\textbf{53}}$ units.

Distance between $P_1$ and $P_2$ , (Side 2):

$(x_1, y_1) = (-1, 4)$

$(x_2, y_2) = (4, - 5)$

Distance = $\sqrt{ \bigg( 4 + 1 \bigg)^2 \hspace{1mm} + \bigg( - 5 - 4 \bigg ) ^2$

$= \sqrt{ 25 + 81 }$

$= \sqrt{\textbf{106}}$

Length of Side 2 = $\sqrt{\textbf{106}}$ units.

Distance between $P_2$ and $P_3$ , Side 3 :

$(x_1, y_1) = (4, 5)$

$(x_2, y_2) = (6, 2)$

Distance = $\sqrt{ 2^2 \hspace{1mm} + \hspace{1mm} 7^2}$

$= \sqrt{49 + 4}$

$= \sqrt{\textbf{53}$

Length of Side 3 = $\sqrt{\textbf{53}}$ units.

Note that the length of Side 1 = Length of Side 3.

That means the triangle is Isosceles.

Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:

(Side 1)² + (Side 3)² = (Side 2)²

$\bigg( \sqrt{53} \bigg )^2 \hspace{1mm} + \hspace{1mm} \bigg( \sqrt{53} \bigg)^2 \hspace{1mm} = \hspace{1mm} \bigg ( \sqrt{106} \bigg ) ^2$

i.e, 53 + 53 = 106

Hence, the triangle is a right - angled triangle as well.

7 0

3 years ago

Let's say we have a sample of 57 participants in a study, what would the degrees of

fiasKO [112]

Answer:

56

Step-by-step explanation:

degree of freedom is n - 1, n being the sample size

One sample of 57 participants in a study (given)

For this study, n = 57

Using the degree of freedom formula, 57 - 1 = 56

Hope it helps, Let me know if yoy have any more questions/concerns !

Have a nice rest of your day :)

5 0

2 years ago

joe boght 15 tolets. 1 was pure gold 2 were pure silver and the rest were wooden. how many wooden toilets were there?

borishaifa [10]

12.
It is easy all you have to do is 15-3 because 1+2=3

3 0

2 years ago

Find the sum of the first six terms of the sequence for which a2=0.7 and a3=0.49.

alina1380 [7]

A1 = 0.91
a6 = -0.14
sum = (0.91+-0.14) /2
sum = 2.31

8 0

3 years ago

Read 2 more answers

6 1/5 + (-7 3/5)

GREYUIT [131]

Since you are subtracting a negative you can do it this way. do 7 3/5 - 6 1/5. that leaves you with 1 2/5. so in the end you will have -1 2/5

5 0

2 years ago