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Dovator [93]
3 years ago
7

A group of penguins swam 4/5 mile in 1/3 hour. Use the table to find how many miles the penguins swam in one hour if they swam a

t about the same pace for the entire hour
Mathematics
2 answers:
professor190 [17]3 years ago
5 0

Answer:

2.4 miles

Step-by-step explanation:

Vinil7 [7]3 years ago
3 0

Answer:

2.4 miles

Step-by-step explanation:

This is a simple ratio problem.

Penguins go 4/5 mile in 1/3rd hour. <em>So how many miles will they go in 1 hour? Let that be x:</em>

<em>\frac{\frac{4}{5}}{\frac{1}{3}}=\frac{x}{1}\\\frac{1}{3}x=\frac{4}{5}\\x=\frac{4}{5}*3=\frac{12}{5}</em>

<em />

<em>That is 12/5 miles or 2  2/5 miles</em>

<em>In decimal, that's </em><em>2.4 miles</em>

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3 years ago
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A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th
Rufina [12.5K]

Answer:

Part 1) The base is 25\ in  and the height is 10\ in

Part 2) The base is 7.5\ in  and the height is 18.75\ in

Step-by-step explanation:

case 1) Right isosceles triangle of the left

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

y+x+y=45

2y+x=45 ----> equation A

\frac{x}{y} =\frac{5}{2}

x=2.5y -----> equation B

substitute equation B in the equation A

2y+2.5y=45

4.5y=45

y=10\ in

Find the value of x

x=2.5(10)=25\ in

case 2) Right isosceles triangle of the right

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

y+x+y=45

2y+x=45 ----> equation A

\frac{y}{x} =\frac{5}{2}

y=2.5x -----> equation B

substitute equation B in the equation A

2(2.5x)+x=45

6x=45

x=7.5\ in

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3 0
3 years ago
I need to find x can someone please help
PIT_PIT [208]

Answer:

\boxed{\boxed{\tt x=87^{\circ}}}

Step-by-step explanation:

We know that a triangle has 3 sides, A triangle's interior angles add up to 180 degrees.

Now, let's write this as an equation:

\tt x^{\circ}+37^{\circ}+56^{\circ}=180^{\circ}

The missing angle is 180° minus the sum of the other two angles.

\tt x^{\circ}=180^{\circ}-56^{\circ}-37^{\circ}

Subtract the numbers:

\tt 180^{\circ}-56^{\circ}-37^{\circ}=87^{\circ}

\tt x=87^{\circ}

<u>________________________________</u>

4 0
2 years ago
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Mars2501 [29]

Hi friend

#24

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Simplify to both sides

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First you need to add 7 to both sides

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Now we gonna do the same thing

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Just do the same thing

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I really hope that's help and good luck :0







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