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2 years ago

How large an equilateral triangle can you fit inside a 2-by-2 square?

Mathematics

1 answer:

nekit [7.7K]2 years ago

3 0

Answer:

An equilateral triangle with a length of 2

Step-by-step explanation:

A 2-by-2 square implies that the square has a length and width of 2. Since equilateral triangles have the same length for all sides, it tells you that if one side is a certain length, all the other sides must have the same length. The largest length we can fit into this square would be 2 because any larger, the sides of the triangles would not fit into the square. Under the assumption that the length needs to be a whole number, the answer would be 2.

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Use the distributive property to solve 4 × 7.1

sladkih [1.3K]

Answer:

28.4

Step-by-step explanation:

To use the distributive property, split the 7.1 to 7 and .1

4*7 would be 28 and 4*.1 would be .4

Adding them together would make the answer 28.4

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4 years ago

Gina wants to ride the waves at flagship pier in Galveston so she rents a surfboard for $5 per hour plus an initial or beginning

anastassius [24]

Fourteen hours. The equation is 5x+20=90. Solve for X.

5 0

3 years ago

I need help with this problem

Soloha48 [4]

Answer:

$3.\ \dfrac{3x}{11x}, \dfrac{6}{22}, \dfrac{9}{33},\dfrac{12}{44}$

$4. -18\\5.\ 400$

Step-by-step explanation:

<u>Solution 3:</u>

Equivalent fractions to are to $\frac{3}{11}$ be found out.

<u>Method: </u> By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.

1. Multiply with 2:

$\dfrac{3 \times 2}{11 \times 2}\\\Rightarrow \dfrac{6}{22}$

2. Multiply with 3:

$\dfrac{3 \times 3}{11 \times 3}\\\Rightarrow \dfrac{9}{33}$

3. Multiply with 4:

$\dfrac{3 \times 4}{11 \times 4}\\\Rightarrow \dfrac{12}{44}$

If we try to write in variable form, it can be written as:

$\dfrac{3x}{11x}$

where x is any number.

---------------

<u>Solution 4:</u>

$(2x-10)$ when $x=-4$

$2 \times (-4) -10\\\Rightarrow -8 -10\\\Rightarrow -18$

------------

<u>Solution 5:</u>

$(10a)^2, a=-2\\\Rightarrow \{10 \times (-2)\}^2\\\Rightarrow (-20)^2\\\Rightarrow 400$

4 0

3 years ago

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.32 cents per

Sedaia [141]

Answer:

$y(x) = 0.0732x + 17.32$

Step-by-step explanation:

The equation for the monthly charge has the following format

$y(x) = ax + b$

In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.

Base charge of $17.32 per month.

This means that $b = 17.32$

charge of 7.32 cents per kilowatt-hour

Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is $a = 0.0732$

Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.

$y(x) = ax + b$

$y(x) = 0.0732x + 17.32$

6 0

3 years ago

4. You read an article in your local newspaper about a discussion between the owner of a popular business and a group

Alona [7]

The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°

<h3>Calculation of angle</h3>

The distance of the flagpole from the building = 55ft

The building has the height of = 45ft

The flagpole has the height of = 25ft

The angle can be calculated using the formula;

Tan θ = opposite/adjacent

Where opposite= 45ft

adjacent = 55ft

Tan θ = 45/55 = 0.82

θ = Tan–¹0.82

θ = 39°

Learn more about angles here:

brainly.com/question/25716982

#SPJ1

5 0

2 years ago