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Nataliya [291]
3 years ago
15

5. Which of the following is an example of a proper fraction? A. 4/3 B. 4/4 C. 7/6 D. 3/4

Mathematics
2 answers:
Sindrei [870]3 years ago
7 0
Salutations!

Which of the following is an example of a proper fraction?

3/4 is a proper fraction. Proper fractions are fractions that have a number that is smaller numerator and greater denominator. 7/6 and 4/3 are improper fractions. Improper fractions are fractions that have a greater numerator and a smaller denominator. 4/4 is a like fraction. Like fractions are fractions that have alike numbers in both numerators and denominators.

Thus, your answer is option D.

Hope I helped (:

Have a great day!
CaHeK987 [17]3 years ago
5 0

D. is the proper fraction


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Find the distance between the given points: (2, -2) and (-4, 7)
sasho [114]

Answer:

3\sqrt{13}

Step-by-step explanation:

Hi there!

We want to find the distance between the points (2, -2) and (-4, 7).

To do that, we can use the distance formula.

The distance formula is given as \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, where (x_1, y_1) and (x_2, y_2) are points

We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

x_1=2\\y_1=-2\\x_2=-4\\y_2=7

Now substitute those values into the formula and solve

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\sqrt{(-4-2)^2+(7--2)^2}

Simplify

\sqrt{(-4-2)^2+(7+2)^2}

\sqrt{(-6)^2+(9)^2}

Square the numbers under the radical

\sqrt{36+81}

Add the numbers under the radical together

\sqrt{117}

Simplify the square root

3\sqrt{13}

Hope this helps!

6 0
3 years ago
Solve this problem using the Trigonometric identities (secA+1)(SecA-1)= tan^2A
sammy [17]

Step-by-step explanation:

( secA + 1)( sec A - 1)

Using the expansion

( a + b)( a - b) = a² - b²

Expand the expression

We have

sec²A + secA - secA - 1

That's

sec² A - 1

From trigonometric identities

<h3>sec²A - 1 = tan ²A</h3>

So we have the final answer as

<h3>tan²A</h3>

As proven

Hope this helps you

7 0
3 years ago
Read 2 more answers
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Anna71 [15]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the
tensa zangetsu [6.8K]

Answer:

4 feet.

Step-by-step explanation:

Let x be the height of tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2\frac{1}{2}. Let us represent this information in an equation.

\frac{5}{8}*x=2\frac{1}{2}

Let us convert our given mixed fraction into improper fraction.

\frac{5}{8}*x=\frac{5}{2}

Let us multiply both sides of our equation by 8/5.

\frac{8}{5}\times \frac{5}{8}*x=\frac{5}{2}\times \frac{8}{5}

x=\frac{8}{2}

x=4

Therefore, the tower will be 4 feet tall when finished.

5 0
3 years ago
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