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Alekssandra [29.7K]
1 year ago
5

100 points for correct answer

Mathematics
1 answer:
Tems11 [23]1 year ago
7 0

Answer:

\dfrac{x}{3}+\dfrac{3}{y}

Step-by-step explanation:

<u>Given fraction</u>:

\dfrac{xy+9}{3y}

\textsf{Apply the fraction rule} \quad \dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}:

\implies \dfrac{xy}{3y}+\dfrac{9}{3y}

Rewrite 9 as 3 · 3:

\implies \dfrac{xy}{3y}+\dfrac{3 \cdot 3}{3y}

Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:

\implies \dfrac{x\diagup\!\!\!\!y}{3\diagup\!\!\!\!y}+\dfrac{\diagup\!\!\!\!3 \cdot 3}{\diagup\!\!\!\!3y}

\implies \dfrac{x}{3}+\dfrac{3}{y}

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HELP PLEASEEE
djyliett [7]

Answer:

Exact circumference is 7\frac{49}{150}km

Approximate circumference is 7.33 km

Step-by-step explanation:

We are given;

  • The diameter of a circle as 2\frac{1}{3} km

We are required to determine the exact and approximate circumference of the circle.

  • We know that the circumference of the circle is given by;
  • Circumference = πD, where D is the diameter

Taking π as 3.14

Circumference=3.14 (2\frac{1}{3}km)

                          =7\frac{49}{150}km

The exact circumference of the circle is 7\frac{49}{150}km

7\frac{49}{150}km=7.327 km\\                            = 7.33 km (nearest hundredth)

Thus, the approximate circumference of the circle is 7.33 km

6 0
3 years ago
Help pls not graded test
Arte-miy333 [17]

The missing angle of the given triangle  is 59°.

What is vertically opposite angles?

  Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.

Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,

⇒ 49°+31°+x = 180°

⇒ 80° + x= 180°

⇒x= 180°-80°=100°

Then unknown angle in triangle 1 ia 100°.

Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,

In triangle 2 angle is 100° and 21°. Then missing angle is,

⇒ 100°+21°+missing angle =180°

⇒Missing angle = 180°-100°-21°

⇒Missing angle = 59°

Therefore the answer is 59°.

To learn more about Vertical angle ,

brainly.com/question/18450499

#SPJ13

3 0
1 year ago
The area of a floor is 48 ft2. If 20% of the floor is covered with an area rug, hue much floor is space remains uncovered
SCORPION-xisa [38]
The answer is 9.6 hope this helped you
7 0
3 years ago
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The surface areas of the two solids shown above are equal.<br> A. True<br> B. False
Hunter-Best [27]
The answer is false.
3 0
3 years ago
Read 2 more answers
What is the answer to part B? explanation please
vaieri [72.5K]

Answer:

1

Step-by-step explanation:

10³/10³

10³-³

10⁰=1

Formula a¹÷a¹=a¹-¹=a⁰. (Exponents and Powers)

And

a⁰=1

hope it helps..

4 0
3 years ago
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