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leva [86]
3 years ago
13

Which phrase match is the algebraic expression below 2(x+7)+10

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0
Hey there! 

You can solve this problem by doing distributive property. 

So, 2(x + 7) + 10 \\ \\ 2(x) = 2x \\ \\ 2(7) = 14 \\ \\ \\ (2x + 14) + 10  \\ \\ \\ 14 + 10 = 24 \\ \\ \\ \\ Answer: 2x + 24

Good luck on your assignment and enjoy your day! 

~LoveYourselfFirst:)
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Geometry Pythagorean theorem
lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
  • => 676 - 576 = x²
  • => 100 = x²
  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
  • => 225 = 144 + x²
  • => 225 - 144 = x²
  • => 81 = x²
  • => x = 9
<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
  • => x² = 64 + 144
  • => x² = 208
  • => x = √208
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
  • => 45 = x²
  • => x = √45
  • => x = 6.7 (Rounded)
<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

  • => 5² = 3² + x²
  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
  • => y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

  • x = 2y
  • => x = 2(5.3)
  • => x = 10.6 units

Answer (Nearest tenth)

  • x = 10.6 units
  • y = 5.3 units
<h3>________________________________________________</h3>
5 0
2 years ago
PIUWawilities
blondinia [14]

Answer:

23.44%

Step-by-step explanation:

The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5

= 0.01116

There are 7C2 ways of the  2 4's  being in different positions

= 7*6 / 2 = 21 ways.

So the required probability =  0.01116 * 21

= 0.2344 or 23.44%.

3 0
3 years ago
A total of 300 pine and maple trees will be planted in a park. There will be 2 pine trees planted for every 3 maple trees plante
mars1129 [50]

Answer:

  120

Step-by-step explanation:

2 of every 5 trees are pine trees.

  2/5 · 300 = 120

120 pine trees are going to be planted in the park.

5 0
3 years ago
Parse the regular hexagon, and tell how much regular unit triangle do you find, if the length of one side of the regular hexagon
Thepotemich [5.8K]

Answer:

Six.

Step-by-step explanation:

In geometry, a hexagon is a two-dimensional polygon that has six sides. A regular hexagon is a hexagon in which all of its sides have equal length. We sometimes define a regular hexagon using equilateral triangles, or triangles in which all of the sides have equal length.

The regular hexagon is a convex polygon with six equal sides and six equal angles. Each external angle of the regular hexagon measures 60 degrees. It is closely related to equilateral triangles: Joining each vertex with its opposite, the regular hexagon is divided into six equilateral triangles.

5 0
3 years ago
I have a series of questions
alexgriva [62]

9514 1404 393

Answer:

  0.4, 0.004, 0.004

Step-by-step explanation:

The "what" in each case is found by dividing the target value by 10. That is accomplished by moving the decimal point one place to the left.

4/10 = 0.4   ⇒   10 times 0.4 = 4

0.04 and .04 are exactly the same value, so the last two on your list are the same:

0.04/10 = 0.004   ⇒   10 times .004 = 0.04

3 0
3 years ago
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