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2 years ago

Which mathematical law or property is used to rewrite the following expression?

Mathematics

1 answer:

ra1l [238]2 years ago

3 0

<h3>Answer: Commutative Property Of Addition</h3>

Explanation:

This property is where we have A+B = B+A. In other words, adding two numbers can be done in any order. This can be extended to more than two values also.

So, 4+6 = 6+4 since both sides result in 10.

Overall it leads to 2+(4+6) = 2+(6+4) being a true equation as well. Both sides simplify to 12.

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3 years ago

Four friends play a game. Their final point counts are recorded in a table.

Tomtit [17]

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4 years ago

The table shows the number of students that are enrolled in Geometry at Eastlake High School If the pattern continues, how many

vaieri [72.5K]

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Step-by-step explanation:

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3 years ago

1. A MAP SCALE READS 1CM:5KM. IF A DISTANCE ON THE MAP MEASURES 7CM, THE ACTUAL DISTANCE WILL BE?. 2. A SCHOOL DINING HALL IS 35

Agata [3.3K]

Answer:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. $42^\circ$

5. 16.73 m

Step-by-step explanation:

Solution 1.

Reading of map scale = 1cm:5km

i.e. 1 cm is equivalent to 5 km

Measurement of map = 7 cm

Actual distance = Measurement of map $\times 5$

Actual distance = 7 $\times 5$ = <em>35 km</em>

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

Solution 2.

Length of dining hall = 35 m

Measurement of map = 7 cm

Scale = Measurement of map : Length of dining hall (i.e. ratio)

Scale = 7 cm :35 m = <em>1 cm : 5 m</em>

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

Solution 3.

Length of building = 30 m

Scale = 1 cm to 5m

5 m is equivalent to 1 cm on scale

1 m is equivalent to $\frac{1}{5}$ cm on scale

30m is equivalent to $\frac{1}{5} \times 30$ = <em>6 cm</em> on scale

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

Solution 4.

Angle of elevation of A from B = $42^\circ$

Angle of depression of B from A = ?

Please refer to the image attached, we can clearly observe that both the angles (i.e. angle of elevation from A to B and angle of depression from B to A )will be equal.

Angle of depression of B from A = $42^\circ$

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

Solution 5.

Given that:

String length, or hypotenuse of triangle BC= 25 m

Angle of string with horizontal, $\angle B = 42^\circ$

Please refer to the attached image for the clear understanding of the situation.

To find:

Height, AC = ?

We can use trigonometric identity:

$sin\theta = \dfrac{Perpendicular}{Hypotenuse}$

$sinB = \dfrac{AC}{BC}\\\Rightarrow sin42^\circ = \dfrac{AC}{25}\\\Rightarrow AC = 25 \times 0.67\\\Rightarrow AC = 16.73 m$

============

So, the answers are:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. $42^\circ$

5. 16.73 m

7 0

3 years ago

PLEASE HELP!! 10 BRAINLY POINTS!<br><br><br> Solve the system of equation using substitution

irakobra [83]

Answer:

X= 5 ( 2 + Y )❤️

Step-by-step explanation:

X = 5y + 10

X= 5( Y + 2 )

2x-10y= 20

2( X - 5y ) = 20
(x-5y ) = 20/2
X - 5y = 10
X= 10 + 5y
X = 5 ( 2 + Y )

3 0

3 years ago