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3 years ago

Demonstrates the commutative property across multiplication for 2 × 10 × 7

1 answer:

3 0

Commutative means that you can mix up the numbers, but still have the right answer.

2 x 10 x 7 =
2 x 7 x 10 =
10 x 2 x 7 =
10 x 7 x 2 =
7 x 2 x 10 =
7 x 10 x 2

Hope this helps :)

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Find the sum of these polynomials.

Genrish500 [490]

Answer:

Step-by-step explanation:

add the two x^2 parts = 10 x^2

so answer is B or C

add the constants 7 + 6 = 13 so answer C

7 0

1 year ago

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

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

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

2x + 8y = 5<br> 24x – 4y = –15

slega [8]

2x + 8y = 5

2/ 24x - 4y = -15

2x + 8y = 5

48x - 8x = -30

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

50x = -25

x = -1/2

2 * -1/2 + 8y = 5

-1 + 8y = 5

8y = 6

y = 6/8

y = 3/4

x = -1/2 y = 3/4

5 0

3 years ago

Write two equivalent fractions for the point on the number line.

navik [9.2K]

The values on the number line are between 0 and 1. There are 8 points from 0. The distance between two consecutive points would be

1/8 = 0.125

Since the given point is on the second point after 0, the equivalent value would be

2 * 1/8 = 2/8

Dividing the numerator and denominator of 2/8 by 2, we have 1/4

Thus, the two equivalent fractions for the point on number line are

2/8 and 1/4

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1 year ago

Leah drives 45 miles per hour for 2 hours then 32 miles per hour for 90 minutes . What is her average speed

Citrus2011 [14]

Answer:

=39.42857143 miles per hour

Step-by-step explanation:

To find the average speed, we need to the total distance and the total time

Distance 1

45 miles for 2 hours

45*2 = 90 miles

Distance 2

90 minutes * 1 hour/60 minutes = 1.5 hours

32 miles * 1.5 hours =48 miles

The total distance = 90+48 = 138 miles

The total time = 2 +1.5 = 3.5 hour

The average speed = total distance/ total time

= 138/3.5

=39.42857143 miles per hour

3 0

3 years ago

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