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goblinko [34]
3 years ago
10

ASAP

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0

Answer:

12 units

Step-by-step explanation:

The quickest way to go about this is;

From the figure, when you count the number of full square boxes inside the rectangle, they add up to 7 full square boxes of 1 unit by 1 unit. And the number of half square boxes inside the rectangle add up to 10 which is equal to 5 full square boxes.

So the total number of full square boxes of 1 unit by 1 unit inside the rectangle add up to 12 full square boxes. The area of each full square box is 1 * 1 =  1 units, therefore the area of the rectangle is equal to 1 * 12 = 12 units.

You might be interested in
if it takes anne 1/2 hour to read 2/3 of a chapter. About how long will it take her to read a chapter?​
kolbaska11 [484]

Answer:

45 minutes

Step-by-step explanation:

1/2 hour=30 minutes

2/3 of chapter=30 minutes

1/4 of hour=15 minutes

1/3 of chapter=15 minutes

3/4 of hour=45 minutes

3/3 of chapter=45 minutes

6 0
2 years ago
A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box with
aliina [53]

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.

6 0
2 years ago
Which graph shows the solution to this system of inequalities?<br> y&gt;-1/3x+1<br> y&gt;2x-3
Mademuasel [1]

Given:

The system of inequalities is:

y>-\dfrac{1}{3}x+1

y>2x-3

To find:

The graph of the given system of inequalities.

Solution:

We have,

y>-\dfrac{1}{3}x+1

y>2x-3

The related equations are:

y=-\dfrac{1}{3}x+1

y=2x-3

Table of values for the given equations is:

    x                   y=-\dfrac{1}{3}x+1             y=2x-3

   0                             1                              -3

   3                             0                              3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of y=-\dfrac{1}{3}x+1.

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of y=2x-3.

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

6 0
2 years ago
What ratio is equivalent to 3:4
Rashid [163]

Answer:

A

Step-by-step explanation:

A) 30:40=3:4

B) 30:70=3:7

C) 2:1

D) 8:6=4:3

4 0
2 years ago
What is the following simplified product? Assume x≥0. 2√8x^3(3√10x^4-x√5x^2)
natta225 [31]

i think the answer is A.

5 0
3 years ago
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