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malfutka [58]
3 years ago
5

The expression, involving exponents , to represent the shaded area, in square inches, diagram. Then use that expression to calcu

late the shaded area, in the square inches, of the diagram

Mathematics
1 answer:
mart [117]3 years ago
5 0

Answer:

The shaded area is 23\ in^{2}

Step-by-step explanation:

we know that

The shaded area is equal to the area of the large square minus the area of the two smaller squares

so

A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})\\ \\A=(2^{2})(3^{2}) -(3^{2} +2^{2})

Calculate the shaded area

Remember that

3^{2}=9\\ 2^{2}=4

substitute

A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}

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What is the slope of the line? 7x+2y=57x+2y=5
skad [1K]

Answer:

Step-by-step explanation:

6 0
3 years ago
10 watermelons have an average weight of 4.3 pounds and 5 pumpkins have an average weight of 3.4 pounds. What is the average wei
bagirrra123 [75]
Since the average is the sum divided by the count, the sum is the average times the count.

So the sum of the weights of the watermelons is 10(4.3)=43 pounds.

The sum of the weights of the pumpkins are 5(3.4)=17 pounds

The sum of the weight of the fruits is 43+17=60 pounds

Dividing by 15 fruits gives an average item weight of 60/15 = 4 pounds

6 0
3 years ago
Read 2 more answers
The Mississippi River is about 4,000 kilometers long. An M&M is about 1 centimeter long. There are 100 centimeters in a mete
harkovskaia [24]
To be able to determine the number of M&Ms that are needed in order to measure the length of Mississippi River, we convert the units to a common one. For this purpose, we convert kilometers to centimeter such that,
 
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Since there are 400,000,000 cm in the entire length of the river, the answer would also be 400,000,000. 
4 0
3 years ago
Two bags of cement and three bags of sand weigh 68 lbs. Three bags of sand weigh 60 lbs. All bags of cement weigh the same and a
madam [21]

Answer: 4:20

Step-by-step explanation:

60 lbs can be divided into three groups, in this case the bags of sand, so 60 divided by 3 is 20.

Now you have the 8 lbs left. It gets divided into two groups/bags so you would do 8 divided by 2 is 4.

Then for your ratio it is cement to sand which is 4:20. You can write the ratio however way you want or what is required by the question.(fraction bar, ‘to’, or colon ‘:’ )

Hope this helps!

6 0
3 years ago
What is the length of YZ in XYZ
Studentka2010 [4]

AZ=12 - is hypotenuse

∠XZY=30° ⇒

XY=\dfrac{1}{2} \times12=6

\text{By the Pythagorean theorem}\\YZ=\sqrt{12^2-6^2} =\sqrt{(12-6)(12+6)} =\sqrt{6\times18} =\sqrt{108} =6\sqrt{3}

3 0
2 years ago
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