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2 years ago

Tomás found the area of a rectangle to be 1/6 square inch. Which could be the sidelengths of the rectangle?

Mathematics

1 answer:

konstantin123 [22]2 years ago

3 0

<h3>Answer: Choice A</h3>

Explanation:

area = length*width

area = (1/4)*(2/3)

area = (1*2)/(4*3)

area = 2/12

area = 1/6 of a square inch

This confirms that choice A is a correct set of dimensions to lead to an area of 1/6 of a square inch.

Choice B leads to (1/3)*(1/3) = 1/9 which means we can rule it out.

Choice C leads to 1/36 and choice D leads to 1/24.

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How to find a volume to a rectangular box

topjm [15]

You multiply length times width times height.

3 0

2 years ago

Read 2 more answers

Lisa purchased almonds for $3.00 per pound and she spent $24.90. How many pounds of almonds did she purchase? The price went up

aleksandr82 [10.1K]

Answer:

1. Lisa purchased almonds for $3.00 and spent $24.90.

The quantity of almonds bought is therefore:

= Total amount spent / Cost per pound

= 24.90 / 3

= 8.3 pounds

2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:

= Maximum amount for almonds / Price per almonds

= 25 / 3.5

= 7.14 pounds

5 0

3 years ago

Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. What is 4/9 x 3/8 ?

ELEN [110]

Answer:

The multiplication sentence is 4/9*3/8=1/6

then for the rectangular fraction model draw two rectangles and in the first one draw 9 boxes and shade in 4. Then, in the second one draw 8 boxes and shade 3.

Step-by-step explanation:

This is an example:

8 0

3 years ago

How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?

kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution is added

so, we get solution as

$=\frac{60}{100}\times x$

$=0.6x$

we are given

40 liters of a 20% alcohol solution is

$=40\times\frac{20}{100}$

$=8$

so, total alcohol solution is

$=8+0.6x$

now, we can find total solutions

total solutions is

$=x+40$

now, it is making 50% solution

so, we get

$\frac{8+0.6x}{x+40} =\frac{50}{100}$

now, we can solve for x

$\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50$

$800+60x=50x+2000$

$10x=1200$

$x=120$

So,

120 liters of 60% alcohol solution is needed

4 0

2 years ago

From the given sides of 16, 14, and 21, determine what type of triangle it will form (right, acute, obtuse, none).

Komok [63]

Answer:

It is an acute triangle.

Step-by-step explanation:

It would be much easier for you to see where I'm getting at if you draw a diagram.

Assume this triangle is labelled ABC where a = 14, b = 21, and c = 16.

cos A = (16^2 + 21^2 - 14^2)/(2(16)(21))

∠A = cos^-1(0.82291...)

∠A ≅ 34.6°

cos B = 16^2 + 14^2 - 21^2)/(2(16)(14))

∠B = cos^-1(0.024...)

∠B ≅ 56.8°

∠C = 180 - (∠A + ∠B)

∠C ≅ 56.8°

Since there is no right-angle nor is there an obtuse angle,

Therefore the triangle is an acute triangle.

4 0

3 years ago