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oee [108]
3 years ago
13

Judy claims that she can find 0.5 x 2.4 by dividing 2.4 into two equal parts. Is she correct? Draw a decimal model to explain

Mathematics
2 answers:
san4es73 [151]3 years ago
3 0
Yes because 2.4 in half is 1.2
AveGali [126]3 years ago
3 0

Answer:

Judy's claim to divide 2.4 by 2 is the same as multiplying 2.4 * 0.5 is:

  • <u>Correct</u>.

Step-by-step explanation:

Multiplying a number by 0.5 (whose fractional is 1/2) is the same as dividing this number by 2, this case is very easy to identify by making different examples in which said decimals and integers are used, checking that the result is the same:

EXAMPLES.

1. 12*0.5 = 6

   12/2 = 6

2. 3*0.5 = 1.5

   3/2 = 1.5

3. 5.5*0.5 = 2.75

   5.5/2 = 2.75

As you can see in the previous examples, performing the operation by both methods is correct.

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Find the measure of each side of this triangles. Answer in exact form. ​ Find x and y
Firdavs [7]

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30)  = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12  = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

4 0
3 years ago
What is the product of 4 and 8V200 in simplest radical form?
Sonja [21]

Answer:

320√2

Step-by-step explanation:

4 * 8√200

= 4 * 8√2√100

= 32 * √2 * 10

= 320√2

4 0
2 years ago
4.
wolverine [178]
B I hope it helps for you
3 0
2 years ago
Two angles supplementary. the first angle measures 60 what's the second
IgorLugansk [536]

choices? i cant tell without choices


4 0
3 years ago
On each task card, there are four statements. Three are correct and one is INCORRECT. Find the incorrect statement and give the
Mrac [35]

Answer:

Statement 4 is incorrect.

Step-by-step explanation:

#4 is incorrect. This statement is assuming that both 3x+5 and 4x are equal, but the correct way to use them and achieve 180 (definition of supplementary) degrees is by writing it as: 3x+5 + 4x = 180. (I spaced the 3x+5 and 4x to make it clear that these are two angles added together.) With this equation, you will be able to find the x and the substitute it back in to complete the equation.

8 0
3 years ago
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