Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is
where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula
The distance A'B' is √10 =3.162 units
The rounded value is option B) 6.03 which is rounded to the nearest hundredth.
<u>Step-by-step explanation:</u>
- To find the value of 8.3 x 24.2 x 0.03, we need to multiply the given numbers to get a decimal value.
- And then, after getting the value of 8.3 x 24.2 x 0.03 it should be rounded to the nearest hundredth.
<u>So, let's multiply the numbers first :</u>
8.3 × 24.2 × 0.03 = 6.0258
The value is 6.0258
<u>To round the value 6.0258 to the nearest hundredth :</u>
- The first number next to the decimal point represents the tenth.
- The second number next to the decimal point is the hundredth.
- The third number next to the decimal point is thousandth.
Therefore, to round the value to the nearest hundredth, look for the thousandth number is either less than 5 or greater and or equal to 5.
If, thousandth place is greater or equal to 5, then the hundredth number should be increased by 1.
The hundredth is 6.02 and the number in the thousandth place is 5. So add 1 to the hundredth place.
The value is rounded to 6.03 to the nearest hundredth.
Answer:
$2(T) + $1.5(S) = $34
Step-by-step explanation:
Let:
tickets be represented by T
Snacks be represented by S
As total amount she paid is $34
The expression would be:
$2(T) + $1.5(S) = $34
i hope it will help you!
It is 16 because 3x16=48 and 4x16=64!
Answer:
11/6
Step-by-step explanation:
<u>Step 1: Convert to Improper fractions</u>
3 1/3 = 3*3/3 + 1/3 = 9/3 + 1/3 = 10/3
1 1/2 = 1*2/2 + 1/2 = 2/2 + 1/2 = 3/2
<u>Step 2: Make common denominators</u>
10/3 * 2/2 = 20/6
3/2 * 3/3 = 9/6
<u>Step 3: Subtract</u>
20/6 - 9/6
11/6
Answer: 11/6
