Answer:
Option (2)
Step-by-step explanation:
ΔDEF is a dilation image of ΔABC.
Rule for the dilation,
Scale factor = 
= 
= 
= 
Therefore, scale factor by which ΔABC is dilated is .
Option (2) will be the correct option.
X = 75% * y
Where 'x' is the single tennis court width, and 'y' is the doubles tennis court width.
Plug in what we know:
27 = 75% * y
75% = 0.75
27 = 0.75 * y
27 = 0.75y
Divide 0.75 to both sides:
y = 36
So the doubles court is 36 feet wide.
Answer:
4.58
Step-by-step explanation:
21 is not a perfect square, but lies between the perfect squares 16 and 25. Thus, √21 lies between √16 and √25, that is, between 4 and 5. Since 21 is closer to 25 than to 16, √21 is closer to 5 than to 4. A rough estimate of √21 would be 4.7.
√21 done on a calculator comes out to 4.58.
Answer:
Step-by-step explanation:
Let's say we wanted to find the LCM of 6 and 8.
First, write the prime factorization of both:
6 = 2×3
8 = 2³
Let's include all the exponents:
6 = 2¹×3¹
8 = 2³×3⁰
The LCM needs to have the prime factors with the highest exponents.
So we need prime factors of 2 and 3. The exponent of the 2 will be three, and the exponent of the 3 will be one.
LCM = 2³×3¹
LCM = 24
Answer:
<u><em>note:</em></u>
<u><em>solution is attached in word form due to error in mathematical equation. furthermore i also attach Screenshot of solution in word due to different version of MS Office please find the attachment</em></u>
