Answer: y=2
Step-by-step explanation:
y/6 = 3/9 multiply both sides by 6/1 (since 6/1 times y/6 equals 1y or just y)
y = 18/9 now that y is isolated, just simplify 18/9
y=2 18 divided by 9 is 2
Step-by-step explanation:To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor.
A B C
X
3
В В В
The value of ABC is 340.
The multiplication problem can be written as follows:
ABC
x 3
-----
BBBB
The product of the two numbers is a 4-digit number, so the product of the units digits must be 4. Since 3 x 4 = 12, and the product of the units digits is 4, the units digit of the product is 4, and the carryover is 1.
The product of the tens digits must be a multiple of 10, since the product of the units digits is 4 and the carryover is 1. The only possibility is 3 x B = 1B, where B is an even digit. Since B is a single digit, the only even digit that works is 4. Therefore, B = 4, and the carryover is 1.
The product of the hundreds digits must be a multiple of 100, since the product of the tens digits is a multiple of 10 and the carryover is 1. The only possibility is 3 x A + 1 = 1A, where A is a digit greater than or equal to 3. Since A is a single digit, the only digit greater than or equal to 3 that works is 3. Therefore, A = 3, and the product of the hundreds digits is 10.
The product of the thousands digits must be 0, since the product of the hundreds digits is 10 and the carryover is 0. Therefore, C = 0.
Therefore, the value of ABC is 340.
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Answer:
ABC = 148, 3*148 = 444
Step-by-step explanation:
We know that 111 = 3* 37, so all numbers of the form BBB has the factor 37.
So we need a multiple of 37 such thant when multiplied, we get three digits the same as the middle digit.
Try 4*37 = 148, 148*3 = 444, bingo, we got the right combination.
So ABC is 148.
Answer:
Value of b = 14
Step-by-step explanation:
The detailed calculations with steps is shown in the attachment.
I need this ASAP
Answer:
65%
Step-by-step explanation:
You start by dividing 641.29 by 986.60 (641.29/986.60). This gets you .65, which as a percentage is 65%
Answer:
x = 120
Step-by-step explanation:
An equilateral triangle has 3 equal angles
The sum of the angles is 180
180/3 = 60
x + 60 = 180 since they form a straight line
x = 180-60
x = 120
Answer:
X...................
8+8i
9514 1404 393
Answer:
45. (8√2)∠π/4
46. (7√2)∠3π/4
Step-by-step explanation:
The polar form of a+bi is ...
a +bi ⇔ (√(a²+b²))∠arctan(b/a)
__
45. 8 +8i = (√(8² +8²))∠arctan(8/8) = (8√2)∠π/4
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46. -7 +7i = (√((-7)² +7²))∠arctan(7/-7) = (7√2)∠3π/4
_____
Additional comment
The arctan function usually returns a value in the range -π/2 to π/2. The quadrant of the desired result can be determined by the signs of the components of the vector. For negative real parts, π needs to be added to the value that is usually returned by the arctan function.