Answer:
B) 12
Step-by-step explanation:
The difference between a and b = 18 - 4 = 14 units
4/7 of this difference = (4/7) x 14 = 8
the location of the point is hence the value at "a" plus 4/7 of the difference
= 4 + 8
= 12
Answer:
The total distance around the canvas painting is 60 cm.
Step-by-step explanation:
The total distance around the canvas painting is 60 cm, we know this because, to find the perimeter of a square you add the length of all 4 sides together. To find the length of 1 side we take the square root of the area which is 196 cm², this equals 14 cm. To find the perimeter we add all 4 sides together, so 14+14+14+14=60 cm.
6.11 miles is Emily’s Distance amount
Answer:
2.5
Step-by-step explanation:
A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then
Since
- AB=4;
- A'B'=10;
- AC=6;
- A'C'=15,
then the scale factor of the dilation is
Answer:
3×5×53
Step-by-step explanation:
You can use divisibility rules to find the small prime factors.
The number ends in 5, so is divisible by 5.
795/5 = 159
The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.
159/3 = 53 . . . . . a prime number,* so we're done.
795 = 3×5×53
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* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.
