Take a look at the attachment to see the solution.
A = future value
P = principal (P = 12,000)
r = interest rate (r=6)
n = time periods (n=12)
The coordinates of △ABC are A(12,8), B(10,18), C(4,16) . After a dilation, the coordinates are A'(6,4), B'(5,9), C'(2,8) A′(6,4)
gogolik [260]
Take note of that every single coordinate had their values divided by 2 after the dilation. Therefore, the scaling factor is 1/2, or .5
The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.
<u>Step-by-step explanation:</u>
- The equation for the maximum speed, s is given by s²= (16/9)x
- where, x is the length of the water line in feet.
It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.
The question is asked to find the maximum speed when the length of the water is 30 feet.
Therefore, to find the maximum speed in 30 feet water, the given modeled equation is used. So, substitute the 30 feet in place of x.
<u>Now, calculating the maximum speed :</u>
s² = (16/9)(30)
s² = 480 / 9
s² = 53.3
Taking square root on both sides,
s = √53.3
s = 7.3
The maximum speed of a boat at 30 feet length of water is 7.3 nautical miles/hour or knots.
Answer:
A = 210 cm²
Step-by-step explanation:
Perimeter of the triangle = the sum of the sides of the triangle.
70 = (3x - 1) + (4x + 1) + (3x)
70 = 10x
7 = x The length of the sides of the triangle are 3x - 1 = 20; 4x + 1 = 29 and
3x = 21.
Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.
Trying a² + b² = c² to see if it is a right triangle. 20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21. The longest side is the hypotenuse in a right triangle
A = 1/2bh
A = 1/2 (20)(21)
A = 10 · 21
A = 210 cm²
By row, we have the number of students who like Ping Pong is 44 students and those who don't like Ping Pong is 56 students.
The number of students who like both Ping Pong and Dodgeball is 26 out of 44 students who like Ping Pong
Answer: 26/44 = 13/22
