Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
Answer:
V = length x width x height
V = 3 x 2 x 4
V = 24 cm^3
Answer:
9
Step-by-step explanation:
2p= 18
p = 18 ÷ 2
p = 9 hope it helps u
Answer: the right cost is $1.05 for a bat and 0.5c for a ball.
Step-by-step explanation:
Let's imagine x in the price of bat and y is the price of the ball
From the infor we know that:
x + y= 1.10 (dollars)
and since the bat is $1 more than the ball we can ensure that:
x - 1 = y
Now we can replace y as follow:
x + x - 1 = 1.10
2x - 1 = 1.10
2x = 1.10 + 1
2x = 2.10
x= 2.10/2= 1.05 (dollars)
Answer:
c. 2.0 < t < 2.5
Step-by-step explanation:
Since, the diameter of the lake = 2 miles,
⇒ Radius of the lake = 
= 1 mile,
Circumference of the lake = 
Total distance he/she has to cover = 
miles
Speed = 3 miles per hour,
We know that,
Thus, the time taken by her/him ( say t ),
∵ 2.0 < 2.094 < 2.5
Hence, OPTION c. is correct.
