300=2×2×5×5×3
We observe that 2 and 5 are grouped in pairs and the 3 is left unpaired.
If we multiply 300 by the factor 3 then
300×3=2×2×5×5×3×3
900=2×2×5×5×3×3 which is a perfect square.
∴ Required number is 3
root of 900 =30
Answer:
On a coordinate plane, a line goes through (0, 3) and (3, negative 1).
Tina should make 31 inch tall model to replicate 155 feet tall monument.
Step-by-step explanation:
This problem can be solved by direct unitary methods easily-
Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model
Scale= original dimension/ model dimension
Model is the miniaturised representation of a substance.
The monument is 155 feet tall
Tina replicates it with a scale 1inch: 5 feet
Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.
Hence Tina needs to make 31-inch tall model.
Answer:
<h3>25m</h3>
Step-by-step explanation:
Perimeter of the rectangular pasture P = 2(L+W)
Area A = LW
L is the length
W is the width
Given
Perimeter = 110m
Area = 750m
If the length of the pasture is 40m longer than the width, then L = W+40
110 = 2L+2w
55 = L+W .....1
750 = LW.....2
Solving simultaneously
from 1; L = 55-W
substitute into 2;
750 = (55-W)W
750 = 55W-W²
-W²+55W -750 = 0
W²-55W+750 = 0
(W²-25W)-(30W+750) = 0
W(W-25)-30(W-25) = 0
(W-25)(W-30) = 0
W-25 = 0 and W-30 = 0
w = 25m and 30m
Since L = 55-W
L = 55-25 = 30m and;
L = 55-30 = 25m
Since we are told that length id longer than the width then, the width we are going to use is 25m
Answer:
y =3x + 5
Step-by-step explanation:
The slope intercept form of an equation is expressed as;
y = mx+c
m is the slope
c is the intercept
Get the intercept
Substitute m = 3 and (-2,-1) into y = mx+c
-1 = 3(-2)+c
-1 = -6 + c
c = -1+6
c = 5
Get the equation.
Recall that y = mx+c
y =3x + 5
This gives the required equation
