Answer:
5
Step-by-step explanation:
Use the distance formula
d=


Hope this helps!
Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.
Scale : 1 inch = 30 miles
So, the ratio between the distance on the map and the real distance is 1:30
When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.
Call the miles we have to go : x
1:30 = 4.5:x
(1x4.5):(30x4.5) = 4.5 : x
4.5 : 135 = 4.5 : x
So, x = 135 => We have to go 135 miles to get to the place we want to go.
Answer:
The cost of 1kg jam is $7 and the cost of 1kg butter is $4
Step-by-step explanation:
Let jam = x
butter = y
3x + 2y = 29 -----(1)
6x + 3y = 54 -----(2)
(1)×2 ->
6x + 4y = 58 -----(3)
(3)-(2) ->
y = 4
suby=4into(2)
6x + 3(4) = 54
6x = 42
x = 7
(Correct me if i am wrong)
Answer:
x = 1, y = -1
Step-by-step explanation:
If we have the two equations:
and
, we can look at which variable will be easiest to eliminate.
looks like it might be easy to get rid of, we just have to multiply
by 2 and y is gone (as -6y + 6y = 0).
So let's multiply the equation
by 2.

Now we can add these equations

------------------------

Dividing both sides by 5, we get
.
Now we can substitute x into an equation to find y.

Hope this helped!