Answer:
0.5
Step-by-step explanation:
If there are twenty white marbles in a bag of 40, then the chances of drawing a white marble is 20/40, or 0.5: one chance in two of drawing white.
Answer:
the answer is -3
Step-by-step explanation:
-8/2 divided by 6/-3 equals -24/18
-24/18 simplified is -3
Answer:
Rhonda should be thinking that the state income tax deduction was in excess by $4.89
Step-by-step explanation:
The state income tax withholding should have been 21% of the her federal income tax withholding of $122.25
The expected state income tax withholding=21%*$122.25=$25.67
The actual amount deducted for state income tax is $30.56 which translated into excess deduction of $4.89.
The actual deduction was 25% of federal income tax ($30.56/$122.25)
Answer:
The lines below are parallel. If the slope of the solid line is –3
Step-by-step explanation:
Answer:
48 ft
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g
mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft