Answer:
41.667 to the nearest thousandth.
Step-by-step explanation:
z = kx/y where k is the constant of proportionality.
Inserting the given values:
66.666666666667 = k*20/6
20k = 6*66.666666666667
k = 6*66.666666666667 / 20
= 20
So the equation of variation is z = 20x /y
When x = 25 and y = 12:
z = 20*25/12
= 41.666666666667.
Answer:
m = 36
Step-by-step explanation:
1/3 m+3- 5/6 m=-15
2m+18-5m=-90
-3m+18=-90
-3m=-90-18
-3m=-108
m=36
Answer:
19
Step-by-step explanation:
The triangle inequality tells you the possible values of x are ...
24 -10 < x < 24 +10
14 < x < 34
There are 19 integer values of x in this range.
Answer:
(1) Area of second triangle= 50 cm^2.
(2) Area of ΔABC=98 cm^2.
and Area of ΔDFG=175 cm^2.
Step-by-step explanation:
<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>
i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:
(1)
for the first question:
we have a=2, b=5.
A=8 cm^2.
Hence,
B=50 cm^2.
Hence, the area of second triangle is 50 cm^2.
(2)
In second option we have:
a=6 and b=5.
A-B=77 cm^2.
A=77+B
Hence area of second triangle i.e. ΔDFG is 175 cm^2.
and area of first triangle i.e. ΔABC=175-77=98 cm^2.
Answer:
For functions, the two notations mean the exact same thing, but "f (x)" gives you more flexibility and more information. You used to say "y = 2x + 3; solve for y when x = –1". Now you say "f (x) = 2x + 3; find f (–1)" (pronounced as "f-of-x equals 2x plus three; find f-of-negative-one").
Step-by-step explanation:
For functions, the two notations mean the exact same thing, but "f (x)" gives you more flexibility and more information. You used to say "y = 2x + 3; solve for y when x = –1". Now you say "f (x) = 2x + 3; find f (–1)" (pronounced as "f-of-x equals 2x plus three; find f-of-negative-one").
