You have to divide the fractions by the numbers
<span>△ABC∼△DEF
</span>Height of <span>△ABC: h1=20 inches
</span>Height of △DEF: h2=24 inches
<span>Ratio of the area of △ABC to the area of △DEF: R=?
</span>
R=(h1/h2)^2
R=[ (20 inches) /(24 inches) ]^2
R=(5/6)^2
R=5^2/6^2
R=25/36
Answer: T<span>he ratio of the area of △ABC to the area of △DEF is 25/36</span>
Answer:
see the explanation
Step-by-step explanation:
we know that
g(x)=2f(x)
so
Find the value of g(x) for the corresponding value of f(x)
1) For x=-6, f(x)=2
Substitute
g(x)=2f(x)
g(x)=2(2)=4
2) For x=-2, f(x)=2
Substitute
g(x)=2f(x)
g(x)=2(2)=4
3) For x=0, f(x)=6
Substitute
g(x)=2f(x)
g(x)=2(6)=12
4) For x=1, f(x)=3
Substitute
g(x)=2f(x)
g(x)=2(3)=6
4) For x=6, f(x)=-1
Substitute
g(x)=2f(x)
g(x)=2(-1)=-2
Answer:
0.15 Gallons
Step-by-step explanation:
9/10 = 0.9 (Conversion)
0.9 ÷ 6 = 0.15
Answer:
Step-by-step explanation:
First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.
The area of the triangle is given by the formula:
where b is the base: 
and h is the height: 
thus, in this case we have:
And now, the volume will be the area of the triangle multiplied by the length 
of the prism:
Substituting the known values:
The volume in cubic centimeters is 150.
