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:
D
Step-by-step explanation:
If you look at the centerand radius of a circle (those are the two most important things when defining a circle), you will see, they shrank by a factor of two, so since it affected both x and y, it had to be from the origin.
Answer:
Therefore the maximum number of bouquets is 12.
Step-by-step explanation:
Given that, Angelina has 24 tulip and 36 roses.
To find the number bouquets, we need the find out the g.c.d (greatest common divisor) of 24 and 36.
24= 2×2×2×3
36=2×2×3×3
The common factors are = 2,2,3
The g.c.d of 24 and 36 is =2×2×3
= 12
Therefore the maximum number of bouquets is 12.
Answer:
2.2
Step-by-step explanation:
This is because you can use long divison on paper, 25 goes in 50 2 times so it would be remaining with 5 and since you need no remainers bring down a zero which gives you an extra 50 and 25 goes in 50 2 times so 2.2
Answer:
A 3 goes in the parentheses. The expression evaluates to 59.
Step-by-step explanation:
b = 3
2b^3 + 5 =
= 2(3)^3 + 5
= 2 * (3 * 3 * 3) + 5
= 2 * 27 + 5
= 54 + 5
= 59
