Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
= 
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
In 7th grade:
red-hair students =58
another color hair students =609
In 8th grade:
red-hair students =60
Let's assume
another color hair students =x
now, we are given
The numbers of red-haired students in 8th grade are proportional to the numbers in 7th
so,
now, we can solve for x
we get
we get
so, students have another color hair in 8th grade is 630.........Answer
By definition, the area of a triangle is given by:
A = (1/2) * (b) * (h)
Where,
b: base
h: height
The area of the original triangle is 3 mm² and is dilated by a factor of 6. We have then
A = (1/2) * (6b) * (6h)
A = (1/2) * (b) * (h) * (6) * (6)
A = 3 * (6) * (6)
A = 108 mm²
answer
The area of the dilated triangle is 108 mm²
Answer: the 57 the term is - 909
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 13
d = - 29 - - 13 = - 45 - - 29 = - 16
n = 57
We want to determine the value of the 57th term, T57. Therefore,
T57 = - 13 - 16(57 - 1)
T57 = - 13 - 896
T57 = - 909
