Answer:
A is correct. √11 and √14 are both between 3 and 4.
Answer:
D. 6 7/8
Step-by-step explanation:
First, convert 2 3/4 to an improper fraction.
2 times 4 = 8
8+3=11
11/4 ÷2/5
Then, flip the second fraction and change the sign to multiplication.
11/4 × 5/2
Multiply.
11 × 5 = 55
4 × 2 = 6
55/6
Simplify the fraction.
6 7/8
So the total amount of money is: (65 x +50 ) cents
Answer:
Scale factor = 3
Step-by-step explanation:
Using similar triangles
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
Expand
3x+30 = 27x-90
3x-27x = -90 - 30
-24x = -120
x = 120/24
x = 5
For the larger triangle;
AC = 3x-10
AC = 3(5)-10
AC =15-10
AC = 5
AB = x+10
AB = 5+10
AB = 15
For the scale factor;
Since AT/AG = AB/AC
9/15 = 3/5
3*3/5*3 =3/5
Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3
