Answer:
6=72 cm; 7=15 cm; 8=30 in; 9)56.5 degrees; 10)40 in
Step-by-step explanation:
6) The height of the triangle is 12 cm. The base is around 10 cm. Triangles are 1/2(b)h, so:
1/2(10)=5
5*12=60 cm
72 is closest to this.
7) Volume is l*w*h, so:
2.5*1.5=3.75
3.75*4=15 cm
8) Again, the height is 5 and the base is 12. 1/2(b)h means:
1/2(12)=6
6*5=30 in
9) All triangles have 180 degrees. So first, add the degrees you know:
33.5+90=123.5
Now, subtract that from 180:
180-123.5=56.5
10) Trapezoids can be found by multiplying the height by the smaller base, so:
6*8=40 in
Hope this helped!
Answer:
The vertex is ( -4,1)
Step-by-step explanation:
The equation for a parabola can be written as
y = a( x-h)^2 +k where ( h,k) is the vertex
y = 2
(x + 4)² + 1
Rewriting
y = 2
(x - -4)² + 1
The vertex is ( -4,1)
54/72 gets reduced to 27/36 by the number 2 :)
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get


Now, the common prime factors are 3, 3, 3 and y. So,


Therefore, the highest common factor of the given terms is 27y.
Answer:
92
Step-by-step explanation:
CD = DT . . . . . point D is the midpoint of CT
7x -10 = 5x +6 . . . . . substitute given expressions
2x = 16 . . . . . . . . . . . add 10 -5x
x = 8 . . . . . . . . . . . . .divide by 2
Now, we can substitute this value into either expression for the length of a segment:
DT = 5x +6 = 5·8 +6 = 46
CT = 2·DT = 2·46
CT = 92