9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
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The Accusation: Thursday on the playing fields.
Answer:
5
Step-by-step explanation:
you just have to subtract 3 by 8 and then you get 5
Answer:
11 + 5√5
Step-by-step explanation:
6 + 3√5 +2√5 + 5
11 + 5√5
root n * root n = n , which is why there is a 5 at the end
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
- 6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
- 12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
<u>Slopes equal:</u>
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
<u>y-intercepts equal:</u>
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
What are you supposed to 'do' with it ?
There's a very simple reason why no 'solution' is possible:
In order to find a unique solution, you need as many equations
as variables. This is one equation in two variables, so it has
infinitely many solutions ... pairs of numbers for 'x' and 'y' that
make the equation a true statement.
Here's one of them: (π/2, 0) .
