The volume of the prism is calculated by multiplying the length, L, width,W, and depth or height, H.
V = L x W x H
Fish tank:
V = 50 cm x 25 cm x 25 cm
= 31250 cm³
Depth of the water in tank (with castle - without castle)
d = 57.5 cm - 48 cm = 9.5 cm
Volume of the caste:
V = 9.5 cm x 50 cm x 25 cm = 11875 cm³
Angles 5 and 6 are not congruent because they are on the same line, so the answer is I
Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = 
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * 
& (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
![y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2](https://tex.z-dn.net/?f=y%20-%20%28-7%29%20%3D%20%5Cfrac%7B5%7D%7B6%7D%28x%20-%20%5B-6%5D%29%5C%5C%5C%5Cy%20%2B%207%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B%206%20%2A%5Cfrac%7B5%7D%7B6%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B5-7%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B6%7Dx-2)
Answer:
{ -2,-1,0,1}
Step-by-step explanation:
The domain are the values for the input
Domain { -2,-1,0,1}
9514 1404 393
Answer:
- 18 tomatoes: £3.02
- £4.39 ⇒ 26 tomatoes
Step-by-step explanation:
a) at 12 tomatoes per box, 18 tomatoes will require 2 boxes. Then Isla's price will be ...
2(25p) +18(14p) = 50p +252p = £3.02
18 tomatoes in 2 boxes cost £3.02.
__
b) The 3 boxes cost 3(25p) = £0.75, so the tomatoes cost ...
£4.39 -0.75 = £3.64
at 14p each, the number of tomatoes is £3.64/£0.14 = 26
There are 26 tomatoes in 3 boxes costing £4.39.
