Answer:
Volume = length× width× height
v=lwh
v=8×6×7
v=48×7
v= 336inches
Good evening
Answer:
<em>a) the cost of one apple is €</em><em>0.9</em>
<em>b) the cost of one pineapple is €</em><em>5.4</em>
<em>c) the cost of two pineapples and six apples is €</em><em>16.2</em>
Step-by-step explanation:
Consider P the price of a pineapple
A the price of an apple
A pineapple costs six times as much as an apple means P = 6A
Mum paid €7.20 for one pineapple and two apples means P + 2A = 7.20
then
6A + 2A = 7.20
then
8A = 7.20
then
A = €0.9
Since P = 6A then P = 6×(0.9) = €5.4
the cost of two pineapples and six apples
= 2P + 6A
= 2P + P
= 3P
= 3×(5.4)
= €16.2
ANSWER

EXPLANATION
From the graph, the coordinates of Y are:

We want to find the image of this point after a dilation by a scale factor of -½ about the origin.
The rule for the dilation is :

To find the coordinates of Y', we plug the coordinates of Y.


The first choice is correct.
Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°
<u>Step-by-step explanation:</u>
Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL
KM ≅ LM
3x + 23 = 7x - 37
23 = 4x - 37
60 = 4x
15 = x
KM = LM = 3x + 23
= 3(15) + 23
= 45 + 23
= 68
KL = 9x - 40
= 9(15) - 40
= 135 - 40
= 95
Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.
- Since N is the midpoint of KL and KL = 95, then NL = 47.5
- Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse
Use trig to solve for ∠L (which equals ∠K):
cos ∠L = 
cos ∠L = 
∠L = cos⁻¹ 
∠L = 45.7
Triangle sum Theorem:
∠K + ∠L + ∠M = 180°
45.7 + 45.7 + ∠M = 180
91.4 + ∠M = 180
∠M = 88.6
I think the best answer would be (A) (2.1+5.9+3.7) but the only difference is that one is negative an the other is positive