Answer:
37°
Step-by-step explanation:
we're going to use cosine rule In calculating for the value of angle A
note that cosine rule can be used when two sides are given with an included angle . from the diagram above, the two sides given are side AB and side AC and the included angle is A
Hence cosine rule
a^2 = AB^2+AC^2 - 2AB×AC Cos A
3.2^2= 2.1^2+4.6^2-2×2.1×4.6COSA
10.24 =4.41+21.16- 19.32 COSA
10.24 = 25.57-19.32COSA
10.24-25.57= -19.32COSA
-15.33= -19.32COSA
dividing bothsides by - 19.32
COSA= -15.33/19.32
COA= 0.79347826
A = COS^-1 (0.79347826)
A= 37.488
A= 37°
<h2>hope this helps!!</h2>
Step-by-step explanation:
Mechanical advantage can be defined using distances:
Mechanical advantage = input distance / output distance
Or it can be defined using forces:
Mechanical advantage = output force / input force
Solving for the output force:
Output force = mechanical advantage × input force
Plugging in values:
Output force = 2.2 × 202 N
Output force = 444.4 N
Answer: it cost a customer $7.25 to buy five tulips and $10.5 to buy six roses.
Step-by-step explanation:
Let x represent the cost of 1 tulip.
Let y represent the cost of 1 rose.
The price of each tulip is the same and the price of each roses the same. One customer bought seven tulips and nine roses for $25.90. This means that
7x + 9y = 25.9 - - - - - - - - - - - - - - 1
Another customer bought for four tulips and eight roses for $19.80. This means that
4x + 8y = 19.8- - - - - - - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 7, it becomes
28x + 36y = 103.6
28x + 56y = 138.6
Subtracting, it becomes
- 20y = - 35
y = - 35/ - 20
y = 1.75
Substituting y = 1.75 into equation 2, it becomes
4x + 8 × 1.75 = 19.8
4x + 14 = 19.8
4x = 19.8 - 14 = 5.8
x = 5.8/4
x = 1.45
The cost of 5 tulips would be
1.45 × 5 = $7.25
The cost of 6 roses would be
1.75 × 6 = $10.5
Answer:
11
Step-by-step explanation:
√121=11 so right answer is B
Answer:
the last one
Step-by-step explanation:
3.5(w) 3.5 per week or 3.5 change per week
hope this was helpful
