Answer: 1 27
2. 54
9 243
10. 270
Step-by-step explanation: for one batch, the total minutes will be 15 + 12, so 27. Multiply 27 times b, the number of batches.
There may be another solution IF he is starting to prepare the next batch while the preceding is in the oven. Since this is not stated, I won't offer that solution here.
Answer:
Cliff is 45 m tall.
Step-by-step explanation:
Given:
Height of Sarah = 1.8 m
Angle of elevation = 60°
Angle of elevation 50 m back = 30°
As shown in the figure we have two right angled triangles SPQ and SPR.
Let the height of the cliff be
meters and
.
Using trigonometric ratios:
tan (Ф) = opposite/adjacent
In ΔSPQ. In ΔSPR.
⇒
...equation (i) ⇒
...equation (ii)
Dividing equation (i) and (ii)
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒
⇒
meters
To find
plugging
in equation (i)
⇒ 
⇒ 
⇒
meters
The height of the cliff from ground :
⇒ 
⇒ 
⇒
meters
The cliff is 45 m tall to the nearest meter.
Answer:
Step-by-step explanation:
2y + 14x - 7x + 9y
2y + 9y + 14x - 7x
11y + 7x
The answer would be 46,47,48,49
Answer: the total amount of money that they wanted to raise is $2400
Step-by-step explanation:
Let x represent the total amount of money that Keelan and her friends want to raise.
After the first event they raise $240 which is 10% of the total amount they want to raise. The amount of money that raised after the first event is expressed as
10/100 × x = 0.1 × x = 0.1x
Therefore,
0.1x = 240
Dividing both sides of the equation by 0.1, it becomes
x = 240/0.1
x = $2400