9514 1404 393
Answer:
yes
Step-by-step explanation:
The tower is about 50.1 meters tall. The guidebook is correct.
__
The distance from the base of the tower to the angle vertex is ...
d1 = h/tan(46°)
d2 = d1 +50 = h/tan(27°)
Then the height of the tower is ...
h/tan(46°) +50 = h/tan(27°)
50 = h(cot(27°) - cot(46°))
h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692
h ≈ 50.1544 . . . meters
The tower is more than 50 meters high.
Answer:
it's B
Step-by-step explanation:
It's definitely B
Answer:
4x <= 20
x <= 5
A single cupcake can cost at most $5.
Step-by-step explanation:
Let the price of a single cupcake be x.
We know that there are 4 cupcakes in a box, so 4x is equal to the price of 4 cupcakes and hence the price of a box.
The question tells us that a box costs at most $20, so we can write this as an inequality:
4x <= 20
Divide both sides by 4 to isolate and solve for x:
x <= 5
x is less than or equal to 5, which can be interpreted as a cupcake costing at most $5.
Let's assume
the number of hours Susan jogs at the increased speed is 't' hours
Since, increased speed is 6 miles per hour
after 't' hours , she travles with increased speed is 6*t miles
She starts off with a half-hour walk at a pace of 2 miles per hour
so, she travels distance
=0.5*2 miles
=1 miles
She travels a total of 4 miles
total distance is
=6t+1
now, we can set them equal

now, we can solve for t
Subtract both sides by 1


Divide both sides by 6
we get

so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer