Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: 
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.
Multiply both sides by 80
Calculate sin(46) using a calculator (make sure it's in degree mode)
Simplify
Round this to the nearest foot
Answer:
1) B/ 0.4n = 12; n = 30
2) B/ 125 – x = 58
3) B/ $1.75
Step-by-step explanation:
1) 0.4n = 12
n = 12 ÷ 0.4
n = 30
2) 125 – x = 58
– x = 58 – 125
– x = – 67 ( – & – will get cancelled)
x = 67
a) 125 + x = 58
x = 58 – 125
x = – 67 (pages won't be in negative)
c) 125 ÷ 58 = x
2.15 = x (wrong)
d) 58 – x = 125
– x = 125 – 58
– x = 67
x = 67 ÷ –1
x = – 67 ( pages won't be in negative)
3) 12x = 21
x = 21 ÷ 12
x = 1.75
Hello!
This is False. Vertical angles are directly across from one another, and have the same measurements. Complementary/Supplementary angles are always adjacent, with complementary angles totalling 90° and forming a right angle, and supplementary angles totalling 180° and forming a straight line.
The value of the unknown variable x by virtue of the geometric sequence given in the task content is; -27.
<h3>What is a geometric sequence and what is the value of x in the sequence given?</h3>
It follows from the task content above that the variable given above is a member of the geometric sequence.
Hence, since it follows from convention that the geometric sequence in discuss has same common difference across each successive term and hence , we have;
3/x = (-1/3) ÷ 3
x = -27.
Therefore, the value of the unknown variable x by virtue of the geometric sequence given in the task content is; -27.
Read more on geometric sequence;
brainly.com/question/1509142
#SPJ1
Answer:
There are 21 twenties and 8 fifties in the drawer.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of twenties
y is the number of fifties.
A cash drawer contains 29 bills.
This means that x + y = 29.
The total value of the bills is $820.
This means that 20x + 50y = 820.
So
x + y = 29
20x + 50y = 820
From the first equation, x = 29 - y. So:
20x + 50y = 820
20(29 - y) + 50y = 820
580 - 20y + 50y = 820
30y = 240
y = 8
And
x = 29 - y = 29 - 8 = 21
There are 21 twenties and 8 fifties.
