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irga5000 [103]
3 years ago
14

6. The angle of depression from the top of a tower to a boulder on the ground is 38°. If the tower is 25 m high,

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0
Tan38 = 25/x
.781 = 25/x
31.998 = x
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3. The population of a city grows at a rate of 5% per
saul85 [17]

Answer:

the answer is B. 2008

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3 years ago
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Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani
Natali [406]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|

We have the constraints:

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0
3 years ago
9.21 <br><img src="https://tex.z-dn.net/?f=9.21%20%5Cdiv%200.4%20%3D%20" id="TexFormula1" title="9.21 \div 0.4 = " alt="9.21 \di
Whitepunk [10]
Let us do it by converting the 0.4 to a fraction, it has one decimal, so we'll use one zero at the denominator.

and 9.21 to a fraction as well, two decimals, thus two zeros at the denominator then,

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3 0
3 years ago
-3y = 2x - 9; x= -3, 0, 3
astraxan [27]
1.)-3y=2* -3-9
    -3y=-6-9
    -3y=-15
        y=5
    -3*5=-15
2.)-3y=2*0-9
    -3y=0-9
    -3y=-9
       y=3
     -3*3=-9
3.)-3y=2*3-9
    -3y=6-9
    -3y=-3
      y=1
     -3*1=-3
3 0
3 years ago
fredy the frog was 18 feet down below ground in a well and is trying to climb out the first day he climbed up 7 feet but slid ba
lisov135 [29]

Writing this situation out in terms of operating with integers and indicating Fredy's position at the moment is as follows:

Fredy's position in the well = <u>13 feet in depth</u> or 5 feet from the bottom.

<h3>What is an integer?</h3>

An integer is a whole number, both positive and negative.

<h3>Data and Calculations:</h3>

Depth of well = 18 feet

Height climbed the first day = 7 feet

Height climbed the second day = 4 feet

Height of climb up the well = 11 feet

Depth of slid on the first day = 2 feet

Depth of slid on the second day = 4 feet

Total slid down the well = 6 feet (2 + 4)

The position of Fredy the Frog is at 13 feet (18 - 11 + 6) depth

Thus, based on integer operations, we can conclude that Fredy the Frog has only climbed <u>5 feet</u> (18 - 13) from the well's depth.

Learn more about integers at brainly.com/question/17695139

#SPJ1

<h3>Question Completion:</h3>

Fredy the frog was 18 feet down below ground in a well and is trying to climb out. The first day he climbed up 7 feet but slid back down <u>2 feet</u> the next day he climbed 3 feet but slid back down 4 feet.

7 0
2 years ago
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