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Paraphin [41]
3 years ago
13

Write and graph a system of inequalities that models the situation.

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

The feasible region in the attached figure

Step-by-step explanation:

Let

x ----> the number of shirts

y ----> the number of pants

we know that

The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80

so

The inequality that represent this problem is

5x+8y\leq 80

using a graphing tool

The feasible region is the triangular shaded area

see the attached figure

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a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks​
Inessa [10]
<h3>The distance between two landmarks is 123 meters</h3>

<em><u>Solution:</u></em>

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

c^2 = a^2 + b^2 - 2ab\ cos c

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123

Thus, the distance between two landmarks is 123 meters

8 0
3 years ago
1. Find the remainder if f(x) = 2x³ + 8x² – 5x + 5 is divided by x – 2.​
Hunter-Best [27]

Answer:

The answer to your question is 43

Step-by-step explanation:

                                 

                  2x³  + 8x² - 5x + 5 / x - 2

Process

1.- Use synthetic division

                      2   8    -5    5     2

                           4    24  38                          

                      2  12    19   43

Quotient    2x² + 12x + 19

Remainder     43

4 0
3 years ago
Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why
Pani-rosa [81]
B because the distance between p to b is 1/4 of the line and the distance between p to a is 3/4 of the line
6 0
3 years ago
Urgent !!!!!!!!!!!!!!! 10 points
Mademuasel [1]

Answer:

136 cm²

Step-by-step explanation:

Surface area = 2(lw+wh+hl)

l = 7

w = 2

h = 6

so,

2(7×2+2×6+7×6)

= 136 cm²

6 0
2 years ago
Read 2 more answers
Help please i need help if i get this one wrong i need to start over
earnstyle [38]

Answer:

Step-by-step explanation:

Right/left by 3 units because in the equation, it added 3. Right because it is positive and Right/Left because this represents the change in the x-axis.

Up/Down by 5 units because in the equation, it added 5. Up because it is positive and Up/Down because this represnts  the change in the y-axis.

6 0
3 years ago
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