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2 years ago

3. A sprinkler rotates 75°, pauses, and then rotates another 75°, How many degrees did it rotate altogether?

Mathematics

1 answer:

prisoha [69]2 years ago

6 0

Answer: 150 degrees

Step-by-step explanation:

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35 solve the following syste

blondinia [14]

Part A: The solution is $(-0.923,5.692)$

Part B: The point $(3,7)$ is not in the solution set.

Explanation:

Part A: The given inequalities are $3 x+4 y>20$ and $x$

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

$x=3 y-18$ and $3 x+4 y=20$

Let us substitute $x=3 y-18$ in the equation $3 x+4 y=20$ , we get,

$3 (3y-18)+4 y=20$

$9y-54+4y=20$

$13y=74$

$y=5.692$

Substituting $y=5.692$ in $x=3 y-18$ , we get,

$x=3 (5.692)-18$

$=17.076-18$

$x=-0.923$

Thus, the solution set is $(-0.923,5.692)$

Part B: Now, we shall determine whether the point $(3,7)$ is in the solution set.

Let us substitute the point $(3,7)$ in the inequalities $3 x+4 y>20$ and $x$ , we get,

$3 (3)+4 (7)>20$

$9+28>20$

$37>20$

Also, substituting $(3,7)$ in $x$ , we get,

$3$

Since, the point $(3,7)$ does not satisfy one of the inequality $x$ , the solution set does not contain the point $(3,7)$

Thus, the point $(3,7)$ is not in the solution set.

8 0

2 years ago

If anybody willing to help me with my geometry work that’s done by 6pm please contact me by my number 9014132287

My name is Ann [436]

Do not listen to those bots

4 0

2 years ago

A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 p

Liula [17]

Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first. Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x C1 C2

0 12 0

1 20 10

2 28 20

3 36 30

4 44 40

5 52 50

6 60 60

7 68 70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

Up to 5 visits, the non-member cost is better. At 6 visits, there's the same price. For more than 6 visits, the member cost is better.

7 0

2 years ago

517 37/50 + 312 3/100

fgiga [73]

Answer: 829 3/4 or 829 75/100

Step-by-step explanation:

6 0

3 years ago

Jeremy’s fruit stand sells peaches and watermelons. In the first hour the fruit stand is open, 12 bushels of peaches and 5 water

polet [3.4K]

We define the variables:
p: cost of bushel of peaches
w: cost of watermelon
We wrote the system of equations:
12p + 5w = 150
15p + 8w = 198
We can represent the system in matrix form as
Ax = b
Where,
A = [12 5; 15 8]
b = [150; 198]
x = [p; w]

3 0

3 years ago

Read 2 more answers