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r-ruslan [8.4K]
2 years ago
11

Help me please with my question.

Mathematics
1 answer:
Hunter-Best [27]2 years ago
3 0
Domain:(-infinity,infinity),{x|x€R}
Range:(0,infinity),{y|y>0}
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A monument in the shape of a square pyramid was built in a park.
True [87]

The least amount of money that should be budgeted to paint the monument is $1692.

<h3>Least amount of money that should be budgeted</h3>

First step

Using Pythagorean theorem to find the surface area

Since POR is a right triangle

Hence:

PO=20

BR=12

OR=12

PR=√20²+12²

PR=400+144

PR=544

Area of PBC=1/2×24×√544

Area of PBC=12√544

Lateral surface area=4×12√544

Lateral surface area=48√544

Lateral surface area=1119.54²ft

Second step

Since regular paint is  2 coats 200 sq. ft per gallon

Hence:

Number of gallons=1119.54×2/200

Number of gallons= 11.2 gallons

11.2×35= 392

1119.54/80=13 gallons

13×100 =1300

Last step

Least amount=392+1300

Least amount= $1692

Therefore the least amount of money that should be budgeted to paint the monument is $1692.

Learn more about budget least amount here:brainly.com/question/7068523

brainly.com/question/25294118

#SPJ1

8 0
2 years ago
Find the equation of a line that passes through (2,8) and is parallel to the graph of y=2x+6. Write the equation in slope-interc
Rashid [163]

Answer:

The equation of a parallel line would be y = 2x + 4

Step-by-step explanation:

In order to find the equation of this line, we first have to note that paralell lines have same slopes. Therefore, since the original line has a slope of 2, we know the new line will have a slope of 2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = 2(x - 2)

y - 8 = 2x - 4

y = 2x + 4

3 0
2 years ago
Is y=3x+4 parallel or perpendicular
Sauron [17]

Answer: y=3x+4 is parallel to y=3x+7

Step-by-step explanation:

<h3> The complete exercise is: "Is y=3x+4 parallel, perpendicular or neither to y=3x+7?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

1. The slopes of parallel lines are equal.

2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:

 y=3x+4

You can identify that "m" and "b" are:

m=3\\b=4

And the other line provided in the exercise is this one:

y=3x+7

So, you can identify that:

m=3\\b=7

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

6 0
3 years ago
Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?
Anestetic [448]

Answer:

sin (-x) cos (-x) csc (-x) =cos(x)

Step-by-step explanation:

We know by definition that the cosine is an even function, therefore

cos (-x) = cos (x)

We also know that the sin is an odd function, therefore

sin (-x) = -sin (x)

By definition:

cscx = \frac{1}{sinx}.

Then:

csc(-x) = \frac{1}{sin(-x)}.

csc(-x) = -\frac{1}{sin(x)}.

Using these trigonometric properties we can simplify the expression

sin (-x) cos (-x) csc (-x)= -sin(x)cos(x)*(-\frac{1}{sin(x)})\\\\sin (-x) cos (-x) csc (-x)=cos(x)

7 0
3 years ago
Read 2 more answers
Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will w
ICE Princess25 [194]

Answer:

B

Step-by-step explanation:

4*60=240

240/13.7*25=437

6 0
3 years ago
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