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blsea [12.9K]
3 years ago
7

At a construction job for a house there are 16 painters. Of these painters, 4 of them are painting the

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

For this case, we have the total of painters is 16, so to determine what percentage is painting the interior of the house, we make a rule of three:

16 ---------------> 100%

4 -----------------> x

Where "x" represents the% of painters who paint the interior of the house.

x = \frac {4 * 100} {16}\\x = 25

Thus, 25% of painters are painting the interior of the house.

Answer:

25%

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A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
alekssr [168]

Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1

Set f'(x) equal to 8/7 and solve for x:

\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}

Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
2 years ago
Rachel earned $85.25 for working 6 1 4 hours. How much does Rachel earn per hour?
GaryK [48]

Answer:

Rachel earns per hour is $ 13.64 .

Step-by-step explanation:

As given

Rachel earned $85.25 for working 6 \frac{1}{4} hours.

i.e

Rachel earned $85.25 for working \frac{25}{4} hours.

Now calculate earning of Rachel for 1 hour .

Rachel\ earning\ for\ one\ hour = \frac{Total\ earning}{Total\ time}

Rachel\ earning\ for\ one\ hour = \frac{85.25}{\frac{25}{4}}

Rachel\ earning\ for\ one\ hour = \frac{85.25\times 4}{25}

Rachel\ earning\ for\ one\ hour = \frac{341}{25}

Rachel\ earning\ for\ one\ hour = \$ 13.64

Therefore Rachel earns per hour is $ 13.64 .

7 0
3 years ago
Read 2 more answers
How many seconds equals 54 minutes
sergeinik [125]
There’s 60 seconds in a min
60x54=3240
8 0
3 years ago
Read 2 more answers
Solve similar triangles advanced part 1​
balu736 [363]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...

  ΔABC ~ ΔADE

so the relationship between the sides is ...

  BC/BA = DE/DA . . . . . . we put the unknown value in the numerator

  x/4 = 12/(4+8)

  x = 4(1) = 4

The length of side x is 4.

4 0
3 years ago
A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

First calculate slope for the points (2, 4) and (5, 6);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}

then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



8 0
3 years ago
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