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Vanyuwa [196]
3 years ago
11

A repair person charges $25 per hour plus and initial service charge of $30.

Mathematics
2 answers:
Norma-Jean [14]3 years ago
6 0

Answer:

The repair person did 5 hours of work.

Step-by-step explanation:

155 = 25x + 30

125 = 25x

5 = x

tankabanditka [31]3 years ago
3 0

Answer:

5 hours

Step-by-step explanation:

155 less 30 initial = 125 divided by 25 an hour = 5

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Semicircles
Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is 9.1\ cm^2

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

A=b^2

where

b is the length side of the square

we have

b=4\ cm

substitute

A=4^2=16\ cm^2

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

A=\pi r^{2}

The diameter of the circle is equal to the length side of the square

so

r=\frac{b}{2}=\frac{4}{2}=2\ cm ---> radius is half the diameter

substitute

A=\pi (2)^{2}

A=4\pi\ cm^2

Therefore, the area of 2 "not-shaded" regions is:

A=(16-4\pi) \ cm^2

and the area of 4 "not-shaded" regions is:

A=2(16-4\pi)=(32-8\pi)\ cm^2

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

so

A=16-(32-8\pi)=(8\pi-16)\ cm^2  

---> exact value

assume

\pi =3.14

substitute

A=(8(3.14)-16)=9.1\ cm^2

8 0
3 years ago
Please help me worth 35 points!!
mixer [17]

Answer:

Solution given:

Volume of rectangular prism=length*breadth*height

for

1st one 4in,3in,6in

Volume=4*3*6=<u>72cu.in</u>

For second one 6in,3in,2in

Volume=6*3*2=<u>36cu.in</u>

For third one 4in ,5in,4in

Volume=4*5*4=<u>8</u><u>0</u><u>c</u><u>u</u><u>.</u><u>in</u>

For forth one 2in,9in,3in

Volume=2*9*3=<u>5</u><u>4</u><u>cu</u><u>.</u><u>in</u>

7 0
2 years ago
Read 2 more answers
5. (9) Letf- ((-2, 3), (-1, 1), (0, 0), (1,-1), (2,-3)) and let g- ((-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)j. Find: a. (g f (0
pashok25 [27]

Answer:  g(f(0)) = 2 and  (f ° g)(2) = -3.

Step-by-step explanation:  We are given the following two functions in the form of ordered pairs :

f = {(-2, 3), (-1, 1), (0, 0), (1,-1), (2,-3)}

g = {(-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)} .

We are to find g(f(0))  and   (f ° g)(2).

We know that, for any two functions p(x) and q(x), the composition of functions is defined as

(p\circ q)(x)=p(q(x)).

From the given information, we note that

f(0) = 0,  g(0) = 2,  g(2) = 2  and  f(2) = -3.

So, we get

g(f(0))=g(0)=2,\\\\(f\circ g)(2)=f(g(2))=f(2)=-3.

Thus,  g(f(0)) = 2 and  (f ° g)(2) = -3.

8 0
3 years ago
Polygons ABCD and A'B'C'D' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 o
Blababa [14]
<span>A(2, -2), B(4, -2), C(1, -3), D(5, -3).

A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

That looks like a rotation 90 degrees around the origin then a translation.  

Let's do the rotation ABCD->A"B"C"D"

The rotation is (x,y)->(-y,x)

</span>A"(2, 2), B"(2,4), C"(3,1), D"(3,5).

Compare to
 
A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

we need to translate one unit to the left.

Answer: 90 degree rotation around the origin then translation by (-1,0)

5 0
2 years ago
Read 2 more answers
Jernel has to figure out the area of her
Zielflug [23.3K]

<em>Answer:</em>

<em>The answer for this question will be 324 square roots</em>

<em>Step-by-step explanation:</em>

<em>The length and width of a rectangle are interchangeable, however we usually use the longer side for the length. </em>

<em>If that's the case, </em><em>then the square is 18 x 18 = 324 square units. </em>

<em>On the other hand, the square could also be 10 x 10  square units. You choose ! In reality, the length and width, like I said, are interchangeable.</em>

5 0
3 years ago
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