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kotegsom [21]
3 years ago
15

Evaluate. Show all work 51-(21-5)x2

Mathematics
2 answers:
marishachu [46]3 years ago
8 0

Step-by-step explanation:

B bracket

O of

D division

M multiplication

A addition

S subtraction

therefore 51-32 is equal to 49

masya89 [10]3 years ago
5 0

Answer:

19

Step-by-step explanation:

51-(16)x2

16x2=32

51-32=19

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The volume of the prism is 900 cubic centimeters. The height is 15 cm and the height of the triangular base is 10 cm. What is th
gulaghasi [49]

Answer:

the length of FC = b = 12 cm

Step-by-step explanation:

The volume of prism is given along with height and height of triangular base. WE need to find the length of base.

V= B*h

where B= area of base = 1/2 * b *h

V= ( 1/2 *b * h) * h

900= 1/2 * b * 10 * 15

900 * 2 = b* 150

1800 = b* 150

=> b= 1800/150

b= 12 cm

So the length of FC = b = 12 cm

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4 years ago
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If the volume of a cube is 245cm^3 what is the length of one side?
vova2212 [387]

Answer:

73 g

Step-by-step explanation:

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3 years ago
Please help, i’ll give brainiest answer :)<br> [Image]
anygoal [31]

Answer: 20

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

  • Step 1: Find the vertices (intersections) of the constraints by either graphing or solving the system of equations. I graphed them and found two of the vertices: (0, 1) and (4,0) but needed to solve the system to find the third vertex (point of intersection).

-x + 3 = \frac{1}{3}x + 1

<u>+x   -1 </u>   <u>   +x  -1 </u>

      2 = \frac{4}{3}x

  (3)2 = (3)\frac{4}{3}x

      6 = 4x

  <u>  ÷4 </u>   <u>÷4 </u>

     \frac{3}{2} =  x

y = \frac{1}{3}x + 1

  = \frac{1}{3}(\frac{3}{2)} + 1

  =  \frac{1}{2} + 1

   = \frac{3}{2}x

Third vertex is at (\frac{3}{2},\frac{3}{2)}

  • Step 2: Input the vertices into the objective function: C = 5x - 4y

(0, 1): C = 5(0) - 4(1)

            =   0   -  4

            =      -4

(\frac{3}{2},\frac{3}{2)}: C = 5(\frac{3}{2}) - 4(\frac{3}{2})

            = \frac{15}{2} - \frac{12}{2}

            =      \frac{3}{2}

            =      1.5

(4, 0): C = 5(4) - 4(0)

            =  20   -  0

            =      20

  • Step 3: Evaluate the answers above to find the maximum: <em>20</em>

5 0
3 years ago
Let(Gn)n=1,be a geometric progression if Gk +G(k+1)=a and G(k+1) +G(k+2)=b,then find r and Gk​
kirill [66]
At least to the power or not progression 278347
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3 years ago
The coordinates of the vertices of quadrilateral ABCD are A(0, −4) , B(−4, 3) , C(3, 4) , and D(6, −1) . Drag and drop the choic
Art [367]

Answer:

The slope of AB is -7/4, the slope of BC is 1/7 , the slope of CD is 5/3, and the slope of AD is 2. So, Quadrilateral ABCD is neither a parallelogram nor a trapezoid because neither pair of opposite sides are parallel.

Step-by-step explanation:

Since, a quadrilateral having,

One pair of parallel opposite sides is Trapezoid,

While, having two pair of parallel opposite sides is parallelogram.

Since, the slope of a line segment having the end points (x_1, y_1) and (x_2, y_2) is,

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

Here, the vertices of the quadrilateral ABCD are A(0, −4) , B(−4, 3) , C(3, 4) , and D(6, −1),

Slope of AB = \frac{3+4}{-4-0}=-\frac{7}{4}

Slope of BC = \frac{4-3}{3+4}=\frac{1}{7}

Slope of CD = \frac{-1-4}{6-3}=-\frac{5}{3}

Slope of AD = \frac{-1+4}{6-0}=\frac{3}{6}=2

Hence, Quadrilateral ABCD is neither a parallelogram nor a trapezoid because neither pair of opposite sides are parallel.

7 0
4 years ago
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