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Cerrena [4.2K]
3 years ago
10

Help asappppp tyyy ​

Mathematics
1 answer:
True [87]3 years ago
7 0

Given:

Compound shape

To find:

The area of the compound shape.

Solution:

The compound shape is splitted into two parallelograms.

<u>Bottom parallelogram:</u>

Base = 7.5 cm

Height = 5 cm

Area of the parallelogram = base × height

                                           = 7.5 × 5

                                           = 37.5 cm²

The area of the Bottom parallelogram 37.5 cm².

<u>Top parallelogram:</u>

Base = 7.5 cm

Height = 4.5 cm

Area of the parallelogram = base × height

                                           = 7.5 × 4.5

                                           = 33.75 cm²

The area of the top parallelogram 33.75 cm².

Compound shape = 37.5 + 33.75

                               = 71.25 cm²

The area of the compound shape is 71.25 cm².

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Andrews [41]

Answer:

x = -1

Step-by-step explanation:

2(x – 2) + 6 = 0

~Distribute left side

2x - 4 + 6 = 0

~Combine like terms

2x + 2 = 0

~Subtract 2 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

5 0
3 years ago
Give another name plane L
horrorfan [7]

Answer:

Any one of these three works:

plane MOU

plane MNU

plane NOU

Step-by-step explanation:

A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.

Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.

To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.

plane L can be named

plane MOU

plane MNU

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6 0
3 years ago
Determine the unknown side lengths’ to the nearest tenth. for the first question and also please help with question 6
Levart [38]

Answer:

z =15cm and

y=9.0cm

Step-by-step explanation:

Use sine rule

12/ sin53 = z / sin 90

Z = 12 x sin 90 / sin 53

Z = 15cm

To find y the angle opposite to y will be 180-(90+53)=37º

So

15/sin 90= y/sin37

y= 15 x sin37 /sin 90

y = 9.0cm

7 0
3 years ago
Write a proportion that could be used to solve for each variable. Then solve. 12 balls in 2 boxes 78 balls in x boxes
stira [4]
If 12 balls fit in 2 boxes, 6 balls fit in 1 box.  78 / 6 = 13.  78 balls fit in 13 boxes.  x = 13. 
8 0
2 years ago
In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax
Nikolay [14]

Answer:

a

 

   The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

b

   t = 2.51

c

   p-value  =  0.01207

d

 There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

    The  sample  size is  n  =  745

     The  number that said it is morally wrong is  k  =  589

       The  level of significance is  \alpha =  0.01

        The population proportion is p  =  0.75

Generally the sample  proportion is mathematically represented as

        \r p  =  \frac{k}{n}

=>     \r p  =  \frac{589}{745}

=>     \r p  =  0.79

 The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

The  standard error is mathematically represented as

     SE =  \sqrt{\frac{p(1-p)}{n} }

=>    SE =  \sqrt{\frac{0.75(1-0.75)}{745} }

=>    SE  =0.0159

Generally the test statistics is mathematically represented as

      t =  \frac{\r p - p }{SE}

=>   t =  \frac{0.79 - 0.75 }{0.0159}

=>    t = 2.51

Generally the p-value is  mathematically represented as

        p-value  =  2 * P(Z >  2.51)

From the the z-table  

            P(Z >  2.51) = 0.0060366

=>   p-value  =  2 * 0.0060366

=>   p-value  =  0.01207

From the calculation  p-value >\alpha

    Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

     

7 0
3 years ago
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