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Sergeu [11.5K]
3 years ago
12

Help fast!!! Pls!!!!!

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0

Answer:

The height is 5 and the base is 9

Step-by-step explanation:

The area of a parallelogram is given by

A = bh

45 =x(x+4)

Distribute

45 =x^2+4x

Subtract 45 from each side

45-45 =x^2 +4x-45

0 = x^2 +4x-45

Factor

What two numbers multiply to -45 and add to 4

9+-5 = -45

9-5 =4

0=(x+9) (x-5)

Using the zero product property

0= x+9     0 = x-5

x=-9           x=5

Since length cannot be negative

x=5 is the solution

x=5

x+4 = 5+4 =9

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AFTER SCHOOL JUAN WORKS PACKING BOXES AT THE BOOK STORE EACH BOX HOLDS 5 BOOKS HOW MANY BOXES WILL JUAN NEED TO PACK 118
yulyashka [42]

Since you cannot have a fraction amount of a box, you will need to round up(you cannot NOT put in any books either, so you must round up).

118 rounded to the nearest multiple of  is 120

120/5=

20+4=

24

24 boxes!

(he better be getting paid for this)

3 0
2 years ago
each morning, danai buys breakfast on her why to work. In the past thirty days, she bought a bagel on 6 days, a banana on 12 day
Ksju [112]

Answer:

  • 0.7 or 70%

Step-by-step explanation:

Total number of days

  • 6 + 12 + 3 + 9 = 30

The number of days she bought a banana or orange

  • 12 + 9 = 21

The probability of buying a banana or an orange is

  • P(b or o) = 21/30 = 0.7 = 70%
8 0
2 years ago
6) The sum of the digits of a certain two-digit number is 8. Reversing its digits decreases the
valentina_108 [34]

Answer:

The number is 62

Step-by-step explanation:

Alright, let's say the first digit of the number is x and the second digit is y, making the number xy, then we are told that:

x+y = 8

As the sum of the two digits is equal to 8.

On top of this, we are also told that reversing the digits (xy becomes yx) decreases the original number (xy) by 36. Writing this into an equation:

yx = xy - 36

From the first equation, we find the following possibilities for number combinations:

[0,8] , [1,7] , [2,6] , [3,5] , [4,4] , [5,3] , [6,2] , [7,1] , [8,0]

Then, from the second equation we know that xy needs to be bigger than yx, since it decreases if you switch the numbers. This leaves out the first 5 possible combinations. Checking the others we find that:

[5,3] : 35 ≠ 53 - 36

[6,2] : 26 = 62 - 36 ←

[7,1] : 17 ≠ 71 - 36

[8,0] : 08 ≠ 80 - 36

There you go, the number has been found.

4 0
2 years ago
Minnesota Public Radio wants to duplicate a survey conducted in 2016 that found that 65% of adults living in Minnesota felt that
vesna_86 [32]

Answer:

The number of people needed  is n =684  

Step-by-step explanation:

From the question we are told that

  The population proportion is  p = 0.65

   The margin of error is  E = 0.03

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as

       n =[ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1-p)

=>    n =[ \frac{1.645 }{0.03} ]^2 * 0.65(1-0.65)

=>    n =684  

6 0
3 years ago
The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than
pshichka [43]

Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

<u>Let radius of the small sphere = </u>x<u />

<u>As the radius of the large sphere is double the radius of the small sphere:</u>

Then, radius of the large sphere = 2x

To find that how many times is the volume of the large sphere than the small sphere, we will <em><u>divide the volume of large sphere by  volume of small sphere:-</u></em>

For smaller sphere: Radius = x

Volume \ of \ sphere = \frac{4}{3} \pi r^{3}

                             =\frac{4}{3} \pi x^{3}

For larger sphere: Radius = 2x

Volume \ of \ sphere = \frac{4}{3} \pi r^{3}

                             =\frac{4}{3} \pi (2x)^{3}

Now, we will divide volume of the larger by the smaller one:

=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\  \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\  \times\frac{1}{x^{3} }

\frac{4}{3}\pi\   is \ canceled\  by\  \frac{3}{4\pi } \ and\ also\ x^{3} is\ canceled\ by \ \frac{1}{x^{3} }

<u>Now, we have</u>

= \frac{8}{1}

Therefore, the volume of the large sphere is 8 times larger than the smaller sphere.

7 0
4 years ago
Read 2 more answers
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