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Anon25 [30]
2 years ago
15

Given that the aspect ratio of a given rectangle is 4:3, find length and width of the rectangle if the diagonal is 2500

Mathematics
1 answer:
shusha [124]2 years ago
4 0

Answer:

D) length = 2000, width = 1500

Step-by-step explanation:

Using Pythagoras' Theorem a^2+b^2=c^2, where a and b are the legs and  is the hypotenuse of a right triangle.

Length = 4x

Width = 3x

Therefore,

(4x)^2+(3x)^2=2500^2\\\\\implies 16x^2+9x^2=6250000\\\\\implies 25x^2=6250000\\\\\implies x^2=250000\\\\\implies x=500

Therefore,

length = 4x=4 \times 500=2000

width = 3x=3 \times 500 = 1500

You might be interested in
If 3 p +3 4 =90
klemol [59]
3p + 34 = 90
3p = 90 - 34
3p = 56
p = 56/3
p = 18.67 (thats rounded)

2r + 44 = 76
2r = 76 - 44
2r = 32
r = 32/2
r = 16

53 + 6s = 1421
6s = 1421 - 53
6s = 1368
s = 1368/6
s = 228

" the product " means multiply
p x r x s = 18.67 x 16 x 228 = 68,108.16




8 0
3 years ago
How are you supposed solve x
Sergeeva-Olga [200]
Because the lines are parallel, 75 is equal to 11x-2
75=11x-2
77=11x
x=7
7 0
3 years ago
Read 2 more answers
HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation
Umnica [9.8K]

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on     No. of students          

 test (X)        with that score (f)        X \times f       ( X - \bar X)^{2}        f \times ( X - \bar X)^{2}

     50                  1                       50      1073.218      1073.2176

     57                 2                       114      663.578      1327.1552

     60                 4                       240       518.018     2072.0704

     65                 3                       195       315.418      946.2528

     72                 3                       216        115.778       347.3328

     75                12                       900        60.218       722.6112

     77                10                       770        33.178       331.776

     81                 6                       486        3.098       18.5856

     83                 6                       498        0.058        0.3456

     88                9                       792        27.458      247.1184

     90                12                      1080        52.418      629.0112

     92                12                       1104        85.378     1024.5312

     95                 2                        190        149.818      299.6352

     99                 4                        396        263.738     1054.9504

    100          <u>       5   </u>                 <u>    500    </u>     297.218   <u>   1486.088     </u>

   Total             <u>      91       </u>                <u>    7531     </u>                       <u>    11580.68    </u>

Firstly, the mean of the above data is given by;

            Mean, \bar X  =  \frac{\sum X \times f}{\sum f}

                             =  \frac{7531}{91}  =  82.76

Now, the standard deviation of the data is given by;

          Standard deviation, S.D.  =  \sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}

                                                     =  \sqrt{\frac{11580.68}{91-1}}

                                                     =  11.34

Hence, the standard deviation of the given data is 11.34.

5 0
3 years ago
The value of the digit in the hundreds placed in the number 653841 is 1/10 the value of the digit in the thousand place in which
kondor19780726 [428]
The complete question in the attached figure

we have that
the value of the digit in the hundreds place in the number 653,841 is---> 800

case  A) 748,917
the value of the digit in the thousands place------> 8000
1/10 the value of the digit is-------> (1/10)*8000=800
800=800---------------> is ok

case  B) 749,817
the value of the digit in the thousands place------> 9000
1/10 the value of the digit is-------> (1/10)*9000=900
900 is not 800

case  C) 784,817
the value of the digit in the thousands place------> 4000
1/10 the value of the digit is-------> (1/10)*4000=400
400 is not 800

case  D) 797,481
the value of the digit in the thousands place------> 7000
1/10 the value of the digit is-------> (1/10)*7000=700
700 is not 800


the answer is
the option A) 748,917

6 0
3 years ago
Enter an equation for the statement.
Advocard [28]

Answer:

40- 40

Step-by-step explanation:

hope this helps.

7 0
3 years ago
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