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Alenkasestr [34]
2 years ago
11

Find the area of an equilateral triangle with radius 22 cm. Round to the nearest whole number.

Mathematics
1 answer:
daser333 [38]2 years ago
6 0
In this item, we are given with the radius equal to 22 cm.

This measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60°  and equal to the hypotenuse times (1/2)(√3)

If we let s be the side of the triangle then,
                 s/2 = r(1/2)(√3)
Multiplying the equation by 2,
                 s = r√3
Substituting,
              s = (22 cm)(√3) = 22√3

The area of the equilateral triangle is computed through the equation,
         A = (√3 / 4)(s²)
Substituting,
     <em>    A = (√3 / 4)(22√3)² = 628.7 cm²</em>

Therefore, the answer to this item is the first choice. 
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In circle E, and are diameters. Angle BCA measures 53°. Circle E is shown. Line segments A C and B D are diameters. Lines are dr
yuradex [85]

Answer:

74

Step-by-step explanation:

5 0
2 years ago
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Which percentage of weight was lost if a patient weighed 102 kg and is currently 96 kg?
galina1969 [7]

Answer:

Step-by-step explanation:

you have to make a box like this:

║ ---------- ║------------ ║     label one side percent and the other amount

║   x%     ║    96 kg  ║

║ _    _   _║_____ _║   Now if the patient originally weighed 102 kg which

║100%    ║    120 kg ║    is 100% place the numbers in the bottom box.

║ _  _  _  ║ _   _   _ ║     and if the patient currently weighs 96 kg then let

 Percent     Amount       percentage of the weight lost be x. Now cross multiply.  You should get 100*96=120*x. Simplify that to get 9600=120x, now divide by 120 on both sides and you get 80 so x= 80. But the problem isn't done yet. Now you have to subtract 80% from 100% to find the weight lost, because 80% is the percentage of the current weight. after you have subtracted you get 20

20% of the original weight was lost.

4 0
2 years ago
If 40% of a number is 32, what is 25% of that number?
Mekhanik [1.2K]
Well what I would do is split the 40% into 20% so from 40% to 20% that is /2. So 32/2=16 so 20% of a number is 16, we know there is 5, 20% in 100% so multiply 16 and 5 which gives you 80. Now 25% of 80 is the same as 80*.25 or 80/4 which is 20

Your Answer 20
7 0
2 years ago
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The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?
mario62 [17]
<span>The dimensions are 40 inches by 55 inches.

Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.

Combining like terms, we have
2y+22/8y=190.

Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.

Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).

Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).

To divide fractions, flip the second one and multiply:
 y=190*(4/19)=760/19=40.

Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>
8 0
2 years ago
The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millim
rjkz [21]

Answer:

Step-by-step explanation:

Given is a paired data which consist of temperatures (X in mm) and growth

We have to find the linear correlation i.e. the measure of association between these two variables.

x y xy x^2 y^2

     

62 36 2232 3844 1296

76 39 2964 5776 1521

50 50 2500 2500 2500

51 13 663 2601 169

71 33 2343 5041 1089

46 33 1518 2116 1089

51 17 867 2601 289

44 6 264 1936 36

79 16 1264 6241 256

     

Mean 58.88888889 27 1623.888889 3628.444444 916.1111111

cov 33.88888889    

std dev x 13.43916333 14.50861813    

sx *sy      

r 0.195529176    

Hence we find that correlation coefficient 0.1955.

7 0
2 years ago
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