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ycow [4]
3 years ago
6

Given the following diagram, find the missing measures.​

Mathematics
2 answers:
Nostrana [21]3 years ago
8 0

Answer:

∠ O = 72°

Step-by-step explanation:

Since ∠ O = ∠ P and ∠ I = 36°

The sum of the 3 angles in a triangle = 180°, thus

∠ O = \frac{180-36}{2} = \frac{144}{2} = 72°

Deffense [45]3 years ago
3 0

Angle O and P are the same.

Subtract angle 1 from 180 and divide by 2:

Angle O = 180-36 /2

Angle O = 144 /2

Angle O = 72

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The length of a shadow of a building is 28m. The distance from the top of the building to the shadow is 38m. Find the height of
AlexFokin [52]
It appears that the Pythagorean theorem can be applied to this problem
  (distance to shadow)² = (height of building)² + (length of shadow)²
  (38 m)² = (height of building)² + (28 m)²
  660 m² = (height of building)²
Then the height of the building is
  height of building = √660 m ≈ 25.7 m
7 0
3 years ago
A researcher decides to split scores on an exam into quartiles. She determines that a score of 64 is at the 25th percentile, a s
allochka39001 [22]

Answer:

Answer : A

Step-by-step explanation:

The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.

percentage : 25    50   75

  score        : 64    74    80

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is  observation

(\frac{n+1}{2}) ^{th} term

If the number of observations is even, then the median is  observation and  observations.

(\frac{n}{2}+1) ^{th}

given n=3, middle term is '74'

 In this given data the median is (M) = 74

Interquartile range IQR = median of upper half-median of lower half

                                       = 80-64

                                       = 16

                            IQR = 16

8 0
3 years ago
I really need help and i need to solve this one that says solve & simplify:3/4×2/3
VARVARA [1.3K]

3/4 2/3

This is a multiplication of fractions

1.- Multiply the numerators and the denominators

3/4 x 2/3 = (3x 2) / (4 x 3)

= 6/12

2.- Simplify

= 3/6

= 1/2

4 0
1 year ago
The school playground is in the shape of a pentagon. There is a drinking fountain at each of the 5 corners of the playground. Ho
Vesna [10]
5X6= 30 5X6= 30 5X6= 30 5X6= 30 5X6= 30 5X6= 30 5X6= 30 5X6= 30 
4 0
3 years ago
Read 2 more answers
49*32’55” + 37*27’15” = ?
MrRissso [65]

Answer:

87°10''

Step-by-step explanation:

In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720

In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240

We now add the fractional parts plus the whole part of the angles together.

So,

49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.

We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600

86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' +  1'  + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''

So, 49°32'55'' + 37°27'15'' = 87°10''

6 0
3 years ago
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