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Ksenya-84 [330]
2 years ago
11

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the le

ngth of the other leg is 21 centimeters. The student incorrectly says that the length of the hypotenuse is 7.3 centimeters. Answer parts a and b. a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter. cm. The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is (Round to the nearest tenth as needed.)
Mathematics
1 answer:
nataly862011 [7]2 years ago
6 0

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2              Substitute the values

c^2 = 32^2 + 21^2          Expand

c^2 = 1024 + 441            Combine

c^2 = 1465                     Take the square root of both sides

√c^2 = √1465  

c = 38.275

Answer: 38.3 rounded

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An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars w
KATRIN_1 [288]

Answer:

45 horseshoe crabs and 45 sea stars

Step-by-step explanation:

The aquarium initially contained x crabs and x sea stars.

"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"

(x-15):(x-27) = 5:3

(x-15)/(x-27) = 5/3

3(x-15) = 5(x-27)

3x-45 = 5x-135

90 = 2x

x = 45

5 0
3 years ago
13) -4= -b -1/3b and -23/3= 1/2a + 5/3a
Sergeeva-Olga [200]

-4=-1b-(1/3)b

-4=-(4/3)b

-4/-(4/3)=b

b=3

-------------------------------

(1/2)3+(5/3)2

3/6+10/6=13/6

-23/3=13/6a

(-23/3)/(13/6)=a

a=-46/13

7 0
3 years ago
Tell whether the angles are vertical or adjacent and solve for x. Solve 11 and 12 for 20 points and brainest.
stiv31 [10]

Answer:

11) x = 45

12) x = 30

Step-by-step explanation:

11)

3x + x = 180

4x = 180

x = 45

12)

4x = 5x - 30

4x - 5x = -30

-x = -30

x = 30

5 0
3 years ago
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
goldfiish [28.3K]
Setup is
y = k/x
8 = k/3
k = 24

Now use 6 for y
6 = 24/x
x = 24/6 = 4 or A
5 0
3 years ago
A histogram is better for _____________ data and a frequency polygon is better for ________data.
Ne4ueva [31]

A histogram is better for "discrete" data and a frequency polygon is better for "continuous" data.

<h3>What is histogram?</h3>

A histogram is a data representation that looks like a bar graph and buckets a wide range of categories into columns all along horizontal x-axis.

  • The numeric count or percentage of happenings in the data for every column is represented by the vertical y-axis.
  • Columns can be employed to visualize data distribution patterns.
  • Technical analysts use the MACD histogram in trading to making data in momentum.
  • The MACD histogram columns could provide buy and sell signals earlier than the MACD and signal lines.
<h3>What is frequency polygon?</h3>

Frequency polygons are a graphs depiction of the distribution that aids in data comprehension by utilizing a specific shape.

  • Frequency polygons are comparable to histograms but are more beneficial when comparing two or more different data sets.
  • The graph primarily displays cumulative frequency distribution data as a line graph.
  • Frequency Polygons are a type of graph that deciphers information or data and are broadly used in statistics.
  • This graphic form of data representation aids in the depiction of the data's shape and trend in a systematic and organized manner.

To know more about the histogram, here

brainly.com/question/2962546

#SPJ4

5 0
1 year ago
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