1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksi-84 [34.3K]
2 years ago
7

A company logo is shaped like an equilateral triangle with 6-inch long sides. What is the height of the logo? Round to the neare

st tenth.
Mathematics
1 answer:
blondinia [14]2 years ago
6 0

Answer:

5.2 in

Step-by-step explanation:

An equilateral triangle is a triangle with 3 equal sides

Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height

The Pythagoras theorem : a² + b² = c²

where a =  height

b = base = 6 in / 2 = 3 in  

c =  hypotenuse = 6 in

6² = 3² + h²

h = 36 - 9 = 27

√27 = 5.196 inch

to the nearest tenth = 5.2 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

You might be interested in
What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62,
ra1l [238]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

62, 88, 89, 90, 92, 95, 96, 98, 100, 100

Calculating the Range:

= Greatest - Lowest\\\\= 100 - 62\\\\ = 38

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 88, 89, 90, 92, 95, 96, 98, 100, 100

Calculating the range without outlier = 100 - 88 = 12

Inter Quartile Range = Q_3 - Q_1

IQR = 98 - 89 = 11

Calculating the IQR without outlier = 99 - 89.5 = 9.5

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

5 0
2 years ago
Which product will be positive?
Sladkaya [172]

Answer:

-7 × (-4) will have a positive product.

Step-by-step explanation:

product of the two number are positive only if the two numbers have the same sign either both (+) or both (-).

and -7 × (-4) = 28.

here 28 is positive.

6 0
3 years ago
Find the value of y in the given triangle
Andre45 [30]

Given:

In the given triangle,

With respect to y, Perpendicular = 10 cm and Base = 8 cm

To find the value of y.

Formula

By Trigonometric Ratio we get,

tan\theta = \frac{Perpendicular}{Base}

Now,

Putting the values of perpendicular and base we get,

tan\theta = \frac{10}{8}

or, \theta = tan^{-1} (\frac{10}{8})

or, \theta = 51.34 ^\circ

Rounding off to the nearest tenth, we have;

\theta = 51.3 ^\circ

Hence,

The value of y is 51.3°.

7 0
3 years ago
A yellow ball, a red ball, a white ball and a
OleMash [197]

Answer:

1/4 chance (this is equal to 25% as a percentage or 0.25 as a decimal)

Step-by-step explanation:

There are 4 balls and only one can be first. As there is only 1 yellow ball, there is 1/4 chance that the yellow ball is picked first.

4 0
2 years ago
Factor completely 5x^2 − 40.
AVprozaik [17]

Answer:

5(x^2−8

Step-by-step explanation:

There you go

8 0
2 years ago
Other questions:
  • -14+3x+30 = 7(2x+4)+x
    12·1 answer
  • A random sample of n = 64 observations has a mean x = 29.9 and a standard deviation s = 3.7.
    6·1 answer
  • Find the surface area of the given prism.
    5·1 answer
  • The temperature on a Christmas morning was -7 degrees celsius. Three hours later the temperature dropped 5 degrees. Then by noon
    11·1 answer
  • When you form general ideas and rules based on your experience and observation you call that form of reasoning
    6·1 answer
  • Anna has 7 baskets and some flowers. She has 5 fewer baskets than flowers. How many flowers does anna have?
    6·1 answer
  • Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6
    13·1 answer
  • Jaden'sretirementpartycosts
    7·2 answers
  • Carmen participated in a read a thon.Mr.Cole pledged $4.00 per book and gave Carmen $44.How many books did Carmen read?​
    13·1 answer
  • A seagull is flying 20 feet above sea level.A fish is swimming 15 feet below sea level. Which is the farthest away from the surf
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!