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
ale4655 [162]
2 years ago
13

Calculate AC to 1 decimal place ?

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0

Step-by-step explanation:

first we need to find the length of CD, so that we can use Pythagoras to find AC.

to get CD we use again Pythagoras. there is a smaller right-angled triangle on top of the BCD rectangle.

so, AD = 11 = 4 + 7

7 = the vertical leg of the upper right-angled triangle.

the horizontal leg is congruent to CD and is

sqrt(16² - 7²) = sqrt(256 - 49) = sqrt(207).

AC² = sqrt(207)² + 11² = 207 + 121 = 328

AC = sqrt(328) = 18.11077028... cm ≈ 18.1 cm

You might be interested in
Wiley is making monthly payments of $88.00 to pay off a loan that he took out to buy a fence, but he wants to pay off his loan f
bekas [8.4K]
Making larger monthly payments than required will pay off a loan faster.  Thus, the answer is A.
6 0
3 years ago
Read 2 more answers
2 over 3 plus 3 over 8
denis-greek [22]

Hello,

The answer to your question is....

2/3 + 3/8

= (2 × 8) + (3 × 3)

          3 × 8

= 25/24 OR 1 1/24

Hope this helps!!!! Sorry I took so long :)


3 0
3 years ago
Some of the children at a school arrive by car.
scZoUnD [109]

Answer:

  • <u>74%</u>

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

               Car         No car      Total

Boys

Girl

Total

Fill the table

  • <em>30% of the children at the school are boys</em>

             Car         No car      Total

Boys                                       30%

Girl

Total

  • <em>60% of the boys at the school arrive by car</em>

That is 60% of 30% = 0.6 × 30% = 18%

             Car         No car      Total

Boys      18%                         30%

Girls

Total

By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total

Also, you know that the grand total is 100%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total                                     100%

By difference you fill the total of Girls: 100% - 30% = 70%

             Car         No car      Total

Boy       18%           12%         30%

Girl                                         70%

Total                                     100%

  • <em>80% of the girls at the school arrive by car</em>

That is 80% of  70% = 0.8 × 70% = 56%

             Car         No car      Total

Boy       18%           12%         30%

Girl       56%                         70%

Total                                     100%

Now you can finish filling in the whole table calculating the differences:

             Car         No car      Total

Boy       18%           12%         30%

Girl        56%         14%         70%

Total     74%          26%      100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that  arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

8 0
3 years ago
A sphere has a diameter of 14 units. what is the volume of the sphere in cubic units ? If a cylinder have the same radius as th
Dimas [21]

Answer:

Therefore, the volume of sphere is 1436.03 cubic units.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1.2 x 10^-1 in decimal form
mafiozo [28]

Answer:

0.12x is the answer

Brainliest please :)?

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Because higher education is free in argentina, nearly how many of the eligible students are enrolled in secondary schools? 1/4 1
    10·2 answers
  • X to the power of 6 minus 2 to the power of 6
    14·1 answer
  • A board is 7 feet 9 inches long. How long is it in inches?
    6·2 answers
  • When purchased, a beach ball is deflated and packaged flat. The package states that when inflated to its maximum capacity, the r
    9·1 answer
  • To the nearest tenth, what's the circumference of a circular pond with a radius of 14 meters?
    9·2 answers
  • PLEASE ANSWER ASAP!! e)What is the measure of ∠I? Explain
    9·1 answer
  • Please help I’ve got the answer just not sure if it’s 11.9 or 12
    10·1 answer
  • I need help i dont understand​
    14·2 answers
  • What is 8.154 to 1 decimal place?<br>​
    10·1 answer
  • 3 &lt; y ⩽ 7 where y is an integer Write down all the possible values of y
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!