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
ryzh [129]
3 years ago
13

Calculate the length of AC, to the nearest tenth of a centimeter.

Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0

Answer:

AC ≈ 11.0 cm

Step-by-step explanation:

Using Pythagoras' identity in Δ CDE and Δ ADE

CE² + DE² = DC²

CE² + 7² = 8²

CE² + 49 = 64 ( subtract 49 from both sides )

CE² = 15 ( take the square root of both sides )

CE = \sqrt{15}

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

AE² + DE² = DA²

AE² + 7² = 10²

AE² + 49 = 100 ( subtract 49 from both sides )

AE² = 51 ( take the square root of both sides )

AE = \sqrt{51}

Then

AC = AE + CE = \sqrt{15} + \sqrt{51} ≈ 11.0 cm ( to the nearest tenth )

You might be interested in
Can't seem to figure out this problem. Can anyone help?
Juli2301 [7.4K]
 the third fifth and first

8 0
3 years ago
The solution set for -p2 − 11p = 0 is { }. (Separate the solutions with a comma.)
ikadub [295]

Answer:

0,-11

Step-by-step explanation:

-p^2 − 11p = 0

Factor out -p

-p( p+11) =0

Using the zero product property

-p =0    p+11 =0

p =0      p = -11

3 0
3 years ago
Which of the following is the least? A. 0.105 B. 0.501 C. 0.015 D. 0.15
Naddika [18.5K]
C is the least that is beause it is .015  which is smaller than 0.15
8 0
3 years ago
HELP ME!!! 4- 5/8 =?
BlackZzzverrR [31]

Answer:

27/8

Step-by-step explanation:

1.) 4-5/8

Convert element to fraction

2.) 4 x 8/8-5/8

3.) 4 x 8-5/8

4.) 27/8

7 0
2 years ago
What Val are restricted from the domain of
djverab [1.8K]

<u>Given</u>:

The given expression is \frac{\left(4 x^{2}-4 x+1\right)}{(2 x-1)^{2}}

We need to determine the values for which the domain is restricted.

<u>Restricted values:</u>

Let us determine the values restricted from the domain.

To determine the restricted values from the domain, let us set the denominator the function not equal to zero.

Thus, we have;

(2x-1)^2\neq 0

Taking square root on both sides, we get;

2x-1\neq 0

     2x\neq 1

      x\neq \frac{1}{2}

Thus, the restricted value from the domain is x\neq \frac{1}{2}

Hence, Option A is the correct answer.

7 0
3 years ago
Other questions:
  • Four hundred grams of grass seed are used for every 100 m2. Find the amount of seed needed, in kilograms, to cover 3000 m2?
    14·1 answer
  • Find the value of y for a given value of x, if y varies directly with x
    14·1 answer
  • Use stoke's theorem to evaluate∬m(∇×f)⋅ds where m is the hemisphere x^2+y^2+z^2=9, x≥0, with the normal in the direction of the
    7·1 answer
  • A number between 61-107 and are multiples of 3,8,12
    5·1 answer
  • Which is the best estimate for the number of items that customers bought during a trip to the grocery store one day?
    7·2 answers
  • 17.
    15·2 answers
  • What is the distance along the unit circle between any two successive 8th roots of 1?
    8·1 answer
  • Graph the image of the given triangle after the transformation with the rule (x, y) - (y, ,x )
    6·1 answer
  • Supposed that 2000is placed in an account that pays 14% each year no withdrawals are made from the account
    9·1 answer
  • The ________________ measures the spread of the middle 50% of the data set.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!