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
rewona [7]
2 years ago
10

If BC = 4 and CD = 27, find AC.

Mathematics
1 answer:
jek_recluse [69]2 years ago
5 0
\Delta ABC\sim\Delta DAC\\\\then\\\\\frac{|AC|}{|BC|}=\frac{|CD|}{|AC|}\\\\|AC|^2=|BC|\cdot|CD|\\\\|AC|^2=4\cdot27\\\\|AC|=\sqrt{4\cdot27}\\\\|AC|=\sqrt4\cdot\sqrt{27}\\\\|AC|=2\cdot\sqrt{9\cdot3}\\\\|AC|=2\sqrt9\cdot\sqrt3\\\\|AC|=2\cdot3\sqrt3\\\\|AC|=6\sqrt3
You might be interested in
What is the unit rate for Bill's boffo bagel?​
Tema [17]

<u>Given</u>:

Given that the graph of Bill's Boffo Bagel.

We need to determine the unit rate for Bill's Boffo Bagel.

<u>Unit rate:</u>

The unit rate can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Let us substitute any two coordinates that the line passes through the points in the graph.

Substituting the coordinates (2,7) and (4,14) in the above formula, we get;

m=\frac{14-7}{4-2}

Simplifying, we get;

m=\frac{7}{2}

m=3.5

Therefore, the unit rate for Bill's Boffo Bagel is $3.5.

Hence, the unit rate is $3.50 for 1 bagel.

Thus, Option b is the correct answer.

7 0
3 years ago
Shen has to carry 316 apples from a farm to the market. How many baskets will he need, given that each basket can hold 43 apples
storchak [24]

Answer:

he will need 8 baskets or 7.3

3 0
2 years ago
35% of 15% of x is equivalent to which of the following
Irina-Kira [14]

Answer:

need more info to help???????

6 0
2 years ago
Please help! BRAINLIEST to correct answer!
Nostrana [21]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2 {x}^{3}  + 2 {x}^{2}  - 40x =

2x( {x}^{2}  + x - 20) =

2x(x  - 4)(x + 5)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( a )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

8 0
2 years ago
Read 2 more answers
Choose whether it's always, sometimes, never 
Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

1)

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If a\in Z\text{ and }b\in Z, then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

2)

A polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3)

If a polynomial divided by a polynomial  then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{f(x)}{g(x)}=x^2+5, which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{g(x)}{f(x)}=\frac{1}{x^2+5}, which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

4)

As we know a polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What's the GCF of 12a^2b^6, 28a^4 and 42ab^3? How did you find your answer?
    6·1 answer
  • What is this answer
    14·2 answers
  • What is -2(4g-3)=30 I can't figure it out so I need so help
    5·1 answer
  • First person to get it right gets brainliest
    14·1 answer
  • Factor <img src="https://tex.z-dn.net/?f=3x%5E2y%2B28xy%5E2%2B32y%5E3" id="TexFormula1" title="3x^2y+28xy^2+32y^3" alt="3x^2y+28
    11·2 answers
  • I need help with math ok!<br> Don't Judge Me!!!!!!!!!!!
    8·1 answer
  • HELP PLEASE LOOK AT PICTURE
    15·1 answer
  • Area and perimeter for this rectangle
    7·2 answers
  • Abdul wants to record songs that are each 6 minutes long. If he has 20 minutes of recording time, how many songs can Abdul recor
    10·1 answer
  • Simplify (-1 1/2) ÷ 3/4 x -2/3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!