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
Masja [62]
3 years ago
11

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC

Mathematics
2 answers:
Luda [366]3 years ago
5 0

Answer:

\boxed{2.29}

Step-by-step explanation:

The length of AB is 3 units.

The length of CD is \sqrt{3} units.

D is the mid-point of points A and B.

AD is half of AB.

\frac{3}{2} =1.5

Apply Pythagorean theorem to solve for length of AC.

c=\sqrt{a^2 +b^2 }

The hypotenuse is length AC.

c=\sqrt{1.5^2 +(\sqrt{3}) ^2 }

c=\sqrt{2.25+3 }

c=\sqrt{5.25}

c= 2.291288...

valina [46]3 years ago
3 0

Answer:

\boxed{AC = 2.3}

Step-by-step explanation:

AD = BD  (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>

c^2 = a^2+b^2

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

AC^2= (1.5)^2+(\sqrt{3} )^2

AC^2 = 2.25 + 3

AC^2 = 5.25

Taking sqrt on both sides

AC = 2.3

You might be interested in
HELP ME PLEASE ITS DUE TODAY!!!!
Stells [14]

Step-by-step explanation:

- 5 - ( - 4) =  - 5 + 4 =  - 1 \\  - 4 - ( - 5) =  - 4 + 5 = 1 \\  - 4 - (5) =  - 4 - 5 =  - 9 \\ 4 - ( - 5) = 4 + 5 = 9

Therefore ranking them from least to most:

- 4 - (5) \\  - 5 - ( - 4) \\  - 4 - ( - 5) \\ 4 - ( - 5)

5 0
3 years ago
A rectangular prism has a volume of 100 cm3. The length of the prism 25 cm, the height is 2 cm, but the width is unknown. What i
Tanya [424]

Answer:

w = 2 cm

Step-by-step explanation:

100 = 25 x 2 x w

w = 2 cm

7 0
3 years ago
Step by step plz <br> 2x^2 + x - 3
Aleks04 [339]

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

7 0
3 years ago
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o
Lorico [155]

Answer:

9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}

4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}

Now let us compare sides of our original photo with corresponding sides of poster.

\frac{36}{4} =9          

Now let us compare the second pair of corresponding sides.

\frac{54}{6} =9

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

5 0
3 years ago
Calculate the future value (in dollars) of $1,550 deposited into an account earning an annual simple interest rate of 4% compoun
RUDIKE [14]

Answer: the future value is $1748.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1550

r = 4% = 4/100 = 0.04

n = 365 because it was compounded 365 times in a year.

t = 3 years

Therefore,.

A = 1550(1 + 0.04/365)^365 × 3

A = 1550(1+0.00011)^1095

A = 1550(1.00011)^1095

A = 1550 × 1.128

A = 1748.4

8 0
3 years ago
Other questions:
  • THE RIGHT ANSWERRRRRR
    10·1 answer
  • Solve please √x-5+7=9
    10·2 answers
  • Consider the original rectangle and the rectangle that has been reduced by 0.5.
    11·1 answer
  • I need help on problem 1
    8·1 answer
  • The difference of 4x and 3 is -6
    13·1 answer
  • PLZZZ HELPPP THIS IS DUE!!
    15·1 answer
  • Find the value of the variable​
    10·1 answer
  • Notebooks cost $1.20 each. This weekend they will be on sale for $0.80. What percentage is the sale?
    9·1 answer
  • -3(6 - 3k)<br>I need to Simplify the expression​
    7·2 answers
  • What is the area of a parallelogram whose verticles are A(-12, 2), B (6, 2), C(-2, -3), and D (-20, -3)?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!