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
Rufina [12.5K]
3 years ago
11

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC=6 and DC=4, what is the length of AC ?

Mathematics
1 answer:
Art [367]3 years ago
4 0

Step-by-step explanation:

BC^2 + DC^2 = AC^2

6^2 + 4^2 =AC^2

36 + 16 = AC^2

52=AC^2

√52=AC

AC=7.2111

You might be interested in
What is the value of x?
Olegator [25]

Answer:

48

Step-by-step explanation:

On either side of a line, there is an angle of 180.  This means that when two lines intersect, the angles on either side will equal 180.

To solve this problem, add the two angles and set it equal to zero.

(x + 34) + (2x + 2) = 180

x + 34 + 2x + 2 = 180

3x + 36 = 180

3x = 144

x = 48

The value of x is 48.

5 0
3 years ago
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
4 years ago
Read 2 more answers
PLEASE HELP ME SO I CAN MOVE ON FROM THIS TOPIC
ExtremeBDS [4]

Answer:

3rd option

Step-by-step explanation:

(\frac{f}{g} )(x)

= \frac{f(x)}{g(x)}

= \frac{2x^2-5x-3}{2x^2+5x+2} ← factorise numerator and denominator

= \frac{(x-3)(2x+1)}{(x+2)(2x+1)} ← cancel (2x + 1) on numerator/ denominator

= \frac{x-3}{x+2}

4 0
3 years ago
If my diameter is 35.64 what is my circumference
alexgriva [62]

Answer:

55.9548

Step-by-step explanation:

35.64 ÷ 2 = 17.82

17.82 × 3.14 = 55.9548

5 0
3 years ago
Read 2 more answers
3/4-(-7/6) Write your answer in simplest form.​
allsm [11]

Answer:

\frac{3}{4}  - ( -  \frac{7}{6} ) \\  =  \frac{3}{4}  +  \frac{7}{6}  \\  =  \frac{23}{12}  \\  = 1 \frac{11}{12}

6 0
3 years ago
Other questions:
  • Mr. Skinner has four dogs. He recorded the number of cups of dog food each dog ate over the same month.
    15·1 answer
  • Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
    6·2 answers
  • Estimate the product by rounding<br> 2×6254
    14·2 answers
  • 3 1/2 × 16 need help<br>​
    15·1 answer
  • Help plz:)))I’ll mark u Brainliest
    8·1 answer
  • Need this to be solved thanks
    6·1 answer
  • What did the inventor of the 10-ton truck so often say?
    8·1 answer
  • Given g(x) = 3x + 14 , find x if g(x) = 20
    7·1 answer
  • What is f(3)??????????
    11·1 answer
  • Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviati
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!