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
ddd [48]
3 years ago
8

A wooden plank is leaning against a wall. The bottom of the plank is 3 feet from the wall. Answer each of the following question

s, and show all your work.
(a) Find AC, the approximate length of the plank. Round to the nearest tenth of a foot.

(b) Find BC, the height off the ground where board touches as wall. Round to the nearest foot.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.

C ====> 49 degrees

For letter a, to solve for AC:

AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.

use sine :

sin A ===> opposite/hypotenuse

Solve:

sin 49 ====> 3/AC

AC ====> 3 / sin 49

AC ====> 3.96 ft.

For letter b, to solve for BC:

We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:

a^2 + b^2 = c^2

Let:

a ===> AB

b ===> BC

c ===> AC

(AB)^2 + (BC)^2 ===> (AC)^2

3^2 + (BC)^2 ===> (3.96)^2

(BC)^2 ===> (3.96)^2 - 3^2

(BC)^2 ===> 6.6816

sqrt (BC)^2 ===> sqrt 6.6816

Answer: BC ===> 2.58 ft.

Hope that helps!!!! : )

You might be interested in
Area of 34566 square
Softa [21]

Answer:

1,194,808,356

Step-by-step explanation:

34566²

8 0
3 years ago
Write the standard form of the equation of a circle with radius 3 and center (11, 3)
Talja [164]

Answer:

<u>x² - 22x + y² - 6y + 121 = 0</u>

Step-by-step explanation:

<u>General Form of Equation</u>

  • (x - h)² + (y - k)² = r²

<u>Solving</u>

  • (x - 11)² + (y - 3)² = (3)²
  • x² - 22x + 121 + y² - 6y + 9 = 9
  • <u>x² - 22x + y² - 6y + 121 = 0</u>
4 0
2 years ago
Read 2 more answers
What is the SST for the data set (1,5), (2,9), (4,10)
lianna [129]
I think that the answer is (4,10). hope it helped :)
3 0
3 years ago
Read 2 more answers
A baby bird jumps from a tree branch and flutters to the ground. The function "f" models the bird's height (in meters) above the
AURORKA [14]

The answer to this question will depend on the function f itself. Basically you will find the height in meters above the ground of the bird when it jumped when the time t=0s. This is substsitute every t in the function for a value of zero and that way you will get the bird's height at the time it jumped. If you were given a graph for this function, you can find the y-intercept of the graph and that will be the answer as well. The question could be written like this:

A baby bird jumps from a tree branch and flutters to the ground. The function "f(t)-4.9t^{2}+25" models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping. What is bird's height above the ground when it jumped.

Answer:

25m

Step-by-step explanation:

Once your function is given, you can substitute t=0 since 0s is the time measured at the moment the bird jumped. So our function will be:

f(0)=-4.9(0)^2+25

f(0)=25m

So the height of the bird above the ground when it jumped is 25m in this particular function.

8 0
3 years ago
FASTTTTTTTTTTTTTTTTTTTTTT 50 POINTS +BRAINLIEST
Harlamova29_29 [7]

Answer:

\huge\boxed{\sf Option \ 2}

Step-by-step explanation:

\sf (\frac{4}{5})^3 \\\\

This means that 4/5 repeats itself 3 times.

So,

\sf = \frac{4}{5} * \frac{4}{5} * \frac{4}{5} \\\\= \frac{64}{125} \\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
4 0
3 years ago
Read 2 more answers
Other questions:
  • A bag of M&amp;Ms has 12 Brown 8 blue and 10 red what is the ratio of red to brown?
    13·2 answers
  • A dolphin is swimming 18 feet below the surface of the ocean.There is a coast guard helicopter 75.5 feet above the surface of th
    9·1 answer
  • ANother math question -_-
    11·1 answer
  • C. ax + bx = 10
    8·2 answers
  • Identify the parameters p and n in the following binomial distribution scenario. Jack, a bowler, has a 0.38 probability of throw
    7·1 answer
  • Given the matrixes A and B shown below ,to solve for X in the equation -A+2x=3B A=[-3 12 -3 -8 ] b=[-11 0 -5 -2 ]
    9·1 answer
  • 8n- (4n+7)=17 how do I solve
    9·2 answers
  • Can i get help plz its not hard
    6·1 answer
  • Please help it’s a slope from graph
    12·2 answers
  • Pls help urgently extra points and mark brainlist
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!