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
larisa [96]
3 years ago
8

Apply the Pythagorean Theorem to find the distance between points A and C.

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

a

Step-by-step explanation:

You might be interested in
A surveyor sights the far bank of a river at an angle of 110° to the near bank. She then moves 75 feet upriver and sights the sa
Leya [2.2K]

Answer:

Correct answer is 54.82 ft.

Step-by-step explanation:

First of all, let us label the diagram and do the construction as per the attached answer image.

Let us consider \triangle ABC:

\angle B = 90^\circ\\\angle ACB = 180-110 = 70^\circ

Let side AB = d ft and let side BC = x ft

We need to find AB to find the shortest distance across the river.

Using trigonometric identity of tangent:

tan\theta = \dfrac{Perpendicular}{Base}

tan 70 = \dfrac{d}{x}\\\Rightarrow x = \dfrac{d}{tan70} = 0.36d ..... (1)

Now, let us have a look at another right angled triangle ABD:

Let us consider \triangle ABC:

\angle B = 90^\circ\\\angle ADB = 180-150 = 30^\circ

side AB = d ft and side BD = x+75 ft

Using trigonometric identity of tangent:

tan\theta = \dfrac{Perpendicular}{Base}

tan 30 = \dfrac{d}{x+75}\\\text{Using equation (1)}:\\0.577 = \dfrac{d}{0.36d+75}\\\Rightarrow 0.207d + 43.27 = d\\\Rightarrow 0.793d = 43.27\\\Rightarrow d \approx 54.82\ ft

Correct answer is 54.82 ft.

7 0
4 years ago
Factor the polynomial 6x^5-18x^3+54x^2, Please show work.
Dmitry [639]
Factor 6x^5−18x^3+54x^2
6x^5−18x^3+54x^2
=6x^2(x^3−3x+9)

Answer:
6x^2(x^3−3x+9)
4 0
3 years ago
Read 2 more answers
Which equation shows the point slope form of the line that passes through (3,2) and has a slope of 1/3
olasank [31]

Answer:

y=-1/3x+4/3

Step-by-step explanation:

y-y1=m(x-x1)    m=1/3 x1=3 y1=2

y-2=1/3(x-2)

y-2=-1/3x-2/3

y=-1/3x+4/3

7 0
3 years ago
What is the area of a square computer screen with 21 inch sides?
notka56 [123]
Side of the square computer screen = 21 inches
It is important to minutely read the details that are already given in the question. the most important information that is given in the question is that the computer screen ia square. Based on this information the answer to the question can be easily deduced.
Then
Area of the computer screen = (Side)^2
                                               = (21)^2 inches square
                                               = 441 inches^2
So the area of the square computer screen is 441 square inches. i hope the procedure is clear enough for you to understand.

6 0
4 years ago
Sherry earns an hourly wage plus a bonus for each day’s work. She uses the equation 10.5h + 50 to represent the total amount she
noname [10]

the answer is c..................

7 0
3 years ago
Read 2 more answers
Other questions:
  • The growth of bacteria is modeled as P = P0ert. In a sample culture, the bacteria grows at a rate of 6 percent per minute. If th
    6·1 answer
  • Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.
    7·1 answer
  • How many rectangular faces does a triangular prism have
    8·1 answer
  • Simplify 2.8d-6+3.8-3.1d
    5·1 answer
  • Test the claim that the proportion of people who own cats is larger than 70% at the 0.10 significance level.
    5·1 answer
  • Identify the polynomial.
    15·2 answers
  • Find the area. The figure is not drawn to scale.
    15·1 answer
  • Tell whether the transformation appears to be a rigid motion. explain
    6·1 answer
  • Three uniform shirts sell for $34.50. How much will 5 uniform shirts cost?
    7·2 answers
  • graph the equation y = -x^2 + 10x - 16 on the accompanying sex of axes. you must plot 5 points including the roots and the verte
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!