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
Zanzabum
3 years ago
11

Mateo is constructing an equilateral triangle inscribed in a circle with center P. He draws the diameter of the circle through c

enter P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle. What is his next step?
Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0
Reading the question carefully, "<span>He draws the diameter of the circle through center P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle." - that implies that Mateo is still in the process of drawing the circle by which the equilateral is inscribed to.

The next steps should be:
*He should draw the upper and lower arcs using the compass opened to a width equivalent to the radius of the sircle.
*Make a vertical diameter using centroid P as basis.
*Draw two right triangles facing the opposite directions using the top most point by which the vertical diameter of the circle touches the top most circumference of the circle.

Doing these steps, Mateo will be able to draw an equilateral triangle inscribed in a circle.
 </span>
You might be interested in
Maria throws a softball straight up into the air with an initial velocity of 50 ft/sec. The ball leaves her hand when it is exac
Nataly_w [17]

Answer:

The equation that models the situation is s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}.

Step-by-step explanation:

Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:

v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o}) (1)

Where:

s_{o}, s_{f} - Initial and final position of the softball, measured in feet.

a - Acceleration, measured in meters per square second.

v_{o}, v_{f} - Initial and final velocities of the softball, measured in feet per second.

If we know that v_{o} = 50\,\frac{ft}{s}, a = -32.174\,\frac{m}{s^{2}} and s_{o} = 4\,ft, then the equation that models the situation is:

v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)

Then, we clear the final position of the softball:

-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4

s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}

The equation that models the situation is s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}.

8 0
2 years ago
Plot the x- and y-intercepts to graph the equation. <br> y = 1/3x − 1
Trava [24]
If you have questions, feel free to ask

8 0
3 years ago
Read 2 more answers
Witch division problem does the number line below best illustrated
krok68 [10]
10 divided by 2 =5 because it ends at 10 and goes back by 2 and there are 5 loops
6 0
3 years ago
What is the area of a triangle with vertices (3,0) (9,0) (7,6)
Nezavi [6.7K]

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

5 0
2 years ago
y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. What is the value of y when x = 5 m and z = 12 m
Fantom [35]
We are given y = kxz
We also know 32 = k×6×8, so k = 32/48 = 2/3.
We are then asked to solve:

y =  \frac{2}{3}  \times 5 \times 12 = 40
3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me ASAP! thank you I’m just really confused:)
    12·2 answers
  • Which choices are equivalent to the expression below multiple choices
    14·2 answers
  • Joshua is planning on 1404 miles driving trip his car gets an average of 36 miles per gallon the cost of gas is about $3.72 per
    9·1 answer
  • For a field trip 7 students rode in cars and the rest filled four buses.
    12·1 answer
  • A recent study was conducted to determine the concentration of lead in drinking water across various states. 25 water samples fr
    8·1 answer
  • there are 6 black counters and 4 white counters in bag A, 7 black counters and 3 white counters in bag B, 5 black counters and 5
    15·1 answer
  • Why would i use a straightedge to measure the length of a segment?
    7·1 answer
  • Solve the formula for the specified variable.
    12·1 answer
  • Which number is irrational
    13·1 answer
  • Mikaila collected 27 pounds of glass bottles to bring to the recycling center. she also collected 400 ounces of newspapers and 1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!