answer.
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
seropon [69]
2 years ago
15

Which of the following represents the measures of all angles coterminal with a 418° angle?

Mathematics
2 answers:
Anit [1.1K]2 years ago
8 0
The correct answer is B
zhannawk [14.2K]2 years ago
5 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given angle is

418^{\circ}

If we have an angle θ, where θ lies between 0 to 360°, then the co-terminal angles are defined as

\theta+360n

Where, n is any integer.

418^{\circ}=58^{\circ}+360^{\circ}

So, 58° is a  co-terminal angle of 418°. All the co-terminal angle of 418° are

58+360n

Where n is an integer.

Therefore option 2 is correct.

You might be interested in
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
lutik1710 [3]
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5

Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
4 0
2 years ago
Read 2 more answers
Describe the transformation f(x) = √x + 1 − 5 in words. The parent function f(x) = √x has been shifted 1 unit and 5 units.
KATRIN_1 [288]

Answer:

The translation is 1 unit to the left and 5 units down

Step-by-step explanation:

we have

g(x)=\sqrt{x+1}-5

f(x)=\sqrt{x} -----> parent function

we know that

The transformation

f(x)-----> g(x) has the following rule

(x,y)-------> (x-1,y-5)

That means

The translation is 1 unit to the left and 5 units down

see the attached figure to better understand the problem

6 0
2 years ago
Read 2 more answers
How<br> How many solutions does the nonlinear system of equations graphed below<br> have?
ANTONII [103]
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
4 0
2 years ago
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
2 years ago
Read 2 more answers
The line 3y+x=25 is a normal to the curve y=x2-5x+k.find the value of constant k.
ladessa [460]

Answer:

k = 11.

Step-by-step explanation:

y = x^2 - 5x + k

dy/dx = 2x - 5 = the slope of the tangent to the curve

The slope of the normal = -1/(2x - 5)

The line  3y + x =25 is normal to the curve so finding its slope:

3y = 25 - x

y = -1/3 x + 25/3 <------- Slope is -1/3

So at the point of intersection with the curve, if the line is normal to the curve:

-1/3 = -1 / (2x - 5)

2x - 5 = 3  giving x = 4.

Substituting for x in y = x^2 - 5x + k:

When x = 4, y =  (4)^2 - 5*4 + k  

y = 16 - 20 + k

so y = k - 4.

From the equation y = -1/3 x + 25/3,  at x = 4

y = (-1/3)*4 + 25/3 = 21/3 = 7.

So y = k - 4 = 7

k = 7 + 4 = 11.

6 0
2 years ago
Other questions:
  • Peyton is three years younger than Justin. Matt is four times as old as Peyton. If you add together the ages of Justin, Peyton a
    6·2 answers
  • Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 t
    12·2 answers
  • The area on a wall covered by a rectangular poster is 294 square inches. The length of the poster is 1.5 times longer than the w
    7·2 answers
  • Fabio and carlos play on a basketball team together. in the last game, fabio had 777 points less than 222 times as many points a
    11·2 answers
  • Mei and Anju are sitting next to each other on different horses on a carousel. Mei's horse is 3 meters from the center of the
    12·2 answers
  • What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot?
    5·2 answers
  • The table shows the cost of a taxicab ride for several driving distances.
    8·1 answer
  • For your college interview, you must wear a tie. You own 3 regular (boring) ties and 5 (cool) bow ties. 36 1. Counting (a) How m
    8·1 answer
  • 62% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
    9·1 answer
  • harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!