The measure of the reference angle for a -287° angle is 17°.
To measure of the reference angle for a -287° angle
1. Determine the quadrant: First, we need to identify the quadrant in which the angle -287° lies.
- In the standard coordinate plane, angles between 0° and 90° are in the first quadrant, between 90° and 180° are in the second quadrant, between 180° and 270° are in the third quadrant, and between 270° and 360° are in the fourth quadrant.
- Since -287° falls in the third quadrant, we know that the reference angle will be found in the first quadrant.
2. Find the corresponding acute angle: To find the reference angle, we need to find the acute angle that has the same trigonometric values as the given angle.
- To do this, we can add 360° to the given angle (-287° + 360° = 73°). This gives us an equivalent positive angle in the same position.
3. Determine the reference angle: Now that we have the positive equivalent angle (73°), we can find the reference angle by subtracting it from 90° (90° - 73° = 17°).
Therefore, the measure of the reference angle for a -287° angle is 17°.
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Joel is mailing a large envelope to his cousin. The envelope has pictures inside, so he doesn't want to bend it. What is the maximum width for the mail slot???
Answer:
the maximum width of the mail slot is 25 cm.
u. can find it through phythagoras theorem
Answer:
25
Step-by-step explanation:
Use the pythagorean theorem. Here's how: Since a^2+b^2=c^2, 7^2+24^2=576+49= the square root of 625 which is 25.
Sides or angles with the same measure are congruent. True or false
Answer:
True
Step-by-step explanation:
Which is the best simplification of (2^4 x 3*2)/(2 x 3)?
Answer:
16
Step-by-step explanation:
Which of the following is a factor of 21? 0 5 7
What is the ordered pair for point A & F
A: A = (1, 6) & F= (5,1)
B: A= ( 6, 1) & F = (0,5)
C: A = ( 1, 6) & F = (5, 0)
D: A = (1,6) & F = ( 1,5)
Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.
Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5
Answer: B. One fourth times the product of 8 and 3, then divide by 5.
Find the perimeter. Simplify your answer.
Answer:
5c^2+2cd-2d^2-15
Step-by-step explanation:
Hello, to find the perimeter of any shape, you just add all the side together. In this picture, you would add all the sides up like this:
4c^2+4cd+12+-5d^2-5cd+2+c^2-d^2+1+3cd+4d^2-30
Then, combine like terms (add all of the numbers with the certain variable together) and you would get the answer which is:
5c^2+2cd-2d^2-15
A 4 pound force acting in the direction of (4,-2) moves an object just over 7 ft from point (0,4) to point (5,-1). Find the work done to move the object to the nearest foot-pound
Answer:
[tex]W=59.7408J[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]f=4N[/tex]
Force Direction [tex]\arrow (4,-2)[/tex]
Distance traveled [tex]d_t=7ft \aprrox\ 2.1336m[/tex]
Distance traveled Direction point (0,4) to point (5,-1)
Generally the equation for work done is mathematically given by
[tex]W=force*distance[/tex]
[tex]W=f*d_t\\W=4*7*2.1336[/tex]
[tex]W=59.7408J[/tex]
Please help. ❗❗❗❗❗
osmqbshxissjwvgxkoqjwvwnmddk
Answer:
C
Step-by-step explanation:
This makes the most sense.
4x > 20 Is x=12 a solution?
yes or no
no
Hope this helps
:T
:B
:D
From what we have, x can equal 12
4x > 20
20/4 = 5
x > 5
12 > 5
3/4•3/4 in fraction from?
Answer:
9/16
Step-by-step explanation:
Multiply across -
3*3 = 9
4*4 = 16
9/16
What is the equation of a circle with center (−3, 0) and radius 20?
Answer:
(x + 3)^2 + y^2 = 20^2
Step-by-step explanation:
If the center is (-3, 0), then the standard equation of a circle, (x - h)^2 + (y - k)^2 = r^2 becomes (x + 3)^2 + (y - 0)^2 = 20^2, or
(x + 3)^2 + y^2 = 20^2
A rectangular painting is 2 feet long and 56 foot wide. Which is the area of the painting?
A. 1 2/3
B. 2 5/6
C. 3 1/3
D. 5 2/3
Answer:
I'm pretty positive it should actually be 112.
Step-by-step explanation:
You find the area of a rectangle by multiplying length times width. I don't know how else to explain that all of the answers are incorrect.
Simplify the following expression by combining like terms: *
-2g - 8 +5g - 5
Answer:
3g -13
Step-by-step explanation:
I need an answer! NO LINKS PLS! il give brainlist
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAIN THING IF ITS CORRECT AND IT SAYS WRITE YOUR REASON AS A DECIMAL SO PWEASE DO THAT
Answer:
0.244
Step-by-step explanation:
1.22÷5
Expand 1.22/5 by multiplying both numerator and the denominator by 100.
122/500
Reduce the fraction 122/500 to lowest terms by extracting and canceling out 2.
61/250
Convert to decimal form.
0.244
Simply the following expression: 8x + 5y - 4z + 9y - 3x + 13z
Answer:
5x+14y+9z
Step-by-step explanation:
combine 8x and -3x to get 5x
combine 5y and 9y to get 13y
combine -4z and 13z to get 9z
please answer the math question, I will give brainlie'st to the first to answer correctly and has a very easy to understand layout for the answer. Please explain how you figured it out.
15 + 4(10 - 2 · 5) + 7 =
7
22
182
767
Answer: 52
15 + 4 (10 - 2 × 5) + 7
15 + 4×(10 - 10) + 7
15 + 0 + 7
= 22
...sorry i thought it was a decimal between 2 and 5
Answer:
22
Step-by-step explanation:
15+4(10-2×5)+7
15+4(10-10)+7
15+4×0+7
15+0+7
15+7
22
Find the percent of the number. 25% of 50 is
Answer:
12.5
Step-by-step explanation:
Which graph represents the function f(x) = 4|x|?
Which graph represents the function f(x) = 4|x|?
It looks like a "V" going straight up from 0, and hits both 4 and -4 y while going up perfectly
The graph opens upward, and it has a vertex of (0,0)
What is vertex?The vertex of an equation is the minimum or the maximum point on the graph of the equation
The equation of the graph is given as:
[tex]f(x) = 4|x|[/tex]
The above equation represents an absolute value function
An absolute value function is represented as:
[tex]f(x) = a|x -h| + k[/tex]
So, by comparison, we have:
[tex]a = 4[/tex]
[tex]h = 0[/tex]
[tex]k = 0[/tex]
This means that the graph opens upward, and it has a vertex of (0,0)
See attachment for the graph of [tex]f(x) = 4|x|[/tex]
Read more about absolute value functions at:
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Find the mean of the following data set
41,7, 39, 11, 23, 31, 27, 7, 12
0 29
0 198
0 99
022
Answer:
22
Step-by-step explanation:
Add al the digits (198) then divide by how many digits there are (9)
198÷9=22
Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute
Answer:
80 ft
Step-by-step explanation:
Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.
If the Kahn family brings in $5,000 each month and their housing is 32% of their monthly budget.
How much is their housing/mortgage?
Answer:
Their Hosing/Mortgage is $1,600
Step-by-step explanation:
5,000 / 100 = 50
50 x 32 = 1600
Arc CD is [tex]\frac{2}{3}[/tex] of the circumference of a circle. What is the radian measure of the central angle?
a.) [tex]\frac{2\pi}{3}[/tex]
b.) [tex]\frac{3\pi}{4[/tex]
c.) [tex]\frac{4\pi }{3}[/tex]
d.) [tex]\frac{3\pi}{2}[/tex]
Answer:
b
Step-by-step explanation:
pls help quickly thank u
Answer:
Dependant
Step-by-step explanation:
Its dependant because when you take out one chocolate another may fall and take its place.
What is the absolute value equation below:
|x|=7∣
THE ANSWER IS 7 because i did the math
Please help ASAP thanks:)!!!!!
Answer:
I think its
Step-by-step explanation:
left second one
Solve x + 20 = 24.
The solution is x =
Answer:
4
Step-by-step explanation:
24 - 20 = 4
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Answer:
i believe it b 75% sure i sorry if i can't help
Step-by-step explanation:
What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4
Answer:
aₙ = 3n - 11Step-by-step explanation:
The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]
d = -5 - (-8) = - 5 + 8 = 3
a₁ = -8
Therefore:
[tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]
