Answer:
30° or π/6 rad
Step-by-step explanation:
Imagine or draw a right triangle with horizontal side (√3)/2 and vertical side 1/2. Verify that the hypotenuse of this triangle is 1 (which it must be, since the circle is a unit circle): [(√3)/2)^2 + (1/2)^2 = r^2, which leads to r = 1.
The tangent function tan x = opp/adj takes on the following values here:
tan x = 1/2 over √(3/2)/2, or 1/√3. Using a calculator or a table of trig function values, we find that the angle x is π/6 radians, or 30°
Answer:
B. π/6 radians
Step-by-step explanation:
what is 2+2? tell me please
PLSSSSSS HELP
Select the expression that represents the following statement: add 3 and 22, and then divide by 5.
A 3 + 22 ÷ 5
B 25 ÷ 5 + 3
C 22 x 3 ÷ 5
D (3 + 22) ÷ 5
Answer:
The answer is D. (3+22)÷5
Answer:
D. (3 + 22) / 5.
Step-by-step explanation:
Triangle A'B'C' is the image of triangle ABC under a rotation about point P
a. -165
b. -125
c. 125
d. 165
9514 1404 393
Answer:
a. -165°
Step-by-step explanation:
The line from A through P to A' is almost straight, so an angle near 180° is indicated. In the figure, A' is to the left of the line AP, so clockwise rotation is indicated.
The rotation angle is a negative angle near 180°. The best choice is ...
a. -165°
Answer: A 165
Step-by-step explanation:
trust
-15 + n = -9
step by step pls
Answer:
N = 6
Step-by-step explanation:
1:Since the answer is 9,you can do it like this:Take away the 5 from the 15,which equals 10. Then,subtract 1 so you can get 9. Therefore,the answer is 6.
2:To check your answer,do 15 minus 9.
PLEASE HELP, WILL MARK BRAINIEST
Answer:
your answer will be 9 cm
Step-by-step explanation:
I hope this helps u, have a great day !!!
PLEASE HELP WITH #4 and #5 (Gina Wilson) Rectangles All Things Algebra
Help quick Please it’s due in 10 minutes
Answer:
your answer will be [tex]\frac{1}{36}[/tex]
Step-by-step explanation:
I hope this helps u have a nice day ^_^
If 5b = 6a + 16 and 9a = 7b - 20, then what are the values of a and b?
9514 1404 393
Answer:
(a, b) = (4, 8)
Step-by-step explanation:
Writing both equations in general form, we have ...
6a -5b +16 = 0
9a -7b +20 = 0
__
We can make a little array of the numbers in the equations:
[tex]\left[\begin{array}{cccc}6&-5&16&6\\9&-7&20&9\end{array}\right][/tex]
Note that the first column is repeated at the end.
Now, we can "cross multiply" and form the differences of products in adjacent columns:
d1 = (6)(-7) -(9)(-5) = 3 . . . . . . left 2 columns
d2 = (-5)(20) -(-7)(16) = 12 . . . . . middle 2 columns
d3 = (16)(9) -(20)(6) = 24 . . . . . right 2 columns
Then the solutions to these equations are the solutions to ...
1/d1 = a/d2 = b/d3
a = d2/d1 = 12/3 = 4
b = d3/d1 = 24/3 = 8
The values of a and b are 4 and 8, respectively.
_____
Additional Comment
There are a number of ways to solve linear equations. This is similar to what you would get by doing "elimination". It is also similar to Cramer's Rule and Vedic math techniques. The number of math operations is about the same*. Once you learn the technique, it is fairly fast and requires no decision-making. My other favorite method is using a graphing calculator.
__
* This method uses 6 multiplications, 3 subtractions, 2 divisions. In the general case of "elimination", where the coefficients are not "nice" (as here), you would perform 7 multiplications, 4 subtractions and 2 divisions. This method is less work when the coefficients don't cancel easily.
can someone help please
Consider the triangle below. One of the side lengths is unknown.
Find the length of the unknown side in this triangle, rounding your answer to two decimal places (if necessary).
The other side would be 15 meters.
Answer:
b = 13.27
Step-by-step explanation:
b^2 + 7^2 = 15^2
b^2 + 49 = 225
b^2 = 176
b = sqrt(176)
b = sqrt(16 * 11)
b = 4sqrt(11)
b = 13.27
2. Adam borrows $6,000 from his parents today for university fees and he promises
to pay a lump sum of $6,900 in 3 years' time. Calculate the following quantities
for the repayment arrangement:
(a) the effective annual interest rate.
(b) the equivalent simple annual interest rate.
Answer:
A) 4.77%.
B) 5%.
Step-by-step explanation:
Given that Adam borrows $ 6,000 from his parents today for university fees and he promises to pay a lump sum of $ 6,900 in 3 years' time, to calculate the effective annual interest rate and the equivalent simple annual interest rate the following calculations must be performed:
A)
6,900 = 6,000 x (1 + X / 1) ^ 3x1
6,900 = 6,000 x 1X ^ 3
6,900 = 6,000 x 1 x 4.77 ^ 3
Thus, the interest rate of said investment is 4.77% per year.
B)
(6,900 - 6,000) / 3 = 300
6,000 = 100
300 = X
300 x 100 / 6,000 = X
30000 / 6,000 = X
5 = X
Thus, the simple interest rate would be 5% per year.
A earned wages of $34400, received $2300 in interest from a savings account, and contributed $2900 to a tax-deferred retirement plan. was entitled to a personal exemption of $3800 and had deductions totaling $6090. Find gross income, adjusted gross income, and taxable income.
Answer:
53,320 gross income
50,120 adjusted gross income
39,370 taxable income
Step-by-step explanation:
can a three set problem has negative intersection?
Answer:
yes
Step-by-step explanation:
yes but not a postitive one
Answer:
i think so yeah
Step-by-step explanation:
Convert the following angle from degrees to radians. Express your answer in simplest form. 435^
Answer:
29π/12.
Step-by-step explanation:
Multiply by π/180
= 435π/180
= 29π/12 radians.
12 divided by 0.03 please show how im suppost to do it this was due at 8:00 am
Answer:
400
Step-by-step explanation:
12 / 0.03
Divide 12 by 3 = 4.
Move the decimal place over 2 to the right.
400.
which of these numbers is irrational?
a number has exactly 8 factors. Two of the factors are 10 and 14. What is the number and what are all the factors
Answer:
2,5 and 2,7 I believe
Step-by-step explanation:
It should be 2,5 and 2,7
5th grade math. correct answer will be marked brainliest.
Answer:
3 red and 1 green , 0 blue, 0 yellow, 0 purple
2 x 2 x 2 x 3
the actual length of a Corvette is 15 feet. Using the scale factor 1:3, determine the length of the model Corvette in inches
What is five times less than the toyal cost of 69 dollars.
does a debit card use a pin or a credit card, or do both?
Use the Distributive Property to expand the expression.
0.4(50m - 20n)
The simplified expression is
Answer:
20m-8n
Step-by-step explanation:
0.4*50m=20m
20+_
0.4*-20n=-8n
20m+-8n
20m-8n
I need help getting the answer!
Answer:
The two are NOT THE SAME function.
Step-by-step explanation:
The linear function that is expressed as the equation y = -x + 3, is given in the slope-intercept form, y = mx + b, where
m = slope = -1
b = y-intercept = 3
To know if this function is the same with function expressed in the table of values, let's find the slope (m) and y-intercept (b) of the function represented as a table.
✔️Slope = change in y / change in x = ∆y/∆x
Using two pairs of values form the table, say, (-4, 1) and (-2, -1):
Slope (m) = (-1 - 1) / (-2 - (-4)) = -2/2 = -1
slope (m) = -1
To find b, substitute (x, y) = (-4, 1) and m = -1 into y = mx + b,
Thus:
1 = (-1)(-4) + b
1 = 4 + b
1 - 4 = b
-3 = b
b = -3
Write the equation for the table of values by substituting b = -3 and m = -1 into y = mx + b
Thus:
y = (-1)x + (-3)
y = -x - 3
As you can see, the equation of the function of the table of values is different from the equation of the function that was stated earlier.
Therefore, we can conclude that the two functions are not the same function expressed in different ways.
¿Cuántos de éstos?
47
Consignia
En equipos, resuel
ARACELY EGUIA
CAZARES
En equipos, utilicen como modelo la caja que les asigns
n. 9
fesor para realizar las siguientes actividades.
ROSARA: MARIA DEL
Con 24 cajas de p
grande, tal como
SARIO CRUZ
1. Determinen cuántas cajas o botes se necesitan para OCU
80
quiera la misma
diferente. ¿Tend
mismo espacio que la caja modelo.
TikToll
Cajas de gelatina:
4000
Cajas de cerillos:
48
Botes de leche:
2. Comprueben sus respuestas y registren sus resultados.
La diferencia de cajas o
botes respecto a nuestro
Objeto
Para ocupar el espacio
de la caja modelo se
necesitan...
cálculo anterior es.
4.
Cajas de gelatina
Cajas de cerillos
24.
21
3
39
1
Botes de leche
3. Describan sus procedimientos para determinar el número tota
de cajas o botes que necesitaron para construir la caja modern
98 | Desafios matematicos
Answer:
DAM BGJF
Step-by-step explanation:
Your salary is 2500 and you will be receiving a 2.5% pay increase this year. What will your new salary be?
Answer:
2562.50
Step-by-step explanation:
2.5=0.025
0.025*2500=62.50
2500+62.50=2562.50
Which distance is greater: from Roller Coaster 1 to Roller Coaster 3 or from the Water Slide to Roller Coaster 2? Justify your answer using the coordinate for each ride.
Answer:
distance from the Water Slide to Roller Coaster 2
Step-by-step explanation:
✔️Distance from Roller Coaster 1 (-6, 7) to Roller Coaster 3 (-6, -3):
Distance = |7 - (-3)| = |7 + 3| = 10 units
✔️Distance from the Water slide (8, -8) to Roller Coaster 2 (-6, -8):
Distance = |8 - (-6)| = |8 + 6| = 14 units
✔️The distance from the Water Slide to Roller Coaster 2 (14 units) is greater than the distance from Roller Coaster 1 to Roller Coaster 3 (10 units)
Make 8 10 times as much
What is the median of the data set below? 57, 21, 11, 35, 43, 19
Answer:
28
Step-by-step explanation:
Arranged it in order and got 28 :)
Help me please please please
Answer:
c
Step-by-step explanation:
=1\2×l×b×h
=1\2×3×6×5
=1\2×90
=45
hope i was able to help.
A crate is shaped like a rectangular prism. The crate is 1.2 feet wide, 3 feet long and 4.5 feet tall. What is the volume of the crate in cubic feet?
What value of x is in the solution set of 4x - 12 < or equal to 16 + 8x?
-10
-9
-8
-7