Answer:
a. Sin θ = y/r
b. csc θ = r/y
c. cos θ = x/r
d. sec θ = r/x
e. tan θ = y/x
f. cot θ = x/y
g. x² + y² = 1
Step-by-step explanation:
Where (x, y) are the x and y coordinates of the position with radius r and angle θ measured from the positive x axis. y is the opposite side to the angle θ and x is the adjacent side to the angle θ and r is the hypotenuse side of the right-angled triangle formed by x, y and r. Also, x² + y² = r²
a. Sin θ = opposite/hypotenuse = y/r
b. csc θ = hyotenuse/opposite = 1/Sin θ = r/y
c. cos θ = adjacent/hypotenuse = x/r
d. sec θ = hypotenuse/adjacent = 1/cos θ = r/x
e. tan θ = opposite/adjacent = y/x
f. cot θ = adjacent/opposite = 1/tan θ = x/y
g. Equation of the Circle: _ the unit circle (r = 1),
Since x² + y² = r² ,for a unit circle, r = 1. So,
x² + y² = 1²
x² + y² = 1
B
5
E
If G is the midpoint of AB, classify each triangle by its
ANGLES and SIDES.
A. ACFE
B. ABEC
C. ABFG
D. AGAF
Answer:
ΔCFE is a right triangle
ΔBEC is an acute triangle
ΔBFG is an equilateral triangle
ΔGAF is an obtuse isosceles triangle
b. If C(a) is the cost in dollars to plant a acres of soybeans, what does C-1(35,000) represent?
9514 1404 393
Answer:
the number of acres planted for a cost of $35,000
Step-by-step explanation:
If the function C gives the dollar cost of planting a certain acreage, then the inverse function C^-1 gives the acreage planted for a given dollar cost.
C^-1(35000) gives the acreage planted for a cost of $35,000
Express the function graphed on the axes below as a piecewise function.
Answer:
Step-by-step explanation:
3x+ 1/3 for x<= -1
6x-27 for x >4
5. For which linear function below does f(-1) = 9 and f(3) = 1?
Find the measure of angle c! Please answer asapppp
Answer:
75
Step-by-step explanation:
the angles inside of a triangle all add up to 180°, so just had the angles given to you and subtract it from 180° and what you get should be your answers.
At a really nice
restaurant, Seiji
wanted to leave a
20% tip for the
outstanding waiter.
The bill was $75.64.
SHOW WORK!!!
Answer:
tip = $15.128
Step-by-step explanation:
tip = 75.64 × 20/100
tip = 1512.8/100
tip = $15.128
Determine the mean, median, and mode for the following data sets. Identify any
possible outliers.
10) Count of blueberries in each bulk size container: { 238, 173, 180, 193, 190, 164,
159, 210}
What is the equation for the line that has a slope of -2 and a y-intercept of (0,9)?
Answer:
y=-2x+9
Step-by-step explanation:
A ladder leans against the side of a house. The angle of elevation of the ladder is 62 degrees and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Answer:
7.4 feets
Step-by-step explanation:
Distance from bottom of ladder to side of the house = d
θ = 62 ; height, h = 14
Using trigonometry :
Tan θ = opposite / Adjacent
Opposite = height ; adjacent = d
Tan 62° = 14 / d
1.8807264 * h = 14
d = 14 / 1.8807264
d = 7.44
2.) Gene's frying pan Is 14.5 inches in diameter. What is the circumference of his frying pan? (round to the nearest tenth place)
In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?
Answer:
what year is this work
Step-by-step explanation:
I don't know sorry. what to help.
Answer:
Therefore the value of tangent of ∠m is .9°.
En el cumpleaños de Andrea, David comió de la torta 2 5 , Sofí 3 7 , y Julián 1 4 , ¿Qué fracción de torta comieron entre los tres?
Answer:
Step-by-step explanation:
2/5 + 3/7 + 1/4 = 28/140 + 60/140 + 35/140 = 123/140
Find an expression to represent the area
of the trapezoid below.
Vijay has a tub of 500 plastic jungle animals.
Suppose he chooses an animal without looking.
There is a 10% chance he will pick a giraffe.
How many giraffes are in the tub?
Answer:
50 giraffes are in the tub
Step-by-step explanation:
0.10x500=50
hope this helps, have a good day
Reena saves AED 400 from her salary. If this is 10% of her salary. What is her salary?
a) AED 4000 b) AED 6000 c) AED 3000 d) AED 40,000
what’s the domain and range of this graph?
Answer:domain: (−∞,∞)
range: [−9,∞)
Step-by-step explanation:
DUE SOON!
Solve for X.
Answer:
mark me as a brainlist then I will answer
x = -0.25 and y = -6
Solve the expression: x + 2y
Answer:
-12.25
Step-by-step explanation:
To solve the expression, plug in -0.25 as x and plug in -6 as y
x + 2y
-0.25 + 2(-6)
-0.25 - 12
= -12.25
So, the solution is -12.25
Find the missing length of the triangle. If necessary, round your answer to the nearest tenth
Answer:
30
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the missing side
a^2 +b^2 = c^2 where a and b are the sides and c is the hypotenuse
x^2 + 40^2 = 50^2
x^2 +1600 = 2500
x^2 = 2500-1600
x^2 = 900
Take the square root of each side
sqrt(x^2) = sqrt(900)
x = 30
Answer:
x = 30
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 50^{2} - 40^{2}[/tex]
[tex]a^{2} = 2500 - 1600[/tex]
[tex]a^{2} = 900[/tex]
[tex]\sqrt{a^{2}} = \sqrt{900}[/tex]
a = 30
20 POINTS !
Please help because when I say I’m confused
Answer:
1. B
2. A
3. C
Step-by-step explanation:
A trapezoid , having a height of 14 cm , has an area
of 224 cm² . The big base measures 2 cm more than the
small base. What are the lengths of the two bases ?
it should be solved as a system
Answer:
17 cm and 15 cm.
Step-by-step explanation:
Area of a trapezoid = h/2(a + b) where h = height and a and b are the 2 bases.
so we have:
(14/2)(a + b) = 224 Distributing:
7a + 7b = 224 Dividing thru by 7:
a + b = 32
Also we have
a - b = 2 where a = longest base.
Adding the last 2 equations:
2a = 34
a = 17
So b = 17 - 2 = 15.
Help answer brainliesttttttttt
2:15
Amount of problems:How much time.
2·5:15·5
=10:75
So 10 problems in 75 minuets.
HOPE THIS HELPED A LOT!!!!!
Can I have brainiest now???
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
identify the common difference (d) /6,1,8,15
what is 2 pule 16 dived by 16 mulipled by 16
hey besties please help me :D
Answer:
a. 4
b. 3
Step-by-step explanation:
The triangles are congruent so each side is the same.
The side DF is equal to AC which is equal to 4.
The side EF is equal to BC which is equal to 3.
Hope this helps :)
who will give the correct answer I will give the brainiest answer
Answer:
7/24
Step-by-step explanation:
I converted all of the denominators to a common one: 24
15/24 + 6/24 - 14/24 is the new equation
21/24 - 14/24= 7/24
hope this helps chu
[tex] \sf Q) \: \frac{5}{8} + \frac{1}{4} - \frac{7}{12} = {?}[/tex]
[tex] \sf \to \frac{5}{8} + \frac{1}{4} - \frac{7}{12}[/tex]
[tex] \sf \to \frac{(15 +6-14)}{24} = \frac{7}{24} [/tex]
[tex]\sf Hence, \: \frac{7}{24} \: is \: the \: answer.[/tex]
how do I get the answer to 5/3(-6)
Simplify Using Laws of Exponent (4x^-2)^3
Answer:
64*x^-6
Step-by-step explanation:
Simplify Using Laws of Exponent (4x^-2)^3
Given data
(4x^-2)^3
Let us open the bracket
=4^3*x^-2*3
=64*x^-6
=64x^-6
Hence the equivalent is
64*x^-6
our points are labeled on the number line. pls help
pls
P, Q, R, S, negative 2, negative 1, zero, 1, 2
Which point represents the value of the absolute value of negative 1 over 2.?
Answer:
the answer is point R trust me on this
