tan 0 = -2, 0
lies in the Il quadrant
Find the five remaining trigonometric function values
Answer:
Sin O = [tex]\frac{2\sqrt{5} }{5}[/tex]
Cos O = [tex]-\frac{\sqrt{5} }{5}[/tex]
Cot O = [tex]-\frac{1}{2}[/tex]
Csc O = [tex]\frac{\sqrt{5} }{2}[/tex]
Sec O = [tex]-\sqrt{5}[/tex]
Step-by-step explanation:
Do you know the definitions of all the trig functions? If not, you need to memorize them. Also, you need to memorize which functions are positive in each quadrant. All functions are positive in quad I, sine and reciprocal are positive in quad II, tan and reciprocal are positive in quad III, and cos and reciprocal are positive in quad IV. OK?
Tan of an angle is opposite side/adjacent side of a right triangle
If the tan O = - 2. let the opp. side = 2 and adjacent side = 1. Then the hypotenuse = [tex]\sqrt{2^{2} + 1^{2} } = \sqrt{4 + 1} = \sqrt{5}[/tex]
Sine is positve and equals opp/hyp = [tex]\frac{2}{\sqrt{5} } = \frac{2\sqrt{5} }{5}[/tex]
Cos is negative and equals adj/hyp = [tex]-\frac{1}{\sqrt{5} } = -\frac{\sqrt{5} }{5}[/tex]
Cot is negative and is the reciprocal of the tan or adj/opp = [tex]\frac{-1}{2}[/tex]
Csc is positive and is the reciprocal of the sine or hyp/opp = [tex]\frac{\sqrt{5} }{2}[/tex]
Sec is negative and is the reciprocal of the cos or hyp/adj = [tex]-\sqrt{5}[/tex]
Which one of the following equations represents a circle with its center of origin?
A) x^2 + y^2 = 5
B) x^2 + y = 25
C) x + y = 5
D) x/2 + y/2 = 25
Answer:
A) x² + y² = 5Step-by-step explanation:
The equation of the circle:
(x - h)² + (y - k)² = r²The center is (h, k)
Wen the center is the origin we have, h = 0, k = 0:
x² + y² = r²The only equation in same format is the first one
11 = 7 – 5x
Please help!
Answer:
the answer is x=-4/5
Step-by-step explanation:
hoped I helped:)
Answer:
-4/5
Step-by-step explanation:
11=7+-5x
11=-5x+7
-5x+7=11
-5x+7-7=11-7
-5x=4
-5x/-5=4/-5
solve using the Pythagorean theorem.
need urgent help
Answer:
y = 7
Step-by-step explanation:
Mathematically, according to the Pythagoras’ theorem;
The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides
The hypotenuse is the side that faces the right angle and it is represented by the square root of 85 here
Thus, we have it that;
(√85 )^2= 6^2 + y^2
85 = 36 + y^2
y^2 = 85-36
y^2 = 49
y = √49
y = 7
I need 7/5 renamed to a fraction
Answer:
Step-by-step explanation:
the simpliest form is [tex]1\frac{2}{5}[/tex]
It already is a fraction. If you need it simplified, it would be 1 2/5.
---
hope it helps
find the discriminant of x²+6x+9=0
Answer:
x²+6x+9=0
x²+3x+3x+9=0
x(x+3)+3(x+3)=0
(x+3)(x+3)=0
either
x+3=0
x=-3
or
x+3=0
x=-3
Step-by-step explanation:
next method
x²+6x+9=0
x²+2×x×3+3²=0
it is in formula of (x+y)²
(x+3)²=0
x+3=√0
x+3=0
x=-3
Cherlyn moves houses her old house is 3 kilometers from her new house how many meters is it from the old house to the new house?
Answer:
3,000 meters
Step-by-step explanation:
1 Kilometer = 1,000 meters
1,000 meters x 3 Kilometers = 3,000 meters
Hopefully this helps :3 Sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
29. The circumference of a circle is C centimeters. The diameter of the circle is 13
centimeters.
Which expression best represents the value of ar?
Answer:If the diameter is 13 you should try each answer until you find pi.
To find pi you have to divide the circumference by the radius.
You don't need to find the circumference in this question but you can.
The circumference is 40.82
Then you have to divide
40.82÷13
that equals 3.14
and because that is pi, C is your answer
Step-by-step explanation:
Which table represents a linear function?
At a glance, Kendra believes that the function represented on the graph is linear.
How can Kendra determine if the function is actually linear?
She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.
She can check to see if the sum of each y-value and x-value in every ordered pair is the same.
She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.
She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
the measures of the side of a triangle are 4√2 cm, 4√2 cm qnd 8√2 cm. what is the perimeter of the triangle?
Answer:
[tex]16\sqrt{2}[/tex]
Step-by-step explanation:
Add up all the sides to get the perimeter:
[tex]4\sqrt{2} + 4\sqrt{2} +8\sqrt{2} = 16\sqrt{2}[/tex]
What is the density of a sample with a mass of 5250g and a volume of 4.5mL?
Step-by-step explanation:
Density=5250/4.5=1166.66 g/ml
Find X
Pls help i have a quiz
Determine if 9 - 4x2 is the difference of two squares and if it is, factor it.
Answer:
Step-by-step explanation:
9 = 3 * 3 = 3²
4x² = 2²x² = (2x)²
9 - 4x² = 3² - (2x)² {a² - b² = (a + b)(a - b) ; a = 3 ; b = 2x}
= (3 +2x)(3 - 2x)
In ANOP, the measure of _P=90°, NO = 49 feet, and OP = 19 feet. Find the measure
of N to the nearest degree.
O
N
49
19
Answer:23
Step-by-step explanation:
Answer:
the answer is 23
Step-by-step explanation:
Please HELP!!! 20 POINTS!!
Answer:
guessing 8
Step-by-step explanation
27-3= 24
24/3=8
5% of the aliens are green. If there are
40 aliens, how many are green?
Answer:
2 aliens are green.
Step-by-step explanation:
0.05 * 40 = 2
Can you guys help out? I don't think I have the right answer. Thanks
Answer:
b and d
Step-by-step explanation:
i think its d i couldnt read the story so if im wrong i am terriably sorry.
A model railroad set was originally priced at $60, but Oliver waited to buy it until the model railroad set was on sale for 50% off. If he paid 10% sales tax on the sale price, how much did he pay in total?
$
Answer:
$33
Step-by-step explanation:
60 * 50% = 30
30 *10% = 3
30 + 3 = $33
Answer:
Step-by-step explanation:
$33
Step-by-step explanation:
60 * 50% = 30
30 *10% = 3
30 + 3 = $3
If you help me I'll make as brilliant
The answer is A) 3/100.
M is a point on line segment LH. KM is a line segment. Select all the equations that represent the relationship between the measures of the angles in the figure.
Group of answer choices a = b a + b = 90 b = 90 − a a + b =180 180 − a = b 180 = b − a
Answer:
180 - a = b and a + b = 180
Step-by-step explanation:
tell whether x and y are proportional
Answer:
Yes b/c y = 12x
Step-by-step explanation:
y = 12x
Help please
Brainiest answer to whoever is correct
Answer:
Required amount of aluminium foil = 522.80 [tex]in^{2}[/tex]
Step-by-step explanation:
The shape of the large Hershey kisses can be compared to that of a cone. So that;
the surface area of the kisses = [tex]\pi[/tex][tex]r^{2}[/tex] + [tex]\pi[/tex]rl
Let the slant height be represented by l. Applying the Pythagoras theorem;
[tex]l^{2}[/tex] = [tex]10^{2}[/tex] + [tex]8^{2}[/tex]
= 100 + 64
= 164
l = [tex]\sqrt{164}[/tex]
l = 12.81 in
Thus,
surface area of the kisses = (3.14 x [tex]8^{2}[/tex]) + (3.14 x 8 x 12.81)
= 200.96 + 321.7872
= 522.7472
surface area of the kisses = 522.75 [tex]in^{2}[/tex]
Thus, the amount of aluminium foil required to wrap the kisses is 522.80 [tex]in^{2}[/tex].
hi, i need help with Solve 18>12+x. Graph the solution.
Answer:
x < 6
Step-by-step explanation:
18 > 12 + x
Switch sides:
12 + x < 18
Subtract 12 from both sides:
12 + x - 12 < 18 - 12
x < 6
The solution of the inequality is,
⇒ x < 6
And, Graph is shown in image.
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 18 > 12 + x
Now, We can solve the inequality as;
⇒ 18 > 12 + x
Switch sides:
⇒ 12 + x < 18
Subtract 12 from both sides:
⇒ 12 + x - 12 < 18 - 12
⇒ x < 6
Thus, The solution of the inequality is,
⇒ x < 6
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ3
Find the inequality represented by the graph
Answer:
y > -2/3 x + 3
Step-by-step explanation:
First we find the equation of the dashed line.
y = mx + b
We see b = 3.
The slope is -2/3.
The equation of the line is
y = -2/3 x + 3
The line is dashed, not solid, and the shading is above the line, so the inequality is
y > -2/3 x + 3
8 less than or equal to -2x+16
The Answer is 8 ≤ -2x+16.
A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?
9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
6. Given that g(x) is the inverse of f(x)...
a. f(x) = 3x + square root x + 3; find g(2)
b. f(x) = e^x; find g'(e3)
Answer:
sub 2 lazarbeam... yeet yeet yeet
Find the Volume of the shape below.
V =
yd³
Answer:
[tex]v = \frac{b \times h \times l}{2} \\ \frac{12 \times 6 \times 14}{2} \\ = 504[/tex]
HELP ME I DONT KNOW ITS ABOUT Writing Equations of Lines!!! I WILL GIVE BRAINLIEST
Answer:
y=4/3x-7
Step-by-step explanation:
Answer:
Y=4/3x-7
Step-by-step explanation:
A water tank initially contained 105 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many liters of water are in the tank after 109 seconds? Round answers the nearest whole liter.
Answer:
Convert 300 L in 15 seconds to L/min a. ... 10) How many kilograms of water are in a standpipe containing 5678 L? a. ... tank volume if a pump is discharging a constant 60 litres per minute into the tank