Answers
Step-by-step explanation:
3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]
[tex]25 + 1 = r {}^{2} [/tex]
[tex]26 = r {}^{2} [/tex]
[tex]r = \sqrt{26} [/tex]
Now let find the sin, csc, and tan.
To find sin let use the formula
[tex] \frac{y}{r} [/tex]
[tex] \frac{1}{ \sqrt{26} } [/tex]
Rationalize the denominator
[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]
[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]
To find cosecant, it is the reciprocal of sin so it would be
[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]
To find tan, do
[tex] \frac{y}{x} [/tex]
Which is simply
[tex] \tan= \frac{1}{ - 5} [/tex]
4. Kennedi is correct since in the 2nd quadrant
The x value is negative, and the y value is positive.
Since sin is referred in trig as the y value, sin must be positive.
Related Questions
Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?
Answers
Answer:
$30
Step-by-step explanation:
8 x 5 = 40
40 - 10 = 30
If Jimmy boy here has 35 ropes and he washes 56 paper, how much wetlands will Johnny Boy own left.
Answers
Answer:
All of what he had
Step-by-step explanation:
Answer: jimmy will have it all
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue graph? 
Answers
Answer:
c
Step-by-step explanation:
1.45 to 4.35 as a simplified fraction
Answers
Answer:
1/45 = 0.02
4/35 =0.1 142857
Step-by-step explanation:
The expression of 1.45 to 4.35 as a fraction in its simplified form is 1/3.
What is a simplified fraction?A simplified fraction is an improper fraction that can no longer be further divided by a divisor. An improper fraction is a fraction with both the numerator and the denominator.
From the information given, we are to express 1.45 to 4.35 as a simplified fraction.
i.e.
= 1.45 as a ratio of 4.35
= 1.45/ 4.35
= 1/3
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multiply c by 9, then add 2 to the result
Answers
Answer:
9c+2
Step-by-step explanation:
Please help me with this question what’s 84 + 6 1/3
Answers
Answer:
90 1/3
Step-by-step explanation:
Answer: Mixed number form = 90 1/3
Decimal form = 90.3 with a repation bar
Actual Form = 271 / 3
Step-by-step explanation:
How many times greater is the area of Circle 1 than the area of Circle 2?If circle ones radius is 9 and circle twos radius is 3
Answers
It is 9 fr 100% pls trust me
The area of the circle {1} is 9 times greater than circle {2}.
What is Area?
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find how many times greater is the area of circle 1 than the area of circle 2 if circle ones radius is 9 and circle twos radius is 3.
We can write the areas of both the circles as -
A{Ο} = πR²
A{Ο1} = π x 9 x 9
A{Ο2} = π x 3 x 3
We can write -
A{Ο1} / A{Ο2} = {π x 9 x 9} / {π x 3 x 3}
A{Ο1} / A{Ο2} = 9
A{Ο1} = 9A{Ο2}
Therefore, the area of the circle {1} is 9 times greater than circle {2}.
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Diana received an inheritance of $3500 and plans to place all the money in a savings account that pays 3% compounded quarterly. How much money will be in the account in 10 years ?
Answers
Answer:
$36,050
Step-by-step explanation:
If the original price Diana puts into the savings account is $3500 and the pays 3% increase, than how much will be in the account in 10 years?
3% can also be turned in 3 divided by 100, I will be using that in my explanation.
3 divided by 100 : 0.03
you then multiply 0.03 by 3500 and you will get 105.
3% of the $3,500 is $105
$3,500 plus $105 is $3,605
You then have to multiply that answer by 10(years)
$3,605 times 10 is $36,050
Use distributive property for 3.2= 4/5(b - 5)
Answers
Sarah is going to invest $8,600 and leave it in an account for 16 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Sarah to end up with $18,500?
Answers
Answer:
4.9%
Step-by-step explanation:
Please help me it hard
Answers
Now count how many numbers there are or days which is 5
45 divided by 5 is 9
The answer is 9 pages per day
Hope this helps
Can someone please help me with my homework
Answers
Answer:
Do not use, there's still one more piece of the puzzle missing.
X =
Step-by-step explanation:
Lets look everything over and compare the corresponding parts of the 2 triangles.
One side of each is shared between the two triangles.
Another side of each triangle is 13 on each triangle.
The included angle of one triangle is 80 degrees and the other is 110 degrees.
Factor out the greatest common factor from –12a – 8a2.
Question 3 options:
A)
–4a(3 + 2a)
B)
2a(6 – 4a)
C)
–2a(6 + 4a)
D)
4a(3 – 2a)
Answers
Answer:
A -4a(3 + 2a)
Step-by-step explanation:
-12a - 8a^2) factor out a -4
-4(3a + 2a^2) factor out an a
-4a(3 + 2a)
Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL
Answers
Answer:
should be segment BT, that's what i put and it was right. hope this helps
Step-by-step explanation:
The altitude to the line segment AC is line segment BL.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, L, M, N are midpoints.
We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.
By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.
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solve all 5 questions for 62 points if they are correct you will be marked brainiest
Answers
Answer:
1.0.003
2.40 minutes
3.a,e
4.a,c,d
5.1/24
Step-by-step explanation:
Find the value of z in parallelogram CDEF
Answers
Answer:
z = 13
Step-by-step explanation:
Opposite sides of a parallelogram are equal. Therefore:
3z = z + 26
Subtracf z from each side
3z - z = 26
2z = 26
z = 26/2
z = 13
ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:
Answers
Answer:
20 boys in the class
Step-by-step explanation:
40% of 50 is 20
Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.
Answers
Answer:
7.3 units is the answer rounded
When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.
What is distance formula?The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.
This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.
We can use the distance formula to find the length of AB:
[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)
d = sqrt([tex](3 - (-4))^2 + (-1 - 1)^2[/tex])
= sqrt([tex]7^2 + (-2)^2[/tex])
= sqrt(49 + 4)
= sqrt(53)
≈ 7.3 (rounded to one decimal place)
Therefore, the length of AB is approximately 7.3 units.
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a. Find the value of x
below
Answers
#The x side is same with 80° so
11x + 3 = 80°
11x = 80 - 3
11x = 77
x = 7
Answer : 7What is the coefficient in the following expression
5+3x+ (-3)
Answers
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is the number that is grouped with an unknown number represented by a letter.
The area of a circle is 641 ft2. What is the circumference, in feet? Express your
answer in terms of
Answers
Step-by-step explanation:
Given
Area of a circle (A) = 641 ft²
Circumference (C) = ?
We know
πr² = 641
r² = 641 / 3.142
r² = 204
r = 14.28 ft
Now
Circumference
= 2πr
= 2 * 3.14 * 14.28
= 89.68 ft
Hope it will help :)
Answer:
The circumference is 89.68 ft.
(5x³-7x²+3x-4)-(8x³+2x²+3x-7)
Answers
Answer: =−3x^3−9x^2+3
Step-by-step explanation:
Distribute the Negative Sign:
=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)
=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
Combine Like Terms:
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)
=−3x^3+−9x^2+3
-0.5 how do I write the repeating decimal as a fraction?
Answers
Answer:
-1/2
Step-by-step explanation:
Which of the following is the expansion of
(2x + 3)^3?
Answers
I think the answer is 8×^3+36×^3+54×+27. If the answer is wrong then I'm sorry
Answer:
8x^3 + 36x^3 + 54x + 27
Step-by-step explanation:
If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27
What is the opposite of this integer: 180,000
Answers
Answer:
-180000
Step-by-step explanation:
cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste
Answers
Answer:
La longitud del alambre que sostiene el poste es 8.94 metros.
Step-by-step explanation:
La longitud del alambre se puede calcular usando Pitágoras:
[tex] L^{2} = P^{2} + B^{2} [/tex]
En donde:
L: es la longitud del alambre =?
P: es la altura del poste = 8 m
B: es la distancia del alambre al poste = 4 m
Entonces, la longitud del alambre es:
[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]
Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.
Espero que te sea de utilidad!
Find tan0 where 0 is the angle shown
PLEASE I NEED HELP
Answers
Answer:
tan = 12/5..............
hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm
Answers
jawaban
a. = 112 cm²b. = 136 cm²penjelasan langkah demi langkah( step by step explanation )
Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)
a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )
= 2 ( 32 + 8 + 16 )
= 2 × 56
= 112 cm²b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )
= 2 ( 24 + 12 + 32 )
= 2 × 68
= 136 cm²
What is the equation for the line of reflection?
Answers
x=6
hopefully im not wrong^^
Simplify
3x- 2z+- 2z- 4z- 3z
Answers
Answer: hi
The answer will be 3x−11z
Step-by-step explanation:
have a great day ^_^