for an angle 0 with the point (-5,-12) on its terminating side, what is the value of cosine?
A. -5
B. -12
C. -5/13
D. -12/13
Answer:
We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.
What is the leading coefficient and constant of this equation?
(8r^3 + 2r^2 + 1) - (7 - 7r^3 +3r^2)
Answer:
The leading coefficient is 15
The constant is -6
Step-by-step explanation:
So first open up all the parentheses:
[tex]8r^3+2r^2+1-7+7r^3-3r^2 = 15r^3-r^2-6[/tex]
The leading coefficient is 15
The constant is -6
What is the surface area of a cylinder with base redius 2 and height 9
Answer:
[tex]138.23units^2[/tex]
Step-by-step explanation:
[tex]A=2\pi rh+2\pi r^2=2*\pi *2*9+2*\pi *2^2=138.23008\\138.23units^2[/tex]
Answer:
44pi
Step-by-step explanation:
Look at the attachment
What value is a discontinuity of x squared plus 2 x plus 3, all over x squared minus x minus 12?
x = −1
x = −2
x = −3
x = −4
Answer:
x=-2
hope this helped
A line perpendicular to y= 1/4x + 3 passes through the point (0, 6). Which other point lies on the line? Options: A. (4, -2) B. (3, -6) C. (0, -6) D. (-2, 2)
Answer:
B. (3, -6)
Step-by-step explanation:
Given line
y= 1/4x + 3
given line is in form of y = mx + c
where m is slope of line and c is y intercept
thus, in line y= 1/4x + 3 m is 1/4 is slope
we know product of slope of two perpendicular line is -1
m1 * m2 = -1
let the line perpendicular to y= 1/4x + 3 be
y = mx + c
thus
m * 1/4 = -1
m = -4
Thus, in y = mx + c , m is -4
updated equation until now by putting value of m as -4
y = -4x + c
this, line passes through point (0,6)
putting x as 0 and y as 6 in y = -4x + c
we have
6 = -4*0 + c
=> c = 6
Thus, equation of perpendicular line is
y = -4x + 6
_______________________________________________
we have to find which point from the option lies on y = -4x + 6
lets plug in value of x from given points and see if value of y calculated is as given in option . if the value is different then point does not lie on perpendicular line
(4, -2)
y = -4*4 + 6
y = -16 + 6 = -10
-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on
y = -4x + 6
(3,-6)
y = -4*3 + 6
y = -12 + 6 = -6
-6 is equal to -6 as given in option, thus point (3,-6 ) does lie on
y = -4x + 6
(0, -6)
y = -4*0 + 6
y = 0 + 6 = 6
6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on
y = -4x + 6
(-2,2)
y = -4*-2 + 6
y = 8 + 6 = 14
14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on
y = -4x + 6
Thus, option B. (3, -6) is the correct choice.
Omg you guys were so helpful on my last question! But I got another
What is 27 divided by 655
I have to answer my question in boxes.
Please hurry before my lesson goes off!!
Answer: 0.04122137404
If you want me to explain more please let me know :)
If a book is 33 hour and 45 min long , how many days would it take you to read it if you read 3 hours a day ?
Answer:
11
Step-by-step explanation:
33.45 ÷ 3 = 11.15 but round it
(im not 100% sure but I hope this helps)
Mr. Martin currently makes 25,000 per year and gets a 5% raise on
his salary each year.
Which equation models the growth of his salary?
Answer:
My milkshake brings all the boys to the yard
And they're like, it's better than yours
ABC and ACD are both right-angled triangles.
D
a)
Explain why the length of AC
is 13 cm.
5 cm
C
5 cm
b)
Calculate the length of AD.
Give your answer correct
to 1 decimal place.
B
A
12 cm
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
Please answer !!???????????!!! PLEASE 15 points!!!!!!!!!!!
Answer:
Question 9: slope= 4
Question 10: 10x+5y = -25
Step-by-step explanation:
For question 9, since it is a linear function, you can think of it as y=mx+b. "m" is the slope value. In your instance, m=4 so the slope is 4. For question 10, you need to reorder it into y=mx+b by moving the -25 to the left side and moving the 5y to the right side. After you do this, you should get 10x+25=-5y. Then divide both sides by -5 to get -2x-5=y. Since m is a negative value, the function has a negative slope. Since the "b" value is the y-intercept and this case it's -5, the y-intercept of the equation is -5.
(02.07 LC)
Which relationship is always correct for the angles x, y, and z of triangle ABC?
A
x
C
Ox+ z = y
Oy + z = x
O x + y + z = 180 degrees
Ox + y + z = 90 degrees
Answer:
Ox+y+z=180
Step-by-step explanation:
The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
We know that a triangle has three angles.
Let x, y and z be the three angles of the given triangle.
We know that, the interior angles of a triangle sum up to 180°.
The given three angles are x, y and z.
So, x + y + z = 180°
Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.
To learn more about Triangles, click on the link given :
https://brainly.com/question/19976619
#SPJ7
Does (3, –8) make the equation y = –x + –5 true?
Answer:
true
Step-by-step explanation:
y = –x + –5
Substitute the point into the equation
-8 = -3 + -5
-8 = -8
This is true so the point is a solution to the equation
please help i’ll give brainliest !
Answer:
1: (ab)^3
2: 3m^2n^5
3: 15y^3x^7
4: 8s^5r^7
5: 6q^3p^5
Step-by-step explanation:
sorry but fot the explanation, it would take me 10 years to write but you can trust me with these answers
The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:
Answer:
Step-by-step explanation:
Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
What is Cramer's rule?Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.
Given that,
[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]
solution by Cramer's rule
[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A = -320[/tex]
[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A_1 = 7210[/tex]
[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]
[tex]A_2=-10135[/tex]
[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]
[tex]A_3=-2770[/tex]
[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]
[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]
[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]
[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]
Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
Learn more about Cramer's rule
https://brainly.com/question/22247684
#SPJ2
The figure shown represents a structural portion of the Eiffel Tower. Can the triangles be proven congruent? answers: A) Yes, ΔMNO ≅ ΔPON by HL. B) Yes, ΔMNO ≅ ΔPON by SAS. C) Yes, ΔNOM ≅ ΔPON by AAS. D) Yes, ΔONM ≅ ΔPON by SSS.
Answer:
B) Yes, ΔMNO ≅ ΔPON by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.
Answer:
Step-by-step explanation:
B) Yes, ΔMNO ≅ ΔPON by SAS
Just did this test.
Hannah invests £350 in an account that pays 3.5% compound interest per annum. Work out how much money Hannah will have in her account in 12 years.
I’m stuck on this problem help
Can someone help me ???????
Answer:
Step-by-step explanation:
15/3= 5
Orrrr
15/-3=-5
Identify the independent and dependent quantities in each problem solution then write a function to represent a problem situation :
Nathan is riding the scooter at a rate of 6 miles per hour
Answer:
independent: riding the scooter
dependent: miles ridden
function: y=6x
Step-by-step explanation:
Answer:
independent: riding the scooter
dependent: miles ridden
function: y=6x
Step-by-step explanation:
Which expression is equivalent to (x^14 y^1/6)^1/2
A.x^1/2y^4
B. X^1/8y8
C.x^1/4y^8
D.x^1/4y^4
Please help its timed
Answer:
x^1/8 y^8
Step-by-step explanation:
To obtain the answer to the question given above, let us simplify the expression (x^1/4 y^16)^1/2.
This is illustrated below:
(x^1/4 y^16)^1/2
(x^1/4)^1/2 • (y^16)^1/2
x^1/4×1/2 • y^16×1/2
x^1/8 y^8
Therefore, x^1/8 y^8 is equivalent to (x^1/4 y^16)^1/2.
(-4ab - 5a + 3) - (-7ab + 9)
________________________________
Hey!!!
solution,
(-4ab - 5a +3)-(-7ab+9)
=-4ab -5a+3 + 7ab - 9
= -4ab+7ab-5a+3-9
= 3ab-5a-6
Hope it helps...
Good luck on your assignment
______________________________
Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?
A. 0.003
B. 0.3
C. 0.0003
D. 0.03
Answer:
A. 0.003
Step-by-step explanation:
When using decimals to represent a percentage it goes as follows:
100% = 1
75% = 0.75
50% = 0.5
25% = 0.25
1% = 0.01
And in the case of this problem: 0.3% = 0.003
Need help with a question
Answer: -4 meters
Step-by-step explanation:
8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.
Answer:
-4
Explanation:
To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.
8 - 4
-4
Therefore, the change in depth was -4 meters.
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.
Answer:
2 and 3 are true
Step-by-step explanation:
1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.
2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.
3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.
4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.
Hope this helps!
Answer:
2 and 3
Step-by-step explanation:
Tammy needs to make a total of 60 deliveries this week. sao far she has completed 42 of them. what percentage of her total deliveries has Tammy completed?
Answer:
70%
Step-by-step explanation:
42/60= 0.7 = 7/10 = 70%
If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6
Answer:
A
Step-by-step explanation:
[tex]f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12[/tex]
Therefore, the correct answer is choice A. Hope this helps!
Answer:
=-12
Step-by-step explanation:
f(x) = (x^2-36)/(x+6)
Factor the numerator. The numerator is the difference of squares
(a^2 -b^2) = (a-b)(a+b)
f(x) = (x-6)(x+6)/(x+6)
Cancel the like terms
f(x) = x-6
f(-6) = -6-6
= -12
One angle is 60 degrees, the other
is 60 degrees, What is my missing
angle? What is
my
first and
last name?
hi this is my first answer
a straight angle has 180°,
here your given angle is 60+60=120°
so your missing angle is 180-120=60°
Step-by-step explanation:
The missing angle is 60° (180 - 60 - 60=60)
Its name: equilateral triangle
The triangles below are similar because of the:
4
Z
х
12
6
2
Y
A
B
9
0000
AA similarity postulate.
SSS similarity theorem.
SAS similarity theorem.
The triangles are not similar.
Insufficient evidence. Would you please send a screenshot or a picture of the paper?
HURRY PLSSS
A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (4x − 2) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 8 inches.
ANSWER CHOICES
4x ^2 − 2x; Area = 240 in^2
4x ^2 − 2; Area = 240 in^2
4x ^2 − 2; Area = 254 in^2
4x ^2 − 2x; Area = 30 in.
Answer:
C)
Step-by-step explanation:
the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254
Answer:
Step-by-step explanation:
Factor completely: 32 + −10.
Answer:
22
Step-by-step explanation:
you are adding negative 10 so your number gets smaller
Traductor de español
¡Hola!
La pregunta le pregunta a Factor completamente 32 + -10. 32, un número positivo puede agregar a -10, un número negativo correctamente.
Respuesta: 22
Prueba: 32
+ -10
______
22
_____________________________________
English Translator
Hello!
The question asks Factor completely 32 + -10. 32, a positive number can add into -10, a negative number correctly.
Answer: 22
Proof: 32
+ -10
______
22