Answer:
Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .
Step-by-step explanation:
Answer:
A.k.a., sin(total), cos(total) are functions that indicate the direction a triangle is right. Speaking from an angle point, sin(f) is an opposite of a hypotenous ratio, while cos(f) is the equivalent to the hypotenuse ratios
Step-by-step explanation:
Answer is above
Hope this helps.
Find the GCF (Greatest Common Factor) of 64 and 144
The calculated value of the gcf of 64 and 144 is 16
Calculating the gcf of 24 and 40From the question, we have the following parameters that can be used in our computation:
Expressions = 64 and 144
Expand both expressions
So, we have
64 = 2 * 2 * 2 * 2 * 2 * 2
144 = 2 * 2 * 2 * 2 * 3 * 3
Multiply the common factors
GCF = 2 * 2 * 2 * 2
Evaluate
GCF = 16
Hence, the gcf of 64 and 144 is 16
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A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch? A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (4, 20 ), (6, 14), and (12, 0). A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (0, 12), (8, 8), and (20, 2). A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (0, 16), (6, 8), and (12, 0). A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (0, 12), (8, 10), and (16, 8).
Answer:
A coordinate plane showing Falling Leaf, Time in seconds on the x-axis and Height in feet on the y-axis. A line is passing through (0, 12), (8, 10), and (16, 8).
Step-by-step explanation:
The y-intercept of the graph is the height of the leaf at the beginning, that is, 12 ft. This means that point (0, 12) is on the line.
The leaf falls to the ground at a rate of 0.25 feet per second, this means that after 8 seconds, the leaf travel 8*0.25 = 2 ft. Given that it started at 12 ft, its height is 12 - 2 = 10 ft. In other words, the point (8, 10) is on the line. Similarly, its height after 16 seconds is 12 - 16*0.25 = 8 ft, that is, the point (16, 8) is on the line.
Answer:
the answer is D
Step-by-step explanation:
A line is passing through (0, 12), (8, 10), and (16, 8).
The stem-and-leaf plot below shows the number of kilometers walked by participants in a benefit walk. Number of Kilometers Walked by Participants 12 0 3 6 7 9 9 13 0 1 4 5 5 14 0 0 2 3 3 8 8 9 15 0 2 2 2 2 3 5 5 7 16 0 5 5 9 9 17 0 4 5 (Key: 12 | 3 means 12.3 km) How many of the walkers traveled more than 16 km? What is the furthest that someone walked?
Answer:
Would you mind taking a screen shot of it?
Step-by-step explanation:
If the complex number x = 3 + bi and |x| 2 = 13, which is a possible value of b?
Answer:
A.2
Step-by-step explanation:
We know that |x|² = 13 and x = 3+bi:
(3+bi)² = 13
3² + b² = 13
9 + b² = 13
Subtract 9 from each side:
9 + b² - 9 = 13 - 9
b² = 4
Take the square root of each side:
√b² = √4
b = 2
Answer:
A 2
Step-by-step explanation:
Edge
plss help due today !!!!
Answer:
$30
Step-by-step explanation:
She paid $24.72 for the 2 packages of chicken because $12.36×2=$24.72.
She paid $0.99 for the broccoli because $1.98×1/2=$0.99.
She paid $3.49 for the milk because one gallon of milk costs $3.49.
$24.72+$0.99+$3.49=$29.20.
$29.20+$0.80=$30.00.
She used $30.00 to pay for the items.
Answer:
$30
Step-by-step explanation:
Which of the four angles marked on the picnic table is obtuse?
Answer:
Angle 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The others are all acute angles, and we can see that 1 seems to be slightly larger than a right angle.
A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix? focus: (0,8); directrix: y = –8 focus: (0, one-half); directrix: y = negative one-half focus: (8,0); directrix: x = –8 focus: (one-half, 0); directrix: x = negative one-half
Answer:
b)
i) Focus ( 0,a) = [tex](0,\frac{1}{2} )[/tex]
ii) The equation of the directrix is
[tex]y = -\frac{1}{2} or y +\frac{1}{2} =0[/tex]
Step-by-step explanation:
Step(i):-
A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point (not in a line) in the plane
• The Fixed line is called the directrix of the parabola.
• The Fixed point is called the focus of the parabola.
• A line through the focus and perpendicular to the directrix is called the axis of the parabola.
• The point of intersection of parabola with the axis is called the vertex of the parabola.
Given Parabola x² = 2 y
Comparing x² = 4 a y
4 a = 2
[tex]a = \frac{1}{2}[/tex]
Focus ( 0,a) = [tex](0,\frac{1}{2} )[/tex]
Step(ii)
The equation of the directrix is y = -a or y +a=0
The equation of the directrix is
[tex]y = -\frac{1}{2} or y +\frac{1}{2} =0[/tex]
The equation of the directrix is 2 y +1 =0
Answer:
b.
Step-by-step explanation:
edg 2021
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4 = (x – 6) and passes through the point (-2, -2)?
Answer:
y=x
Step-by-step explanation:
slope intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Let's rewrite the given equation in the form of y=mx+c, so that we can determine the gradient of the line.
y-4= x-6
y= x -6 +4
y= x -2
Thus, the gradient of the given line is 1.
the product of the gradients of perpendicular lines is -1.
(gradient of line)(1)= -1
gradient of line= 1
Thus, m=1.
y= 1x +c
y= x +c
To find c, substitute a coordinate.
When x= -2, y= -2,
-2= -2 +c
c= -2 +2
c=0.
Thus the equation of the line is y=x.
The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and explain your work.
Answer:
width = 18.97 inches
Step-by-step explanation:
To find the smallest width of the box to fit the bat, we need to put the bat in the diagonal of the box.
The diagonal of the box is given by:
diagonal^2 = length^2 + width^2 + height^2
Then, using the diagonal = 36 inches, length = 30 inches and height = 6 inches, we have:
36^2 = 30^2 + width^2 + 6^2
1296 = 900 + width^2 + 36
width^2 = 360
width = 18.97 inches
PLEASE I NEED YOUR HELP IM GIVING U OUT 10 POINTS What is the value of x in the equation 2 (x + 3) = 4 (x minus 1)? A)1 B)2 C)3 D)5
Answer:
D)5
Explanation:
opening the bracket, you get :2x+3 = 4x-4
solving further you ,that is collecting like times you will get 2x-4x = -4-6
Therefore,-2x = -10
Dividing both sides by -2,xis equal to 5.
I hope this helps…
Please PLEASE PLEASE HELP for 20 POINTS
Answer:
x ≥ 4
Step-by-step explanation:
There is a closed circle at 4 so it means equals
The line goes to the right so that means greater
x ≥ 4
Answer:
D or x≥4
Step-by-step explanation:
The number has to be 4, since the dot lies on it, so that excludes A and B.
It is greater, because the arrow is pointing right instead of left.
Since the circle is closed, then it means that it includes 4.
So, C would not be the answer, because it is read as " x is greater than 4"
it should be D, which is " x is greater than or equal to 4" (since the circle is closed).
Thus, D is the answer
What is the numerator of the simplified sum?
Answer:
Maybe 4x+6 i'm not sure
Step-by-step explanation:
Answer:
It's 4x+6
Step-by-step explanation:
Which of the following types of statement can be used to explain the steps of a proof?
Check all that apply.
A. Guess
B. Theorem
C. Conjecture
D. Postulate
Answer:
its postulate, and theorem
Step-by-step explanation:
i did this assignment
The types of statement can be used to explain the steps of a proof is postulate and theorem.
What is Theorem?A statement that has been proven true or that can be proven is known as a theorem in mathematics. A logical argument is used to prove a theorem by using the deductive system's inference rules to show that the theorem follows logically from the axioms and other theorems that have already been proven.
Guessing and Conjecture is just striking some ideas without any definite conclusion.
A claim that is accepted as true without evidence, also referred to as an axiom. Lemmas and theorems are deduced from postulates, which serve as their fundamental building block.
Thus, the statement used in proof is Postulate or Theorem.
Learn more about Theorem here:
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Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2.18 per movie.
Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free.
Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per
movie to be equal at Service A or Service B?
OA 6
OB.
0
O c.
1
OD. 7
Answer:
6 is your answer :)
Select the inequality that represents the relationship described below.
The sum of three times a number and seven is greater than four times the number.
O A.
3 + 7 x > 4x
OB.
3x + 7 > 4x
O C.
3-7x> 4x
OD.
3x-7> 4x Thing
Answer:
B
Step-by-step explanation:
idk how to explain but it iss what it issss
Solve for x 3x +2= y; y=5. X=____
Answer:
X=1
Step-by-step explanation:
Solve this like any other two step equation.
But first plug in y value.
3x + 2 = 5
Subtract 2 from each side
3x = 3
Now divide each side by 3
X=1
Hope this helps plz mark brainliest!
Answer:
[tex]3x +2= y; y=5. \\3x +2 = 5\\3x =5 -2\\3x = 3\\Divide-both-sides-of-the-equation-by 3\\\frac{3x}{3} =\frac{3}{3} \\x = 1[/tex]
Step-by-step explanation:
x = 1
Step 1 : Substitute 5 for y in 3x +2= y
Step 2 : Collect like terms
Step 3 : Simplify
Divide both sides of the equation by 3
x = 1
WILL MARK BRAINILEST IF CORRECT
Express the answer as [tex]a^n[/tex].
[tex](3^2)^6 * (4^2)^4[/tex]
Answer:
81 x 12^8
Step-by-step explanation:
3^12 x 4^8
Use the properties of exponents
3^4 x 12^8
= 81 x 12^8
Answer:
2.156489996 * 10^21
Step-by-step explanation:
What is the slope of the line y = 2x + 3 *
Answer:
2
Step-by-step explanation:
the equation for the line is written in slope intercept form y=mx+b m is the slope and b is the y intercept where the line crosses the y-axis
Hello! :)
This equatio is written in slope-intercept form, which looks like so:
y=mx+b
Here, m is the slope, and b is the y-intercept.
In the given equation, 2 is the slope, and 3 is the y-intercept.
I hope it helps you. Please ask me if you have any questions.
~A forlorn teen
[tex]MagicalNature[/tex]
For the function above is the discriminate, positive, negative, or zero?
Answer:
0
Step-by-step explanation:
When there is one x-intercept, the discriminant is zero.
__
The discriminant is used to compute the difference between the roots. When it is positive, the real roots are different, so there are two x-intercepts.
When the discriminant is zero, there is no difference between the roots, so there is one x-intercept (as here).
When the discriminant is negative, there are no x-intercepts and the two roots are complex.
Situation:
Holly wants to save money for an
emergency. Holly invests $1,000 in an
account that pays an interest rate of
6.25%.
How many years will it take for the account to reach $5,500? Round to the nearest hundredth.
A mathematical term that does not include an equal or inequality sign is called an _____.
Answer:
A mathematical term that does not include an equal or inequality sign is called an expression.
Step-by-step explanation:
Example:
(2+2)4+8
You do what's in parenthesis first, which is 2+2 = 4
Then, you multiply 4 by 4 because there is no sign between the paratinsees
4 x 4= 16
Then you add 8.
Your answer is 24.
Hoped this helped!
☆*: .｡. o(≧▽≦)o .｡.:*☆
Solve system of equations for x + y: 3x + 2y = -18 & 2x + 9y =-12
Answer:
(- 6, 0 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = - 18 → (1)
2x + 9y = - 12 → (2)
Multiplying (1) by 2 and (2) by - 3 and adding will eliminate the term in x, that is
6x + 4y = - 36 → (3)
- 6x - 27y = 36 → (4)
Add (3) and (4) term by term to eliminate x
- 23y = 0
y = 0
Substitute y = 0 into either of the 2 equations and evaluate for x
Substituting into (1)
3x + 0 = - 18
3x = - 18 ( divide both sides by 3 )
x = - 6
Solution is (- 6, 0 )
William's typical running speed is 6 mi/h. The difference between his fastest speed and his typical speed is 1.5 mi/h. The
equation f-1.5 - 6 can be used to represent this problem, where fis William's fastest speed. What is William's fastest
speed?
4.5 mi/h
5.5 mi/h
6.5 mi/h
7.5 mi/h
William's fastest speed given his typical speed and the diffeerence between his fastest speed and his typical speed is 7.5 mi/h.
What is William's fastest speed?Addition is determining the total value or summing two or more numbers. Addition is one of the four basic operations in mathematics.
Fastest speed = 1.5 + 6 = 7.5
To learn more about addition, please check: https://brainly.com/question/19628082
QUESTION 4 What is the area of the trapezoid?
Answer:
A =275.88 m^2
Step-by-step explanation:
The area of a parallelogram is found by
A = bh
A = 24.2 * 11.4
A =275.88 m^2
Answer:
275.88
Step-by-step explanation:
To show that TRK= TUK by the SAS postulate, what additional information is necessary?
Answer:
RTK = UTK
Step-by-step explanation:
Answer:
RTK =UTK
Step-by-step explanation:
There are 35 animals at the zoo, including lions, crocodiles, monkeys and elephants. There are 6 lions; there are 2 fewer crocodiles than lions; there are 5 times as many monkeys as crocodiles. How many elephants are there?
Answer:
5 elephants
Step-by-step explanation:
lions = 6
crocs = lions -2 = 6-2 =4
monkeys = 5*crocs = 5*4 = 20
the rest are elephants
35 - 20 -4-6 = 5
5 elephants
Answer:
5
Step-by-step explanation:
6-2=4
4*5=20
35-30=5
PLEASE HELP ME!!! 80 POINTS FOR 3 QUESTIONS!!!
Answer:
A are 20, 15. The first (x) coordinate tells how far along the horizontal (x) axis it is, here 20. The second (y) coordinate tells how far up the vertical (y) axis it is, here 15.
Step-by-step explanation:3D space we add a third coordinate called z. This tells how far the point is in the third dimension. You can think of this third (z) dimension
Answer:
Step-by-step explanation:
is there a third question because it is loading
Standard Form:
Ax + By = C
Write a linear equation in slope-intercept form
with a slope of 1/2 and a y-intercept of -3
Answer:
y = (1/2)x - 3
Step-by-step explanation:
slope-intercept form: y =mx + b
m - slope,
b - y - intercept.
m = 1/2
b= - 3
y = (1/2)x - 3
Please look at the image provided.
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]\frac{6\left(x-2\right)}{2}=\frac{3\left(x+5\right)}{8}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\6\left(x-2\right)\cdot \:8=2\cdot \:3\left(x+5\right)\\Simplify\\48\left(x-2\right)=6\left(x+5\right)\\\mathrm{Expand\:}48\left(x-2\right):\quad 48x-96\\48\left(x-2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=48,\:b=x,\:c=2\\=48x-48\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:48\cdot \:2=96[/tex]
[tex]=48x-96\\\mathrm{Expand\:}6\left(x+5\right):\quad 6x+30\\6\left(x+5\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=6,\:b=x,\:c=5\\=6x+6\cdot \:5\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:5=30\\=6x+30\\48x-96=6x+30\\\mathrm{Add\:}96\mathrm{\:to\:both\:sides}\\48x-96+96=6x+30+96\\Simplify\\48x=6x+126\\\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}\\48x-6x=6x+126-6x\\\mathrm{Simplify}\\42x=126\\\mathrm{Divide\:both\:sides\:by\:}42[/tex]
[tex]\frac{42x}{42}=\frac{126}{42}\\Simplify\\x=3[/tex]
Roxanne is measuring the diameter and the radius of different-sized circles. There is a proportional
relationship between the radius of the circle in inches, x, and the diameter of the circle in inches, y.
A circle with a 2-inch radius has a diameter of 4 inches. Write the equation for the relationship
between x and y
Answer: y =2x
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Since a circle with a 2-inch radius has a diameter of 4 inches, it means that the diameter of a circle (y) is equal to two times its radius (x).
Mathematically speaking:
y = 2 x
Feel free to ask for more if needed or if you did not understand something