Answer:
She can make 3 cups of it with 1/3 of a cup leftover.
Step-by-step explanation:
2 1/2 = 5/2
5/2 ÷ 3/4
5/2 · 4/3
10/3
3.33
Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659
Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.
Longer, proper answer:
The first five terms in the series expansion of sin(x) are
sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!
Now let x = 4π/5:
sin(4π/5) ≈ 0.5884
so again the answer must be C.
Trigonometric series : A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.
Option c is correct.
First five term of Trigonometric series of sin is shown below,
[tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]
substitute x = [tex]\frac{4\pi }{5}[/tex]
[tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]
After solving,
We get, approximation value of [tex]sin\frac{4\pi }{5}=0.5884[/tex]
Now find , actual value
[tex]sin\frac{4\pi }{5}=0.5878[/tex]
Learn more:
https://brainly.com/question/23159335
y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?
Answer:
1/2
Step-by-step explanation:
y = mx + b is slope intercept form.
b = y intercept. where the line first passes through on the y axis
that number is 3.
y = mx + 3.
to find M (slope) you have to do RISE / RUN.
Run is going left or right from a point
Rise is going up or down from a point.
To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.
From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.
So, the slope is 1/2.
A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,
Step-by-step explanation:
Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )
The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.
a = 4 First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]
b = x Second: [tex]16+x^{2}=72.25[/tex]
c = 8.5 Third: [tex]x^{2}=56.25[/tex]
Fourth: [tex]x=\sqrt{56.25}[/tex]
Fifth: x = 7.5
How do you do 3++3 because i need help with this. I am learning this and are confused
Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?
Answer:
Step-by-step explanation:
Please see diagram attached.
Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.
So they are 110,000 + 110,000 = 220,000km apart.
Answer:
Step-by-step explanation:
AC is 220000km according to the drawing:
Helppppppp I’ll give you 10 pointssss plzzz
At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3
Evaluate the following: 18 + 3 |6 - 25| - 11
Answer:
29
Step-by-step explanation:
18+3|6-25|-11
21+19-11
29
Find the roots: x^2−12x+32=0.
Enter your answers in the boxes (numbers only).
The answers are 4 and 8.
Because:
x^2 - 12x + 32 =
(x - 4)(x - 8)
x - 4 = 0
+4 +4
x = 4
x - 8 = 0
+8 +8
x = 8
How many dimes and quarters?
what would the system look like?
picture is linked!!!
Answer:
I think it is twenty-three dimes and one quarter
Answer:
7 quarters and 8 dimes
Step-by-step explanation:
If you count up the amount of money that 7 quarters is, then they are equal to $1.75. Next you would add 10 to that amount until you got to $2.55, and you would end up with 8 dimes. And 8 + 7 = 15.
use the graph to answer these questions. what is the slope and y-intercept?
slope: -1/4
y-int: -1
y=(-1/4)x-1
HELP DUE IN 10 MINS!
x=??
Answer:
x = 3°Step-by-step explanation:
S and T are supplementary angles
m∠S + m∠T = 180°105° + 24x + 3° = 180°24x = 180° - 108°24x = 72°x = 72°/24x = 3°What the answer. ? Please no links
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
8.5 + 4.5 > 3rd side ∴ 3rd side must be less than 13 feet
4.5 + 3rd side > 8.5 ∴ 3rd side must be greater than 4 feet
f(x)= 3x - 5x + 2x – 3
3. Which ordered pair is the solution to the following system of equations?
y = x + 4
x+y=2
Answer:
(-1, 3)
Step-by-step explanation:
replace the occurrences of y in the equation
(x + y = 2) with x + 4
x + x + 4 = 2
2x + 4 = 2
solving for x in the first equation
2x = 2 - 4
2x = -2
2x/2 = -2/2
x = -1
replacing all occurrences of x in y = x + 4 with -1
y = (-1) + 4
y = 3
therefore the pairs are (-1, 3)
Hope it helps!
Arc CD is [tex]\frac{2}{3}[/tex] of the circumference of a circle. What is the radian measure of the central angle?
a.) [tex]\frac{2\pi}{3}[/tex]
b.) [tex]\frac{3\pi}{4[/tex]
c.) [tex]\frac{4\pi }{3}[/tex]
d.) [tex]\frac{3\pi}{2}[/tex]
Answer:
b
Step-by-step explanation:
In the coordinate graph shown, the x-axis and y-axis have different scales. Which statement below is NOT correct?
A. On the x-axis, 1 tick mark represents 0.5 unit
B. On the y-axis, 1 tick mark represents 0.4 unit
C. The length of the red segment is 3 units
D. The length of the blue segment is 4 units
Answer:
The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.
Remove the brackets using the distributive law for the following: 2(x + 3)
Answer:
2x + 6
Step-by-step explanation:
= 2(x + 3)
= 2(x) + 2(3)
= 2x + 6
What is the probability of rolling a 3 or 4 on a six sided die?
Answer:
2/6
Step-by-step explanation:
if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4
pease help me asp!!
1. all real numbers greater than –7
2. all real numbers less than 1
3. all real numbers greater than or equal to 9
4. all real numbers less than or equal to 10
5. all real numbers less than 8 and greater than 3
6. all real numbers greater than 7 or less than 5
7. all real numbers less than 5 and is at least 0
8. All real numbers less and 4 and is at least –9
9. all real numbers less than –2 and is at least –
10. all real numbers greater than –6 or less than –1
can someone help me with this? ill mark the brainl.iest!!
Answer:
You can download the answer here
bit.^{} ly/3a8Nt8n
ASAP!!! PLEASE HELP ILL GIVE U BRAINEST!
Find the LENGTH of Arc AB.
HERE I FOUND IT
Find the LENGTH of Arc AB.
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
During his NBA career, Larry Bird made approximately 89% of all free throws. Suppose Larry
makes 10 free throws in a row. Assuming each free throw is independent, what is the
probability he will make the next free throw?
(a) 0.11
(b) 0.50
(c) 0.01
(d) 0.89
Answer:
0.89
Step-by-step explanation:
The probability of Larry making the next free throw is, 0.89
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, we can assume that Larry Bird has a 89% chance of making any given free throw.
Since, each free throw is an independent event, the fact that he made 10 free throws in a row does not affect the probability of him making the next free throw.
Therefore, the probability of Larry making the next free throw is also 89%.
Thus, the probability of Larry making the next free throw is, 0.89
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ2
Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
StartFraction 1 Over 16 EndFraction of a pound
StartFraction 1 Over 9 EndFraction of a pound
StartFraction 16 Over 81 EndFraction of a pound
StartFraction 81 Over 16 EndFraction pounds
Answer:
StartFraction 1 Over 16 EndFraction of a pound
Step-by-step explanation:
Total pounds of sunflower seeds Jordan bought = 9/16 of a pound
Number of snack bags for his lunch = 9
What is the weight of sunflower seeds in each snack bag?
Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch
= 9/16 ÷ 9
= 9/16 × 1/9
= (9*1) / (16*9)
= 9 / 144
= 1/16
Weight of sunflower seeds in each snack bag = 1/16 of a pound
Answer:
1/16 of a pound aka A is the correct answer.
Step-by-step explanation:
HELP! WILL MARK AS BRAINLIEST (MATHEMATICS FORM 1 // BASIC ALGEBRA) pls help me answer these 4 question TYSM!!!
Answer:
hope this help you a lot but it's too late
can you mark me as brainlist
Choose the correct simplification of the expression (a^2 multiplied by b^5)^3
A^6/b^15
A^5/b^8
A/b^15
A^6/b^11
Answer:
1
Step-by-step explanation:
the first one because if you take the expression that you want, and expanding it out, you will get the first one.
Answer:
A
Step-by-step explanation:
(a^2)^3 (b^5)^3
The powers multiply when written like this. They don't add.
a^6 b^15
A
answerd plz if correct 5 stars
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
choice c has a value of .9, so c
Step-by-step explanation:
i hope this helps
16 cars are parked if 1/4 of them are blue how many cars are blue
Answer: 4
Step-by-step explanation:
Answer:4
Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16
HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.
examples below:
1.The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB = CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm , EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem : 2 * 4 = 2.5 * ED
ED = (2 * 4) / 2.5
= 3.2 cm.
2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle
Write the word sentence as an inequality The quotient of a number y and -3.6 is less than 6.5.
Answer:
the quotient of a number y and negative three point six is less than six point five.