Answer:
[tex]cos^2\theta + sin^2\theta = 1[/tex]
Step-by-step explanation:
Given
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]
Going by the Pythagoras theorem, we can assume the following.
a = Oppositeb = Adjacentr = HypothenuseSo, we have:
[tex]Sin\theta = \frac{a}{r}[/tex]
[tex]Cos\theta = \frac{b}{r}[/tex]
Having said that:
The expression can be further simplified as:
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]
Substitute values for sin and cos
[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes
[tex]cos^2\theta + sin^2\theta = 1[/tex]
A LOT OF POINTSS
find the surface area
Answer:
He used 286.73² in. of wrapping paper.
Answer:
I got 286.73
Step-by-step explanation:
I found the area of all the shapes in the thing and added them.
Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73
Name the parent function for the graph below.
HELP PLEASE
Answer:
A. Absolute Value
Step-by-step explanation:
The reason is because of the way the line is directed
Answer:
Absolute Value
Step-by-step explanation:
This is the graph of the function
[tex]f(x)=|x|[/tex]
PLZ HELP ME
8.9 x 10 EXP -5
4.41 x 10 EXP -2
0.000009 in scientific notation
Answer:
8.9 x 10^-5 = 0.000089
4.41 x 10^-2 = 0.0441
0.000009 = 9 x 10^-6
4[(10-4)2 ÷4]
A.9
B.6
C.12
D.36
Answer:
C.12
Step-by-step explanation:
Answer: C. The answer is 12. Hope this helps.
Nine less than one fourth of a number 6. Find the number.
5.3057(600)578)542)(200)
Whoever gets correct answer gets marked brainliest!! Please answer asap!
Use the graphs of f and r to describe the transformation from the graph of f to the graph of r
f(x)=2/3x+1
r(x)=3f(x)
Answer: vertical stretch by 3
Step-by-step explanation:
when g(x) = a*f(x), the graph of g(x) is vertically stretched by a
how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six
Answer:
C
Step-by-step explanation:
2-(p*6)
minus=the difference of
(p*6)=p times 6
Fully written out: The difference of two and p times six
ben payed $900 for a sofa. The price of the sofa Juana was 2/3 the price ben payed. How much did Juana pay for her sofa?
Answer: $600
Step-by-step explanation:
Find 2/3 of $900.
To do this, we have to get 9 and divide by 3.
9 ÷ 3 = 3
Multiply 3 by 2. You get 6.
Add two zeros.
You will get $600.
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.
help asap if you do you will get the crown thingy
Answer:2.35x+6.00=y
x=number of gallons of gas
Step-by-step explanation:
ario made a deposit in an account that earns annual interest. His account balance, in dollars, after t years is represented by the expression 400⋅1.05t . Yvonne made a deposit in an account that earns annual interest. Her account balance, in dollars, after t years is represented by the expression 300⋅1.06t . Which statement describes the situation correctly? A. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent more annual interest than Mario’s account. B. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent less annual interest than Yvonne’s account. C. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent less annual interest than Mario’s account. D. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent more annual interest than Yvonne’s account.
Answer:
nothing at all.
Step-by-step explanation:
Below are two parallel line intersecting them
Answer:
x = 53°
Step-by-step explanation:
alternate exterior angles are equal
Answer:
Step-by-step explanation:
Two lines are parallel.
x = 53
Alternate exterior angles are equal
When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer:
Answer:
45mL hot cocoa is more chocolateyStep-by-step explanation:
When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.
20mL = 3 ounces
x = 1 ounce
cross multiply
3x = 20
x = 20/3
x = 6.67 mL
This means he must have add 6.67mL of chocolate to 1 ounce of water.
Similarly, if 45mL is added to every 6 ounces
45mL = 6ounces
x = 1 ounce
cross multiply
6x = 45
x = 45/6
x = 7.5mL
This means he must have add 7.5mL of chocolate to 1 ounce of water.
The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa
Answer:
eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|
Step-by-step explanation:
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60$60dollar sign, 60. Each pizza is cut into 888 slices, and she wonders how many total slices she can afford. Let PPP represent the number of pizzas that Jacque buys.
Answer:
30slicesStep-by-step explanation:
given data
cost of pizza $7.5
cost of delivery=$14
let the the number of pizza be p
let the total cost of x pizza be y
the expression for the total cost of x pizza is
y=7.5+14p
given that y=$60
60=7.5+14p
solving for x we have
14p=60-7.5
14p=52.5
p=52.5/14
p=3.75
therefore the total slices is
3.75*8= 30slices
A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin 180 degrees clockwise to form Square A'B'C'D', what would be the length of one of the sides? A. 0 units B. 5 units C. 10 units D. 20 units
Answer:
B. 5 units
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.
If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).
If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)
A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence:
[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]
need help with a question
Answer:
You need to put the Question to get us to answer it sorry
Step-by-step explanation:
Which of the following equations does not represent the sinusoidal function graphed below?
y = -2sin2x
y = 2sin2x + pi/2
y = 2sin2(x +pi/2 )
y = 2sin(2x + π)
Answer:
y = 2sin2 x + pie/ 2
Step-by-step explanation:
Answer: y= 2sin2(x +pi/2 )
4. Write an equation for the table in slope intercept form
Answer:
y=1.6x-5
Step-by-step explanation:
Pls answer and show WORK pls do it right
Answer:
4/6
Step-by-step explanation:
1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!
Renee can run 10 miles in 1.75 hours. Amy can run 8 miles in 1.5 hours who runs faster
Answer:
The person with the larger value means they are moving at a higher acceleration
Step-by-step explanation:
Renee: 10 miles / 105 minutes = 0.095 mi/min
Amy: 8 miles / 90 minutes = 0.088 mi / min
ax+bx=c solve for x
Answer:
x= c/a+b
Step-by-step explanation:
2. Express each of the following percentages as
a decimal.
(a) 4%
(b) 633%
Answer:
a. 0.04
b. 6.33
Step-by-step explanation:
a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04
4/100 = 0.04
b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33
633/100 = 6.33
A store manager instruct his employees to mark up all items by 30%.
What was the clerks likely error?
Answer: i have this work book and i guess it would be the clerk didnt put the amonut up enough
Step-by-step explanation:
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
speed of boat is 35 mph
speed of river is 5mph.
Step-by-step explanation:
Let the speed of boat be u mph
let the speed of river be v mph
When boat travel downstream
in that case flow of river will support the speed of boat hence
speed of river will be added to speed of boat
Thus,
speed of boat in downstream = speed of boat + speed of river = u + v
Given
the boat travels at 40 mph downstream
thus,
u + v = 40 -----1
When boat travel upstream
in that case flow of river will oppose the speed of boat hence
speed of river will be subtracted from speed of boat
Thus,
speed of boat in downstream = speed of boat -speed of river = u - v
Given
the boat travels at 30 mph upstream
thus,
u - v = 30 ----2
adding 1 + 2
we have
u + v = 40
+ u - v = 30
2u = 70
u = 70/2 = 35
Thus,
speed of boat is 35 mph
using u = 35 in u + v = 40
we have
35 + v = 40
v = 40 - 35 = 5
Thus, speed of river is 5mph.
What is the equation of the line that is perpendicular to y = -x + 4 and passes through
the point (-1, 3)?
Answer:
Try y=x²+4
Step-by-step explanation:
y=-x+4
when its perpendicular you change the -x to x. When you have a perpendicular equation flip the sign and if fraction flip the fraction as well but there isn't a fraction here so you just change the -x to a +x and then work out the problem like this
y-3=x(x- -1)
y-3=x²+1
+3 +3
__________
y=x²+4
even number less than 12
Answer:
2,4,6,8,10
Step-by-step explanation:
they are even numbers
Answer: 2, 4, 6, 8, 10
Step-by-step explanation:
any of those are even numbers that are less than 12
please can you help. i would really appreciate it
Answer:
The integers that satisfy both inequalities are any number between -4.5 and -12
Step-by-step explanation:
Hope this helps and pls do mark me brainliest if you can:)
Solve the system, by elimination please show all the steps!
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5
Answer:
x = 1 , y = 1 , z = 0
Step-by-step explanation:
Solve the following system:
{-2 x + 2 y + 3 z = 0 | (equation 1)
-2 x - y + z = -3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Subtract equation 1 from equation 2:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x - 3 y - 2 z = -3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Multiply equation 2 by -1:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+3 y + 2 z = 3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Add equation 1 to equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+3 y + 2 z = 3 | (equation 2)
0 x+5 y + 6 z = 5 | (equation 3)
Swap equation 2 with equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+3 y + 2 z = 3 | (equation 3)
Subtract 3/5 × (equation 2) from equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y - (8 z)/5 = 0 | (equation 3)
Multiply equation 3 by 5/8:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y - z = 0 | (equation 3)
Multiply equation 3 by -1:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 6 × (equation 3) from equation 2:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y+0 z = 5 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Divide equation 2 by 5:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 2 × (equation 2) from equation 1:
{-(2 x) + 0 y+3 z = -2 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 3 × (equation 3) from equation 1:
{-(2 x)+0 y+0 z = -2 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Divide equation 1 by -2:
{x+0 y+0 z = 1 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Collect results:
Answer: {x = 1 , y = 1 , z = 0
Answer:
x= 1, y = 1, z= 0
Step-by-step explanation
-2x + 2y + 3z = 0
2x + 3y + 3z = 5
-2x - y + z = -3
2x + 3y + 3z = 5
(solving systems)
5y + 6z = 5
2y + 4z = 2
(rewriting)
z = 0
y = 1
-2x + 2 x 1 + 3 x 0
x=1
Anyone wanna help?please
[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given to points to us are :-
( 3 , -6 )( -1 , -8 )( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
[tex]\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}[/tex]
Here ,
x1 = 3 .x2 = -1.y1 = (-6)y2 = (-8).→ Substituting the respective values ,
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
Hence the distance between two points is 4√5u.
44 kg of tomatoes cost $352. How many
kilograms of tomatoes can you get with
$216?
Answer:
27 tomatoes
Step-by-step explanation:
Answer:
27kg
Step-by-step explanation:
352 divided by 44 equals 8. 216 divided by 8 equals 27. So 27 times 8 equals 216. Therefore 216 dollars will get you 27 kg of tomatoes.
all you need is in the photo
Answer:
slope is -1, y intercept is 5
Step-by-step explanation:
slope formula is y1-y2 over x1-x2
plug in formula
u get the slope is -1
Answers:
Slope = 4
Y intercept = 5
======================================================
Explanation:
Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.
Therefore the slope = rise/run = 4/1 = 4.
You could also use the slope formula m = (y2-y1)/(x2-x1)
---------------
The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.
The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.