Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then sin²x = 1 - cos²x
Consider the left side
sin²a - sin²b
= (1 - cos²a) - (1 - cos²b)
= 1 - cos²a - 1 + cos²b
= cos²b - cos²a
= right side , thus verified
The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
will give 100 points for answer it'd better be correct though
Answer:
Step-by-step explanation:
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Answer:
B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:
I just did the test and got this correct.
(please mark brainliest)
Have a good day!
For values of x when x + 0, which number property is shown below?
17x () = 172
O associative
0 commutative
O multiplicative identity
division property of zero
how do u add really big fractions
Answer:
It depends on your situation
Step-by-step explanation:
If you have a mixed fraction, for example: 5 23/3000 + 101 777/3000 you would have to make them irrational numbers and add them. Like so: 3000x5 = 15000. 15000+23 = 15023. 15023/3000. Same process but this time you get 303777/3000. You then add the numerators (top numbers) and you'll get the sum over 3000.
For regular fractions you simply add the numerators. If your denominators are not the same, you need to find a common term that both can fit into. If the denominators are not the same, no matter the size of the fraction, you cannot add it.
402 = 2 x 3 x ____
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
67
Step-by-step explanation:
2x3=6
402/6=67
2x3x67=402
hope this helped:)
2. Two rectangular fields with identical shapes and areas are to be fenced side by side. The total area enclosed is 8mi^2 and the perimeter for all the fencing is 16 miles. Find the possible dimensions of one of the fields (2 possible answers).
Step-by-step explanation:
Let length is x and breadth is y.
The formula for the area and the perimeter of a rectangle is given by :
A = xy
P = 2(x+y)
Here, A = 8 mi² and P = 16 miles
Putting all the values,
xy = 8
y=8/x ......(1)
2(x+y) = 16
x+y = 8 .....(2)
Put equation (2) in equation (1) as follows :
[tex]x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0[/tex]
When we solve, we get :
x = 6.82 miles, 1.17 miles
Put the value of x in equation (1)
When x = 6.82 miles,
y = 8/6.82
y = 1.17 miles
When x = 1.17 miles,
y = 8/1.17
y = 6.82 miles
Hence, the dimension of the field is 6.82 miles and 1.17 miles.
PLEASE I NEED HELP
Enter in the missing numbers to create equivalent ratios.
Answer:
The table with the missing number
1 5
2 10
5 25
10 50
Step-by-step explanation:
The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers
From the given table, we will use the first row in all cases (a = 1 and c = 5)
∵ a = 1 and b = 2
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 2 × 5
∴ d = 10
∴ The first missing is 10
∵ a = 1
∵ c = 5 and d = 25
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]
→ By using the cross multiplication
∵ 5 × b = 1 × 25
∴ 5b = 25
→ Divide both sides by 5
∴ b = 5
∴ The second missing is 5
∵ a = 1 and b = 10
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 10 × 5
∴ d = 50
∴ The third missing is 50
∴ The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]
The table with the missing numbers
1 5
2 10
5 25
10 50
3x² + 7%-6
Please help me solve it!!
Answer:it’s factorable
Step-by-step explanation:
I mean I don’t really hve a method to this but u could use the ac method as a is greater than 1. I just factorise in my head automatically.
Answer:
(x + 3)(3x - 2)
Step-by-step explanation:
Multiply the 3 and -6 together to get -18 . What two numbers add to 7 and multiply to -18? 9 and -2
So we can now split the middle term like this...
= 3x^2 + 9x - 2x - 6
Now factor a 3x out of the first two terms.
= 3x(x + 3) - 2x - 6
Now factor a -2 out of the last two terms.
= 3x(x + 3) - 2(x + 3)
Now factor a (x + 3) out of both remaining terms.
= (x + 3)(3x - 2)
In a company 70% of the workers are men if 1,080 of the workers aren't mentioned
Answer:
is there any more details?
Step-by-step explanation:
Answer:
any more details please?
If three pounds of apples cost $5.25, how much will 10 pounds cost?
show work!!!!
please help
Answer:
10 pounds will cost $17.50
Step-by-step explanation:
(5.25 / 3) * 10 = x
1.75 * 10 = x
17.50 = x
Answer:
10 pounds of apples will cost $17.50.
Step-by-step explanation:
First, we need to find the unit rate.
$5.25/3 = $1.75
Now we need to multiply $1.75 by 10 pounds.
$1.75 × 10 = $17.50
GivenG(x)=4X+4Find G(4)
Answer:
g(4) = 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = 4x + 4
g(4) is x = 4
Step 2: Evaluate
Substitute in x: g(4) = 4(4) + 4Multiply: g(4) = 16 + 4Add: g(4) = 20I need help ASAP please
don't troll
with work
Answer:
[tex]y = 50x[/tex]
Step-by-step explanation:
Let's start off by trying to find the slope/gradient (commonly denoted as [tex]m[/tex]) of this function
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
This means we divide the change in y over the change in x
Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)
[tex]m = \frac{200 - 150}{4 - 3}\\\\m = 50[/tex]
Now we have this:
[tex]y = 50x+b[/tex]
Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:
[tex]100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0[/tex]
Since b is 0, we don't have to write it on our equation, meaning that our final equation is just
[tex]y = 50x[/tex]
To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:
[tex]y = 50\cdot 4\\y = 200[/tex]
Just like it is on the graph :)
Good luck!
if x2=18x+y and y2=18y+x, then find the value of root
Answer:
[tex]\sqrt{x^2+y^2+1}=18[/tex]
Step-by-step explanation:
We are given:
[tex]x^2=18x+y\qquad\qquad[1][/tex]
[tex]y^2=18y+x\qquad\qquad[2][/tex]
Subtracting [1] and [2]:
[tex]x^2-y^2=18x+y-(18y+x)[/tex]
Operating:
[tex]x^2-y^2=18x+y-18y-x[/tex]
Recall:
[tex]x^2-y^2=(x-y)(x+y)[/tex]
Substituting:
[tex](x-y)(x+y)=18x+y-18y-x[/tex]
Rearranging:
[tex](x-y)(x+y)=18x-18y-(x-y)[/tex]
[tex](x-y)(x+y)=18(x-y)-(x-y)[/tex]
Dividing by x-y (recall x≠y):
[tex]x+y=18-1=17[/tex]
[tex]x+y=17\qquad[3][/tex]
Now we add [1] and [2]:
[tex]x^2+y^2=18x+y+18y+x[/tex]
Rearranging:
[tex]x^2+y^2=18x+18y+x+y[/tex]
[tex]x^2+y^2=18(x+y)+(x+y)[/tex]
[tex]x^2+y^2=19(x+y)[/tex]
Substituting from [3]
[tex]x^2+y^2=19*17=323[/tex]
Adding 1:
[tex]x^2+y^2+1=324[/tex]
Taking the square root:
[tex]\sqrt{x^2+y^2+1}=\sqrt{324}=18[/tex]
Thus:
[tex]\mathbf{\sqrt{x^2+y^2+1}=18}[/tex]
I had $3
My ma gave me$10
My uncle n auntie gave me $20
My grandpa gave me $100
I still had $6 more
How much did i have before this??
Answer:
133 bucks can i get brainliest
Step-by-step explanation:
The distance between Dallas and San Antonio is on a map is 13.7 inches. If 2 inches = 40 miles, what is the distance, in miles, from Dallas to San Antonio?
Answer:
Distance= 308 miles
Step-by-step explanation:
Giving the following information:
The distance between Dallas and San Antonio is on a map is 13.7 inches.
2 inches = 40 miles
To calculate the distance between Dallas and San Antonio, we will use the following formula:
Distance= (12/2)*40 + 1.7*40
Distance= 308 miles
12/2= first 12 inches
Go on my page ! A lot of chances for brainliest
Answer:
A
Step-by-step explanation:
Answer:
A) y ≥ 350x + 17,000
Step-by-step explanation:
If 17,000 is the original, you won't multiply or divide it by x. But since it goes up by at least 350 each year you will multiply by x.
So to set it up, you will have 350x + 17,000, and since it's at least, you will have a great than or equal to sign (≥)
y ≥ 350x + 17,000
i need help, can you please help me?
Answer:
Y= 2/4x + -3
Step-by-step explanation:
If Mrs. Bugarin has 30 oranges and 20 are rotten, what percent of oranges are not rotten?
Answer:
6 percent
Step-by-step explanation:
i believe this is the answer
Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
∠ JHF = 69°
Step-by-step explanation:
Since HJ is a midline then it is parallel to EG , thus
∠ JHF and ∠ GEH are corresponding and congruent, then
7x + 62 = 79 - 10x ( add 10x to both sides )
17x + 62 = 79 ( subtract 62 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Thus
∠ JHF = 7x + 62 = 7(1) + 62 = 7 + 62 = 69°
Answer:
7x + 62 = 180
7x= 180 - 62
x = 118 / 7
x = 16
7 × x = 7 × 16
112 + 62 = 174
Step-by-step explanation:
HOPE ITS CORRECT..
Please look at the picture I’m timed !!
Answer:
[tex]k = 2.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\frac{7.6}{2} = \frac{9.5}{k}[/tex]
Step 2: Solve for k
Cross-multiply: [tex]7.6k = 2(9.5)[/tex]Multiply: [tex]7.6k = 19[/tex]Isolate k: [tex]k = 2.5[/tex]Answer:
The answer is K+2.5
Step-by-step explanation:
which system of inequalities is shown in the graph?
A)
[tex]y \leqslant 5 \: \: and \: \: y \geqslant 3x - 2[/tex]
B)
[tex]y > 5 \: \: and \: \: y < 2x - 3[/tex]
C)
[tex]y > 5 \: \: and \: \: y \geqslant 2x - 3[/tex]
D)
[tex]y \leqslant 5 \: \: and \: \: y > 3x - 2[/tex]
Answer:
sry I can't understand how to do this question
A meerkat was digging a new path to get to his home 8 ft below the surface. He hit a stump and dug 15 ft lower so the roots would not be in his path. What elevation is the meerkat?
Answer:
The elevation is [tex]32.3^{o}[/tex].
Step-by-step explanation:
The home of the meerkat is 8 feet below the surface. So that the root of the stump would not be in his path, he dug 15 feet lower.
This can be represented by the sides of a right angled triangle. Applying the appropriate trigonometric function, let the elevation be represented by θ.
Then,
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{8}{15}[/tex]
Sin θ = 0.5333
⇒ θ = [tex]Sin^{-1}[/tex] 0.5333
= 32.287
θ = [tex]32.3^{o}[/tex]
The elevation of the meerkat is [tex]32.3^{o}[/tex].
Given f(x) = 6(1 − x), what is the value of f(−7)?
Answer:
[tex]{:}\longrightarrow\tt f (x)=6 (1-x)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1-(-7))[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1+7)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6(8)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=48 [/tex]
[tex]\therefore\sf f (-7)=48 [/tex]
Answer:
:⟶f(x)=6(1−x)
{:}\longrightarrow\tt f (-7)=6 (1-(-7)):⟶f(−7)=6(1−(−7))
{:}\longrightarrow\tt f (-7)=6 (1+7):⟶f(−7)=6(1+7)
{:}\longrightarrow\tt f (-7)=6(8):⟶f(−7)=6(8)
{:}\longrightarrow\tt f (-7)=48:⟶f(−7)=48
\therefore\sf f (-7)=48∴f(−7)=48
1
What is the solution to the system of linear equations graphed here?
A (0,2)
B (-2,-4)
C) No Solution
D) (-2,2)
Answer:
The solution is (-2,2)
Answer:
A) (0,2)
Step-by-step explanation:
0.2A^{1-1}
0.2A^{0} .
0.2\times 1
=0.2
Write the expression as a single multiplication sentence without
parentheses.
11 × (15 + 5)
Answer:
11x20
Step-by-step explanation:
15=5 equals 20 so 11x20 is 220
I'll give brainly if right and pls do an explanation
Answer: $280
Step-by-step explanation:
92.5-36.5 = 56
56x 10 = 560
1/2 x 560 = 280
Benny spent $280 to go to summer camp.
I hope this helps :)
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.
Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction
When she checked the answer by estimating, it did not make sense. What error did Wen make?
Answer:
-3 Farenheit change per hour
She didnt divide properly
Step-by-step explanation:
PLZ MARK BRAINLIEST.
Answer:
C
Step-by-step explanation:
Miranda is selling ice cream at the park to help raise money for the animal shelter. The amount of money she raises for the shelter (y) is proportional to the number of ice cream cones (x) she sells. If Miranda wants to raise $250 for the shelter, how many ice cream cones would she need to sell?
Answer:
The question is lacking the detail of the price of the ice cream cones.
Assuming the ice cream cones cost $2 each then she would have to sell;
= 250/2
= 125 ice cream cones
If she sells 125 ice cream cones, she will be able to raise $250 if the cones are sold at $2 each.
What did the pig say when the farmer pulled it by the tail
Answer:
Without me you will surely die. Too much of me and like a pig you may lie. What am I?
Step-by-step explanation:
Oink Oink That ain't my tail im a male
HELP NEED FAST!!!!!!
Which graph shows a negative slope and a positive y-intercept?
Answer:
the second one on the top right
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
You can tell by where the line crosses the y-intercept as a positive, and the direction in which the line is going tells you it has a negative slope
Sally paid $2.40 for 4 ounces of cinnamon. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound
Answer:
$12.80 per pound
Step-by-step explanation:
Since there are 16 ounces in 1 pound, we multiply $0.80 by 16 ounces to find how much cinnamon costs per pound. The answer is $12.80.
Hope this helped, Have a Wonderful Day!!
Answer:
$9.60 per pound
Step-by-step explanation:
- 4 ounces = 2.40 each
- 2.40 x 4 (4 because 4x4 is 16 and there are 16 ounces in a pound)
= $9.60