Answer:
cos(θ - φ) is -240/289
Step-by-step explanation:
The given parameters are;
The location of θ = Quadrant III
The location of φ = Quadrant I
cos(θ) = -8/17
cos(φ) = 15/17
By trigonometric identities, we have;
cos(θ - φ) = cos(θ)·cos(φ) - sin(θ)·sin(φ)
Given that 'θ' is in quadrant III, we have;
sin(θ) is negative
By Pythagoras' theorem, we have;
∴ sin(θ) = -√(17²- 8²)/17 = -15/17
Whereby 'φ' is in quadrant I, by Pythagoras' theorem, we have;
sin(φ) = √(17² - 15²)/17 = 8/17
∴ cos(θ - φ) = (-8/17) × (15/17) + (-15/17) × (8/17) = -240/289 = -0.83044982699
I need help on this question (^～^;)ゞ
Answer:
21) x = 0
23) x = 7
Step-by-step explanation:
In a parallelogram, the opposite sides are congruent. Using this fact, we can create equations for both problems.
21)
[tex]2x + 18 = 18[/tex]
Subtract 18.
[tex]2x = 0[/tex]
Divide by 2.
[tex]x = 0[/tex]
23)
[tex]2x - 3 = 11[/tex]
Add 3.
[tex]2x = 14[/tex]
Divide by 2.
[tex]x = 7[/tex]
I'LL GIVE BRAINLIEST TO ONE OF THE FIRST 2 PEOPLE TO ANSWER. DON'T JUST PUT ANYTHING OR YOU WON'T GET BRAINLIEST
Determine whether the ordered pair is a solution of the linear equation. Provide your check step.
-9 - 5y = 4x ; (-6,3)
Answer:
what is ; for that messes me up i dont know why you put that
Step-by-step explanation:
The number line represents 1 unit. What is the distance from 0 to point C on the number line?
A) 5/2 units
B) 4/5 units
C) 3/10 units D) 4/10
write an expression in standard form that Is equivalent to 2 + 3(x - 4)
Answer:
2+3=5(x-4) ,
=5(x-4)
=5x-4
=1x
solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
[tex]\displaystyle x \approx 11.1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 42°
Adjacent Leg = x
Hypotenuse = 15
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos42^\circ = \frac{x}{15}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 15cos42^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 15cos42^\circ[/tex]Evaluate: [tex]\displaystyle x = 11.1472[/tex]Round: [tex]\displaystyle x \approx 11.1[/tex]There are 420 students at Virginia Middle School. For every 7 students, 4 of them are girls. How many girls are there at Virginia Middle School?
Answer:60
Step-by-step explanation:
Match the situation with the equation which best fits.
Andre's school has 20 clubs, which is five times as many as his cousin's school. His cousin's school has x clubs.
A. 20x = 5
B. 5x = 20
C. x = 20 + 5
D. x + 20 = 5
Answer:
answer is
Step-by-step explanation:
answer no B
mark me
If correct I’ll give brainlist
Answer:
should look like this a bit
Step-by-step explanation:
heres another pov
On Monday, a local hamburger shop sold a combined total of 592 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answer:
148
Step-by-step explanation:
148 x 3 = 444
444 + 148 = 592
(っ◔◡◔)っ ♥ Hope It Helps ♥
148 hamburgers were sold on Monday.
Let x be the number of hamburgers sold.
Since the number of cheeseburgers sold was three times the number of hamburgers sold, the number of cheeseburgers sold can be represented as 3x.
The total number of hamburgers and cheeseburgers sold was 592. So, we can set up the equation:
x + 3x = 592
Combine like terms:
4x = 592
Now, solve for x by dividing both sides by 4:
x = 592 / 4
x = 148
Therefore, 148 hamburgers were sold on Monday.
To know more about hamburgers:
https://brainly.com/question/11454874
#SPJ2
Which is 6log + 4log (x+6) written as a single logarithm?
Answer:
B
Step-by-step explanation:
6log x + 4log (x+6) = log [tex]x^{6}[/tex] + log [tex](x + 6)^{4}[/tex] = log [tex]x^{6}[/tex][tex](x + 6)^{4}[/tex]
BRAINLY TO WHOEVER CAN HELP
Answer:
B: 1/3
Step-by-step explanation:
The original shape is getting bigger so it must be a whole number greater than 1. And the shape is still there so it can't be 0. The only other answer is 3.
HELPPPPPPPPPP!!!!!!!!!
Answer:
100 hours
Step-by-step explanation:
can i get brainlist
Answer:
100
Step-by-step explanation:
80-1800
90-1900
100-2000
does anyone know the answer for this problem :P
Answer:
A: 6x^2 + 19x + 3
Step-by-step explanation:
6x + 1 (x +3)
use the foil method so first do 6x(x) and you get 6x^2 then 6x(3) + x(1) and you get the 19x then you just do 3(1) and you get your answer which as stated above is 6z^2 + 19x + 3
Which of the following is the correct order when multiplying two binomials?
Inner, first, last, outer
First, outer, inner, last
Outer, last, first, inner
Last, inner, outer, first
Please help.
Answer:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial.
Step-by-step explanation:
The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.
What is binomial?The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are two separate terms.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Let the two expressions are (a + b) and (c + d). Then the multiplication of the expressions will be given as,
⇒ (a + b) x (c + d)
⇒ a(c + d) + b(c + d)
⇒ ac + ad + bc + bd
The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.
More about the binomial expansion link is given below.
https://brainly.com/question/12249986
#SPJ2
what is m∠ BAC???????
Answer:
36 degrees
Step-by-step explanation:
I’m pretty sure that’s it
Moosa's sister is six years younger than 3 times his age. The sum of their ages is 30. How old is Moosa?
Suppose Moosa is ( x ) years old ,
Thus Moosa's sister is ( 3x - 6 ) years old .
The sum of their ages is 30 :
( x ) + ( 3x - 6 ) = 30 ==》 4x - 6 = 30
==》 4x = 36
==》 x = 9
So Moosa is 9 years old .
translation math
pls dont give me any link
Answer: C
Step-by-step explanation:
Find the area of the shape
Answer:28.5
Step-by-step explanation:
It's about 5 AM, haven't slept in 28 hours, need help.
Answer:
2nd option
Step-by-step explanation:
8[tex]x^{4}[/tex] - 4x³ - x + 2 - (2[tex]x^{4}[/tex] - 8x² - x + 10) ← distribute by - 1
= 8[tex]x^{4}[/tex] - 4x³ - x + 2 - 2[tex]x^{4}[/tex] + 8x² + x - 10 ← collect like terms
= 6[tex]x^{4}[/tex] - 4x³ + 8x² - 8
Please help me with this Algebra 1 question!
Answer:
Step-by-step explanation:
2.9
1.9
-1.6
Kelby has several pets. She has B birds, C cats, and F frogs.
The expression B + (C+F) represents the total number of pets Kelby has.
What does C + F represent in this context?
Choose 1 answer:
The total number of cold blooded pets
B
The total number of warm-blooded pets
The total number of pets with 2 legs
D
The total number of pets with 4 legs
Cuantas cifras se emplean para numerar las 48 paginas de una revista?
Answer:
Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.
Step-by-step explanation:
Solve the equation. 12x+3=51
[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]
Answer:
= 4
Step-by-step explanation:
1 2 + 3 = 5 1
1 2 + 3 -3 = 5 1 − 3
i hope this helps<3
:)
Finit set:
1+2+3+........+25=??
Answer:
Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.
In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.
The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).
Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.
Step-by-step explanation:
1+2+3+4+5+6..........23+24+25=325
can someone please help me on numbers 5-10 and please show and explain your work HELP THIS IS DUE SOON thxs uwu
Answer:
hi bri
Step-by-step explanation:
Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover?
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex]I \: \: Think \: \: The \: \: Answer \: \: Is \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: 392 \: }}}}}}[/tex]
Answer:
2.) Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover? *
Step-by-step explanation:
Watson has 4 yards of fabric. He would like to cut it into pieces measuring 2/5 of a yard. How many pieces will Watson be able to cut? *
Answer:
10
Step-by-step explanation:
2/5 yard = 0.4 yard each piece
4 / 0.4 = 10
Jose wants to pay off his credit card balances within 18 months. He is trying to decide if he should use his $1,750 in
savings to pay off part of the balances or if he should transfer the balances to a new card with a low introductory
rate. The new credit card has an introductory rate of 8% but charges a balance transfer fee of $60 for each balance
transfer. Jose decides to pay off Credit Card B using his savings and then transfer the balance of Card A to the new
card. Which of the following options shows the amount of Jose's new monthly payment?
Credit Card A: $1,154
Credit Card B $1,469
A. $90.43
B. $68.25
C. $71 80
D. $75.34
Answer:
ANSWER IS C: 71.80
Step-by-step explanation:
hope this helps :D you got this!!
The amount that corresponds to the new monthly payment of Jose is approximately $75.34. Hence, option D is correct.
What is use of credit card ?Credit cards are a widely used financial tool that allow individuals to make purchases on credit. The main use of a credit card is to allow the cardholder to borrow money from the card issuer
If Jose decides to pay off Credit Card B using his savings of $1,750, he will have a remaining balance of $1,154 on Credit Card A.
If he transfers the balance of Credit Card A to the new card with a low introductory rate of 8%, he will incur a balance transfer fee of $60.
The total balance transferred = $1,154 + $60 = $1,214.
To determine his new monthly payment, we need to calculate the monthly interest rate on the new card.
At an annual interest rate of 8%, the monthly interest rate is :
8% / 12 = 0.67%.
Using an online loan calculator or spreadsheet, we can calculate that the monthly payment required to pay off a balance of $1,214 in 18 months at a monthly interest rate of 0.67% is $75.34 (rounded to the nearest cent).
Therefore, the answer is D. $75.34, which represents Jose's new monthly payment.
Find more on introductory rate :
https://brainly.com/question/14184570
#SPJ7
Roberto deposited $700 into a savings account for 2 years. He forgot what the interest rate was on his account but he got a statement saying he earned $63 in interest. Use the simple interest formula to determine his interest rate for this account. r= _____%
Answer:
r = 4.5%
Step-by-step explanation:
I = Prt
$63 = $700 x r x 2
$63 = 1400r
r = 0.045
r = 4.5%
Please mark as brainliest
Hope this helps :)
Someone help me solve for x.
Answer:
y=6
Step-by-step explanation:
Thats my answer hope it helps