Given that:
Cos θ = Sin 2θ
⇛ Cos θ = 2 Sin θ Cos θ
⇛ Cos θ / Cos θ = 2 Sin θ
⇛ 1 = 2 Sin θ
⇛ 1/2 = Sin θ
⇛ Sin θ = 1/2
⇛ Sin θ = Sin 30°
⇛ θ = 30°
Therefore, θ = 30°
Answer :-The value of θ for the given problem is 30°
Check:-
LHS = Cos θ
⇛ Cos 30°
⇛ √3/2
RHS = Sin 2θ
⇛ Sin (2×30°)
⇛ Sin 60°
⇛ √3/2
LHS = RHS is true for θ = 30°
»If you have any doubt, then you can ask me in the comments.
Saima mixes jam, sugar and soft cheese in the ratio 4:1:16 She uses 32 oz of soft cheese. Saima knows that 1 oz is 28.3 grams.
How many grams of jam does Saima need?
Step-by-step explanation:
jam : sugar : cheese = 4 : 1 : 16
that means she uses 4 times more jam than sugar, and 16 times more cheese than sugar (and therefore 4 times more cheese than jam).
so, now we know, she uses 32 oz of cheese.
that is (as we just determined) 4 times more than jam.
therefore, she uses
32/4 = 8 oz of jam.
1 oz = 28.3 grams
so, 8 oz are
8 × 28.3 = 226.4 grams
find the area of the shaded region
Answer:
Step-by-step explanation:
2 rectangles 2.5 x 3.5 and 2 rectangles 2 x 3.5
A = 2(2.5)(3.5) + 2(2.0)(3.5)
A = 7(2.5 + 2.0)
A = 7(4.5)
A = 31.5 cm²
The following statement is from the contract Peter signed with his Homeowner's Association (HOA).
"Overnight parking on community streets is prohibited. For the purpose of this contract, 'overnight' will be defined as the hours between 11:00 p.m. and 4:00 a.m. The HOA will monitor overnight parking not less than once every calendar week with nightly patrols by community security.
"In the event a car is found parked on community streets overnight and that ownership of the offending car can accurately be verified as a community homeowner, the homeowner will receive one (1) written warning asking him or her to correct the situation. A second and third infraction by the same homeowner, whether or not it is with the same car, will result in a monetary fine as permitted by CC&R guidelines and HOA bylaws. Further infractions (past 3) will result in monetary fines in addition to the towing of the car at the homeowner's expense."
Because of the extremely low ground effects and body profile on his racing car, Peter is unable to drive his car off of the street and onto the driveway. He has parked on the street overnight for the past five weeks. He has received one written warning and one monetary fine from the HOA. What consequences should Peter expect after this week's security check?
a.
His car will be towed.
b.
He will receive another monetary fine.
c.
He will receive a monetary fine and his car will be towed.
d.
A "boot" will be place on his car to prevent him from driving it.
Simplify.
3 √ b^2
-.2√x^2
Answer:
[tex]1.3 \sqrt{b {}^{2} } [/tex]
Pull terms out from under the radical, assuming positive real numbers.
[tex]3b[/tex]
[tex]2. - 2 \sqrt{x {}^{2} } [/tex]
Pull terms out from under the radical, assuming positive real numbers.
[tex] - 2x[/tex]
Find x value
[tex] {x}^{3} + {x}^{2} + 8x + 12 = 0[/tex]
??
Changes made to your input should not affect the solution:
Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).
x3+x2-8x-12 is not a perfect cube
Factoring: x3+x2-8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)
Charlie saves $2 for every $9 he earns. Melody saves $4 for
every $12'she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned?
no they are not equivalent
Step-by-step explanation:
due that when you subtract 12 from 4 =8
but when you subtract 9-2=7 and that when Charlie will be losing a dollar and that Melody will have a dollar more
Plssssss help me pls no fake answers and pls no links and pls answer both questions
false for 4.
ture for the 1st one
brianliest me
Answer:
1 True. 2. True
WHAT IS THE INVERSE FUNCTION ANSWER USING STEPS: y=-3/4x-15
Answer:
What is the inverse of f(x)=−3x+5 ?
f ^−1(x)=−3x+5
f ^−1(x)=1/3x−53
f ^−1(x)=−1/3x+53
f ^−1(x)=3x−5
Second question
What is the inverse of the function?
g(x)=−4/3x+2
g−1(x)=4/3x−2
g−1(x)=−4/3x−2
g−1(x)=−3/4x+32
g−1(x)=3/4x+23
You have 2.567 grams of water. What is the volume of water(use correct units)
Answer:
16
Step-by-step explanation:
16 grams
so hard! please help!
Answer:
please take a closer picture. :)
Step-by-step explanation:
Quiz
2² =
4² =
use the method, no calculation
Step-by-step explanation:
2²
= 2 × 2
= 4
▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎
4²
= 4 × 4
= 16
▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎
I Hope This Helpwhat is the relevance of the background of the study in your research paper?
Answer:
The relevance of the background is to give more insight into a topic you are researching. It can provide clarifying information to your reader.
Hope this helped and have a great day,
Ginny
Step-by-step explanation:
what is the domain of the relation below?
Answer:
The domain of a relation is the set of all first coordinates (x-coordinates) of the ordered pairs. The range of a relation is the set of all second coordinates (y-coordinates) of the ordered pairs.Step-by-step explanation:
Answer:
A - {-1, 0, 1, 3}
Step-by-step explanation:
the domain is how far the relation stretches across the x axis. the points here are -1, 0, 1, and 3, so that is the domain
Question 10 of 10 According to this diagram, what is tan 62°? 62 i 7 28° tra OA. A. 15 B. 0 O C. OD D8 O E 17 F
9514 1404 393
Answer:
B. 15/8
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent relation is ...
Tan = Opposite/Adjacent
The side opposite the 62° angle is marked 15.
The side adjacent the 62° angle is marked 8.
Then the tangent ratio for 62° is ...
tan(62°) = 15/8
How do I get a percentage of a number
Answer:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
simplify 5 − 2(2.5 − 6.7)^2
Answer:
-30.28
Step-by-step explanation:
3/2 x -1/9
-5/4 divided by 1 3/7
Show your work please
Answer:
3/2 x -1/9= -1/6
-5/4 divided by 1 3/7=-7/8
Step-by-step explanation:
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?
[1 ft = 0.305m]
$9.20
$2.12
$2.81
$30.16
Answer:
$2.81
Step-by-step explanation:
8 feet = 2.44 meters
2.44 · $1.15 = $2.81
I hope that this helps!!!
Answer:
c. 2.81
Step-by-step explanation:
9:12=15:______
I need the answer pls!
Answer:
15:20
Step-by-step explanation:
We can simplify the ratio to 3:4
after doing that we can multiply both sides by 5 giving us
15:20 as our answer
Or you can cross multiply
9 : 12 = 15 : x
Now we have 9x = 180
divide both sides by 9 and we get
x=20
which would work giving us the ratio of 9 : 12 = 15 : 20
hello! i am doing a practice test for school & i need some help.
Answer:
C IS YOUR ANSWER ,,,,,,,,,,,,,,TICK THAT ANSWER
1) The temperature in Chicago is 42°F and the temperature in
Dayton is 19° cooler. What is the temperature in Dayton?
A. 25°F B. 61°F C. 23°F D. 58°F
answer me......
...................
......
........
...........
Answer:
Step-by-step explanation:
Okay! What times 9 is 90? 10!
what times 8 is 72? 9!
what times 7 is 56? 8
what times 6 is 42? 7!
what times 5 is 30? 6!
what times 4 is 20? 5!
what times 3 is 12? 4!
Do you see the pattern?
9=90
8=72
7=56
6=42
5=30
4=20
3=12
2=6
1=2
HOPE THIS HELPPEDD :3
What is the probability that a point chosen at random in the rectangle is also in the blue triangle?
A triangle inside of a rectangle. The triangle is shaded and has a base of 5 inches and height of 4 inches. The rectangle is not shaded and has a height of 4 inches and length of 5 inches.
One-half
Four-fifths
1
2Simplify:
Answer:
1/2
Step-by-step explanation:
I did the quiz on Edge 2021 and got it right with 100%.
Please give me brainliest!
Which of the following is a solution to the given equation?
y=-3x - 7
A)
(-2,-1)
B)
(-1,-10)
C
(4,-5)
D
(3,-2)
Answer: A
Step-by-step explanation:
By replacing in the given equation:
y=-3x-7
y=-3(-2)-7
y=6-7
y=-1
But for choices B, C and D the given x values don't fit with the images.
Donna bought a notebook for $3.50 and then spent half of her money for a textbook. Next she bought sheet music for $4.00 and then spent half of the remaining money on a calculator. She had $8.00 left. How much money did she start with?
Answer:
$43.50
Step-by-step explanation:
(Work out backward to find the answer)
Remaining money => $8
=> 8 x 2 = 16
=> 16 + 4 = 20
=> 20 x 2 = 40
=> 40 + 3.50 = 43.50
= $ 43.50
Hence, she had $ 43.50 at the beginning.
In the expression 7x +8z + 10+ y
What is the coefficient of x?___
What is the coefficient of z? ___
What is the coefficient of y? ___
What is the constant? ____
Answer:
7
8
1
10
Step-by-step explanation:
the coefficient of x you look at x the number associated with x is the coefficient.same applies to z y and constant number independent of any letter
The integers set included in the interval -45 x <3 is {-4,-3,-2,-1,0,1,2,3}.
True or False
Answer:
False
Step-by-step explanation:
-45x < 3
-x < 3/45
-x < 1/15 Multiply by -1 because x is negative and remember to
change all parts to its opposite.
Therefore x > -1/15
show that √20 = 2√5
hence , 2√5 = √20
What is the smallest whole number that is a multiple of 5, 9, and 12?
Answer:180
Step-by-step explanation:
you start by finding the prime factorization of the number
5=1*5
9=3*3
12=2*2*3
the shortest way to find the factors is to find is most of them like example, at max, there are 2 two's, 2 three's and 1 five then you multiply them all together
4*9*5=180 and that's the answer
Answer:
180
Step-by-step explanation:
3
Which number line shows a number equivalent to
1 Sume
Choose 1 answer:
ctions
++
wat tract
>
2
0
1
A
U
HHH
iz 1
X 8 min
>
2
0
1
N
ctions
FE
4HHHH
0
>
2
1
iz 2
6 3 mor
Answer: B
Step-by-step explanation:
2/3 means 1.5