Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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Poru
1. It is a relationship that compares two or more quantities
A. quantity
B ratio
C. fraction
D. colon
b. A 50A by 35ft residential
garden produces 1975
servings of food over the
course of a year. How many
servings of food per square
foot is this?
Answer:
1.13 food per square feet
Step-by-step explanation:
Given
Dimension: 50ft by 35ft
Servings = 1975
Required
Determine the amount per servings
First, we calculate the area.
[tex]Area = 50ft * 35ft[/tex]
[tex]Area = 1750ft^2[/tex]
Next, we calculate the amount per square foot.
This is:
[tex]Rate = \frac{Serivings}{Area}[/tex]
This gives;
[tex]Rate = \frac{1975}{1750}[/tex]
[tex]Rate = 1.13[/tex]
18 Which expression below is equivalent to -3x + 5(x + 2)? Circle the
correct answer.
A 2x + 2
B.
-x+ 2
C 2x + 10
D
- 8x + 10
Kaitlin chose A as the correct answer. How did she get that answer?
Answer:
C
Step-by-step explanation:
First, use the distributive property to open the parentheses:
-3x + 5x + 10
2x + 10
The correct answer is C
Kaitlin forgot to use the distributive property on both the x and 2.
Hope this helps!
Find the missing length in the right triangle.
Answer:
10 ft
Step-by-step explanation:
By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.
[tex]6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?[/tex]
Answer: 10ft
Step-by-step explanation:
Pythagorean Theorem- In a right triangle, a²+b²=c² where: (image attached)
a=6ft ; b=8ft
6ft²= 36ft ; 8ft²= 64ft
36+64=100ft
√100= 10ft
what is 9+10x6x[7x7]+8x6x6x6x7x8
Answer:
99717
Step-by-step explanation:
Use PEMDAS
P stands for parenthesis so you do 7 x 7 first. It equals 49. E stands for exponents but there aren't no exponents. M stands for multiplying so you multiply 10 x 6 = 60. Then 60 x 49 = 2940. 8 x 6 = 48. 48 times 6 is 288. 288 x 6 is 1728. 1728 x 7 is 12096. 12096 x 8 is 96768. The A in PEMDAS is addition. 9+2940 equals 2949. 2949 + 96768 = 99717.
After two six-sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
0.222
0.139
0.167
0.083
Answer:
0.222
Step-by-step explanation:
out of 36 outcomes you have 8 possible outcomes for a '4' or '6':
1,5
5,1
3,3
2,4
4,2
2,2
1,3
3,1
8/36 = 2/9 = .2 repeating
The probability that the dice faces add up to either 4 or 6 is 0.222.
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Here, After two six sided dice are rolled,
Hence, Total outcomes = 36
So, Probability of getting sum 4 that is, {(1, 3), (2, 2), (3, 1)};
P = 3/36
And, Probability of getting sum 6 = 5/36
Hence, Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36
= 8/36
= 2/9
= 0.222
Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.
Learn more about Probability from:
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to find the value of r, Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). How could this help Stephen reason the value of r? Explain your reasoning.
PLZ HELP ASAP
Answer: See explanation
Step-by-step explanation:
We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.
In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).
Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:
r-6 = 9
r = 9 + 6
r = 15
Check: 3r - 18
3(15) - 18 = 45 - 18 = 27
5y+3y????????????????????
Answer:
8y
Step-by-step explanation:
It's really simple! Because both of the variables are the same, You can just add it!
Hope this helps ^^
Mr. Morales owns a tour bus company and just received the news that fuel prices are going to increase by 125% it is currently $3.40 per gallon what will the cost per cost per gallon after the increase
Answer:
Step-by-step explanation:
Your answer
Let me think. 125 %,,,. So 1.25* 3.4= 4.25
New price = 7.65
Mark it as Brainlist answer. Follow me.
what is the prudct of 7\9 and 6
Answer:
378
Step-by-step explanation:
9 × 7 × 6 = 378
pls mark brainliest, if not, its ok :)
Answer:
14/3, or 4.6^bar
Step-by-step explanation:
first you'd just divide 7 by 9, resulting in [tex]\frac{7}{9}[/tex], or 0.7^bar.
Then you'd multiply either by 6, resulting in the answers above. Fractions are easier than infinite numbers, so if you're able to do that, I'd suggest you do so.
Hope this helped!
Find the Area Please
Find tan e
53
45
8
28
A. B.
Ο Ο
D.
< PREVIOUS
TAN: 45/28
SIN: 45/53
COS: 28/53
sin(x°) = opposite/hypotenuse
cos(x°) = adjacent/hypotenuse
tan(x°) = opposite/adjacent
x is any degree measure.
Hence option C (45/28) is correct
What are trigonometric rations?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.
How to solve ?
Given θ
∴tan θ=[tex]\frac{Perpendicular}{Base}[/tex]
=45/28
= option c
Hence option C (45/28) is correct
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A quadrilateral had two angles thst measure 260degrees amd 50 degrees. The other two angles are in a ratio of 2:3. What are the measures of those two angles.
Step-by-step explanation:
Here's another solution.
360-275-20=65
ratio 3:10
3x+10x=65
13x=65
x=5
5*3=15° and 5*10=50°
15° and 50° are the other two angles
WILL GIVE BRAINLIEST!!!!
3. The nth term of a Sequence is given by an =
n/n+2
If the Domain of the Sequence is {1,2,3,4,5} choose the correct range of the Sequence
Answer:
answer b :) i hope this helps
a Toyota Yaris goes 15 km on one litre of petrol how much petrol will it need to get to paga from bawku,120km
Answer:
8 litre
Step-by-step explanation:
very simple 120÷15=8
hope it helps you
please mark me as brainlist
The question below give me used to determine h, The high in feet of a model rocket t seconds after it is launched from a roof that is 48 feet in height.
H=-16t^2+128t+48
Which equation reveals the maximum height reached by the model rocket?
Choices/answers^^
Answer: the answer is B.
Step-by-step explanation:
The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
What is Quadratic equation?
An equation of order 2 in highest variable is called a Quadratic equation.
Given that;
The equation is,
H = -16t² + 128t + 48
Now, The equation which reveals the maximum height reached by the model rocket is find as;
H = -16t² + 128t + 48
h = -16(t² + 8t) + 48
h = -16 (t² + 8t) + 256 - 256 + 48
h = -16 (t² + 8t + 16) + 256 + 48
h = -16 (t + 4)² + 304
Thus, The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
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Bags of sugar come in 3 sizes.
Small bag: A 175 g bag costs 55p.
Medium bag: A 525 g bag costs £1.76.
Large bag: A 1.15 kg bag costs £3.51.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Answer:
The cost per gram for each bag is:
Small bag: 0.00314 £
Medium bag: 0.00335 £
Large bag: 0.00305 £
Step-by-step explanation:
Small bag:
If 175 g cost 0.55 £, 1 g will be:
[tex] \frac{1g*0.55 \£}{175\: g} = 0.00314 \£[/tex]
Medium bag:
If 525 g cost £ 1.76, 1g will be:
[tex] \frac{1g*1.76 \£}{525\: g} = 0.00335 \£[/tex]
Large bag:
If 1150 g cost £ 3.51, 1g will be:
[tex] \frac{1g*3.51 \£}{1150\: g} = 0.00305 \£[/tex]
I hope it helps you!
A painter leans a ladder up against a wall. The ladder is 25 feet long and the wall is 15 feet high. How far from the wall is the base of the ladder?
Answer:
12 feet
Step-by-step explanation:
The ladder is 12 feet up the wall.
The ladder forms a right triangle with the wall and the ground. You want to use Pythagorean theorem to solve the problem. a2+b2 = c2
Use the Pythagorean Theorem (a2+b2=c2) where b=9 and c=15. Solve for a.
(hope this helps can i plz have brainlist :D hehe)
Match the following.
1. equilateral triangle
2. rectangle
3. circle circumference
4. trapezoid
5. parallelogram
6. triangle
7. regular polygon
8. circle area
1. A = 1/4s squared, square root of 3
2. A = bh
3. A = pi(r) squared
4. A = 1/2 h (b1+ b2)
5. C = pi(d)
6. A = base x altitude
7. A = 1/2(ap)
8. A = 1/2(bh)
- regular polygon
- trapezoid
- rectangle
- parallelogram
- circle circumference
- equilateral triangle
- circle area
Answer:
Answers are below.
Step-by-step explanation:
1. Equilateral triangle - A = 1/4 s^2 √3
2. Rectangle - A = bh
3. Circle circumference - C = πd
4. Trapezoid - A = 1/2 h (b1 + b2)
5. Parallelogram - A = base x altitude
6. Triangle - A = 1/2 bh
7. Regular polygon - A = 1/2 ap
8. Circle area - A = πr^2
Hope this helps.
Heidi’s older sister needs to take either Chemistry (C), Geometry (G), or Physics (P) this year. She can take the class during any one of six periods (1 through 6). Is there more than one way to draw a tree diagram to model this situation? Explain.
Answer:
Yes. You can make a tree diagram with each subject at the top and the periods as the branches or with the periods at the top and each subject as a branch. Both ways provide the same number of outcomes, 18
Step-by-step explanation:
No, there is only one way to draw a tree diagram to model this situation.
What is Combination?An arrangement of objects where the order in which the objects are selected does not matter.
No, there is only one way to draw a tree diagram to model this situation. The reason for this is that the choices for the classes and periods are mutually exclusive and exhaustive.
Starting with the first branch, there are three possible classes (C, G, or P) that the sister can take.
From each of these branches, there are six possible periods (1 through 6) that the sister can take the class.
Therefore, the tree diagram will have 3 branches at the top level, each with 6 branches at the next level, for a total of 18 possible outcomes.
If we try to draw a different tree diagram, we will end up with the same possible outcomes, just with a different arrangement of the branches.
Hence, there is only one way to draw a tree diagram to model this situation.
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There are 6 thirds in 2 wholes. How many thirds are there in 6 wholes?
Answer:
there's 18 thirds in 6 wholes
find the value of x.
Answer:
x = 120 degress
Step-by-step explanation:
I can help with more, I have the answers.
What is the equation, in point-slope form, of the line passing through the point (5, -3) with a slope of 1/7?
y + 3 = (x - 5)
y - 3 = (x + 5)
y - 3 = 7(x + 5)
y + 3 = 7(x - 5)
Answer:
Step-by-step explanation:
None of the choices has a slope of 1/7
I NEED THE ANSWERS PLZ
Answer:
1. 32
2. 4.7
3. 3
Step-by-step explanation:
4*8=32
6.5-1.8= 4.7
18/6=3 or 18 divided by 6 = 3
b) A triangle-based prism
12.7 cm
8 cm
9 cm
9 cm
Volume:
Surface Area:
What is the volume and surface area
Answer:
Step-by-step explanation:
9²+9²=162
√162 ≈12.7
so base is a right angled triangle with sides 12.7,9,9
area of base and top=2×1/2×9×9=81 cm²
area of sides=(9+9+12.7)×8
=30.7×8=245.6 cm ²
total surface are =81+245.6=326.6 cm²
volume=1/2 ×9×9×8=324 cm³
javier walks from his home at point k to the internet cafe at point 0. if the school at point w is exactly halfway between javier's house and the internet cafe, how far does javier walk?
Answer:
actually need the numericals but attached
Step-by-step explanation:
if we take it as 1 km then it would be
home to cafe = 1 km
cafe to school =
[tex] \frac{1}{2} [/tex]
so it will be 1 + 1/2 that is
[tex]1 \frac{1}{2} km[/tex]
ok mark me as brainlist
(10x-4) + ( -7 + x )
Why is sum of yi.ui zero
Answer:
Q
=
n
i
=
1
(
Yi
−
(
β
0
+
β
1
X
i))
2
I feel like I’m wrong and if I am can someone correct me? Thank you!
Tina found $4.75 at the bottom of her purse and added it to her wallet. She later bought milk and eggs for $6,55 and had
$5.43 left in her wallet
Tina wants to know how much money she had in her wallet before adding the amount she found in her purse (%). Choose ALL
equations in which x correctly represents the amount in her wallet before adding the amount she found,
A)
$6,55 - x + $4.75 - $5.43
B)
x + $4.75 - $6,55 - $5.43
C)
$5.43 -
$6.55 - $1.75 -
Eliminate
D)
$4.75 - $6.55 - $5.43 - X
E)
$5,43 - x + $4.75 - $6.55
Step-by-step explanation:
step 1. x + 4.75 - 6.55 = 5.43
step 2. looks like b is the only answer.
Answer:
i need help wit this
Step-by-step explanation: