The value of Sin 2x if, Sin x = 2 / 5 and tan(x) > 0, is 4 √21 / 25 so, option B is correct.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine, cosine, and tangents are their names and acronyms (tan).
Given:
Sinx = 2 / 5 and tan(x) > 0,
Calculate the value of tan x as shown below,
B² = 5² - 2² (Using Pythagoras theorem)
B² = 25 - 4
B = √21
Hence, Tan x = 2 / √21
Calculate the value of Sin 2x as shown below,
Sin2x = 2 Tan x / (1 + tan² x)
Sin2x = 2 × 2 / √21 / (1 + (2 / √21)²)
Sin2x = 4 / √21 / (1 + 4 / 21)
Sin2x = 4 / √ 21 / (25 / 21)
Sin2x = 4 √21 / 25
Thus, the value of Sin2x is 4 √21 / 25.
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Answer:
B
Step-by-step explanation:
just took it
PLEASE HELP. WILL GIVE BRAINLIEST AND WORTH 60 POINTS.
Solve each equation using substitution. Answers are on the right and questions are on the left.
Answer:
Q1. No solutionQ2. (5, 6)Q3. Infinitely many solutionsQ4. No solutionQ5. (2, 3)Step-by-step explanation:
Q1.
y = -1/3x - 1x + 3y = -12Solution
x + 3(-1/3x - 1) = -12x - x - 3 = -12-3 = -12No solution
Q2
y = 2x - 4y = x + 1Solution
2x - 4 = x + 1x = 5y = 6(5, 6)
Q3
y = -3x + 36x + 2y = 6Solution
6x + 2(-3x + 3) = 66x - 6x + 6 = 66 = 6Infinitely many solutions
Q4
- 5x + y = 1- 10x + 2y = -2 ⇒ -5x + y = -1Solution
1 = -1No solution
Q5
y = 1/2x + 2y = x + 1Solution
1/2x + 2 = x + 11/2x = 1x = 2y = 3(2, 3)
The tire has a diameter of 33 inches. If the tire rotates one time, about how many inches will the tire travel?
Answer: 103.62
Step-by-step explanation: 3.14 times 33 is equal to 103.62
PLEASE EXPLAIN (Arithmetic Sequences )
If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference
A tracksuit costs £25. The price goes up by 5%. What is the new price?
Answer: £26.25
Step-by-step explanation:
10% of £25 = £2.50
Half of £2.50 = £1.25
therefore if you add £1.25 to £25 it equals £26.25
Round 25,000 to the nearest thousand
Answer:
25,000
Step-by-step explanation:
Since there are no other numbers before the thousands place, it can be determined that the current thousands place will remain the same.
(PLEASE HELP ME I BEG OF YOU)
Kevin and cannot eat on $135 a month salary there any commission for each sale they make and the ratio of Kevin and Kenneth commission is 3:4 if they sell Products worth $610 each in March and Kevin Owens at 12% commission how much did each of them??
A. Kenneth makes $232.60
B. Kevin makes $208.20
C. Kevin makes $73.20
D. They both make $440.00
E. Kenneth makes $219.60
Answer:
I think the asnwer A or B !!
Step-by-step explanation:
Need help with this pls!!
Answer:
In my looks its c!
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The arrow pointing up is longer than the others.
The size of a smart TV is measured along the diagonal length.
What is the approximate size, measured to the nearest inch,
of a 30.9 inch by 48.5 inch smart TV screen?
A. 58 inches
B. 64 inches
C. 1,654 inches
D. 3,307 inches
pls helpppppppppp!!!!!!
Answer:
-100
Step-by-step explanation:
-4 * 5 * 5
Answer:
-100
Step-by-step explanation:
Identify the model that shows 4 items being divided equally among 3 people. How much will each person have
Answer:
1 1/3 items
Step-by-step explanation:
Total number of items = 4 items
Total number of people = 3 people
4 items = 3 people
To know the number of items each person will get, we can write;
x items = 1 person
Divide both expressions
4/x = 3/1
3x = 4
x = 4/3
Express as mixed fraction;
4/3 = 1 1/3
Hence each person will receive 1 1/3 items
7. Solve the proportion w/36 = 5/18 . (1 point)
a. W = 5
b. W = 10
c. W = 15
d. W = 20
Answer:
B, 10
Step-by-step explanation:
W/36=5/18
W/36=5/18 cress cross
18w=5x36
18w=180
18w/18=180/18
W=10
Simplify the expression by using the distributive property.
-2(4x - 10)
Answer:
-8x+20
Step-by-step explanation:
multiply using the distributive property:)
Answer:
[tex]\huge\boxed{\boxed{-8x+20}}[/tex]
Step-by-step explanation:
Hello.
Please remember that the Distributive Property states that
a(b+c)=ab+ac
Now, simplify:
-2(4x-10)
multiply -2 times 4x and -10:
-8x+20 (a negative times a negative equals a positive only)
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
Once upon a time, on an island in the middle of an ocean, several tribes lived and fought with each other. A time came when all the tribes agreed to everlasting peace. So, they decided to build a giant monument to celebrate this Peace Treaty. The monument required a certain number of logs, and the tribes had to agree on the number of logs that each tribe was to provide. Had there been two fewer tribes on the island, this number of logs would have been 6. Had there been one more tribe on the island, this number would have been 5. Unfortunately, the tribes could not agree on what number of logs would be fair for the actual number of tribes. So the tribes announced an eternal war - and were not heard from ever again. How many tribes were on the island?
Answer:
4 tribes. I don't even know how to do this question at all since it's way too difficult for me but this is an attempt.
Step-by-step explanation:
Let's use negative terms.
-2 = 6
-1 = 5
0 = 4
1 = 3
2 = 2
3 = 1
4 = 0
Solve x + 1 > 10, x + 11 > 20, and x + 21 > 30. Describe a pattern. Then use the pattern to predict the solution of x + 9,991 > 10,000.
Answer:
Step-by-step explanation:
Sean prepared 44 kilograms of dough after working 11 hours. How many hours did Sean work if he prepared 48 kilograms of dough? Assume the relationship is directly proportional.
This is an example of direct variation.
So, 44 48
11 x
For this, you have to use the formula, 44x = 48 × 11
= (48 × 11) ÷ 44 = 12
Hence, your answer is 12 hours
WILL GIVE BRAINLIEST!!!!!!
Your grandfather would like you to invest in his company. He guarantees that if you invest in the stock of his company you will earn 15% on you r money every year. If you invest $100 and your grandfather is right, how much money will you have after 20 years? Round to the nearest cent.
Answer:
i=0.099
PMT (annual payment needed) $11,309
PV of perpetuity
PV=11309/0.099
=$114,232.32
hope that helps
pls mark brainliest <3
Answer:
ok so i think it is i=0.099
Step-by-step explanation:
i took the test. the test said it was that answer so yea
What is the factored form of this expression? 7- 12x+36 А. (x-12)(x-3) B. (x-6)(x+6) c. (x+6) 2 D. (x-62
Answer:
Step-by-step explanation:
factored form of x^2 - 12x + 36
(x - 6)(x - 6) or (x - 6)^2
answer is D
kya earned$630 per week . if she worked for 30 hourswhat is her hourly rate
Answer:
$21
Step-by-step explanation:
630 ÷ 30 = 21
think it's right
Image is a triangle with one side labeled as the 3 point 6 feet diameter of a semi-circle. The vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle.
Find the area of the irregular figure (use 3.14 for pi). Show your work. Round to the nearest tenth.
Answer:
13.7 ft²
Step-by-step explanation:
The figure is made up of two regular shapes.
1. A semi-circle of 3.6 ft
radius = 3.6/2 = 1.8 ft
Area = 1/2 × 3.14 × 1.8²
= 5.0868 ft²
2. A triangle
Area = 1/2 × base length × height
= 1/2 × 3.6 × 4.8
= 8.64 ft²
Area of the irregular shape = 5.0868 + 8.64
= 13.7268 ft²
To the nearest tenth = 13.7 ft²
The area of the irregular figure is 13.7 ft² to the nearest tenth.
What is the area of the triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
Given that vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle.
A semi-circle of 3.6 ft
The radius = 3.6/2 = 1.8 ft
Then Area = 1/2 × 3.14 × 1.8²
= 5.0868 ft²
Now triangle area is
Area = 1/2 × base length × height
= 1/2 × 3.6 × 4.8
= 8.64 ft²
Area of the irregular shape = 5.0868 + 8.64
= 13.7268 ft²
To the nearest tenth 13.7 ft²
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1 Camelita nuns the track at her school that is of a milelong. If she runs 4. 3 miles, how many laps did she run?
Answer:
3 laps.
Step-by-step explanation:
Hi! I can see how this is tricky, but I was a bit confused by the 4 in "If she runs 4." It says in the problem that the track is a mile long... So if you run the track 3 times, 3 x 1 = 3.
What is the product of one half and two thirds?
Answer:
Step-by-step explanation:
0.33333333333
Please help me with this one ☝️
Answer:
D
Step-by-step explanation:
add them together
Solve the equation by factoring.
c2 - 2c + 1 = 0
Answer:
The only solution is c=1
Step-by-step explanation:
c^2 - 2c + 1 = 0
What 2 numbers multiply to 1 and add to -2
-1 * -1 =1
-1 + -1 =-2
( c-1) (c-1)=0
Using the zero product property
c-1 =0 c-1 =0
c=1 c=1
The only solution is c=1
I need help with this!! A good explanation is HIGHLY appreciated! <3
Answer:
Step-by-step explanation:
1.3-y/0.2=1.8
-y/0.2=0.5
y=-0.1
Answer:
y = -0.1
Step-by-step explanation:
1. subtract 1.3 from both sides 1.3 - y/0.2 - 1.3 = 1.8 - 1.3
2. simplify -y/0.2 = 0.5
3. multiply both sides by 0.2 0.2(-y/0.2) = 0.5 x 0.2
4. simplify -y = 0.1
5. divide both sides by -1 -y/-1 = 0.1/-1
and you’re done! c:
Math
Skip count by tens and fill in the missing numbers.
550, 660 570, 580, 590,
610,
Answer:
560, 600, 620, 630, 640, 650
Step-by-step explanation:
Just counted from 10, I guess.
What is the value of the square root of 72 to the nearest tenth?
Answer:
8.5
Step-by-step explanation:
Because I used a calculator
The square root of 72 is 8.48528137424 ...
The hundredths digit (8) rounds up.
So the square root of 72 rounded to the nearest tenth is 8.5.
Now you can multiply this to see if the product is near 72.
8.5 times 8.5 is 72.25.
fadil sells televisions. He earns $15 a fixed amount for each television and an additional if the buyer gets an extended warranty. If sells 12 televisions with extended warranties, he earns 1140
. How much is the fixed amount earns for each television?
consider the two functions which statement is true?
Answer:
A
Step-by-step explanation:
A plant's height is 1 meter 10 centimeters. How tall
is the plant in millimeters?
Answer:
1100
Step-by-step explanation:
Answer:
1100 millimeters
Step-by-step explanation:
An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employees does it have in total?
Answer: 98268
Step-by-step explanation:
Given: In an international company,
Employees in one country = 22,700
If this is 23.1% of the total number of company's employees,
[[tex]1\%=\dfrac1{100}[/tex] , replace 'of' by '×']
i.e. 23.1% of (total employees) = 22700
[tex]\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268[/tex]
Hence, there are 98268 employees in total.