Answer:
sin2x = √3/2.
Step-by-step explanation:
sin2x = 2 sinx cosx
So sinx cosx = 1/2 sin2x
So 1/2 sin2x = √3/4
sin2x = √3/4 * 2
sin2x = √3/2.
What is the value of x?
What is the measure of angle QOR?
What is the measure of angle ROS?
Answer:
x = 26
angle QOR = 31
angle ROS = 59
Step-by-step explanation:
[tex](x + 5) + (2x + 7) = 90\\ 2x + x + 5 + 7 = 90 \\ 3x + 12 = 90 \\ 3x = 90 - 12 \\ 3x = 78 \\ x = 78 \div 3 \\ x = 26[/tex]
Sub x in
[tex](x + 5) \\ 26 + 5 = 31[/tex]
and
[tex](2 \times 26 + 7) \\ = 52 + 7 \\ = 59[/tex]
What is the explicit rule for the arithmetic sequence 3, 9, 15, 21, 27, . . . ?
Answer:
6n-3
Step-by-step explanation:
You can see the sequence is ascending by 6 each time so the nth term is 6n.
The 'zero term' would be -3 so the equation would be 6n-3.
Which iS an example of area?
Answer:
3. The amount of wallpaper for a wall in a bedroom
Step-by-step explanation:
1. The number of towels I can fit in a bathroom cabinet
No, sounds more like volume, since a cabinet has space inside.
2. The amount of ribbon used to decorate from one end of a room to the another
No, sounds like perimeter, since a ribbon would need to cover space in one direction.
3. The amount of wallpaper for a wall in a bedroom
Yes, wallpaper is applied in 2 directions and lays flat on a surface to cover a certain area.
PLEASE, FOR BRAINLIEST: ANSWER QUICKLY!!!
Answer:y = 2/3x + 4
Step-by-step explanation:
I only see one equation so here is the equation of that line
M = rise/run = 2/3 y int = 4
y = 2/3x + 4
what is the circumference of a circle with diameter of 4 in
Answer:12.57
Step-by-step explanation:
Jackson works at a store and earns $200 each week. He also earns an additional $24 per sale. How
many sales does he need to make so that he earns a minimum of $500 in a week?
Answer:He would have to make a minimum of 13 sales
Step-by-step explanation:
When you divide 300 by 24 you will get 12.5 but you can’t make half a sale so you would have to round up to 13
many credit card companies allow you to review your account statement online true or false
Many companies are moving online or are entirely online already. This includes credit card companies. Also, these same companies may send a bill in the mail as well, but it depends on the company. It effectively depends on if you select the "paperless billing" option or not.
median of 1, 2, 3, 3, 4, 5, 6, 6, 6, 7
Answer:
4.5
Step-by-step explanation:
the median is the middle number
You take the middle values, 4 and 5, and add them together. Then divide the sum of the values, 9, and then divide by 2.
Answer should be 4.5
Which answers describe the shape below? Check all that apply.
A. Parallelogram
B. Trapezoid
C. Square
D. Rhombus
O E. Rectangle
The correct answers are, A, D, and E.
Help me plsssss asap
How do you find a 180 degree angle?
180° angle is a straight line
hope it helps....!!!
Deondra took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $2 per mile. The total fare was $47.20, not including the tip. How many miles was the taxi ride?
This is our y intercept
Rate of pay=$2 per mileThis is our slope or rate of change
So
The equation becomes
d=2m+3.20Where m is miles driven
47.20=2m+3.202m=44.00m=22.0milesThe no. of miles not including any tip the taxi traveled is 22 miles.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The taxi company charged a pick-up fee of $3.20 plus $2 per mile.
Let, 'm' be the no. of miles and the total fare was $47.20.
Therefore, The numerical form of these statements is,
2m + 3.20 = 47.20.
2m = 47.20 - 3.20.
2m = 44.
m = 44/2.
m = 22.
So, The taxi traveled 22 miles.
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Recycling Center #1 charges $0.75 per visit but lets you use their equipment for free. Recycling Center #2 charges you $0.25 per visit and $5.00 to use their equipment. How many times would you need to visit the recycling center for the total cost to be the same?
Answer:
10 times
Step-by-step explanation:
We have two separate equations that represent this situation:
0.75x ----> which represents recycling center #1
0.25x + 5.00 -----> which represents recycling center #2
To find the amount of times you would need to visit the recycling centers for the total cost to be the same, put both of these equations equal to each other:
0.75x = 0.25x + 5.00
Now, solve:
0.75x = 0.25x + 5.00 Subtract 0.25x from 0.75x
0.50x = 5.00 Divide 5.00 by 0.50
x = 10
Thus, you would need to visit the recycling centers 10 times for the total cost to be the same.
Let's check this answer by plugging 10 into both equations:
0.75(10) = 7.5
0.25(10) + 5.00 = 7.5
Since both of the answers are the same, then 10 is the correct answer!
I hope this helps! Good luck!
write the decimal Equivalent for this fraction 7/10
Answer: 0.7
This is because the 7 is in the tenths place
0.7 = 7 tenths = 7/10
You could also use long division or a calculator to get this decimal value.
Answer:
0.7
Step-by-step explanation:
To convert a decimal to a fraction, didvide the numerator by the denominator.
7 ÷ 10 = 0.7
note: This fraction is over 10. Any fraction over 10 will have a decimal value in the tenths place.
hope this helps!
PLEASE HELP
Jasmine has saved $2500 to buy a used car, but she needs $3500 to buy the car she wants. If she places the $2500 into an account paying 6.5% interest compounded continuously, how many years will it be before she has the $3500 needed to purchase her car?
2.5 years
6.9 years
3.7 years
5.2 years
Answer:
about 5.2 years
Step-by-step explanation:
[tex]2500 {e}^{.065t} = 3500[/tex]
[tex]t = 5.2[/tex]
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answer:
Atotal=60cm2
Step-by-step explanation:
A1=BH
=6cm*5cm
=30cm2
A2=1/2 BH
=1/2(12cm)(5cm)
=6cm*5cm
=30cm2
A1+A2=Atotal
30cm2+30cm2=Atotal
60cm2=Atotal
Please show your work! I'll give you Brainliest as well lol, thanks!
Step-by-step explanation:
the area of such a regular shape with n sides is the sum of n isoceles triangles (meaning each triangle has equally long legs) from the center to 2 neighboring corners.
the area of a triangle is
baseline × height / 2
so, for these triangles that means
shape side length × apothem / 2
in our case, n = 6, the side length = 5 cm, the apothem is 4.3 cm. and we get as total area
6 × 5×4.3 / 2 = 3 × 5 × 4.3 = 15 × 4.3 = 64.5 cm²
What is the mean of the following set of data? {1, 4, 7, 5, 3, 3, 5}
Answer:
the answer is below
Step-by-step explanation:
A. 4.0
B. 4.5
C. 3.5
D. 4.2
Answer:
4
it's not B or C or D so it has to be A
help pleaseee and explain too if you can
Answer:
y=30 and x =25.98
Step-by-step explanation:
Solving For Y value:
Sin30 = 15/y
0.5 = 15/y
y0.5 = 15
y = 15 / 0.5
y=30
Solving For X value:
Tan30 = 15 / x
0.58 = 15 / x
x0.58 = 15
x= 15/0.58
x =25.98
5.What is the ratio of 2 gallons to 3 quarts?
ANSWER: SOLUTION
TO CHOOSE THE CORRECT OPTION
The ratio of 2 gallons to 3 quarts
A) 8 to 3
(B) 3 to 8
(C) 3 to 2
(D) 2 to 3
EVALUATION
Here we have to find the ratio of 2 gallons to 3 quarts
We know that
1 gallon = 4 quarts
∴ 2 gallon = 8 quarts
Hence the required ratio
= 8 : 3
Step-by-step explanation:
FINAL ANSWER
Hence the correct option is A) 8 to 3
I’ll Brainlylist to whoever gets this correct - Due today
Please and thank you
Answer:
1. 0 & 2
2. 5
3. 10
4. 17
hope this helps!
Using the following diagram. Solve for N
[tex]\text{Vertical angles are equal, so}[/tex]
[tex]~~~~~~15n-2 = 13n+12\\\\\implies 15n-13n = 12+2\\ \\\implies 2n = 14\\\\\implies n = \dfrac{14}2 \\\\\implies n = 7[/tex]
determine whether the set is finite ir infinite
Answer:
The set is Infinite
Step-by-step explanation:
Infinite sets are ≥ greater than 1 and sometimes has an N
If m < 8 = 106 and m < 3 = (6x-4) what is the value of x.
a. x = 11
b. x = 12
c. x = 13
d. x = 18
please help
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He
performs an experiment. Liam randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Liam performs the experiment 62 times. The
results are shown below:
A pineapple chew was selected 58 times. Based on these results, express the probability that the next chew Liam removes from the bag will be cherry chew as a decimal to the nearest hundredth
A cherry chew was selected 2 times.
A lime chew was selected 2 times.
Based on these results, express the probability that the next chew Liam removes from
the bag will be cherry chew as a decimal to the nearest hundredth
The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Liam performs the experiment 62 times
Total number of outcomes = 62
A pineapple chew was selected 58 times.
A cherry chew was selected 2 times.
A lime chew was selected 2 times.
Now, the probability that the next chew Liam removes from the bag will be cherry chew:
P = 2/62
P = 1/31
P = 0.0322 or 0.03
Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
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1. Consider the equation 2 x e x + = . This equation has a solution close to x = 0 .
a. Determine the linear approximation, L x( ), of the left-hand side of the equation about
x = 0 . (2)
b. Use L x( ) to approximate the solution of the equation 2 x e x + = . (2)
Answer:
the linear approximation formula is based on the equation of the tangent line of a function at a fixed point. The linear approximation of a function f(x) at a fixed value x = a is given by L(x) = f(a) + f '(a) (x - a).
Step-by-step explanation:
In order to encode a message, James first replaces each letter in the message
by its corresponding number; let A = 1, B = 2, , Y = 25 and Z = 26. Then,
it multiplies each number by 3 and then subtracts 5. James continues this
process a total of n times. For example, when n = 2, the letter D is encoded by
the number 16. If James encoded a four-letter message with the four numbers
367 205 853 1339, what value of n did he use?
1+1=2 but why.... What is the explanation...
Answer:
Adding is basically counting. So 1+1 is basically counting two objects. There is 1 object and there is another. If you count them, then they are 2.
will you tell me what the gcf of 18, 24, 48 is?
Answer:
6
Step-by-step explanation:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greatest number that is in all lists is 6
how many centimeters are equual to 12 meters
Answer:
1200 centimeters=12 meters
Step-by-step explanation:
100 centimeters in a meter
so
100x12=1200