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Ronch [10]
3 years ago
5

Select the correct answer from each drop-down menu. Complete the statement. The solutions of sin2x= √3/2

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

henc X = 30°

Step-by-step explanation:

here is the proof

when X=30° then

sin2x = sin2×30

=sin 60°

= √3/2

or else,

putting value of X = 30° then

sin2x= 2sinxcosx

= 2×sin30°×cos30°

=2×1/2×√3/2

= 2√3/4

= √3/2

hence proved sin2x= √3/2.

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-4.3 + x equals 0 selected place on the number line to positive value of x​
Zanzabum

Answer:

x is equal to 4.3

Step-by-step explanation:

since it's -4.3 + x is equal to 0

you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3

6 0
2 years ago
Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over ten years, how much was Natalie's
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Caitlin buys some apples and some oranges. She buys twice as many apples as oranges. Each apple costs £0.25 Each orange costs £0
Vitek1552 [10]

Answer:

14

Step-by-step explanation:

Caitlin buys twice as many apples as oranges.

2a=o

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.

5-2a(0.30)-0.25a=0

5=2a(0.30)-0.25a\\5=0.6a-0.25a\\5=0.35a\\a=14

3 0
3 years ago
Carlo wants to join gym.the total gym offers three options for the membership. Option1:pay as you go.pay only $6 each time You w
Ray Of Light [21]
The question is attached in the image.

1- Carlo thinks he will go to the gym 20 times this month. Calculate how much each of these options will cost Carlo for one month.
a- Pay as you go:
Total cost = 6 * 20 = $120
b- Regular deal:
Total cost = 50 + 2(20) = 50 + 40 = $90
c- All-in-one-price:
Total cost = $100
d- The least expensive for Carlo in this case would be the regular deal.

2- How many visits each month would make the cost of the Regular-Deal and the All-in-one the same?
Assume number of visits is x.
Regular deal = All in one
50 + 2x = 100
2x = 100 - 50
2x = 50
x = 25 visits

3a- It costs $300 to join the new Superfit Gym. You then pay $15 each month and $2 each time you work out. Carlo thinks he will use the gym 20 times each month for a year.
Calculate the cost of the Superfit gym for one year.
Total cost = initial payment + 15*number of month + 2*days of workout
initial payment = $300
15*number of months = 15 * 12 = $180
2*days of workout = 2*20*12 = $480
Total cost = 300 + 180 + 480 = $960

3b- How much will Carlo save during the first year if he uses the Superfit gym rather than the regular deal at the other gym?
First we will calculate the total cost of one year using the regular deal at the other gym as follows:
Total cost at other gym = monthly cost + cost of each workout
Total cost at other gym = 50(12) + 2(12)(20) = $1080
Then, we will calculate the difference to know the amount Carlo would save as follows:
Carlo would save = 1080 - 960 = $120

Hope this helps :)

7 0
3 years ago
Leslie is buying books for her upcoming semester. The cost for books is $240 and sales tax is 6%. What is the total cost of the
hodyreva [135]

Answer:

$254.40

Step-by-step explanation:

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