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3 years ago

Could you please check my answers and let me know if they are right?

Mathematics

1 answer:

ANTONII [103]3 years ago

8 0

Answer:

11 is correct

12 should be 51°

Step-by-step explanation:

15/sin(104) = 12/sin(J)

J = 50.917°

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In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 100 green tickets,

Rashid [163]

Answer:

D) 3:10

Step-by-step explanation:

Well only blues and yellows are at least $5. there are 25 yellows and 5 blues and if you add them together there's 30 in total. Now compare that 30 to 100 and you have 30:100. In the simplest form you have to divide both sides by 10 and it becomes 3:10.

3 0

3 years ago

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

4 years ago

It also detects if you are right or wrong

kap26 [50]

Answer:

Step-by-step explanation:

all your doing is dividing 100 by 20 and u get 50

6 0

3 years ago

Read 2 more answers

What is 7/3 times 5/3 times 11/3 simplified?????

GalinKa [24]

Answer:

14.26

Step-by-step explanation:

7/3 x 5/3 x 11/3 = 7(5)11/(3³)

35 x 11 = 385/27

385 / 27 = 14.26

7 0

3 years ago

The sum of two numbers is 30. The difference of twice the larger number and three times the smaller number is 5. What is the pos

natali 33 [55]

Let’s give these two numbers variables
Let ‘a’ be the larger number
Let ‘b’ be the smaller number

Now from the question we know:
a + b = 30 or a = 30 - b
2a - 3b = 5

Now, let’s plug the first equation into the second to find ‘b’:

2(30 - b) - 3b = 5
60 - 2b - 3b = 5
60 - 5b = 5
55 = 5b
b = 11

Now we solve for ‘a’:
a = 30 - b
a = 30 - 11
a = 19

Now the question asks for the positive difference between the two numbers, so:
a - b = ?
19 - 11 = 8

Hope this helps!

5 0

3 years ago