a) Calculate the magnitude of the angle a in the diagram above.
b) Find the length of OT

​

Answer:

$126

Step-by-step explanation:

Well first you would have to see how much the total sale of 700 chocolate bars is,

700*1.20=$840

Next you need to multiply the 15% thats going to club shirts,

$840*0.15=126

So your answer is $126

Answer:

[tex]\displaystyle \frac{dx}{d\theta}=5\text{ ft/rad}[/tex]

Step-by-step explanation:

Please refer to the diagram below.

We can use the sine function. Recall that the sine function is the ratio between the opposite side and the hypotenuse. Hence:

[tex]\displaystyle \sin(\theta)=\frac{x}{10}[/tex]

We want to find how fast x changes with respect to θ. So, we want to find dx/dθ. Therefore, let's take the derivative of both sides with respect to θ:

[tex]\displaystyle \frac{d}{d\theta}[\sin(\theta)]=\frac{d}{d\theta}\left[\frac{1}{10}x\right][/tex]

Differentiate. Since it's with respect to θ, we can differentiate the left-hand side like normal. On the right, we will implicitly differentiate. This yields:

[tex]\displaystyle \cos(\theta)=\frac{1}{10}\frac{dx}{d\theta}[/tex]

Multiply both sides by 10. So, dx/dθ is:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos(\theta)[/tex]

We want to find dx/dθ when θ is π/3. Thus, substitute π/3 for θ:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos\left(\frac{\pi}{3}\right)[/tex]

Evaluate:

[tex]\displaystyle \frac{dx}{d\theta}=10\left(\frac{1}{2}\right)=5\text{ ft/rad}[/tex]

So, x is changing with respect to θ at a rate of 5 feet per radian.

See Explanation

Step-by-step explanation:

[tex] \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 \times 1 - 3 \times 2 \\ \\ = 4 - 6 \\ \\ = - 2[/tex]

[tex] \begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\

=4(-4\times 2-5\times 7)\\ -2(-1\times 2-5\times 3)\\ +6(-1\times 7-(-4)\times 3)\\\\

= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\

= 4(-43) -2(-17) +6(5)\\\\

= - 172 + 34 + 30\\\\

= 64 - 172\\\\

= - 108 \\[/tex]

Answer:

60,72 - 12

45,81 - 9

Answer: 4.3478 or 100/23

Step-by-step explanation:

Set the y values equal to each other since they are the same unknown (x). You end up with 100=23x, solve for x. Move the 23 over to the other side by using division. x=100/23. If you need it in decimal form, 100÷23=4.347826087

Answer:

4.3=x

Step-by-step explanation: y=23x

substitute the variable y to 100. Now the equation looks like this 100=23x. Your next step is to get get x by itself, so you would divide 23 on both sides. That would cancel out the 23 x. The only thing you have to do now is 100 divided by 23 and that would be 4.3 and a whole bunch of number so you just round it to the nearest tenth. You answer would be 4.3.

Answer:

30

Step-by-step explanation:

For the minimum free throws, he must put every throw to the basket.

So, let n be the number of throws for Tuesday, in which all the throws are successful.

So, over both the days, total free throws he makes= 15+n.

Total numbers of throws that went in the basket= 6+n.

As he wants at least 80% of his balls to go in the basket.

So, 6+n is greater than or equal to 809% of 15+n, i.e

[tex]6+n\geq \frac{80}{100}\times (15+n)[/tex]

[tex]\Rightarrow 30+5n\geq 60+4n[/tex]

[tex]\Rightarrow n\geq 30.[/tex]

Hence, the minimum number of free throws required on Tuesday to reach his goal is 30.

Juanita had the largest change. (+4 points)

Answer:

She paid $5.25

Step-by-step explanation:

You would multiply 15 times 0.65 and then subtract that from 15 or you could multiply 15 times 0.35 because 100-65 is 35.

Answer:

76

Step-by-step explanation:

you need to find the smallest number you can divide by 8,9,12 (72) + 4

72 + 4 = 76

Answer:

hatdogkajsidnevwjqo

Answer:

The answer is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

It is going by two's but with negative numbers so if we go backwards it would be -6, -4, -2, then the blue dot which would be 0.

Answer:

1: x= 3

2:x=12

3:x= 6.7

4:x=3.6

Answer:

(x-3)(x-2)

Step-by-step explanation:

none cause you dont want one

Answer:

y=2x+5

Step-by-step explanation:

0,5

0,7

7-5 is 2

2/0 is 2

to check answer:

(2*0)+5

0+5

=5

See attachment for math work and answer.

Answer:

17

Step-by-step explanation:

I hope this helps!

Answer:

2x-  5/3x  -7/3

Step-by-step explanation:

yeah

Answer:

7.74 feet (approximate is 8 feet)

Step-by-step explanation:

Radius of the circle is r = 6/2 = 3

Area of the circle is A = π x 3^2 = 9π = 28.26

Area of the square = 6^2 = 36

Remaining board area = 36 - 28.26 = 7.74

Hope this helps! <3

Answer:

Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.

Step-by-step explanation:

Answer:

non linear funtion -4, 2

Step-by-step explanation:

Answer:

24/8 or 3

Step-by-step explanation:

19/8 + 5/8

=> 19 + 5 / 8

=> 24/8

=> 3

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

5m-4

Step-by-step explanation:

The product of 5 and a number is written as 5(m) <--- any variable you chose.

The solution is 4 less than 5m.

So: 5m-4

Hope this helps ^^

Answer:

74t+(-24x)

Step-by-step explanation:

Answer:

.175 tons

Step-by-step explanation:

350 pounds converts to .175 tons.

Step-by-step explanation:

5 - 3n

I think sooooooo

Answer:

the answer would most likely be A

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

27.83

The 3 is repeating

Step-by-step explanation: