At a hockey game, a vender sold a combined total of 136 sedas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold

Answer:

[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Given

[tex]\cos A = \frac{1}{2}[/tex]

Required

Determine [tex]\cos(\frac{1}{2}A)[/tex]

To do this, we make use of the following identity

[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}[/tex]

Substitute: [tex]\cos A = \frac{1}{2}[/tex]

[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}[/tex]

Solve the numerator

[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}[/tex]

[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}[/tex]

Rewrite as:

[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}[/tex]

[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}[/tex]

Take square roots

[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]

Answer:

answer is 52.5

Step-by-step explanation:

hope it helps

Answer:

6

Step-by-step explanation:

[tex]\sqrt{4}(4)[/tex] = [tex]\sqrt{16}[/tex]

[tex]\sqrt{16} =4[/tex]

[tex]4 + 2 = 6[/tex]

Answer:

C. 6

Step-by-step explanation:

[tex]\sqrt{4m}+2=\sqrt{4*4}+2=\sqrt{4^{2}} +2=4+2=6[/tex]

Answer:

d) [tex]\frac{9\pi }{4}[/tex]

Step-by-step explanation:

[tex]\frac{9\pi }{4} = 2\pi + \frac{\pi }{4}[/tex]

The correct options are a and d because -7pi/4 and 9pi/4 are the required angles.

Important infromation:

The angles [tex]\theta\pm 2n\pi [/tex] represent the same point on the unit circle as [tex]\theta[/tex].

It means,  [tex]\dfrac{\pi}{4}\pm 2n\pi [/tex] represents the same point on the unit circle as [tex]\dfrac{\pi}{4}[/tex].

The required angles are:

[tex]\left\{...,\dfrac{\pi}{4}-4\pi,\dfrac{\pi}{4}-2\pi, \dfrac{\pi}{4},\dfrac{\pi}{4}+2\pi,\dfrac{\pi}{4}+4\pi,...\right\}[/tex]

[tex]\left\{...,-\dfrac{15\pi}{4},-\dfrac{7\pi}{4}, \dfrac{\pi}{4},\dfrac{9\pi}{4},\dfrac{17\pi}{4},...\right\}[/tex]

Therefore, the correct options are a and d.

Find out more about 'Angles' here:

https://brainly.com/question/23475646

Answer:

($42 × 7)  - ($8.25 × 8)

Step-by-step explanation:

Given that

Mike saves $42 a week for 7 weeks

And, his 8 day vacation, he plans to spend $8.25 each day

We need to find out the expression of how much he would have left

So,

Since the amount $42 is for a week

So for 7 weeks, it would be

= $42 × 7

And, he spends $8.25 each day,

And, for 8 days, it would be

= $8.25 × 8

So, the expression is

= ($42 × 7)  - ($8.25 × 8)

Answer:

2[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula and plug in the values

d=(3−(−3))2+(2−6)2√  

d=(6)2+(−4)2√

d=36+16√

d=[tex]\sqrt{52}[/tex]

d= 2[tex]\sqrt{13}[/tex]

Answer:

p - 7 = 42

Step-by-step explanation:

"Less than" might make you think of the  <  sign, but that's a mistake.  The expression  7 < p = 42  makes no sense!  In fact, that would say, "7 is less than p and p = 42."

To find 7 less than a number, you subtract 7 from the number.  You start with the number, then subtract 7.

p - 7 = 42

Answer:

a

Step-by-step explanation:

bc look

Answer:

59×695÷500×56677×6626

Answer:

A

Step-by-step explanation:

from age 5 to age 15 the number of hourse watched goes up and so on

Answer:

I think it's 886.7

Step-by-step explanation:

hope this helps sorry if incorrect have a good rest of your day/night :) ❤

Answer:

1) P(none are red) = 51.2%

2) P(third one is the first one that is yellow) = 12.8%

Step-by-step explanation:

We are given;

P(Yellow) = 20% = 0.2

P(red) = 20% = 0.2

P(Orange) = 10% = 0.1

P(Blue) = 10% = 0.1

P(green) = 10% = 0.1

P(brown) = 30% = 0.3

1) Probability that one is not red is;

P(one not red) = 1 - P(red)

P(one not red) = 1 - 0.2

P(one not red) = 0.8

Since 3 are selected, we will apply multiplication rule for independent events to get;

P(none are red) = 0.8 × 0.8 × 0.8

P(none are red) = 0.512

P(none are red) = 51.2%

2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;

P(third one is the first one that is yellow)

= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)

P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2

P(third one is the first one that is yellow) = 0.128

P(third one is the first one that is yellow) = 12.8%

Answer: 24

Step-by-step explanation:

Given

Simra has an 8-carat diamond

She cuts small pieces of [tex]\frac{1}{3}[/tex] carat

Suppose she cuts x pieces of diamond

[tex]\therefore x=\dfrac{8}{\frac{1}{3}}\\\\\Rightarrow x=8\times 3\\\Rightarrow x=24[/tex]

She has now 24 pieces of diamond.

Answer

A

Step-by-step explanation:

Answer:

 65 in

Step-by-step explanation:

Answer:

x = -0.8 and 10.8

Step-by-step explanation:

Given the equation x2 – 10x – 8= 0

Using the general formula

x = -b±√b²-4ac/2a

x = -(-10)±√(-10)²-4(1)(-8)/2(1)

x = 10±√100+32/2

x =10±√132/2

x = 10±11.489/2

x = 10-11.489/2 and 10+11.489/2

x = -1.489/2 and 21.489/2

x = -0.8 and 10.8

Answer:96

Step-by-step explanation:

Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS

Answer:

2/5

Step-by-step explanation:

Answer: they both have four sides (quadrilateral)

Step-by-step explanation:

Answer:

Quarderlaterals with reflecting (or parrel) sides of the same length.

Step-by-step explanation:

Squares always have 4 equal sides

Parrallegrams always have two sides that are parrel to each other that are the same lenghth.

Answer:

Extrapolation, because a key that is 12 keys from middle c is outside the data set.

Step-by-step explanation:

Given

See attachment for the data set

Required

Which option answers the question

From the attached dataset, we can see that 12 is not within the range of the data set.

When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.

Hence, (d) is correct

Answer:

d

Step-by-step explanation:

trust me

Answer:

c = 25

Step-by-step explanation:

First, you can divide by 18 on both sides:

18 (c - 19) = 108

÷ 18             ÷18

c - 19 = 6

To isolate the variable c, you can add 19 on both sides:

c - 19 = 6

  +19   +19

c = 25

Answer:

c= 25

Step-by-step explanation:

108/18 = 6

6 +19 = 25

Answer:

1st one

Step-by-step explanation:

Linear means straight and when you graph this one it is a straight line

Answer:

A, B, and C. Not D.

Step-by-step explanation:

He wants all four colors to have equal share on the quilt which means each color needs to have 4 squares each to make up equal share of the quilt. D is the only one that doesn't follow this rule so it is the only one that is incorrect and would not work as a design.

Answer:

216 degrees.

Step-by-step explanation:

put it through the formula and set the formula equal to 6/5 pi. then solve.

Answer:

B) 10 cm

Step-by-step explanation: since DC scaled up to 10 cm and they were both originally 6cm, RU would be 10cm.