What is the constant of proportionality for the table below?

Answer:

See answers below

Step-by-step explanation:

Using the sin rule

a/sinA = b/sinB = c/sinC

a) x/sin110 = 16/sin27

xsin27 = 16sin110

xsin27  = 15.035

x = 15.035/sin27

x = 33.1

2) Using the cosine rule;

x² = 30²+14²-2(30)(14)cos125

x²  = 900 + 169 - 840cos125

x²   = 1069 - 840(-0.5735)

x² = 1069 +481.80

x² = 1,550.80

x =39.4

3) 28² = 18²+12²-2(18)(12)cosx

784 =  324 + 144- 432cosx

784 - 468 = - 432cosx

316 = - 432cosx

Cos x = -316/432

x = - 42.99

x = 180 - 42.99

x = 137.0 degrees

4) Using the sine rule

20/sinx = 33/sin91

33sinx = 20sin91

sinx = 20sin91/33

sinx = 19.997/33

sinx = 0.6059

x = arcsin(0.6059)

x = 37.3degrees

Answer:

D.

Step-by-step explanation:

The answer is 117

Answer: The answer is not listed

Step-by-step explanation:

Answer:

ertgyhj

Step-by-step explanation:

Answer:

B. 80 students

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{70}{100}[/tex]

y · 70 = 56 · 100

70y = 5600

70y ÷ 70 = 5600 ÷ 70

y = 80

Answer:

your answer should be 6! :)

Answer:

6√5

Step-by-step explanation:

REMEMBER THE REMAINDER

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation

1. Factor 180 into square numbers

180 = 9*4*5

2. [tex]\sqrt{180}[/tex] = [tex]\sqrt{9*4*5}[/tex]

3. Bring out the square numbers to the outside of the square root.

4. 3*2[tex]\sqrt{5}[/tex] = 6[tex]\sqrt{5}[/tex]

Answer:

part a: she borrowed 3,700

part b: she would pay 555 interest

Step-by-step explanation:

Answer:

y= -2/3x+9

Step-by-step explanation:

just do y=mx+b

Answer:

Step-by-step explanation:

∠A = 90° because AC is diameter of the circle P.

Since ABC is right triangle and ∠A is 45°, the remaining angle is also 45°:

Answer:

<15

Step-by-step explanation:

Answer:

The first one is the answer to the question

Answer:

Difference between both pay = £5

Step-by-step explanation:

Given:

Basic pay of Ryan = £60 per day

Basic pay of carl = £60 per day

Ryan get bonus = 25% of basic pay

Carl get = £20 as tip

Find:

Difference between both pay

Computation:

Total of Ryan pay = 60 + 25%(60)

Total of Ryan pay = 60 + 15

Total of Ryan pay = £75

Total of Carl pay = 60 + 20

Total of Ryan pay = £80

Difference between both pay = 80 - 75

Difference between both pay = £5

Answer:

x=3

y=6

Step-by-step explanation:

ez pz

Answer:

Option B.

Step-by-step explanation:

Have a great day!

you don’t have to give Brainliest ;)

Answer:

the answer is it the picture

Step-by-step explanation:

I think that's the answer

...I think...

Answer:

go on MATH.WAY. it'll give you the answer and explanation

Step-by-step explanation:

Answer: 1/9

Step-by-step explanation: add all the numbers up, so 4+6+2=12, which is the denominator. First, we find the rasin bagel, which 8/12=4/6=2/3 times the number of plain bagel which is 2/12, or 1/6. 2/3*1/6=2/18=1/9. Tell me if I get it right or not.

Answer:

CI = (0.68, 3.84)

Step-by-step explanation:

We want to find the confidence interval for the difference in means between the two groups MC and MN.

where;

- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.

- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.

We are given;

Sample mean of C; x'c = 1.3

Sample mean of N; x'n = -0.96

Standard deviation of C; S_c = 2.32

Standard deviation of N; S_n = 1.58

Sample size of C; n_c = 11

Sample size of N; n_n = 10

Formula for the confidence interval for the difference in means is;

CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]

Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833

Thus;

CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]

CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]

CI = (2.26 - 1.58), (2.26 + 1.58)

CI = (0.68, 3.84)

Answer:

C) The triangles are not similar.

Step-by-step explanation:

These triangles are not similar. Similar triangles are triangles with the same angle measurements and proportionate side measures. However, these sides are not proportionate and therefore the triangles are not similar. You can tell the sides are not proportionate because on one triangle the two given sides (which are corresponding with the other two given sides) are congruent but the other triangle has no congruent sides. This also means that the smaller triangle is isosceles while the larger one is scalene, and different triangle types cannot be similar.

Answer:

c. 590.77

Step-by-step explanation:

on e2020 :)

Answer:

Step-by-step explanation:

We need to add up the times:

35 mins+ 35 mins + 45 mins+ 60 mins= 35+35+45+60= 175 mins

In hours, that would be 2 hrs, and 55 mins

So; 9:15 + 2 hrs and 55 mins= 12:10

Answer:

1017.88

Step-by-step explanation:

i used the formula of V=πr2h

3 a for the cone and then also 4

3πr3 for the sphere

plzmark branliest

Answer:

Total cost= $41.83

Step-by-step explanation:

Giving the following information:

Purchase price= $39

Tax rate= 7.25% = 0.0725

To calculate the total cost of the pair of shoes, we need to use the following formula:

Total cost= purchase price * (1 + tax rate)

Total cost= 39 * 1.0725

Total cost= $41.83

Answer:

The three sides are 36 f t ,  72 f t  and  59 f t .

Step-by-step explanation:

Let the length of the shortest side of the triangular flower bed be x feet.

Then the length of the second side is 2x and

the length of the third side is  x + 23

The given perimeter is  167 f t  hence:

x+2x+x+23=167

4x+23=167

4x=167-23

4 x = 144

x = 144 /4 = 36

2 x = 2 ⋅ 36 = 72

x +23 = 36 + 23 = 59

The length of the three sides of the triangular flower bed are 36 f t ,  72 f t  and  59 f t .

Answer:

35C12 = 834451800

Step-by-step explanation:

.............

The solution of the given expression is 3.33  x  10⁹.

The arrangement of the different things or numbers in a number of ways is called the combination.

The solution will be:-

[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]

[tex]^{35}{C_{12}=3.33\times 10^9[/tex]

Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]

To know more about combinations follow

https://brainly.com/question/11732255

#SPJ2

Answer:

c

Step-by-step explanation:

hope it helps[]~(￣▽￣)~*

Answer:

c

Step-by-step explanation:

c because it’s most likely correct and I took the test

hope it helps

Step-by-step explanation:

Answer:

Second Option

Step-by-step explanation:

[tex]5^2 + 7^2 = PQ^2[/tex] (pythagorean theorem)

[tex]PQ^2 =74[/tex]

[tex]PQ = \sqrt{74}[/tex]