Tell whether the angles are adjacent or vertical. Then find the value of x.

Answer:

sorry i did my math wrong its...I think its 84 meters

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

[tex]\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}[/tex]

[tex]\cos A=\dfrac{49+196-64}{196}[/tex]

[tex]\cos A=\dfrac{181}{196}[/tex]

Taking cos inverse on both sides.

[tex]A=\cos^{-1}\dfrac{181}{196}[/tex]

[tex]A=22.561328[/tex]

[tex]A\approx 22.6[/tex]

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

Answer:

C ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer: 24 bottles

Step-by-step explanation: 1 gallon is 8 pints so 8*3 is 24 so 24 bottles

Answer:

3.84, and lower. These are correct

Step-by-step explanation:

I did the test but I am not sure which is the answer for the first one. It’s is NOT 2.6

Answer:first blank is 2.2

Step-by-step explanation:

you find the mean of the data which is 8. Then you subtract every data point from 8, add them up and find the mean of the new numbers,

Answer:

This would equal sec (B)

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

85, 91, 83, 78, 79, 64, 81, 97

Ordered data : 78, 79, 81, 83, 85, 91, 97

Mean:

Σx / n =

n = sample size = 8

(64+78+79+81+83+85+91+97) / 8

= 658 / 8

= 82.25

Median = 1/2(n+1)th term

1/2(8+1)th term = 1/2 * 9 = 4.5th term

(4th term + 5th term) /2 = (81 + 83) / 2 = 82

Mode = 85, 91, 83, 78, 79, 64, 81, 97

Outlier:

Lower = Q1 - 1.5(IQR)

Upper = Q3 + 1.5(IQR)

Using a calculator :

Q1 = 78.5 ; Q3 = 88 ;

IQR = (Q3 - Q1)

(88 - 78.5) = 9.5

Outlier :

78.5 - 1.5(9.5) = values < 64.25

88 + 1.5(9.5) = values > 102.5

Hence. Outlier is 64

Removing the Outlier :

Data = 78, 79, 81, 83, 85, 91, 97

Mean = 84.85

Median = 83

Based on the result, the median is the best measure of central tendency for the data:

Answer:

6 cm

Step-by-step explanation:

First find the height of 1 foot by doing 1/6 = 1.66. Then multiply that by the height of the robot. 1.66 x 36 = 6.

Answer:

i think it is A

Step-by-step explanation:

A 216

because if 1cm is 6 ft then you would have to do 6ft 36 times example 6×36 =216

im not sure im not good at math but i tried to help :(

Answer:

angle 7and 8

angle 9 and 6

Step-by-step explanation:

Answer:

$0.6

Step-by-step explanation:

1. 4.2 per 7 pounds

4.2 / 7 = 0.6

Answer:

0.06euros (2dp)

Step-by-step explanation:

18 donuts = 0.50euros (50 cents)

1 donut = 0.03euros (2dp) (3 cents)

2 donuts = 0.06euros(2dp) (6cents)

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

[tex]P(t)=A(r)^t[/tex]

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

[tex]\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}[/tex]

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

[tex]\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}[/tex]

Solve for A. Simplify:

[tex]\displaystyle 2=A\Big(\frac{1}{2}\Big)^3[/tex]

Simplify:

[tex]\displaystyle 2=A\Big(\frac{1}{8}\Big)[/tex]

Thus, the initial mass of the sample was:

[tex]A=16\text{ mg}[/tex]

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

[tex]\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}[/tex]

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.

Answer:

32

Step-by-step explanation:

area of a triangle is bxhx1/2

8x8 is 64

and then divide by 2

64/2=32

Answer: the answer is 14 if the 2 and  7 are a fraction and if it’s just 27xn=4 the answer is 4/27 and in decimal form it’s 0.148

Step-by-step explanation:

Answer: n=14

First, multiply 2/7xn which is 2n/7=4

Next, multiply both sides by 7 to get the 2n on one side by its self (2n=28)

Then divide 28 by 2 which gives you n=14

Hope that helps

3x-2y+4z-x+5y+3x-2y+4z-x+z

First, reorder(I put the like terms in parenthesis to help you see the work better).

(3x+3x-x-x)+(5y-2y-2y)+(4z+4z+z)

Now, we add/subtract like terms.

(6x-2x)+(5y-4y)+(8z+z)

Lastly, we combine.

4x+y+9z

---

hope it helps

Answer:

It is better to buy 20 g of flour 3 for 3.50

Step-by-step explanation:

It is given that 20g of 3 for 3.50

It means 3 packets of 20 g is 3*20 =60

So, 60g  is for 3.50

So, 1 g =[tex]\frac{3.5}{60}[/tex]=0.05833 per gram.

Now, let's find unit rate for 40 g of 2 for 9.

2 packets of 40 gram = 2* 40 =80 grams

So, 80 grams costs 9

So, 1 gram =[tex]\frac{9}{80}[/tex] =0.1125

So, it is better to buy 20 g of flour 3 for 3.50

Answer:

10.314

Step-by-step explanation:

Answer:

41. f⁻¹(x) = -9x + 4

43. m⁻¹(x) = ∛(x-2)/4  

Step-by-step explanation:

41. y = (4-x)/9

swap x and y: x = (4-y)/9

solve y: 9x = 4-y

             y = -9x + 4

45. y = 4x³+2

     x = 4y³+2

     4y³ = x-2

     y³ = (x-2)/4

     y = ∛(x-2)/4

Let you do 42 and 46 by yourself

Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

so

green = 3*  yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

30% = green

there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

so

4    are yellow  (10% of 40  or 40* 0.1)

12 are green    (30% of 40  or 40*0.3)

14  are purple  (35% of 40 or 40*0.35)

10  are grey  (25% of 40  or 40*0.25 )

see?  : |

Answer:

2.954545454

Step-by-step explanation:

65/22 = 65 divided by 22. That is how many times 22 can go into 65

A decimal number has a decimal point in it. That is a whole number and some fraction that could be in tenths or otherwise.

65 is the numerator,

22 is the denominator

Using a calculator

65/22 = 2.9545454

Answer:

8x^4

Step-by-step explanation:

x^2*x*8*x

=8*x^4

=8x^4

I believe I am accurate! So sorry if I am mistaken,  I couldn't see the problem perfectly. Also, make sure to have the picture blurry it was very difficult to calculate the correct interpretation (even if I am correct).

Answer: 1210

Step-by-step explanation:

Answer:11

Step-by-step explanation:

Answer:

I think c, - 1.8 is the answer

-1.6 (c)

My reasoning behind this is that the number would be logical considering the fact that the point is close to 0. Also, I ruled out the other choices, and here's how I did it:

I know that A is not the answer because that would make it farther back on the number line and the point B is closer to 0 than it is to 3.8 so, I know that A is not correct.

I know that B is not the answer because -5.23 would be farther behind point A which rules it out entirely.

I know that D is not the answer because 0.1 would be right after point c (0) meaning that the point can be ruled out right away.

That leaves the only logical answer to be C because it is closer to 0 but still in between points A and B.

Hope this helps and have a nice day.

-R3TR0 Z3R0

Answer:

8 units

is the answer I just graphed it

Answer: 56

Step-by-step explanation:

Answer:

x = 55.94 degrees

Step-by-step explanation:

(to find x, use cosine) (cos = [tex]\frac{adjacent}{hypothenuse}[/tex])

First step: write out the equation

⇒ cos x = [tex]\frac{14}{25}[/tex]

Second step: find out what [tex]\frac{14}{25}[/tex]  is

⇒ [tex]\frac{14}{25}[/tex] = 0.56

Third step: find out what the cos-1 of 0.56 is

⇒ cos-1 of 0.56 = 55.94

Fourth step: you got your answer

⇒ x = 55.94