does anyone know how to solve this using the sine rule?

Answer:

see explanation

Step-by-step explanation:

10^3x=98

1000x=98

x=98/1000

x=49/500

x=0.98

if it is rounded to the nearest hundredth then x=0

Answer:

The difference of weight is [tex]2[/tex] pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of [tex]9[/tex] grapefruits

To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex]  grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]

[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]

Now, we know that,

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many  grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of  [tex]\frac{3}{2} lb[/tex] and how many points there are about class of   [tex]\frac{5}{4} lb[/tex].

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]

Where

[tex]Z[/tex]: Weight difference

[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex]  grapefruit

[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit

Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex]  and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex]  pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]

Now,

[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]              

[tex]=\frac{9}{2} -\frac{5}{2}[/tex]                    

[tex]=\frac{4}{2}[/tex]            

[tex]=2[/tex]

Hence, for this case, the difference of weight is [tex]2[/tex] pounds.

Answer:

-3

Step-by-step explanation:

[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]

Answer:

-3

Step-by-step explanation:

i forgot how to do the log thingy but the guy on top is also correct

Answer:

its the second i hope that helped

Answer:

23 orange pins did Shelby receive.

Step-by-step explanation:

25% = 0.25

92 × 0.25 = 23

Answer:

answer would be:

The range of the graph is all real number.

AND

The domain and range of the graph are the same.

Step-by-step explanation:

Answer: She can take 25 students.

Step-by-step explanation:

If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25

Answer:

I think 25 students

Step-by-step explanation:

Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)

Answer:x=0

Step-by-step explanation: maybe.....

Answer:

Step-by-step explanation:

Initial value of house:

Yearly increase rate of value:

Time

Since the increase is concerning the current price it would be exponential growth.

The function would be:

For t= 13 we get:

Profit made would be:

Correct option is D.

Answer:

Cost of Tammy's house =$184000

Rate of interest = 3.5% per annum

After 13years price will be

[tex]P(t) = 184000 {(1 + \frac{3.5}{100}) }^{t} \\ P(t) = 184000 {(1 + 0.035)}^{t} \\ P(13) = 18400 {(1.035)}^{13} \\ P(13) =\$ 287768[/tex]

Total profit= $(287767-184000)= $103768

Answer:

180cm

Step-by-step explanation:

4cm*5cm*9cm=

Answer:

180

Step-by-step explanation:

Length=9cm

Height=5cm

Width=4cm

So,

9cm×5cm×4cm

=9cm×20cm

=180cm³

Answer:

Step-by-step explanation:

a = 3

b = 2

c = 12

3a+2b-6c

3(3)+2(2)-6(12)

-59?

Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

Answer:

B . 980 just trust me

Step-by-step explanation:

You set up proportions

Answer:

-1

Step-by-step explanation:

you do 1/1 which is 1. because the line is negative, the answer is -1

Answer:

30.9

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

here you go mate

step 1

7(n+4)= 21  equation/Question

step 2

7(n+4)= 21  simplify

7n+28=21

step 3

7n+28=21  subtract

7n=-7

step 4

[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide

answer

n=-1

Answer:

x = 70

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then

45 + 2x - 5 = 180, that is

2x + 40 = 180 ( subtract 40 from both sides )

2x = 140 ( divide both sides by 2 )

x = 70

Answer:

The order is from top to bottom just an FYI :)

First blank: 1

Second blank: 7

Third blank: 4

Step-by-step explanation:

I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.

Answer:

A) 29.0 mpg

you divide 471 by 16.25

Answer:

3 in a half miles

Step-by-step explanation:

Answer:

x = (h-12y-2)/4

Step-by-step explanation:

Here, we want to make x the subject of the formula

We have this as:

h = 4x + 12y + 2

4x = h-12y-2

x = (h-12y-2)/4

Free coinssss!!!!!!

Answer:

I think the answer is...

26

Step-by-step explanation:

thank you for my free coins

Answer:

1/2 of 6 = (1/2)*6 = 0.5*6 = 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2/3 hr

3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hrs

9/2 oz = 2/2 hrs .... divide both sides by 2

4.5 oz = 1 hr

She drinks 4.5 ounces of water in 1 hour.

Answer:

3% = 0.03

verified with calculator

Answer:

The answer is 5.

Step-by-step explanation:

The distance formula is ↷

[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]

All we got to to do right now is plug in!

[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]

Therefore, the distance between 3,4 and 3,9 is 5.

Answer:

h = 24 cm

Step-by-step explanation:

By using the similar triangle property in the given triangles,

Since, ΔBCD ~ ΔBAE

Their corresponding sides will be in the same ratio,

[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]

[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]

[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]

10h = 20(36 - h)

10h = 720 - 20h

30h = 720

h = 24 cm

Therefore, height h = 24 cm is the answer.

Answer:

24

Step-by-step explanation:

I took the test