The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.​

Answers

Answer 1

[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]


Related Questions

Algebra problem is in the picture attached. PLEASE HELP!

Answers

Answer:

Step-by-step explanation:

Pls help on #7 I will give brainiest ! 7th grade level

Answers

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

what is the slope of the line with the equation: y+6=24-2x

Answers

Answer:

The slope is -2

Step-by-step explanation:

y+6=24-2x

Subtract 6 from each side

y+6-6=24-6-2x

y = 18 -2x

Rewriting

y = -2x+18

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -2 and the y intercept is 18

To find the surface area, Brad splits the figure into two pieces, the rectangular prism and
the triangular prism.
He finds the total surface area of the rectangular prism by finding the area of each face
to get 1,104 cm
He then finds the total surface area of the triangular prism by finding the area of each
face to get 1,008 cm
Finally, he adds the surface areas together to get 2,112 cm.
Is Brad's solution correct? Why or why not?
Select the option that correctly answers both questions.
No, he did not find the correct total surface area for the triangular prism.
O No, he did not find the correct total surface area for the rectangular prism.
No, he needs to subtract the areas of the faces where the two prisms are
attached
Yes, he correctly found the sum of the surface areas for each prism.

Answers

The surface area of the figure is the amount of area covered by the figure.

The figure is not given, so I will give a general solution.

The method followed by Brad to calculate the surface area of the prism is correct.

However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.

So, the conclusion is that:

If Brad's calculation of the surface areas of the prisms is correct, then the surface area of the figure is correct because 1104 + 1008 = 2112.If otherwise, then the solution is incorrect

Read more about surface areas at:

https://brainly.com/question/484723

HELP ASAP PLEASE!!
full work shown gets brainliest!!


What is the product of 8 radical 5and 2 radical 30 in simplest radical form?

Answers

Answer:

= 40√6

Step-by-step explanation:

least common multipler of 8,2:8

Triangle UVW is dilated by a scale factor of 6 to form triangle U'V'W'. Side W'U'
measures 18. What is the measure of side WU?

Answers

Answer:

WU= 3

Step-by-step explanation:

Know that, W'U'÷ (scale factor) = WU

18÷6 is equal to 3

scale factor= 3

3x^3-4x^2-28x-16 divided by 3x+2

Answers

Answer: x^2 - 2x - 8

math
rate of change and show me how u did it:( <3

Answers

Answer:

y = m x + b   equation for a straight line

if x = o then y = 4 from graph

y = 0 + 4            and b = 4

If x = 8 then y = 24 from graph

24 = m * 8 + 4      substituting in our equation

m = 20 / 8 = 2.5      giving slope or rate of change

y = 2.5 x + 4     the final equation with a slope of 2.5

As a check using the graph:

We see that if y = 24 then x = 8

24 = m * 8 + 4      substituting in our equation

m = 20/8 = 2.5 agreeing with the value found

If a = 5, b = 2, c = 4, then 6ab - 2c =

628
52
2
60

Answers

Answer:

52

Step-by-step explanation:

Where you see the letters substitute with the number.

6(5)(2) - 2(4)

60 - 8

=52

Answer: 52 because if you Where you see the letters substitute with the number.

6(5)(2) - 2(4)

60 - 8

=52

like ponitail151 said.

Two weeks ago,a bookstore sold 120 books Last,week,it sold 138 books.find the percent of increase in sales?

Answers

The Formula for this is x2-x1/x1.
It would be a 15% increase.

Answer:

15%

Step-by-step explanation:

[tex]\frac{138}{120}[/tex]×100=

1.15

115%

Increase in 15%

Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.

Answers

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ3

bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat

Answers

The answer is 3/8 that he ate

(-3, 5), (-4, 5) what is the slope

Answers

Answer:

0

Step-by-step explanation:

(5-5)/(-4+3) = 0/-1 = 0

I used a calculator

(-2,-4) reflected across the line y = -1

Answers

(-2, -4) reflected across y=-1 is (-2, 2)

(44+6x) / (16+x) ………

Answers

The answer would be 6- 52/(x+16)
The answer above me is correct

but if simplified it’d be 2(22+3x)/16+x

I don't know what to pick..

Answers

Answer:x=3

Step-by-step explanation:Multiply both sides of equation by four. Subtract 56 from the left and move to the right. Calculate 80-56. Divide by 8 on both sides x=3

Will give BRAINLIEST

Answers

Answer:

Quadrant 4

Step-by-step explanation:

Answer:

3rd quadrant

Step-by-step explanation:

it has the pentagon

Tell whether the ordered pair is a solution to the equation. Please show how you solved it.


(4, 4); y = -x + 8

Answers

Answer:

The ordered pair is a solution to the equation

Step-by-step explanation:

Plug the ordered pair into the equation as (x,y):

y = -x + 8

4 = -4 + 8

4 = 4

Since both sides are equal to each other, then the ordered pair is a solution to the equation.

Yes, it is a solution to the equation.

Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!



Which choice is similar to the figure shown?

Answers

First choice in the upper left corner.


It is the same shape with same proportions, just dilated.
2/5 = 0.4
8/20 = 0.4

There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

62%

Step-by-step explanation:

120-46=74

74/120 don't use

simplify 37/60

to percent; 62%

is y =6x a linear function

Answers

Answer:

Yes

Step-by-step explanation:

Here is the graph!

Yes.

y = 6x is a linear function because it makes a straight line on the graph. Also, the degree is 1.

____

Hope it helps ⚜

(-5) - (+2) + (+2) - (-5)​

Answers

Answer:

the answer will zero for sure

Answer:

0

Step-by-step explanation:

-+ = --- = ++- = -++ = +

-5-2+2+5 = 0

Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.

104
10−4
105
10−5

Answers

Answer:

Hello! Your answer here is 10−5.

Step-by-step explanation:

To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.

Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:

10−5

Ms.yuhas from beloved community charter school is smart and helpful

Answers

Will miss you asked has a beloved community charter school smart and helpful nice just make sure she 6969

A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.

Answers

Answer:C

Step-by-step explanation:

A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?

Answers

Using the t-distribution, it is found that:

a)

The null hypothesis is [tex]H_0: \mu = 3.1[/tex]

The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]

b)

|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.

c) t = 1.853

d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

Item a:

At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:

[tex]H_0: \mu = 3.1[/tex]

At the alternative hypothesis, it is tested if the estimate is not correct, that is:

[tex]H_1: \mu \neq 3.1[/tex]

Item b:

This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05,  hence, the critical value is [tex]t^{\ast} = 2.2[/tex].

Then, the decision rule is:

|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.

Item c:

We can find the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]

[tex]t = 1.853[/tex]

Item d:

Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

A similar problem is given at https://brainly.com/question/24826023

How many solutions does -2(t-4)=10-2t

Answers

Answer:

No Solutions

Step-by-step explanation:

Let's find out.

-2(t-4)=10-2t

-2t+8=10-2t

-2t=2-2t

0=2

Hope this helps :)

I NEED HELP
Find the value

Answers

Answer:

7 and 2?

Step-by-step explanation:

i think because f(2) : f(x)= 5+2x = 7

1cm
1
6 cm
Diagram NOT
accurately drawn
Scm
11 cm
9 cm
| 6cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.

Answers

Answer:

110cm²

Step-by-step explanation:

*Diagram is ALSO not accurately drawn

18cm-6cm-5cm=7cm

11cm-9cm=2cm

Area:

11cm×6cm=66cm²

7cm×2cm=14cm²

6cm×5cm=30cm²

Area of the shape:

66cm²+14cm²+30cm²=110cm²

whats the equation? for the problem

Answers

Answer: YOU DONT GIVE THE PROBLEM

Step-by-step explanation:

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