Please help!! If correct, get brainliest!

Answer:

l = 16/9 inches and w = 3/4 * 16/9, which equals 4/3

Step-by-step explanation:

A=l*w

16/9 * 4/3 = 64/27 = 2 10/27 sq in

Part (a)

Focus on triangle PSQ. We have

angle P = 52

side PQ = 6.8

side SQ = 5.4

Use of the law of sines to determine angle S

sin(S)/PQ = sin(P)/SQ

sin(S)/(6.8) = sin(52)/(5.4)

sin(S) = 6.8*sin(52)/(5.4)

sin(S) = 0.99230983787513

S = arcsin(0.99230983787513)

S = 82.889762826274

Which is approximate

------------

Use this to find angle Q. Again we're only focusing on triangle PSQ.

P+S+Q = 180

Q = 180-P-S

Q = 180-52-82.889762826274

Q = 45.110237173726

Which is also approximate.

A more specific name for this angle is angle PQS, which will be useful later in part (b).

------------

Now find the area of triangle PSQ

area of triangle = 0.5*(side1)*(side2)*sin(included angle)

area of triangle PSQ = 0.5*(PQ)*(SQ)*sin(angle Q)

area of triangle PSQ = 0.5*(6.8)*(5.4)*sin(45.110237173726)

area of triangle PSQ = 13.0074347717966

------------

Next we'll use the fact that RS:SP is 2:1.

This means RS is twice as long as SP. Consequently, this means the area of triangle RSQ is twice that of the area of triangle PSQ. It might help to rotate the diagram so that line PSR is horizontal and Q is above this horizontal line.

We found

area of triangle PSQ = 13.0074347717966

So,

area of triangle RSQ = 2*(area of triangle PSQ)

area of triangle RSQ = 2*13.0074347717966

area of triangle RSQ = 26.0148695435932

------------

We're onto the last step. Add up the smaller triangular areas we found

area of triangle PQR = (area of triangle PSQ)+(area of triangle RSQ)

area of triangle PQR = (13.0074347717966)+(26.0148695435932)

area of triangle PQR = 39.0223043153899

------------

This value is approximate. Round however you need to.

===========================================

Part (b)

Focus on triangle PSQ. Let's find the length of PS.

We'll use the value of angle Q to determine this length.

We'll use the law of sines

sin(Q)/(PS) = sin(P)/(SQ)

sin(45.110237173726)/(PS) = sin(52)/(5.4)

5.4*sin(45.110237173726) = PS*sin(52)

PS = 5.4*sin(45.110237173726)/sin(52)

PS = 4.8549034284642

Because RS is twice as long as PS, we know that

RS = 2*PS = 2*4.8549034284642 = 9.7098068569284

So,

PR = RS+PS

PR = 9.7098068569284 + 4.8549034284642

PR = 14.5647102853927

-------------

Next we use the law of cosines to find RQ

Focus on triangle PQR

c^2 = a^2 + b^2 - 2ab*cos(C)

(RQ)^2 = (PR)^2 + (PQ)^2 - 2(PR)*(PQ)*cos(P)

(RQ)^2 = (14.5647102853927)^2 + (6.8)^2 - 2(14.5647102853927)*(6.8)*cos(52)

(RQ)^2 = 136.420523798282

RQ = sqrt(136.420523798282)

RQ = 11.6799196828694

--------------

We'll use the law of sines to find angle R of triangle PQR

sin(R)/PQ = sin(P)/RQ

sin(R)/6.8 = sin(52)/11.6799196828694

sin(R) = 6.8*sin(52)/11.6799196828694

sin(R) = 0.4587765387107

R = arcsin(0.4587765387107)

R = 27.3081879220073

--------------

This leads to

P+Q+R = 180

Q = 180-P-R

Q = 180-52-27.3081879220073

Q = 100.691812077992

This is the measure of angle PQR

subtract off angle PQS found back in part (a)

angle SQR = (anglePQR) - (anglePQS)

angle SQR = (100.691812077992) - (45.110237173726)

angle SQR = 55.581574904266

--------------

This value is approximate. Round however you need to.

Answer:

We know Mr. Jackson will have to pay 0.55 dollars per mile and that he's traveling 61 miles, so, if we want to know. how much will he pay, we can multiply the quantity of miles (61) per the cost of these:

0.55 * 61 = 33.55

So we know he will have to pay 33.55 dollars, and, as the travel is round, considering he will travell the same quantity of miles, he will pay twice

33.55 * 2 = $67.10

He has more budget than the needed for the travel

Answer:

Mr. Jackson will be under his budget.

Step-by-step explanation:

We know that Mr. Jackson has a budget of only $70 for the trip. We know that the trip will be reimbursed $0.55 per mile. Mr. Jackson is traveling 61 miles. Therefore, we need to multiply $0.55 by 61.

61 x 0.55 = $35.55

Since $35.55 is less than $70, he will be under his budget.

Hope this helps! :D

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3(x + 10) + 6 = 3(x + 12)

Step 2: Solve for x

Here we see that x does indeed equal x. We can plug in any number x and it would render the equation true.

∴ x = infinite amount of solutions

Answer:

infinitely many solutions / all solutions

Step-by-step explanation:

17/20 = t + (- 13/20)

t = 17/20 + 13/20

t = 30/20

t = 1.5

The numbers are 17 and 39

We can use a system of equation to solve this

x=2y+5

x+y=56

Solving...

2y+5+y=56

3y=51

y=17

x=2(17)+5

x=39

Answer:

You sold 20 student tickets.

Step-by-step explanation:

Given that:

Total tickets sold = 27

Total amount collected = $170

Cost of student ticket = $5

Cost of adult ticket = $10

Let,

x be the number of students tickets sold

y be the number of adult tickets sold

x+y = 27          Eqn 1

5x+10y=170     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=27)

10x+10y=270     Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(5x+10y)=270-170

10x+10y-5x-10y=100

5x=100

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]

Hence,

You sold 20 student tickets.

Answer:

X=7

Step-by-step explanation:

Hope this helps, have a good day

Answer:

both numbers are negative

negative number is greater than the positive number

Step-by-step explanation:

In order to add two rational numbers and get a negative value, one of two scenarios should occur:

1- both numbers are negative.

2- negative number is greater than the positive number

Answer: its B

Step-by-step explanation: i've done this test before

Answer:

the answer is b

Step-by-step explanation:

because i have done this question before

Answer:

0.7

Step-by-step explanation:

To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.

Answer:

54°

Step-by-step explanation:

∠A = 2x + 10, ∠C = 3x - 14

∠E + 266 = 360 (sum of angles around a point)

∠E = 360 - 266

∠E = 94°

AB is parallel to line BD. Lets draw a line cuts line AB and line BD to form ∠B and ∠D. Hence:

∠B + ∠D = 180° (sum of interior angles on the same side)

∠A + ∠B + ∠C + ∠D + ∠E = 540° (sum of angles in a pentagon)

2x + 10 + 3x - 14 + 94 + 180 = 540

5x + 270 = 540

5x = 540 - 270

5x = 270

x = 54°

Answer:

Splash Mountain = $7.25

Centrifugal Chamber= $5.25

Step-by-step explanation:

Click On Link For Work

Answer:

y intercept: (0,4)

Step-by-step explanation:

Answer:The answer is B cause the 0 repeats multiple times

Step-by-step explanation:

Answer: Choice C

x+y = 28

3x+4y = 100

===================================================

Explanation:

x and y are placeholders for nonnegative whole numbers.

Specifically,

x = number of three point questions

y = number of four point questions

Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.

------------

Now let's form the second equation:

x = number of three point questions

3x = points we get from all the three point questions

y = number of four point questions

4y = points we get from all the four point questions

3x+4y = all points possible

3x+4y = 100  is the second equation

------------

So we have this system

[tex]\begin{cases}x+y = 28\\3x+4y = 100\end{cases}[/tex]

which fits the conditions in the instructions.

Answer:

A (7)

Step-by-step explanation:

14/2=7

Answer:

i think its a) 7

Step-by-step explanation:

From what i learned, to find the unit rate/slope you must do y/x or rise/run. In this case 14 is y and 2 is x. You divide 14 by 2 and get 7! Hope this helps! Brainliest would be much appreciated! <3

Answer:a

Step-by-step explanation:

Answer:

Store B because if you take 2.48 divided by 3 to figure out the cost per can aka one can  it will be 0.826 repeating and that's for store A . While store B you take 4.5 divided by 6 to and get 0.75 per can so Store B is the best option since 0.75 is smaller than 0.826.

Answer:

V

≈

179.59in³

Step-by-step explanation:

Answer:

7 6

Step-by-step explanation:

Answer:

i think it 7 6

Step-by-step explanation:

Answer:

x=3

Explanation: 11-5=6

6/2= 3

Plug 3 into the equation and you get 2x3+5=11 which 2x3=6 and 6+5=11

Step-by-step explanation:

3 ( _3 ) 2 + 5 ( -3 ) - 14 = _2

.........

Answer:

A) x = -3

the line is undefined

The equation of the graphed line written in slope-intercept form is x = -3

The graphed line in slope-intercept form, y = mx + b

To Convert it into the standard form of the equation, ax + by = c.

Consider that the points be (0, 3) and (5,0).

A Slope exists how many units it brought to go vertically or horizontally.

Which Slope doesn't exist.

The y-intercept in slope-intercept form, y = mx + b  

where, m = undefined

x = -3

Therefore, the correct answer is option (A), x = -3 because the line is undefined.

To learn more about slope-intercept form

brainly.com/question/12005129

#SPJ7

Answer:

A.Yes.1st group is nothing ,the 2nd group is nothing,and so on .The 4th group is which does not equal 256 is the correct answer

Answer:

31

Step-by-step explanation:

PEMDAS

16(2) * 0.

32 * 0

=0

2(2) * 2

=8

8 * 4 - 1

32 - 1 = 31

Answer:

Its 6. Trust me.

Step-by-step explanation:

Answer:

The graph increases if the line goes upwards. (The end of the segment is above the start of the segment)

The graph decreases if the line goes downwards. (The end of the segment is below the start of the segment)

The graph is constant if the line is horizontal. (The end of the segment is at the same height as the start of the segment)

Then:

The graph of the function is increasing in the segments c and e.

The graph of the function is decreasing in the segments a and f.

The graph of the function is constant in the segments b and d.