A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.


a) calculate the perimeter of the plot, to the nearest meter.

b) calculate the area of the plot, to the nearest square meter.

Answers

Answer 1

Answer:

Perimeter = 271 meters

Step-by-step explanation:

third angle measure would have to be 180 - 122 = 58 degrees

you can use the law of sines:

sin 58° = sin 74°

   90           b

.85 = .96

 90       b

cross-multiply:  .85b = 86.4

                          b = 102

now do again to find third side:

sin 58° = sin 48°

   90           c

.85 = .74

 90       c

.85c = 67

c = 79

now you know all 3 sides so add them to get perimeter (79+102+90) = 271


Related Questions

please can someone help me really fast! i need youuu please it would be a massive help :))

Answers

2c+3a=61
3c+5a=96

6c+9a=183
-6c-10a=-192
-a=-9
The cost of an adult ticket is £9
2c+27=61
c=1/2 * 34 = 17
The cost of a child ticket it £17

OKK almost done pls tell me if you can!!!!

Answers

Step-by-step explanation:

(3*4+1) / 4. * (2*5+3) / 5

= 13/ 4 * 13 /5

= 169/20

Answer:

(8 9/20)(x)

Step-by-step explanation:

Need help asap! What is x and y?

Answers

Answer:

C

Step-by-step explanation:

I THINK THAT IS THE ANSWER.

The mass of a large car is 1200 kg. How much force would be required to accelerate the car at a rate of 5 m/s2?

Answers

Answer:

6000/s^2

Step-by-step explanation:

Answer  6000/s^2

Step-by-step explanation:

I would really appreciate it if someone could help and explain too, please

Answers

Answer:

A. $101/month

Step-by-step explanation:

From January to February, it changes by 195

From February to March, it changes by -72

From March to April, it changes by 180.

Now, you just find the average of these three numbers.

195 - 72 + 180 = 303

303 / 3 = 101

This means that the answer is A. $101/month

Write the equation of the line that passes through the point (1,4) and is parallel to y=5

Answers

Answer:

The equation of the desired line is thus y = 4

Step-by-step explanation:

A line parallel to y = 5 is a horizontal line.  The x-coordinate of every point on this line can take on any x-value; the y-coordinate is always 5.

The line that passes through the point (1, 4) has the constant y-coordinate 4, whereas x can take on any value.

The equation of the desired line is thus y = 4; this line passes through (1, 4) as required and is parallel to y = 5.

Are x+x^2 and u+u^2 the same function? If x and u are for all real numbers? A- these are the same function B- If x and u are two different numbers, the functions are different C- there is not enough information to answer this question.

Answers

Answer:

(a) These are the same function

Step-by-step explanation:

Given

[tex]x + x^2[/tex] and [tex]u + u^2[/tex]

Required

Are they the same?

Yes, they are the same function and this is proved below.

[tex]x + x^2[/tex]

Represent as a function:

[tex]f(x) = x + x^2[/tex]

[tex]u + u^2[/tex]

Represent as a function

[tex]f(u) = u + u^2[/tex]

Let x = u

Substitute u for x in [tex]f(x) = x + x^2[/tex]

[tex]f(u) = u + u^2[/tex]

This implies that:

[tex]f(x) = f(u)[/tex]

[tex]x + x^2 =u + u^2[/tex]

PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers

Hence:

(b) and (c) are wrong

help please!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  a) $336

  b) $1036

Step-by-step explanation:

a) The interest is computed using the formula ...

  I = Prt

where P is the amount invested at rate r for t years.

  I = $700·0.08·6 = $336

The interest earned is $336.

__

b) The balance of the account is the sum of the original amount and the interest earned:

  balance = $700 +336 = $1036

The balance of the account is $1036.

for each value of y , determine whether it is a solution to 3y<24.​

Answers

Answer:

1) No

2) Yes

3)No

4)Yes

Step-by-step explanation:

1) 3(8) is simplified to 24

But 24 < 24 is not a true statement because they are both equal.

2)  3(5) is simplified to 15

15 < 40 is a true statement because 15 is less than 24

3) 3(11) simplifies to 33

33 < 24 is not a true statement because 33 is more than 24

4) 3(6) simplifies to 18

18 < 24 is a true statement because 18 is less than 24

Hope this helped.

Please hurry it’s 100 points

Answers

Answer:

I Believe B

Step-by-step explanation:

Hope this helps:)

Answer:

B

Step-by-step explanation:

Its B

Suppose that Omar's marginal utility for cups of coffee is constant at 1.5 utils per cup no matter how many cups he drinks. On the other hand, his marginal utility per doughnut is 10 for the first doughnut he eats, 9 for the second doughnut he eats, 8 for the third he eats, and so on (that is declining 1 unit for each additional doughnut consumed). Suppose that coffee costs $1.00 per cup and doughnuts $1.00 each, and Omar has a budget that he can spend only on doughnuts and coffee. How large would his budget need to be before he would spend a dollar on coffee?

Answers

Answer:

$6.5

Step-by-step explanation:

The marginal utility per dollar of a commodity is obtained by:

Marginal utility of coffee = 5.5

Price of coffee = $1

The marginal utility of doughnut declines by 1 per additional unit of donut consumed :

10 / 1, 9 /1..... 1/1

Therefore , before a dollar can be spent on coffee, then the marginal. Utility of coffee should be greater than doughnut.

5.5 doughnuts will be purchased, at this time marginal utility of doughnut will be 5.5/1, the 6th doughnut will have a marginal utility of 5 which is less than that of coffee.

Cost of 5.5 donuts = $5.5

Cost of coffee = $1

Total = $(5.5 + 1) = $6.5

1 - 2k + 5k <_ -4 + 3k

Answers

Answer:

No solution.

Step-by-step explanation:

1-2k+5k<-4+3k  Combine like terms on each side wherever you can.

1+3k<-4+3k        Subtract -3k on both sides (it's less confusing when you get

  -3k      -3k        rid of the variable first).

1<-4                     1 is not less than or equal to -4, so there is no solution.

I hope this helped you out!! Have a great day (*^3^)╭

Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?

Answers

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]

[tex]AC^2=289+169-442*0.7431[/tex]

[tex]AC^2=129.53[/tex]

[tex]AC=\sqrt{129.53}[/tex]

AC=11.38 cm

6x+3 what is the value of x?

Answers

Answer:

3

Step-by-step explanation:

6x+3

6+6+6=18

or 6 divided by 2 which is 3

help , read the question. please help me

BRAINLIEST !

Answers

Answer:

9.76 years turns 900 dollars into 1200 dollars.

Step-by-step explanation:

A(t) = 900*(1.03)^t

1200 = 900 * (1.03)^t       Divide by 900

1200/900 = (1.03)^t

1.333 = 1.03^t                   Take the log of both sides.

log(1.3333) = t * log(1.03)log 1.3333 = .1249log 1.03     = .0128

1.249 = 0.0128*t

1.249/0.0128 t = 9.76 years.

Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile.
If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now?
Select all that apply.

Answers

Answer:

The correct options are;

A. [tex]-\dfrac{8}{3} \ miles[/tex]

D.  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Step-by-step explanation:

The given parameters are;

The distance Sasha travels down before a stop = -2/3 mile

The level at which Sasha starts to hike into the canyon = Sea level

Therefore, we have;

Her elevation at the fourth rest station = 4 × -2/3 mile = -8/3 miles

Therefore, we have;

-8/3 mile = [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Therefore, the correct options are;

-8/3 mile and  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level.

help please !! thank you!

Answers

Answer:

.5

Step-by-step explanation:

if you put ur mouse on -2 then move to the right 1.5 you will get .5

Hope this Helps!!!

Answer:

-.5

Step-by-step explanation:

1.5 +-2 is -.5 hope this helps

when you spin a 2D triangle, it looks like a 3D pyramid. true or false

Answers

Answer:

False

Step-by-step explanation:

False?? Sry if I’m wrong

Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves.

Write an expression in two different ways to represent the amount their parents will pay Abigail and her sister for working the same number of hours
I dont get help me

Answers

Answer: (MAKE ME BRAINLIST PLEASE)

Answer: For Abigail W = $5t

For her younger sibling W= $3t

Bit by bit clarification:

How about we address the compensation with W

t as the time spent on work in hours

Abigail will be paid $5 every hour, her all out compensation will be

W(abg) = $5t

Her younger sibling will be paid $3 every hour, her complete compensation will be

W(lts) = $3t

Write an expression for the perimeter in simplest form.


A) 3x + 3
B) 3x3 + 18
C) 3x + 9
D) 3x + 5 ​

Answers

.............The answer is B

Simplify the expression:



4b - 24 + 19

4p - 5p - 30p

4.2v - 5 - 6.5v

Answers

For the first expression we will only simplify the constants:

4b - 24 + 19 ——> 4b - 5

The second expression only has variables so we simplify the whole expression

4p - 5p - 30p = -31p


The third expression we will only simplify the variables

4.2v - 5 - 6.5v ——> -2.3v - 5

Solve each equation by completing the square. n^2 - 6n + 6 = -2​

Answers

ExplanationSeparate the constant out of expression.

[tex]( {n}^{2} - 6n) + 6 = - 2[/tex]

Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.

[tex]( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1[/tex]

Square Root both sides to get rid the squared expression. Make sure to write plus or minus.

[tex] \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1[/tex]

[tex]n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2[/tex]

Answer

[tex] \large \boxed {n = 4,2}[/tex]

A mathematics class consists of 55 boys and 65 girls .what is the ratio of girls to the total numbers of students? *
11:13
13:11
13:24
11:24



Answers

Answer:

I think it's maybe 11:55

Answer:

11:13

Step-by-step explanation:

Just simplify 55:65, by dividing by 5

What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form

Answers

Answer:

slope or m= -5/2

Step-by-step explanation:

With Big Phone Company, you pay $0.39 for the connection and $0.03 per minute
With LittlePhone Company, you pay $0.25 for the connection and $0.07 per minute
If you plan on making a call that will take at least 4 minutes, which company offers the better
deal?
A. Both companies will charge the same amount.
B. There is not enough information.
C. BigPhone company offers the better deal for this call.
D. LittlePhone company offers the better deal for this call

Answers

the answer us D i think

Big Phone Company offers a better deal for this call.

Option C is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Big Phone Company:

Cost after 4 minutes.

= 0.39 + 4 x 0.03

= 0.39 + 0.12

= $0.51

LittlePhone Company

Cost after 4 minutes.

= 0.25 + 4 x 0.07

= 0.25 + 0.28

= $0.53

Thus,

The Big Phone Company charges less as compared to the LittlePhone Company after using it for 4 minutes.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

PLEASE HELP!


Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.

Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24

Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.

Answers

Answer :

The value that makes the equation true is Paula 62

Step-by-step explanation:

Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true

all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla

Sophia

a = 318

5a + 8

= 5(318) + 8

as we can see this is not equal to 318

George

For George, we substitute a for 417

That will be;

5(417) + 8

This is not 318

for Nancy

5(310) + 8

This is not equal to 318

for Hank

we have a as 136

5(136) + 8

This is not equal to 136

for Paula

5(62) + 8

= 310 + 8 = 318

we can see this is correct

for Gavin,

5(24) + 8

= 128 which is not equal to 318

The only equal value is that of Paula which is our answer

Answer:

Gorilla Weight

(pounds) Plugged into

5a + 8 = 318 True or False?

George 417  

5(417) + 8 = 318

2,093 = 318

false

Nancy 310  

5(310) + 8 = 318

1,558 = 318

false

Hank 136  

5(136) + 8 = 318

  688 = 318

false

Paula 62  

5(62) + 8 = 318

 318 = 318

true

Gavin 24  

5(24) + 8 = 318

 128 = 318

false

Step-by-step explanation:

is 4x5 equivalent to 4x+9
Hurry hurry

Answers

No it is not equivalent

Answer: yes

Step-by-step explanation:

what is the degree of the polynomial -x^4+10x^3+x-7

Answers

Answer:

7

Step-by-step explanation:

You can find the degree of a polynomial by adding all of the exponents on a specific variable.

Substitute y=-2x+5 into 2y=2x-8 and solve for x
(help me asap please)!!

Answers

Answer:

x = 3

Step-by-step explanation:

2y = 2x - 8

2(-2x + 5) = 2x -8

-4x + 10 = 2x - 8

+4x           +4x

10 = 6x - 8

+8        +8

18 = 6x

divide both sides by 6

x = 3

Hope this Helps!!!

y = 3x + 5
y = 4x2 + x

Answers

Answer:

8x and 4x(2) + 5

Step-by-step explanation:

It doesn't make sense but I am pretty sure this is correct

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