Problem #3
Imagine you are building a triangular garden. Two sides of the garden measure 230 ft and
360 ft and the included angle between these two sides of the garden measures 38°. What is
the measure of the third side?
С
230ft
38
360ft

Answers

Answer 1

Answer:

b = 115.4 feet

Step-by-step explanation:

b^2 = a^2 + c^2 - 2 (a)(b) x cos B

b^2 = 230^2 + 360^2 - 2(230)(360) x cos(38 degrees)

b^2 = 52,900 + 129,600 - 2(230)(360) x cos(38 degrees)

b^2 = 182,500 - 165,600 x cos(38 degrees)

b = [tex]\sqrt{(16,900)(cos(38)) }[/tex]

b = 115.4 feet

i hope this helps!! :)

Answer 2

Answer:

115.4 ft

Step-by-step explanation:


Related Questions

3x-6y=2 and 4x-6y=2 solve by substitution

Answers

first you have to choose one of the equations and isolate one of the variables

3x - 6y = 2

-6y = 2 - 3x

y = 2/-6 + 1/2

then you have to substitute it in the other equation

4x-6(2/-6 + 1/2) = 2

4x + 2  - 3 = 2

4x - 1 = 2

4x = 3

x = 3/4

after that you solve for y

3 (3/4) - 6y = 2

9/4 - 6y = 2

-6y= - 1/4

y= 24

THIS MAY NOT BE RIGHT BTW

Pls pls I just need the equation to this thank you so much!

Answers

Answer:

5.00+5.5+5.10+5.15+5.20+5.25= x

x is whatever the cost is.

if you want x, it is.... 31.2

or

y=5.00+5.5+5.10+5.15+5.20+5.25

If you want the equation in linear form (as in y= _x+b), then it is:

y=0.001x

sorry if im wrong! :D

Step-by-step explanation:

Just ask!

Hope this helps... :)

Tina rolls a dice what is the probability that she rolls a 1 b3 c4 d 3 or 4

Answers

Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

A probability is the number of desired outcomes divided by the number of total outcomes.

In a dice, there are 6 sides, one of which is a roll is 1, then:

[tex]p = \frac{1}{6}[/tex]

There is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

For more on probabilities, you can check https://brainly.com/question/24437717

Find the distance between two points of P(1,2)and Q(3,4)​

Answers

Answer:

I think this is the answer. hope it will help you

Step-by-step explanation:

p={1,2}

Q={3,4}

distance=\sqrt{{(x2-x1)^2-(y2-y1)^2}

=\sqrt(3-1)^2-(4-2)^2}

=\sqrt{(2)^2-(2)^2

=0 units

please mark as brainliest and thank if it helps...

How many real solutions are there to the equation: x + y = 10

don't forget the explanation?​

Answers

Answer:

An infinite amount

Step-by-step explanation:

The domain and range of the equation [tex]x+y=10[/tex] are both [tex](-\infty, \infty)[/tex] or all real numbers ([tex]\mathbb{R}[/tex]). This means the equation takes on any real value for [tex]x[/tex] and [tex]y[/tex]. Therefore, there are an infinite number of real solutions to the equation.

Conceptually this makes sense. For any number we plug in for [tex]x[/tex], we can change [tex]y[/tex] to make [tex]x+y=10[/tex] true. Since there are an infinite number of numbers, there are an infinite number of values we can plug in for [tex]x[/tex] and [tex]y[/tex].

drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number graph.

Answers

Inequalities are used to represent unequal expressions.

The inequalities are given as:

[tex]x - 99 \le -104[/tex]

[tex]x - 51 \le -43[/tex]

[tex]150 + x \le 144[/tex]

[tex]75 < 69 - x[/tex]

Start by solving for x in all the inequalities

[tex]x - 99 \le -104[/tex]

Make x the subject: Add 99 to both sides

[tex]x \le 99 - 104[/tex]

[tex]x \le -5[/tex]

[tex]x - 51 \le -43[/tex]

Make x the subject: Add 51 to both sides

[tex]x \le 51 - 43[/tex]

[tex]x \le 8[/tex]

[tex]150 + x \le 144[/tex]

Make x the subject: Subtract 150 from both sides

[tex]x \le 144 - 150[/tex]

[tex]x \le -6[/tex]

[tex]75 < 69 - x[/tex]

Make x the subject: Add x to both sides, and subtract 75 from both sides

[tex]x < 69 - 75[/tex]

[tex]x < -6[/tex]

Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]

See attachment for the number graphs

Read more about inequalities at:

https://brainly.com/question/11713066

Marco runs 4 kilometers every morning. He takes 2 minutes for the first 500 meters, 4 minutes for the next 2000 meters, 1 minute for the next 700 meters, and 3 minutes for the rest.

Marco’s average speed for the entire run is__320___ meters per minute. Hint : One kilometer is the same as 1,000 meters.

Answers

Answer: 400 meters per minute.

Formula to find average speed: total time / total distance

Total time taken is 2+4+1+3 which is 10 minutes.

Total distance traveled is 4 kilometers.

(Unitary method)

In 10 minutes Marco runs 4 kilometers.

In 1 minute Marco will run 4/10 (0.4)kilometers.

Now to convert 0.4 kilometers to meters,multiply it by 1000.

0.4 * 1000 is 400 meters

so the final answer is he will run 400 meters in 1 minute.

write the equation of the line that is parallel to y=4x+12 through the point (2,3).​

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 12 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

To find c substitute (2, 3 ) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 4x - 5 ← equation of parallel line

Mathematic 14 dont undertsqnd

Answers

Expand the bracket it will be (81)^-8

Now to make it positive just flip it

1/(81)^8

Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st

Answers

The reason why the given graph relation is considered to be a function is because;

A. Yes, because every x-value corresponds with a single y-value.

From the given graph, we see the (x, y) coordinates as;

(5, 4)

(7, 2)

(6, 9)

(3, 10)

Now, we see that none of the x-values are the same and likewise none of the y-values are the same.

This means that each of the x-values have a unique y-value.

Thus, it can be said to be a function

Read more about properties of functions at;https://brainly.com/question/18427017

Is this correct? And if it is, what's the solution?

Answers

Answer:

No the graph is not correct.  The point of intersection is (-3, 4)

Points on line y = x + 7  are  (-3, 4)  (0, 7) and (2, 9)

Points on line y = -1/3x +3  are (-3, 4) (0, 3) and (-6, 5)

Step-by-step explanation:

y = x + 7              do not change

y = -1/3x + 3        substitute into the top equation and solve for x

-1/3x + 3 = x + 7

       -3  =      -3    

-1/3x    =   x + 4  

- x      =   -x        

-1  1/3x =   4

 - 4/3x  = 4            Changed -1 1/3x to -4/3x

   x    =  4/ -4/3

  x =  -3

  y = x + 7

  y = -3 + 7

 y = 4                         Point of intersection is (-3, 4)  

 

Maria earns $12/hour as a store clerk. This week she worked 49 hours. Estimate her
gross wage for her 2 week pay period, assuming she worked 40 hours last week?

Answers

Answer:

a= $1,068 without overtime pay

b= $1,122 with overtime pay

Step-by-step explanation:

[tex]a = (12 \times 49) + (12 \times 40) \\ = 1068[/tex]

[tex]b = (9(12 \times 1.5) + (12 \times 40)) + (12 \times 40)\\ = 1122[/tex]

what do you do to multiplay 100
x 300

Answers

Answer: 30000

Step-by-step explanation:

[tex]100 \times 300\\\\=100 \times 100 \times 3\\\\= 10000\times 3\\\\=30000[/tex]

please help me!

ty :D

Answers

Answer:

x =  3,0 y = 0, -4

Step-by-step explanation:

The x-intercept is the point at which the graph crosses the x-axis.The y-intercept is the point at which the graph crosses the y-axis.Let x be 0.Then, 12x - 9y = 36or, 12(0) - 9y = 36or, -9y = 36or, y = 36 ÷ -9 = -4(x, y) = (0, -4)Now, let y be 0.Then, 12x - 9y = 36or, 12x - 9(0) = 36or, 12x = 36or, x = 3(x, y) = (3, 0)So, x-intercepts are 0 and 3 and y-intercepts are -4 and 0.

Answer:

x - intercept (0, 3)

y - intercept (-4, 0)

Hope you could get an idea from here.

Doubt clarification - use comment section.

1)Kamala’s mother gave her a 100 Rupee note .Kamala bought a pen for Rs.68.50.How much money will be left with her?

Answers

Answer:

100- 68.50 = 31. 50 rupees

Step-by-step explanation:

that is 31 rupees and 50 paise

If e=9, find the value of 4e

Answers

Answer:

y = a e bx, b > 0

Step-by-step explanation:

took this test and got an A++

Answer:

36

Step-by-step explanation:

if e=9 then you multiply 4 by 9. E is known as a varible. Varibles are a way to substitue numbers you do not know.

When factoring the equation 9x2+9x+2 what two numbers will the "9x" term be broken into?

Answers

Answer:

it will be broken into 9*what ever x is

Hope This Helps!!!

Answer:

9×x

Step-by-step explanation:

18+9x+2

20+9×x

that means 9 and x

(25 points) Which statement describes the point (2, 6) ?

The point is on the x-axis.


The point has an x-coordinate of 2 and a y-coordinate of 6.


The point has an x-coordinate of 6 and a y-coordinate of 2.


I don't know.

Answers

The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

The coordinate is written as (x,y)

Here, x is the horizontal distinctions and y is the vertical distinctions.

In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.

Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".

For more about coordinates,

brainly.com/question/7869125

#SPJ2

y+5=2/1(x-2) into standard form​

Answers

[tex](x + 1 - \frac{1}{2} \sqrt{10)} [/tex]

Please Help ASAP!!
Full work shown gets brainliest!!

Answers

Answer:

LR = 17

Step-by-step explanation:

RP is one section of LP (the whole section). Since R is the midpoint of the segment, RP = LR. Hope this helps!

Caleb scores 3 more than 2 times the number of points that Brian scores. Create an expression that represents the number of points Caleb scores if Brian scores r points

Answers

Answer:

r = (x·2) + 3

Step-by-step explanation:

A light bulb can be at most 50 watts to be safely used in this light fixture

Answers

Somewhat true but I need more information to this problem

are 3x + 2 and 3 (x + 2 ) equal

Answers

Answer:

No

Step-by-step explanation:

Parenthesis means to multiply. So, to simplify the expression 3(x + 2), we need to distribute 3. In other words, we need to multiply 3 to x and to 2. Thus 3(x + 2) = 3x + 6.

Plzzzz help mee plzzzzzzz

Answers

Answer:

A. 20%

Step-by-step explanation:

Hope it helps!

Please answer hurrryy

Answers

Answer:

the answer is 270714.285714 or just  270714.2 careful \

Step-by-step explanation:

Karen can type 40 words in 8 minutes. what is her rate in words per minute?

Answers

Answer:

5 words per minute

Step-by-step explanation:

To find her rate in words per minute simply divide the number of words she can type in 8 minutes (40) by 8.

40 / 8 = 5

Her rate is 5 words per minute

What is the Point slope for -4,3 and 4,3? Help plz

Answers

Answer:

y-3=0(x+4)

Step-by-step explanation:

[tex]\text{Given that,}\\\\(x_1,y_1) =(-4,3) ~\text{and}~ (x_2,y_2)= (4,3)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{3-3}{4+4} = \dfrac 08 = 0\\\\\\\text{Point - slope form,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 0(x +4)[/tex]

What number is halfway between 6.7 and 11.9

Answers

Answer:

2.05

Step-by-step explanation:

To find the Median value, we begin by sorting Or arranging our numbers In ascending Or descending order.

-8.8,-5.7,-2.6,0.5,3.6,6.7,9.8,11.9

Having an even (8) number of values, the median is the midway point between the two middle numbers.

In our case the two middle numbers are 0.5 and 3.6

(0.5+3.6)/2

Median=2.05 (In words: two && 5/100)

Please someone help me with this question

Answers

[tex]d = 7[/tex]

- BRAINLIEST answerer

i will make you brainliest

Answers

For the first one x= 10

[tex](1)... \frac{x}{5} = 2 \\ x = 5 \times 2 \\ x = 10 \\ (2).. \frac{a}{3} + 1 = 3 \\ \frac{a + 3}{3} = 3 \\ a + 3 = 9 \\ a = 9 - 3 = 6 \\ (3) \: \: \frac{p}{4} - 1 = 2 \\ \frac{p - 4}{4} = 2 \\ p - 4 = 8 \\ p = 8 + 4 = 12[/tex]

[tex](4) \frac{2x}{5} = 7 \\ 2x = 35 \\ x = \frac{35}{2} = 17.5[/tex]

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