Evaluate the following expressions if x=3.

Please help me with this brainly

Answer:

(i) The distance between B and C is approximately 552.9 m

(ii) ∠ACB is approximately 40.49°

(iii) The bearing of C from B is approximately 184.49°

(iv) The shortest distance from A to BC is approximately 331.155 m

Step-by-step explanation:

The given parameters are;

The length of segment AB = 370 m

The length of segment AC = 510 m

The bearing of B from A = 68°

The bearing of C from A = 144°

(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;

∠BAC = 144° - 68° = 76°

∠BAC = 76°

Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

By substituting the known values, we get;

a² = 510² + 370² - 2 × 510 × 370 × cos(76°)

a² ≈ 397000 - 91301.3234 ≈ 305698.677

BC = a ≈ √(305,698.677) ≈ 552.9

The distance between B and C, BC ≈ 552.9 m

(ii) By sine rule, we have;

a/(sin(A) = b/(sin(B)) - c/(sin(C))

Therefore;

552.9/(sin (76°)) = 370/(sin(C))

sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321

C = arcsine(0.649321) ≈ 40.49°

∠C = ∠ACB ≈ 40.49°

(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°

The bearing of A from B = 360° - (180° - 68°) = 248°

Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°

(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m

Answer:

Cost of one doughnut is $0.25

Step-by-step explanation:

Let the rate of one doughnut = $x

On Saturday he bought a large coffee and 2 doughnuts.

Cost of one large coffee = $1.25

Cost of 2 doughnuts = $2x

Total cost = $(1.25 + 2x)

On Sunday, he bought a small coffee and 5 doughnuts.

Cost of one small coffee = $0.50

Cost of 5 doughnuts = $5x

Total cost = $(0.50 + 5x)

Since, Brian spent same amount of money each morning,

Total expenditure on Saturday morning = Total expenditure on Sunday morning

(1.25 + 2x) = (0.50 + 5x)

1.25 - 0.50 = 5x - 2x

0.75 = 3x

x = $0.25

Therefore, cost of one doughnut is $0.25

Answer:

32.25 miles in 43mins

45miles in an hour

Step-by-step explanation:

Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles

Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles

Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles

Answer:

Addition.

Step-by-step explanation:

you can just use that to figure out how many coins he has. he has a 1.75 add 9.20 and i think thats your answer

Answer:

x=7

Step-by-step explanation:

(12x+1))+(5x-3)=117

conbine like terms

17x-2=117

     +2 +2

17x=119

/17    /17

x=7

Answer: The slope is -1.4

Step-by-step explanation:

m = y2 - y1 / x2 - x1

5 - (-2) / -1 - 4

5 + 2 / -1 - 4

7/-5 (Rise over run)

-1.4 (Slope)

Answer:

0.07017

Step-by-step explanation:

Answer:

i belive it is 2:5

Step-by-step explanation:

this is because 2 and 3 represent both the corn and flour the sum is the total

Answer:

4x +  -6.03 = 2.07

Step-by-step explanation:

first one:

there are four big white boxes so that equals 4x

6 negative ones so its -6

3 negative 0.1 so its -0.3

add up 06 and -0.3 and that's -6.03

second one:

there are two squares that each equal one so that would be two and add the 7 0.1's and that will be 2.07

Answer:

f(10) = 20

Step-by-step explanation:

Since the x is defined, you can plug it in, x=10.

Substitute the x with 10, f(10) = 3(10)-10.

Then, simply the equation, f(10) = 20.

Answer: The answer is 18 feet

Answer:

happy new year

Step-by-step explanation:

Answer:

Negative association

Step-by-step explanation:

As you can see on table y the numbers are going down.

And I am not sure if you understand me but I can't explain very well sorry.

Hope this helped and Goodluck!!!

:D

Answer:

17/25

Step-by-step explanation:

Answer:

10/25

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Step-by-step explanation:

152 = 8(3a - 2)

152 = 8 × 3a - 8 × 2

152 = 24a - 16

152 + 16 = 24a

168 = 24a

a = 168/24

a = 7

Answer:

-7

Step-by-step explanation:

152=8(3a-2)

8(3a-2)=152

8(3a-2)/8=(152){8)

3a-2=19

3a-2+2=19+2

3a=21

3a/3=21/3

a=-7

The product of -1/6 x -3/5 = 1/10

The given expression is,

-1/6 x -3/5

In mathematics, a fraction is defined as a portion of the total. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and assess numbers and speed up calculations. The depiction of fractions appears easier without the use of decimal values.

Now proceed the product,

Multiply numerator with numerator and denominator with denominator,

Therefore,

-1/6 x -3/5 = -1x(-3)/6x5

                = 3/30

                = 1/10

Hence,

-1/6 x -3/5 = 1/10

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Answer:

the answer is option c : 0 zero

Answer:

1.2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

27÷3=9

Answer:

b=3.464 a=2.121

Step-by-step explanation:

Answer:

f (8) = 30

Step-by-step explanation:

[tex]f(x)=4x-2\\\\f(8)=4(8)-2\\\\f(8)=32-2\\\\\boxed{f(8)=30}[/tex]

Hope this helps.

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

Step-by-step explanation:

Given

x² - 9x + 20

= x² - ( 4 + 5) x + 20

= x² - 4x - 5x + 20

= x ( x - 4) - 5 ( x - 4)

= (x - 4)(x - 5)

Hope it will help you :)

Answer:

x^2 -9x+20

Step-by-step explanation:

........

Step-by-step explanation:

y = Total number of miles driven

= Number of days * Number of miles per day

= (x) * (300).

Therefore the equation is y = 300x.

When x = 2, y = 300(2) = 600.

The Nguyen family drove 600 miles during the 2 days.

Answer:

Step-by-step explanation:

SP = CP + markup

Answer:

more information need try maybe 4x-(x3)x(8-0) but im not sure

Step-by-step explanation:

Answer:

y = 3/4 x + 2

Step-by-step explanation:

Answer:

C. 140(7-2)

(i like your pfp)

Answer:

Its C. 140(7-2)

Step-by-step explanation:

Answer:

interpret the question straight comments please

Step-by-step explanation: