Help with the whole thing please and thanks

Answer: The answer is 18 feet

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: 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)

9514 1404 393

Answer:

  c  4 times

Step-by-step explanation:

If the side lengths of the original triangle are AB, BC, and CA, then those of the dilated triangle are 4AB, 4BC, 4CA.

The sums of these are the perimeters.

  P = AB +BC +CA

  perimeter of XYZ = 4AB +4BC +4CA = 4(AB +BC +CA) = 4P

The perimeter of XYZ is 4 times the perimeter of ABC.

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:

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:

3[tex]\sqrt{3}[/tex] and [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Simplifying surds is similar to collecting like terms in algebra.

If the surds have the same value then collect them by adding/ subtracting their coefficients.

(a)

[tex]\sqrt{3}[/tex] (7 - 2 + 1 - 3)

= [tex]\sqrt{3}[/tex] (3)

= 3[tex]\sqrt{3}[/tex]

(b)

[tex]\sqrt{7}[/tex] (5 + 4 - 8)

= [tex]\sqrt{7}[/tex] (1)

= [tex]\sqrt{7}[/tex]

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

Answer:

Step-by-step explanation:

this is a difference of two squares.. so you need a changing sign in the two parenthesis  ( - ) ( + )  like that form  and you'll need two 5  and two 8   each with an x and y   sooo  B looks pretty good

Answer: 7/8

Step-by-step explanation: First you have to multiple 3/4 by 2 so it would be 6/8 and then add it to the 1/8 and it'll be 7/8 correct me if I'm wrong.

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

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:

4 gallon = 16 quarts

Step-by-step explanation:

Consider the provided information.

We need to convert gal into qt

We know that 1 gallon = 4 quarts

Now in the given question, we have 4 gal.

Multiply both the sides by 4

1×4 gallon = 4×4 quarts

4 gallon = 16 quarts

Hence, 4 gallon is equal to 16 quarts.

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:

........

Answer:40$

Step-by-step explanation: if all the prices are equal we 150-30equels 120 ➗ 3 equals 40 hope this helps

Answer:

0.07017

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:

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:

C.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A triangle always has a degree total of 180. x+y=116 180-116=64 therefore the last angle, angle c, must be 64 degrees.

Answer: B. 64 degrees

Step-by-step explanation:

∠C = 180° - (∠X + ∠Y)

∠C = 180° - (32° + 84°) = 180° - 116° = 64°

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.

Answer:

-6

Step-by-step explanation:

(-6)(0)-6=-6

I hope this helps you

Answer:4 tacos for 3.40 dollars

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.