In the figure below, what is the value of x

Answer:

a) i) The drawing of Zeno's route is attached

ii) The bearing of Zeno's return journey is 241° from point C to point A

b) Yes, Zeno returns to Port A before 5.15pm

Step-by-step explanation:

a) i) Please find attached the drawing of Zeno's route

ii) From the attached diagram of Zeno's route created with Microsoft Whiteboard, we find the bearing of his return journey as 241° from point C to point A

b) The distance from point C to point A = 10·√5 km

The speed with which Zeno sails as he returns = 10 km/h

The time it takes Zeno to return t = Distance/Speed

∴ The time it takes Zeno to return t = 10·√5 km/(10 km/h) = √5 h ≈ 2.2361 hours ≈ 2 hours 14 minutes and 9.845 seconds

The time Zeno arrives at point A from point A ≈ 3.00 pm + 2 hours 14 minutes and 9.845 seconds = 5:14.1641 p.m. ≈ 5:14 pm.

Therefore, Zeno returns to Port A before 5.15pm.

Answer:

2

Step-by-step explanation:

10-5=5

5-5=0

Answer:

1443

Step-by-step explanation:

Answer: The discount price is $11.60. The discount is $46.40. (I didn't know which answer you wanted)

Step-by-step explanation: First, you need to find the discount. To do that, all you need to do is multiply 58 by 80/100 (this is still equal to 80%). You should get 46.40 (you might get 46.4 but it's the same thing), Then, subtract 46.40 form 58. You should get 11.60. So your final answer should be $11.60.

Answer:

it should be this

Step-by-step explanation:

y= 1/3 and then -4

Answer:

simplified the answer ( i think) is [tex]-\frac{3}{56}[/tex]

Step-by-step explanation:

Thank you for being so polite you were when u asked ur question, really hope this helps

Answer: 1 : 3

Step-by-step explanation:

The yellow tiles form 25% of the whole pattern.

The red tiles will therefore form 75% of the whole pattern.

Ratio of Yellow tiles to Red tiles is;

25 : 75

Simplest form. Divide each side by 25;

= 1 : 3

Answer:

25%

Step-by-step explanation:

20-16=4

So

16…4

1 … 4/16

100…4/16×100

1/4×100

25%

Answer:

A) 0

Step-by-step explanation:

hope this helps, pls mark brainliest :D

A = L x W

W = A/L

W = 32/6

W = 5.333

Answer:

hi its 1

Step-by-step explanation:

Answer:

0 and above

Step-by-step explanation:

Hope this helps.

Denominators= 4 and 6.

LCM of 4 and 6= 12

So, The answer is 12

Hope it helps!

Answer:

The least common denominator of 1/4 and 5/6 is 12

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 20, 24...

Multiples of 6: 6, 12, 18, 24, 30, 36...

Answer:

( √15 + 8)/7

Step-by-step explanation:

TanA = -√15

.we are to find tan(A-π/4).

In trigonometry

Tan(A-B) = TanA - TanB/1+ tanAtanB

Hence:

tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4

Substitute tan A value into the formula

tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4

tan(A-π/4) = -√15-1/1-√15

Rationalize

-√15-1/1-√15 × 1+√15/1+√15

= -√15-√225-1-√15/(1-√225)

= -2√15-15-1/1-15

= -2√15 -16/(-14)

= -2(√15+8)/-14

= √15 + 8/7

Hence the required value is ( √15 + 8)/7

Answer:

Probably D ( -√15-1/1-√15)

Step-by-step explanation:

it was in adidemiokin's answer before they rationalized it. Couldn't find the darn answer anywhere else.  I'm on my 3rd attempt on the EDGE precalc Unit test hopefully D is right.

Answer:

$38.40

Step-by-step explanation:

Answer:

384 m³

Step-by-step explanation:

Let the dimension of box a be l,b, and h.

ATQ,

lbh = 48 .....(1)

If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.

Let V be the volume of box B.

V = (2l)(2b)(2h)

V = 8(lbh)

= 8(48) [from equation (1)]

= 384 m³

Hence, the volume of the box B is 384 m³.

Answer:

1680

Step-by-step explanation:

Considering repeatition is not allowed.

We can  use permutation to reach to the required answer.

Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.

Therefore, Total numbers = 5×8×7×6 = 1680

Answer:

All real numbers

Step-by-step explanation:

Domain corresponds to values of x on the x-axis here in the graph we see that the graph of f(x) = |x + 2| exists on every value of x either positive or negative like a point as (1 , 3) , (-3 , 1) , (-2 , 0) so its domain is actually

-∞ < x < ∞

meaning that the graph exists from negative infinity to positive infinity on the x-axis which means All real numbers.

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

I dont know the answer but I know you should make a graph for it and it will tell u the answer I will try and take a photo

Answer:

[tex]x = \$28.5[/tex]

Step-by-step explanation:

Given

Variation: Direct Proportion

[tex]3.2m = \$38[/tex]

Required

Determine the cost of 2.4m length

Represent the cost of 2.4m length with x

So, we have:

[tex]3.2m = \$38[/tex]

and

[tex]2.4m = x[/tex]

Cross Multiply:

[tex]3.2m * x = \$38 * 2.4m[/tex]

[tex]3.2 * x = \$38 * 2.4[/tex]

Solve for x

[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]

[tex]x = \frac{\$91.2}{3.2}[/tex]

[tex]x = \$28.5[/tex]

Hence, the cost of 2.4m length is $28.5

Answer:

[tex]\huge\boxed{B.\ T>-72}[/tex]

Step-by-step explanation:

[tex]\dfrac{T}{4}+8>-10\qquad|\text{subtract 8 from both sides}\\\\\dfrac{T}{4}+8-8>-10-8\\\\\dfrac{T}{4}>-18\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{T}{4\!\!\!\!\diagup}>(4)(-18)\\\\T>-72[/tex]

Answer:

$2,245.

Step-by-step explanation:

Your interest will have grown to  $2,245 dollars and you will have earned $1,545.

Hope this helped

Answer:

if 8kg- rs148

what about rs832.50

so you multiply rs832.50*8kg/rs148

answer=45 kg

Step-by-step explanation:

plz give brainlyest

4* 53+1/(8-5)^3

4(54)/(8−5)3

4(54/3^3)

4(54/27)

(4)(2)=8  the answer is 8

Answer:

Add 53 + 1

Step-by-step explanation:

It is 9 degrees by midday

Answer:

11 degrees

Step-by-step explanation:

-4 degrees plus 13 degrees equals 11 degrees

Answer:

C. 94.2 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

r = 15 cm

Step 2: Find C

Answer:

0.5

Step-by-step explanation:

Answer:

$6.3

Step-by-step explanation:

Given that:

There are 3 friends who have ordered some eatables.

Price of one pizza = $14

Price of two-liter soda bottle = $2.75

Price of a bag of chips = $2.15

The price of all the items is split evenly.

To find:

How much each person owes i.e. the amount of money each person will have to pay?

Solution:

First of all, let us find the total amount to be paid for all the three items.

Total amount to be paid = $14 + $2.75 + $2.15 = $18.9

Now, this total amount is evenly split i.e. equally divided in three parts.

Let us divide the total amount by 3.

Therefore, share of each friend = [tex]\frac{\$18.9}{3} = \bold{\$6.3}[/tex]

Answer:

Option C

Step-by-step explanation:

By applying tan rule in the given triangle ABC,

tan(a) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

         = [tex]\frac{BC}{AC}[/tex]

         = [tex]\frac{21}{20}[/tex]

Therefore, Option C is the correct option.