The diagram shows the position of a ship (S) and a marine base (B).
The scale of the diagram is 1 cm represents 10km

Mark the position of the fishing boat F with a cross

Answer:

HL  (Hypotenuse-Leg)

x = 13

Step-by-step explanation:

hypotenuse GJ is shared by both triangles.

∠H and ∠K are right angles so they are right triangles.

leg HG = leg KG

so HL theorem

x + 5 = 8

x = 13

(Right angle, hypotenuse and side theorem)

By this theorem GK = GH ,

=> x + 5 = 8

=> x = 8-5

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

Answer:

54

Step-by-step explanation:

2/3(7-16)^2

2/3(-9)^2

2/3*81

54

Answer:

$28.8

Step-by-step explanation:

6x32=192

15% of 192 is 28.8

Answer:

2

Step-by-step explanation:

Answer:

x° ≈ 71.69°

Step-by-step explanation:

Answer: Option B.

Step-by-step explanation:

When we have an interval with lower bound m and upper bound M, such that:

m ≤ x ≤ M

The mid-point is:

(m + M)/2

in this case, we have:

m = 22

M = 27

then the mid-point is:

(22 + 27)/2 = 24.5

and we know that f = 7, then:

f*x = f times the mid-point = 7*24.5 = 171.5

The correct option is B.

Answer:

I think the last one is correct

Answer:

12x+15y

Step-by-step explanation:

Answer:

I have heard of it but I myself do not

Answer:

What's vava just wondering also your in 8th grade?

something is wrong with 4th one.

I solved it as 5x.

Answer:

Step-by-step explanation:

7. 15/10 = 24/18

  900 ≠ 240

not similar

8. 4/6 = 9/15

54 ≠ 60

not similar

9. x/24 = 9/40

x= 5.4

10. 8.7/x = 6/16

    6x = 139.2

    x = 23.2

     x = 18.7

11. 24/9 = x/45

   9x = 1080

    x = 120 feet

Answer: the first one is 2^3

The second one is 3 * 4^3 * 5^2

The third I do not know

The last one is 19^3 * 25

Step-by-step explanation:

Answer:

B should be worth more points.

Step-by-step explanation:

Given -  Consider a randomly shuffled deck of ten cards labeled

              {1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three

               to be drawn.

To find - Which one should be worth more points:

              A getting a pair of matching cards within the three,

              or B getting a set of three cards that can be arranged such

              that the sum of two of them is the value of the third.

Proof -

Given that, three cards has to be drawn.

So, total number of ways the card be drawn = ¹⁰C₃

                                                                      = [tex]\frac{10!}{3! (10-3)!}[/tex]

                                                                      = [tex]\frac{10!}{3! 7!}[/tex]

                                                                      = [tex]\frac{10.9.8.7!}{3! 7!}[/tex]

                                                                      = [tex]\frac{10.9.8}{3.2.1}[/tex]

                                                                      = 120

⇒¹⁰C₃ = 120

Now,

Given that, A getting a pair of matching cards within the three

Sample space = { (1,1,2), (1,1,3).(1,1,4),(1,1,5);

                            (2,2,1),(2,2,3),(2,2,4),(2,2,5);

                             (3,3,1),(3,3,2),(3,3,4),(3,3,5);

                              (4,4,1),(4,4,2),(4,4,3),(4,4,5);

                              (5,5,1),(5,5,2),(5,5,3),(5,5,4) }

⇒n(A) = 20

Also,

B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third

Sample space = { (1,1,2),(1,2,3),(1,3,4),(1,4,5),(2,2,4),(2,3,5) }

⇒n(B) = 6

Now,

P(A) = [tex]\frac{20}{120} = \frac{1}{6}[/tex] = 0.167

P(B) = [tex]\frac{6}{120} = \frac{1}{20}[/tex] = 0.05

We can see that, P(B) < P(A)

⇒B should be worth more points.

2x + 3x + 3x + 12 = 180° [Sum of all angles of a triangle is 180°]

=> 7 x = 180° - 12°

=> 7 x = 168°

=> x = [tex]\frac{168}{7}[/tex]°

=> x = 24°

[tex]\\[/tex]

? = 2x + 3x

=> 2×24° + 3×24°

=> 48° + 72°

[tex]\\\\\\[/tex]

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

Answer:

Side of the rhombus is 12 cm. Let d1 = 2x cm , so d2 = 2x+6 cm

Now, 12^2 = x^2 + (x+3)^2 = 2x^2 + 6x+9 = 144, or

2x^2 + 6x-135=0, or

x^2+3x-67.5 = 0

x1 = [-3 +(9+270)^0.5]/2

= [-3+279^0.5]/2

= [-3+16.70329309]/2 = 6.851646544 cm [x2 will be negative and so inadmissible]

So d1 = 2x6.851646544 = 13.70329309 cm and d2 = 19.70329309 cm.

So the area of the rhombus is 13.70329309x19.70329309/2 = 135 sq cm.

Answer:

There would be a 44.4% chance of drawing all blue marbles

Step-by-step explanation:

7+3+8=(total marbles) (8=the amount that are blue in the total 8/18=44.4%

Answer:

Rice and other items are being cooked in pressure cookers

I hope it helps you

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

Answer:

The correct answers are:

xii) (x+7)(x+7)

=x^2 +7x +7x +49

=x^2 +14x +49

xiv) (x+4)(x+2)

=x^2 +2x +4x +8

=x^2 +6x +8

xvi) 5x^3 ÷ 5x^3

=1

Answer:

This is your answer ☺️☺️

Answer:

180

Step-by-step explanation:

raiz ( 8 sobre 5 , o )dominio es b e r rango y e r intercepcion vertical (0,-8)

Answer:

YES SIR OR I MEANT YES MAM

Answer:

a. y= 4 + 0.50x  b. y= 1.00x

Step-by-step explanation:

Answer:

a. y = 0.5x +4  b. y = x

Step-by-step explanation:

a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.

m  = $0.50 per mile

b = $4 per ride

y = 0.5x +4

b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.

m  = $1 per mile

b = $0 per ride

y = x

Answer:

Center is (7,-6)

Our radius is 4

Step-by-step explanation:

Subtract 69 to both sides

Complete the square of the x terms and y terms.

[tex] {x}^{2} + 14x[/tex]

[tex] {y}^{2} - 12y[/tex]

(To complete the square divide the coefficient by 2 and square it).

[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]

[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]

Add those terms to the full equation. Add 36 and 49 to the right side as well

[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]

Simplify the x and y terms into a binomial.

[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]

Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.

[tex]x + 7 = 0[/tex]

[tex]x = - 7[/tex]

[tex]y - 6 = 0[/tex]

[tex]y = 6[/tex]

[tex]16 = {x}^{2} [/tex]

[tex]4 = x[/tex]

So our center is (-7,6)

Our radius is 4.

Answer:

8x+7x+44.4=180

15x=180-44.4

15x =135.6

X=9.04

8x=9.04×8=72.32

Answer:

See diagram below.

====================================================

Explanation:

Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.

I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.

The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.

-------------------

If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.

Answer:

5

Step-by-step explanation:

It’s a radius, so it’s 5.

The length of x in the circle shown will be 5 units.

A circle is a geometric shape that is created by drawing a point in an orbit around a fixed point while maintaining a fixed distance.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Given the circle with a radius of 5 units.

A radius is a line that goes from the center and touches the periphery of the circle.

Since the x line also goes from the center and touches to the periphery hence, x should be a radius.

Since the radius of a circle is always the same so

x = radius = 5

To learn more about the circle,

https://brainly.com/question/266951

#SPJ5

Answer:

299.25

Step-by-step explanation:

Im pretty sure this is correct!!

Answer:

$100

Step-by-step explanation:

399.99 * 0.25 = 99.9975 (100)

399.99 - 100 = 299.99

$299.99 = Cost after discount