Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos runs along the shore for a while and then jumps into the water and swims from there directly to the child. Santos can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should Santos run before jumping into the water in order to save the child

Answer:

So, you multiply them.

Step-by-step explanation:

Try it yourself….. Use table multiplication or somthin

Answer:

Well 6.2 x 6.2 is 38.44 and if you do 38.44 x 38.44 it is 1,477.6336

Answer:

y = -4x - 1

Step-by-step explanation:

k(x) = -4x - 1

replace k(x) with y

y = -4x - 1

Answer:

y = -4x - 1

Step-by-step explanation:

Answer:

19/30

Step-by-step explanation:

3/10 + 1/3

Get a common denominator of 30

3/10 * 3/3   + 1/3 * 10/10

9/30  + 10/30

19/30

Answer:

19 / 13

Step-by-step explanation:

➟ 3 / 10 + 1 / 3

➟ 3 / 10 × 3/3 + 1 /3 × 10 /10

➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10

➟ 9 / 30 + 10 / 30

➟ 9 + 10 / 30

➟ 19 / 30

Answer:

J - (0, 4) K - (2, 3) L - (3, 4) M - (4, 1) N - (1, 2)

Step-by-step explanation:

So, the first number, is the value on the x axis, The second number, is the value on the y axis.

So lets look at each point. J is at 0 on the x axis, and 4 on the y axis.

K is at 2 on the x axis, and 3 on the y axis.

L is at 3 on the x axis, and 4 on the y axis.

M is at 4 on the x axis, and 1 on the y axis.

Finally, n is at 1 on the x axis, and 2 on the y axis.

Since we write coordinates as (x, y):

K is (2, 3)

L is (3, 4)

M is (4, 1)

N is (1, 2)

Hope this helps!

12

15x + 60 <240

-60

15 veces <180/15

x <12

Step-by-step explanation:

I think its 6 cm for the 3rd side

Answer:

Step-by-step explanation:

angle A =angle B (because they are alternate interior angles)

5x-12=2x+24

5x-2x=24+12

3x=36

x=36/3

x=12

angle A=5x-12

5*12-12

60-12

48

angle B=2x+24

2*12+24

24+24

48

Answer:

V = (8 in)(5 in)(3 in) = 120 in^3

Step-by-step explanation:

The likeliest name for this shape is "rectangular prism."  Let's assume that the length, L, is 8 in; the width, W, is 5 in; and the height, H, is 3 in.

Then the volume of this rectangular prism is V = L * W * H, or

V = (8 in)(5 in)(3 in) = 120 in^3

Answer:

B)   x = 7,   y = 4√2

Step-by-step explanation:

Drop a line from the upper left vertex

This creates a rectangle with a bottom side of 3

and an isosceles right triangle with legs of 4

Therefor

x = 4 + 3

x = 7

y = √(4² + 4²)

y = 4√2

The values of x and y from figure are 7 and 4√2 respectively, option B is correct.

When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.

We have to find the values of x and y.

Sine function is a ratio of opposite side and hypotenuse.

sin45=4/y

1/√2 = 4/y

Apply cross multiplication:

y=4√2.

Now let us find the value of x by cosine function.

Cosine is a ratio of adjacent side and hypotenuse.

cos 45 =x/y

1/√2 = x/4√2

Apply cross multiplication:

x=4

Now from diagram x=4+3 =7

Hence, the values of x and y from figure are 7 and 4√2 respectively.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Answer:

4^5

4 by the power of 5

Step-by-step explanation:

4 times the amount of 4's

4 times 5 does not equal 4^5 and is not the answer

it is 4 by the power of 5

im pretty sure that the answer is 6 2/3

Answer:

320

Step-by-step explanation:

(2 / 50) * 8000 = 320

Answer:

320

Step-by-step explanation:

Answer:

132 ft

Step-by-step explanation:

The radius is 21 ft

We want to find the circumference

C = 2 * pi *r

Letting pi = 22/7

C = 2 * 22/7 * 21

C = 132 ft

Answer:

We want to find the circumference

[tex]5^{-2}=\frac{1}{5²}[/tex]

Answer:

Solutions given:

[tex]5^{-2}=\frac{1}{5²}[/tex]

since

we have rule of indices

[tex]x^{-a}=\frac{1}{x^{a}}[/tex]

Answer: It's 1/25 or 0.04 That's what I got

Step-by-step explanation:

Since 1/5^-2 = 0.04 I think its the first one

Answer:

-1 (losing a point)

Step-by-step explanation:

it is a probability question

total possible outcomes= 3

favourable outcome(white) = 2

probability of getting a white is 2/3

probability of getting a green is 1/3

so the expected value of the game will be -1

Answer:

4 batches

Step-by-step explanation:

To obtain the number of batches of the recipe that can be made ;

We take the divison of the total amount of strawberry by the amount of strawberry required per batch :

Pounds of strawberry per recipe = 0.75 pound

Total pounds of strawberry = 3.15 pound

= 3.15 / 0.75

= 4.2

We round down :

4.2 batches = 4 batches of the recipe can be made

Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x          P(x)           x × P(x)              x²             x² × P(x)

19         0.20           3.8                  361               72.2

10         0.20             2                   100                20

11          0.30           3.3                   121                36.3

12         0.20           2.4                   144               28.8

13          0.10            1.3                   169                16.9

____________________________________________

                            12.8                                         174.2            => Total

Mean Formula

[tex]\mu_x = \sum(x \times P(x))[/tex] [tex]= 12.8[/tex]

[tex]\mu_x^2 = 163.84[/tex]

Variance Formula

[tex]\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2[/tex]      

   [tex]= 174.2- 163.84\\\\=10.36[/tex]

Standard Deviation Formula

[tex]Standard\ deviation, \ \sigma_x = \sqrt{Variance}[/tex]

                                   [tex]=\sqrt{10.36}\\\\=3.218[/tex]      

Answer:

by increasing the size ez

Answer:

I agree other students

Step-by-step explanation:

congrats

9514 1404 393

Answer:

  ∠GDH = ∠GHD = 50°

Step-by-step explanation:

Angles FGD and EDG are alternate interior angles, so are congruent. That means angle EDG is 100°. The angle sum theorem tells us ...

  ∠EDG = ∠EDH +∠HDG

  100° = 50° +∠HDG

  50° = ∠HDG

You can find the measure of ∠DHG a couple of different ways. It is an alternate interior angle congruent to ∠EDH, so is 50°. It is one of two remote interior angles that have  a sum equal to the exterior angle FGD, so is ...

  ∠DHG = ∠FGD -∠HDG = 100° -50° = 50°

So, angles DHG and HGD both have measures of 50°. When a triangle has two angles with the same measure, it is an isosceles triangle.

Answer:

99 square feet

Step-by-step explanation:

Because 8 times 9=72+27=99

Answer:

Ya está resuelto ya

Step-by-step explanation:

Answer:

The volume of the triangular prism is 5676.16 cm³

Step-by-step explanation:

The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.

Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'

V = Ah' where h = height of prism = 18.1 cm

So, V = bhh'/2

Substituting the values of the variables into the equation for V, we have

V = bhh'/2

V = 28 cm × 22.4 cm × 18.1 cm/2

V = 14 cm × 22.4 cm × 18.1 cm

V = 5676.16 cm³

So, the volume of the triangular prism is 5676.16 cm³

Answer:

5676.16 cm³

Step-by-step explanation:

Answer:

x ≈ 24.7

Step-by-step explanation:

Using the Sine rule in the triangle , that is

[tex]\frac{x}{sin71}[/tex] = [tex]\frac{15}{sin35}[/tex] ( cross- multiply )

x × sin35° = 15 × sin71° ( divide both sides by sin35° )

x = [tex]\frac{15sin71}{sin35}[/tex] ≈ 24.7 ( to the nearest tenth )