There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four?.

Samantha and Mia are 13 km apart from each other.

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

As Mia walked 7km/h and she is 7 km north of Julia's house.

and, Samantha walked 11km/h and she is 11 km west of Julia's house.

The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.

the distance between the girls is shown by, hypotenuse of triangle

Using Pythagoras theorem,

[tex]H^{2} =P^{2} +B^{2}[/tex]

[tex]H^{2} =7^{2} +11^{2}[/tex]

[tex]H^{2} =49+121\\[/tex]

H= [tex]\sqrt{170}[/tex]

H= 13.038

H= 13 Km

They are 13 km apart from each other.

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Answer:

13.0 km

Step-by-step explanation:

Step-by-step explanation:

it shows that all the small triangles that together make the complete square (c²) under the Hypotenuse consist of exactly all the composing triangles of the squares above the legs (a² and b²).

we find the 2 purple, the 2 orange, the 2 yellow and the 2 blue triangles there.

so, the area of c² must be the same as the sum of the areas of a² and b².

Answer:

Yes

Step-by-step explanation:

But not all rational numbers are natural numbers, so be careful of that.

Explanation:

Choice A simplifies to 9n-8 after combining the like terms -7n+16n to get 9n

Choice C simplifies to 9n-8 for similar reasoning. The n+8n turns into 9n

This shows choices A and C are equivalent to choice D. Choice B isn't the same because 9(n-8) = 9n-9*8 = 9n-72. Use the distributive property.

Answer:

B. 9(n - 8)

Step-by-step explanation:

- 8 - 7n + 16n

-8 (-7n + 16n or 16n - 7n)

-8 + 9n

9n - 8

9(n - 8)

9n - 72

n - 8 + 8n

9n - 8

9n - 8

The cone is a three dimensional shape, and the value of the height of the cone is 27 inches

The given parameters are:

The volume of the cone is calculated using:

[tex]V = \frac13 Bh[/tex]

So, we have:

[tex]45 = \frac13 * 5 * h[/tex]

Divide both sides by 5

[tex]9 = \frac13 * h[/tex]

Multiply both sides by 3

h = 27

Hence, the value of the height of the cone is 27 inches

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The surface area of the solid is the sum of all the net shapes. The surface area of the solid that this net can form is  730mm²

The surface area of the solid is the sum of all the net shapes.

Given the following parameters

The rectangle has a base of 25 millimeters and a height of 21 millimeters will have an area of 525mm²

The other rectangle has a base of 41 millimeters and height of 5 mm has an area of 205mm²

TSA = 525 + 205
TSA = 730mm²

Hence the surface area of the solid that this net can form is  730mm²

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The relation between the exponential and the logarithm is used. Then the expression [tex]e^{\ln3}[/tex] is given as 3.

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

The expression is given below.

[tex]\rightarrow e^{\ln3}[/tex]

We know the formula

[tex]\rm e^{\ln x} = x[/tex]

Then the expression can be written as

[tex]e^{\ln3} = 3[/tex]

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Using proportions, the amount of money that Sam would need each month to pay his bills is of:

b. at least $425.32.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, his annual social security benefit is of 42% of $37,991, hence:

A = 0.42 x 37991 = $15,956.22.

Hence the monthly amount is given by:

M = 15956.22/12 = $1,329.68

He needs $1,755 monthly, hence the amount he needs is of at least:

An = 1755 - 1329.68 = $425.32.

Which means that option b is correct.

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Answer:

.9417 ft/min

Step-by-step explanation:

Sphere volume = 4/3 pi r^3

dv/dr = 4/3 pi * 3 r ^2    = 4 pi r^2

dv/dr  * dr/dt =    dv/dt =  4 pi r^2  dr/dt

                          2.5   = 4 pi (1.3/2)^2 dr/dt      (Diameter is 1.3 , radius is 1.3/2)

                                 dr/dt = .4709  ft/min

  THIS answer is how fast the RADIUS is changing

         the DIAMETER is changeing TWICE this:

                2 x .4709 ft/min = .9417 ft / min     =   diameter/dt

Answer:

It is the first one

Hope this helps!

Answer:

I believe it is 4x+10y=200, x+y=38

Explanation:

Answer:

-2

Step-by-step explanation:

z - 7 ≥ 0

z ≥ 7

| z - 7 | = z - 7, z ≥ 7

| z - 7 | = -z + 7, z < 7

z - 9 ≥ 0

z ≥ 9

| z - 9 | = z - 9, z ≥ 9

| z - 9 | = -z + 9, z < 9

| z - 7 | = -z + 7

| z - 9 | = -z + 9

|z - 7| - |z - 9|

-z + 7 - (-z + 9)

-z + 7 + z - 9

= -2

Answer:

Option 2

Step-by-step explanation:

Checking whether P(A) × P(B) = P(A∩B) :

Since this does not obey the Multiplication rule of probability, these events are not independent.

So, the answer is :

No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)

Answer:

Option B

Step-by-step explanation:

Option A should be true if they are independent

So

They are dependant

Answer: Heyaa!

If you mean medicine treatment the definition is...

If you mean just basic treatment the definition is...

Hopefully this helps you:

- Matthew

Answer:

11/15

Step-by-step explanation:

To find probability, you divide whatever you're looking for over your total. In this case, you have 11 marbles that are not red, and 15 marbles total, so your answer would be 11/15.

The distance between the swimming pool and Tim's house is 3.5 miles.

First, we need to find the distance between the two points, and then we multiply that by 0.5 miles.

The distance between the points (-6, 5) and (1, 5) is:

[tex]d = \sqrt{(-6 - 1)^2 + (5 - 5)^2} = 7[/tex]

Now, changing to miles, we get:

d = 7*0.5mi = 3.5mi

So the distance is 3.5 miles

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Answer:

$0.51 per golf ball.

Step-by-step explanation:

9.26 divided by 18 is 0.51.

Answer:

$1.94 dollars

Step-by-step explanation:

hehe

At the end of the third year the population of beetles will be 11,576beetles

The standard form of an exponential function is given as:

y = ab^t

Given the following parameters

initial population 'a" = 10,000 beetles

Time = 3 years

rate b = 1.05

Substitute into the formula

y = 10,000(1.05)^3

y = 10,000(1.1576)
y = 11,576 beetles

Hence at the end of the third year the population of beetles will be 11,576beetles

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Answer:

50

Step-by-step explanation:

Since it's given that these are similar triangles then the measure of angles are equal

2y - 40 = y + 10 transfer like terms to the same side of equation

2y - y = 10 + 40 do the calculation (notice how the terms changes sign from + to - and from - to + when they are transferred)

y = 50

Answer:

[tex]14137.8[/tex] to the nearest tenth

Step-by-step explanation:

write the equation of sphere volume:

[tex]\frac{4}{3} \pi r^{3}[/tex]

substitute the radius to the equation :

[tex]\frac{4}{3} \pi* 15^{3}[/tex]

solve by calculator:

[tex]\frac{4}{3} \pi* 15^{3}=14137.17\\[/tex]

≈[tex]14137.8[/tex] to the nearest tenth

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

[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

             What is the equation of the line that passes through the point  (2, 5) and has a slope of 5?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

First let's write the equation of the line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 5 for y₁, 5 for m and 2 for x₁:-

[tex]\sf{y-5=5(x-2)}[/tex]

That's the equation of the line in Point-slope form.

Now let's convert it into slope-intercept:-

[tex]\sf{y-5=5x-10}[/tex]

Adding 5 to both sides results in our slope intercept equation, which looks like this:-

[tex]\dashrightarrow\bigstar\boxed{\boxed{\bold{\underline{y=5x-5}}}}\bigstar\dashleftarrow[/tex]

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

Answer:

1st option

Step-by-step explanation:

the equation for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = a₂ - a₁ = 3 - 7 = - 4 , then

[tex]a_{n}[/tex] = 7 - 4(n - 1)

Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

Answer:

X is 72 i think

Step-by-step explanation:

all triangle equal 180, triangle formula bxh/2, so i did that and got 72.

Answer:

a. (2x - 3)(x - 4)

b. 17 m, 6 m

c. 46 m

Step-by-step explanation:

a.

2x² -  11x + 12 = (2x - 3)(x - 4)

b.

2x - 3 = 2(10) - 3 = 17

x - 4 = 10 - 4 = 6

c.

P = 2L + 2W = 2(17) + 2(6) = 46

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

   Find the gradient of the line joining (-1,9) and (3,5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Use the slope formula:-

[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]

Replace the letters with the numbers:-

[tex]\boxed{\frac{5-9}{3-(-1)}}[/tex]

[tex]\circ[/tex] On simplification,

[tex]\boxed{\frac{-4}{3+1}}[/tex]

[tex]\circ[/tex] On further simplification,

[tex]\boxed{\frac{-4}{4}}[/tex]

[tex]\circ\sf{SLOPE=-1}[/tex]

[tex]\rule{300}{1}[/tex]

Using the corresponding angles theorem, the value of x is 150°

From the question, we are to determine the value of the angle marked x°

From the diagram,

The angle that supplements the angle marked 30° is corresponding to angle x

Since corresponding angles are equal

Then, we can write that

∴ x = 180° - 30°

x = 150°

Hence, the value of x is 150°

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