Find the indicated side of the triangle

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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To calculate the standard deviation of discrete random variables when given standard deviation and mean, we can follow the mentioned procedure.

Determine the mean, or expected value, by adding the products of each result and its probability:

μ = n ∑ i = 1

x 1p1 + x2p2 + xnpn = x I p I

Step 2: Using the formula

σ^2=n∑i=1,

calculate the variance for the random variable.

p I ( x I − μ ) 2 .

Step 3: Take the square root of the variance to calculate the standard deviation.

A discrete random variable is one that can have just a finite number of or countably infinitely many different values. However, this does not mean that the sample space can only have a finite number of outcomes.

A random variable is one that can have several values, each of which has a certain probability of occuring. The random variable is discrete when there are a finite (or countable) number of such values.

Random variables are distinct from "regular" variables, which have a fixed (but frequently unknown) value.

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In right-angled triangle (ΔABC), the value of cos(B) is equal to 12/13.

A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angle has a measure of 90 degrees.

In order to determine the magnitude of cos θ, we would apply the law of cosine because the given side lengths represent the adjacent side and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

Substituting the parameters into the formula, we have;

cos(B) = 12/13

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The answer to this problem is going to be -2.3625

Answer:

ten to the third power

Step-by-step explanation:

Answer:

Ten cubed; Ten to the power of three, Ten to the third power

Step-by-step explanation:

Usando proporciones, hay que los $12,000 restantes deben ser investidos a una tasa de 11%.

Una proporción es una fracción de la cantidad total.

De las dos primeras inversiones, el ingreso es dado por:

0.08 x 15000 = $1,200.

0.09 x 22000 = $1,980

T = 1200 + 1980 = $3,180

Por la tercera inversión, busca-se un retorno de 4500 - 3180 = $1,320.

De esa forma, la tasa x es la seguiente:

12000x = 1320

x = 1320/12000

x = 0.11.

Los $12,000 restantes deben ser investidos a una tasa de 11%.

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Answer:

since your in pre-k bud x+y+z = abc :)

Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc

this is totally correct:)

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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The minimal surface area box has the following measurements: side of base = 5√2/2, height = 5√2, and minimal surface area = 25√2 + 50.

(a) Let x be the side of the square base and y be the height of the box. Then the volume of the box is given by V = x²y = 125, and the surface area is given by S = 2x² + 4xy. We want to minimize S subject to the constraint that V is fixed at 125.

Using the volume equation, we can solve for y in terms of x: y = 125/x². Substituting this expression for y into the surface area equation, we get S(x) = 2x² + 4x(125/x²) = 2x² + 500/x.

To minimize S(x), we take the derivative with respect to x and set it equal to zero:

S'(x) = 4x - 500/x² = 0

Solving for x, we get x = 5√2/2. Substituting this value into the expression for y, we get y = 5√2.

Therefore, the dimensions of the box with minimal surface area are: side of base = 5√2/2, height = 5√2, and minimal surface area = 25√2 + 50.

(b) Let x be the side of the square base and y be the height of the box. Then the surface area of the box is given by S = 2x² + 4xy = 44, and we want to maximize the volume V = x²y.

Using the surface area equation, we can solve for y in terms of x: y = (44 - 2x²)/4x. Substituting this expression for y into the volume equation, we get V(x) = x²(44 - 2x²)/4x = (11x² - x⁴/2).

To maximize V(x), we take the derivative with respect to x and set it equal to zero:

V'(x) = 22x - 2x³/2 = 0

Solving for x, we get x = √11. Substituting this value into the expression for y, we get y = (√11 - √2)²/2.

Therefore, the dimensions of the box with maximal volume are: side of base = √11, height = (√11 - √2)^²/2, and maximal volume = 11(√11 - √2)²/4.

(c) Using Newton's Method, we can approximate the root of f(x) = x³ - 12 starting with an initial guess of x₀ = 2:

x₁ = x₀ - f(x₀)/f'(x₀) = 2 - (2₃ - 12)/(32₂) = 1.833333

x₂ = x₁ - f(x₁)/f'(x₁) = 1.833333 - (1.833333³ - 12)/(31.833333²) = 2.005917

x₃ = x₂ - f(x₂)/f'(x₂) = 2.005917 - (2.005917³ - 12)/(3*2.005917²) = 2.000007

Therefore, the approximated root of f(x) = x³ - 12 using Newton's Method with an initial guess of 2 is x₃ = 2.000007.

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Answer:

3.3 yards

Step-by-step explanation:

$25 minus $22.36 you will get 2.64 then divide by .8 you will get 3.3

The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Hey there!

Use the distributive property at first.

(x + 7)(x - 9) = 25

x (x - 9) + 7 (x - 9) = 25

x² - 9x + 7x - 9 = 25

x² - 2x - 9 = 25

x² - 2x = 25 + 9

x² - 2x = 88

Now make the LHS of a equation a perfect square by adding the square of -1 to both the sides.

x² - 2x + (-1)² = 88 + (-1)²

x² - 2x + 1 = 88 + 1

By factorising the terms in LHS & adding the terms in RHS..

(x - 1)² = 89

Take the square root of both the sides.

√(x - 1)² = √(89)

By simplifying..we will get the answer as...

x - 1 = +/- √89

Adding 1 to both the sides...the values of x will be :-

x = √89 + 1

x = 1 - √89

Hope it helps ya!

Answer:

3/6

I say that the probability is 3/6 because there are 3 spaces, and we are counting one spin. There are 6 spots total.

Answer:

maybe the answer is 3/5.

Do message me if the answer is wrong

Answer: 8 nickles  11 dimes

Step-by-step explanation:  PLEASE GIVE BRAINLIEST IT HELPS ALOT

Answer:

you're answer will be C.

Step-by-step explanation:

have a great day or night✨

Answer:

C.  1.1, 1.5, 19.7, 8.2

Step-by-step explanation:

Answer:

$70

Step-by-step explanation:

What we know:

⇒ He must pay 15 dollars a day

⇒ He needs to pay an additional 5 cent for every mile he drives

⇒ He drives 50 miles for 3 days

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Since he pays $15 a day and he is driving this car for 3 days, we have to multiply 15 by 3.

15*3=45

He drove 50 miles and each mile is 5 cents so we have to multiply those as well.

50*.5=25

Now we add both the sums togather~

25+45= $70

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞The amount he has to spend for his car rental is $275.

Answer:

42,5000

Step-by-step explanation:

The second sock picked is dependent on the first. The probability of picking a white sock for the left foot and a brown sock for the right foot without replacing the first sock is 1/12.

To calculate the probability of picking a white sock for the left foot and a brown sock for the right foot without replacing the first sock, we first need to count the total number of possible outcomes. There are 8 socks in the drawer: 2 white, 6 brown, and 4 black. Since we are picking two socks without replacing the first, the total number of possible outcomes is 8C2 = 28.

Next, we need to count the number of favourable outcomes. In this case, there is only one favourable outcome: picking a white sock for the left foot and a brown sock for the right foot.

Therefore, the probability of picking a white sock for the left foot and a brown sock for the right foot without replacing the first sock is 1/28.

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The y-intercept of the line of fit is approximately 43.94 fluid ounces.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.

No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.

The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.

Therefore,  The y-intercept of the line of fit is approximately 43.94 fluid ounces.

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Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

Answer:

a), and d)

Step-by-step explanation:

\((x^{2}) * (\sqrt{x}) = (x^{2}) * x^{1/2} = x\)

Answer:

B.

Step-by-step explanation:

-2/3

from the y-intersect (0,0), you went up 2 units(positive) and left 3 times (negative) to get the other points so negative and positive are negative.

Answer: 48 more monthly payments

Step-by-step explanation:

Answer:

\(y=-\left(x-2\right)^{2}-4\) is the resultant function after transformations.

Step-by-step explanation:

Parent function is given as:

\(y=x^2\) (Graph 1 in attachments, it is a parabola)

Let us apply the transformations step by step:

1. Shift 2 units to the right i.e.

change the value of \(x\) by 2.

The equation of a parabola can be: \(y=(x-a)^2\) where \(a\) is the point on x axis which is the axis of symmetry.

Right side means the equation becomes:

\(y=(x-2)^2\)  (Graph 2 in attachments)

2. Reflect over x axis i.e.

change the sign of y from + to -.

\(y=-(x-2)^2\) (Graph 3 in attachments)

3. Shift downward 4 units i.e.

Subtract 4 from the value of y:

\(y=-(x-2)^2-4\) (Graph 4 in attachments)

Answer:

(a) 210

(b) 55

Step-by-step explanation:

(a) I'm assuming the animals are considered to be unique rather than identical.  The order of the animals isn't important, so the number of ways he can choose 4 animals from 10 is:

₁₀C₄ = 210

(b) If there are more cows than goats, then there are either 3 cows and 1 goat:

₅C₃ ₅C₁ = 50

Or there are 4 cows:

₅C₄ = 5

The total number of combinations is 55.

Answer:

Domain are all values of x, or the inputs, of a function

Range is all values of y, or the outputs, of a function

Step-by-step explanation:

Answer:

Domain are all values of x, or the inputs, of a function

Range is all values of y, or the outputs, of a function

Step-by-step explanation:

Answer:

x=1/4 or x=-1

Step-by-step explanation:

x−

1

x

+3x+3=0

4x2+3x−1

x

=0

Step 1: Multiply both sides by x.

4x2+3x−1=0

(4x−1)(x+1)=0(Factor left side of equation)

4x−1=0 or x+1=0(Set factors equal to 0)

x=

1

4

or x=−1

Check answers. (Plug them in to make sure they work.)

x=

1

4

(Works in original equation)

x=−1(Works in original equation)

Answer:

x=

1

4

or x=−1

Answer:

it is d because they dont have enuff info :)