Which triangle(s) are similar to ABC?

Answer:

2 14/15. answer need to be 20

Answer:

k = 4

Step-by-step explanation:

(-2)k+1 × (-2)3  = (-2)7​

-2k + -6 = -14

- 2k = -14 + 6

- 2k = - 8

k = -8 / -2

k = 4

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The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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a The solution to a system of two linear equations represents the point where the two lines intersect on the coordinate plane.

b Yes, you can have more than one solution to a linear system of equations. This occurs when the two equations represent different lines that intersect at different points on the coordinate grid.

c No, you cannot have exactly two solutions to a linear system of equations. The system can have one solution, no solutions, or infinitely many solutions, but not exactly two.

d Yes, you can have no solutions to a linear system of equations. This occurs when the two equations represent parallel lines that do not intersect.

e From the origin, move 3 units up and 9 units right representing the point (9,3) on the coordinate grid.

a Geometrically, this point represents the unique solution to the system of equations, where the values of x and y satisfy both equations simultaneously.

b A linear system of equations can have more than one solution if the two equations represent the same line or if they intersect at more than one point.

c A linear system of equations can have exactly two solutions if the two lines intersect at two distinct points.

d A linear system of equations can have no solutions if the two lines are parallel and do not intersect, or if they are the same line and coincide with each other.

e In a Cartesian coordinate system, the point (9,3) represents a point in the plane that is 9 units to the right of the origin and 3 units up from the origin.

The first number in the ordered pair (9 in this case) represents the x-coordinate, which is the horizontal distance from the origin to the point. The second number (3 in this case) represents the y-coordinate, which is the vertical distance from the origin to the point.

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Answer:

r=16

Step-by-step explanation:

2r-14=18

2r=32

r=16

Step-by-step explanation:

2r - 14 = 18

2r = 18 +14

2r = 32

Divide both sides by 2

R =16

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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The factorised for. of the given Polynomial expression using the greatest common factor is; 2 (14x - 1).

It follows from the task content that the factorised form of the given Polynomial expression is to be determined using the greatest common factor.

Since the given expression is; 28x - 2.

By careful observation of the two terms (28x and -2) in the polynomial expression; the greatest common factor is; 2.

Hence, the factorised form of the polynomial expression as required is; 2 (14x - 1).

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Answer:

A dilation by a factor of three about Point T followed by a translation of two units downwards.

Step-by-step explanation:

When transforming functions, we will reflect/dilate the figure first and then translate it. This is directly from the order of operations.

Since we are trying to determine the transformation that was performed, we can try to map ΔS'T'U' onto ΔSTU. We can start by translating the figure and then determining any reflections/dilations.

First, we can translate ΔS'T'U' up two units to map T' onto T. This is represented by the black triangle in the image below. Let the black triangle be ΔS''T''U''. (T'' and T are the same point.)

Next, notice that from Point T'' to U'', we move nine units right and six units up.

From Point T to Point U, we move three units right and two units up.

Likewise, from Point T'' to S'', we move six units left and nine units up.

From Point T to Point S, we move two units left and three units up.

Therefore, to map ΔS''T''U'' onto ΔSTU, we dilate ΔS''T''U'' about Point T by a factor of 1/3.

Hence, by reversing the transformations, to acquire ΔS'T'U', we can see that we will dilate ΔSTU by a factor of three about Point T and then a perform a translation of two units downwards.

The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

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Answer:

no because these "imaginary numbers" can have the same value as 2 real numbers that add up to a real number. Example:7 3+4=7    x+y (Algebra so not real numbers)= infinite possibilities

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Perimeter = 2l + 2w

57x2 = 114

234 - 114 = 120

120 / 2 = 60

Answer:  (16/7) times the cost of one turkey

Step-by-step explanation:

There is not enough information to give an answer for 8 chickens in terms of dollars.

If 28 ducks cost the same as 16 ducks, and the price is the same for each duck, the only possible price is zero.

The cost of chickens is related to the cost of turkeys --> 14c = 4t, but neither chickens nor turkeys are shown in relation to the cost of rabbits. Rabbits are $30 but that tells us nothing about any other costs. So forget the rabbits.

We can only relate the cost of chickens to turkeys.

14c = 4t

For 8 chickens (8c), we can give 8c * (4t/14c) = 32t/14  (The c's divide out)

32t/14 reduces to 16t/7

** --->  8 chickens cost (16/7)t = (16/7) times the cost of a turkey, whatever that is.

Answer:

3√7 /7

Step-by-step explanation:

Answer:

Step-by-step explanation:

speed = 50 km / hr.

distance = 20 km

time = distance / speed.

time = ( / 50) hr.

speed =  2 km/hrs

Answer: $1.95

Step-by-step explanation: 5 quarters = 125 cents  4 dimes = 40 cents  4 nickels = 20 cents and 10 pennies = 10 cents  125 + 40 + 20 + 10 = 195 cents take 100 away to form a dollar and the answer is $1.95

The probability of green balls (a) 1/2, (b)4/9, (c) 5/18 and (d) 1/9.

Explain:

(A) There is a 50% chance of selecting Urn I, and a 50% chance of selecting Urn II. Picking a green ball from Urn I has a 1/3 chance of happening, whereas picking one from Urn II has a 2/3 chance of happening. As a result, the likelihood of selecting a green ball is:

(1/2) * (1/3) + (1/2) * (2/3) = 1/2

(b) As we determined in part, the probability of selecting a green ball from the urn in the first experiment is 1/2. (a). Knowing that we chose a green ball in the first experiment, we can estimate that we did so with a probability of (1/2) * (1/3) / (1/2) = 1/3 from Urn I and (1/2) * (2/3) / (1/2) = 2/3 from Urn II. Consequently, in both experiments, the likelihood of selecting a green ball is:

(1/3) * (2/3) + (2/3) * (1/3) = 4/9

(c) The probability of selecting two green balls from the same urn is calculated as the sum of the probabilities of selecting a green ball on the first and second draws, which is:

(1/2) * (1/3)^2 + (1/2) * (2/3)^2 = 5/18

(d) When we draw one ball from each urn, there are four possible results: (green, green), (green, red), (yellow, green), and (red, yellow).

The probability of the first outcome is (1/2) * (1/3) * (2/3) = 1/9, the probability of the second outcome is (1/2) * (2/3) * (2/3) = 4/9, the probability of the third outcome is (1/2) * (2/3) * (1/3) = 1/9, and the probability of the fourth outcome is (1/2) * (1/3) * (1/3) = 1/18.

Therefore, the probability of picking two green balls is: 1/9.

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(i) The polynomials can be factored as,

(ii)

(iii)

The values of x that make the function less than or equal to zero are x ≤ -3 or x ≥ 4. This can be written in interval notation as (-∞, -3] ∪ [4, ∞).

The given function is R(x) = (x + 3)/(x - 4)

We have to find the values of x that make the function less than or equal to zero

We need to set the expression equal to zero and solve for x.

Let the  function (x + 3)/(x - 4) = 0.

We can solve this equation by rearranging it to get x + 3 = 0, or x = -3.

We also get x - 4 = 0, or x = 4.

Therefore, the values of x that make the function less than or equal to zero are x ≤ -3 or x ≥ 4. This can be written in interval notation as (-∞, -3] ∪ [4, ∞).

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Answer: 120% is 1.2 in decimal form.

215% 2.15

345%  345

450% 4.50

51% 0.51

63% 0.63

75% 0.75

86$ 0.86

Step-by-step explanation:

Answer:9.6$

Step-by-step explanation:

you do 8 x 1.20 wich is 9.6$

Answer:

Step-by-step explanation:

Answer:

I think it's x= 32 degrees

Step-by-step explanation:

Answer:

hmax = 628 ft

Step-by-step explanation:

The bullet will reach its maximum height when its velocity h'(t) becomes zero. The equation of motion is

h(t) = -16t^2 + 200t + 3

Taking the derivative of h(t) is

h'(t) = -32t + 200

Solving for t when h'(t) = 0, we get

t = 200/32 = 6.25 s

and this is the time it takes for the bullet to reach its maximum height. Using this value for t into h(t), we get

h = -16(6.25 s)^2 + 200(6.25 s) + 3

= 628 ft

Answer:

  Draw perpendicular bisectors of two the sides

Step-by-step explanation:

The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.

The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.

Answer:

The answer is C

Step-by-step explanation:

EDGE2020

Answer:

42 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees

90-48=42

Answer:

B) 42°

Step-by-step explanation:

"complementary" means the angles add up to 90°

48° + 42° = 90°

Angle B must be 42°.

Answer:

f(2) = 7

Step-by-step explanation:

Given information,

→ f(x) = 5x - 3

→ f(2) = ?

Now the value of f(2) will be,

→ f(x) = 5x - 3

→ f(2) = 5(2) - 3

→ f(2) = 10 - 3

→ [ f(2) = 7 ]

Hence, the value of f(2) is 7.

We know that two lines are parallel if they have the same slope. So we first find the slope of the given line. One way to do this is to rewrite the equation in its slope-intercept form, solving for y:

Then, we have:

Now, we have the slope and a point through which the line passes:

Then, we can use the point-slope formula:

The above equation is the equation of the line in its point-slope form. However, we can also rewrite the equation of the line in its standard form by solving for the constant:

Therefore, an equation of the line that passes through the point (-5,2) and is parallel to the line 4x - 5y = 5 is

If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.

If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.

Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.

The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.

To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:

P(drawing two green cards) = 1 x 12/51

Simplifying this expression, we get:

P(drawing two green cards) = 12/51

Therefore, the probability of drawing two green cards is approximately 0.235.

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