If rectangle DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), what will be the coordinates of point F'?

Answer:

Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.

Step-by-step explanation:

Lexi has planted seeds in [tex]\frac{3}{5}[/tex] of the garden. We know that to plant that part she used [tex]\frac{1}{2}[/tex] pound of seeds.

The entire garden is [tex]\frac{5}{5}=1[/tex].

Then if you multiply [tex]\frac{1}{2}[/tex] in [tex]\frac{5}{5}=1[/tex] and then divide the result in [tex]\frac{3}{5}[/tex] you will obtain how many pounds will she use for the entire garden. (It's a rule of three)

[tex](1).\frac{1}{2} :\frac{3}{5}=\frac{1}{2} :\frac{3}{5}=\frac{5}{2.3}=\frac{5}{6}[/tex]

Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.

Answer: [tex]-2\dfrac{1}{10}[/tex]

Step-by-step explanation:

The given expression to simplify : [tex]5\dfrac{1}{4}\div-2\dfrac{1}{2}[/tex]   (i)

First we convert mixed fraction into improper fraction as :

[tex]5\dfrac{1}{4}=\dfrac{5\times4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]

[tex]-2\dfrac{1}{2}=-\dfrac{2\times2+1}{2}=-\dfrac{4+1}{2}=\dfrac{-5}{2}[/tex]

Now , put them in (i) , we get

[tex]\dfrac{21}{4}\div\dfrac{-5}{2}[/tex]

[tex]=\dfrac{21}{4}\times\dfrac{-2}{5}=\dfrac{-21}{10}=-\dfrac{20+1}{10}=-2\dfrac{1}{10}[/tex]

Hence, the required answer is [tex]-2\dfrac{1}{10}[/tex].

from the problem m = 1/2

point slope =

y -2 = 1/2(x+8)

add how many he rode already:

18.23 + 13.94 = 32.17

 now subtract that from 50:

50 - 32.17 = 17.83

 answer is B. 17.83 km

Answer:

Step-by-step explanation:

your answer is d

A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. The total length of ribbon that is needed to line the two long sides of the hat is 22 inches.

A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides that are opposite each other rather than adjacent.

Since the two adjacent small and two adjacent long sides of a kite are always equal. Therefore, the length of the smaller sides can be written as,

(2x + 1) inches = 5 inches

2x + 1 = 5

2x = 4

x = 2

Now, the length of the longer side of the kite can be written as,

(3x + 5) inches

= 3(2) + 5

= 11 inches

As both the long sides are needed to be covered with the ribbon, therefore, the length of the ribbon needed is,

Ribbon needed = 11 inches × 2

                          = 22 inches

Hence, the total length of ribbon that is needed to line the two long sides of the hat is 22 inches.

The diagram of the question is mentioned in the below image.

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The standard error of the mean for a sample of 70 students is 1.375 .

The margin of error of the mean is 2.69 .

[Round off your answers to the nearest hundredth]

To convert the length of 3 meters of gold wire to millimeters, multiply the length in meters by 1000. The wire is 3000 millimeters long.

The scientist is working with 3 meters of gold wire, and we need to convert this length into millimeters. There are 1000 millimeters in a meter, so to convert meters to millimeters, you multiply the length in meters by 1000.

Conversion formula: Length in millimeters = Length in meters × 1000 mm/m.

Using the formula:

Length in millimeters = 3 m × 1000 mm/m = 3000 millimeters.

Therefore, 3 meters of gold wire is 3000 millimeters long.

To convert meters to millimeters, we can use the conversion factor that 1 meter is equal to 1000 millimeters.

Therefore, to find the length of the wire in millimeters, we multiply the given length in meters by 1000:

3 meters * 1000 millimeters/meter = 3000 millimeters

The length of the gold wire in millimeters is 3000.

To convert meters to millimeters, you need to multiply the measurement by 1000. Since the scientist is working with 3 meters of gold wire, you can calculate the length in millimeters by multiplying 3 by 1000, which equals 3000 millimeters. Therefore, the length of the wire is 3000 millimeters.

Final answer:

If x doubles and y is inversely proportional to x, then y will become half of its original value, as per the inverse proportionality relation y = k/x.

Explanation:

When variables y and x are inversely proportional, this means that as one value increases, the other value decreases. The relationship between y and x in this case is represented by the equation y = k/x, where k is the proportionality constant. If the value of x doubles, looking at the relationship expressed by the inverse proportionality equation, the value of y will decrease by half.

So, if x becomes 2x, then y becomes k/(2x), which is half the value of the original y if we assume that k is constant. This is reflective of the more-less relationship inherent to inverse proportionality, where increased values of one variable lead to decreased values of the other.

Answer:

D inverse property

Step-by-step explanation:

x=1+2i

y=-1-2i

Both x and y are complex numbers with both real and imaginary parts.

x+y = (1+2i) + (-1-2i)

= 1 + 2i - 1 - 2i

= (1 - 1) + (2i-2i)

= 0 + 0 = 0

Since the two given complex numbers add up to 0, this means that each number is the additive inverse of the other.

So x is the inverse of y and y is the inverse of x.

Among the given options, option D , namely, inverse property is the correct one.

Answer:

9-5/4-0

Step-by-step explanation:

3^4 = 3*3*3*3 = 81

3^2 = 3*3 =9

81/9 = 9

 Answer is B. 9

Answer:

1. Two

2. Line

Step-by-step explanation:

Two out of the five axioms of the Euclidean Geometry are:

1. A straight line can be drawn between any two points.

2. Any straight line can be extended infinitely.

So, from the above axioms, we get that 'If two points lie in a plane, a straight line can be drawn between those points and that line can be extended indefinitely in that plane'.

Hence, 'If TWO points lie in a plane, the LINE containing those points also lie in the same plane'.

Answer:

for plato it is graph A it goes with the first answers graph

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

Answer:

The answer is B,A

Step-by-step explanation:

In geometry, an equilateral triangle is a triangle in which all three sides have the same length

Answer:

$5,000 in sales

Step-by-step explanation:

dividing the annual salary by 12 to find how much she makes in a month:

48,000/12 = $4,000

If she wants to make $6,000 this month, she needs

6,000 - 4,000 = $2,000 in comissions

$2,000 is the 4% of how much she made in sales.

denoting the total of sales by x:

4%x = 2,000

---> 0.04x = 2,000

this makes x = 2,000/0.04

--> x = $50,000

So to get a moth salary of $6,000 she needs to have $5,000 in sales

Answer:

Area =  36 units.

Step-by-step explanation:

Given  : A circle whose area is 4 has a radius of x .

To find : find the area of a circle whose radius is 3x.

Solution: We have given

Area of circle = 4 units.

Radius = x .

Formula of area = pi (radius)².

Plug the values

pi (x)² = 4 -------(A)

If the radius = 3x .

Then 4

Area =  pi (3x)².

Area = pi (9)(x)².

Area = 9 pi (x)²-----(B) .

We can see from equation ( A)  4 = pi (x)²

Area = 9 * 4.

Area =  36 units.

Therefore, Area =  36 units.

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle is x(t) = Acos(wt + φ). In this case, the equation is x(t) = 8cos(5t + φ).

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be derived using the concept of circular motion and trigonometry.

The equation for the position of the particle is given by x(t) = Acos(wt + φ), where A is the radius of the circle, w is the angular speed, t is the time, and φ is the phase shift.

In this case, the radius of the circle is 8 units and the angular speed is 5 radians per second. Therefore, the equation for the simple harmonic motion of the particle is x(t) = 8cos(5t + φ).

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Answer:

441 cm

Step-by-step explanation: