Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’. What are the coordinates of the vertices of triangle A’B’C’?
A
A’ (1, 4), B’ (4, 1), C’ (1, 1)
B
A’ (-3, 4), B’ (0, 1), C’ (-3, 1)
C
A’ (-1, -4), B’ (-4, -1), C’ (-1, -1)
D
A’ (-5, -4), B’ (-8, -1), C’ (-5, -1)

Answer:

15

Step-by-step explanation:

$180.

.............................

Answer:

70 times.

Step-by-step explanation:

The following data were obtained from the question:

SHAPE >>>>>>>>>>>>> FREQUENCY

Oval >>>>>>>>>>>>>>> 18

Rectangle >>>>>>>>>> 14

Star >>>>>>>>>>>>>>> 8

TOTAL >>>>>>>>>>>>> 40

next, we shall determine the probability of chosing a rectangular cracker. This is illustrated below:

Event of Rectangle (nR) = 14

Sample space (S) = 40

Probability of chosing rectangle, P(R) =?

P(R) = nR/nS

P(R) = 14/40

P(R) = 7/20

Therefore, the probability of chosing a rectangular cracker is 7/20.

Thus, if the process were carried out 200 times, the probability of chosing a rectangular cracker will be:

= P(R) × 200

P(R) = 7/20

= 7/20 × 200

= 70

Therefore, max will chose a rectangular cracker 70 times.

Answer:

1,2,4,8,"16",32

Step-by-step explanation:

we are times by 2 on each one

The missing number in the sequence is 16.

The given sequence follows a pattern where each number is obtained by multiplying the previous number by 2.

Starting with 1:

1 × 2 = 2

2 × 2 = 4

4 × 2 = 8

8 × 2 = 16

16 × 2 = 32

So, the missing number in the sequence is 16.

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Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B

Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church

Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.

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Answer:

a.) P(x)= 4x - 1240

b.) make $1,560 profit in 1 week by selling 700 calculators

Step-by-step explanation:

a.) P(x)=R(x)-C(x)

R(x)=13x; C(x)=9x + 1240   assuming they are asking for profit in a week

P(x)= 4x - 1240

b.) P(700) = 4(700) -1240 = 1560

Answer:

546

Step-by-step explanation:

|2x3|+3(|3+2|)×(16+2)2

6+3×5×18×2

6+540

546

Answer:

Solved using binomial, probability = 5.7%

Step-by-step explanation:

Number of people (N) = 7

Probability of success (using phone) = 63% = 0.63

So, probability of failure (not using phone) = 1 - 0.63 = 37

Number of success (r) = 2

N c r . P^r . Q^n-r

7 c 2 (0.63)^2 (0.37)^5

= 21 (0.3969) (0.0069)

= 0.057

The calculated output value for an input value of 5 is (c) 10

From the question, we have the following parameters that can be used in our computation:

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

substitute the known values in the above equation, so, we have the following representation

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

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The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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Answer:

The radius of the circle is 24.5 units

Step-by-step explanation:

The formula for the circumference of a circle is \(C=2\pi r\)

Where \(C\) is the circumference and \(r\) is the radius.

Lets solve for \(r\).

Divide both sides of the equation by \(2\pi\).

\(\dfrac{C}{2\pi}=r\)

Now we have an equation to evaluate the radius.

Numerical Evaluation

In this example we are given

\(C=153.86153\\\pi =3.14\)

Substituting our values into our equation for the radius yields

\(r=\dfrac{153.86153}{2*3.14}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=24.5\)

Step-by-step explanation:

Did you mean

Evaluate 3/2 + (-k) + (-2) where k = -5/2

= 3/2 - (-5/2) - 2

= 3/2 + 5/2 - 2

= 8/2 - 2

= 4 - 2

= 2

Answer:

C

Step-by-step explanation:

Not A b/c the difference b/w 85 and 17 is not 76

Not D b/c the difference b/w 97 and 17 is not 76

Not B b/c 16 is not 20% of 92

By the process of elimination the answer is C

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer: I think a and b

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

This shape has 6 sides.

Sum of interior angles of a 6 sided shape is 720.

117 + 4x - 5 + 4x - 3 + 118

+ 3x + 6 + 3x - 3 = 720

4x + 4x + 3x + 3x

+ 117 + 118 + 6 - 5 - 3 - 3 = 720

14x + 241 - 11 = 720

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 490/14

x = 35

If m = 7x + 7, m = 4y, and m = 112

since m = 112

112 = 7x + 7

112 - 7 = 7x

105= 7x

x = 15

112 = 4y

y = 28

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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Answer:

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line with a slope of 2/3 and passing through the point (3, -4), we can plug in the point and the slope into the equation:

y = 2/3 * x + b

-4 = 2/3 * 3 + b

-4 = 2 + b

b = -6

So the equation of the line is:

y = 2/3 x - 6

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

C

Step-by-step explanation:

-4x bc its going up 4 and over 1 and its going backwards

The answers are 4. a) 15.7 cm, b) 26.25 m, 5. a) 128.74 cm, b) 40.82 mm, c) 45 cm and 6. 777.28 cm

Given are the circles and the circular items we need to find their circumference,

Circumference of a circle = 2π × radius = Diameter × π

4. a) Circumference = 5 × 3.14 = 15.7 cm

b) Circumference = 8.36 × 3.14 = 26.25 m

5. a) Circumference = 41 × 3.14 = 128.74 cm

b) Circumference = 13 × 3.14 = 40.82 mm

c) Circumference = 14.3 × 3.14 = 45 cm

6.

The perimeter of the cloth = circumference of the circular ends plus length in the middle,

= 76 × 2 × 3.14 + 150 × 2

= 477.28 + 300

= 777.28 cm

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Answer:

7      15

8      5       4

- 2      9        2

____________

  5          6          2

cross out the 8 and the 5

Answer:

The function is always Decreasing

Step-by-step explanation:

By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.

The surface area of a similar cylinder with a diameter 3 cm is  8.4375π cm².

If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be similar if their respective angles are congruent and their corresponding side length ratios are identical.

Given a cylinder with a diameter 8 cm and a surface area 60π cm²

let the radius be  R = dia/2 = 8/2= 4 cm

and let the height be H

total surface area of cylinder  = 2πR(H + R)

60π = 2π(4)(4 + H)

4 + H = 60/8

H = 7.5 - 4

h = 3.5 cm

and a cylinder is similar to given cylinder,

let radius be r and height be h

given dia = 3 cm

r = 3/2 = 1.5 cm

since both cylinders are similar so the ratio of their height to radius is equal,

R/H = r/h

h = Hr/R

h = (3.5)(1.5)/4

h = 1.3125 cm

total surface area of cylinder  = 2πr(h + r)

total surface area of cylinder  = 2π(1.5)(1.5 + 1.3125)

the total surface area of the cylinder  = 8.4375π cm²

Hence the area of a cylinder is 8.4375π cm².

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\(s = 5000(1.07) {}^{t} \)

\(s = 5000(1.07) {}^{10} \)

\(s = 5000(1.96715)\)

\(s = 9835.756 \: dollars\)

Answer:

Step-by-step explanation:

b