A figure was rotated 270° clockwise about the origin.
Which is most likely the new figure?

Answer:

3

Step-by-step explanation:

3 is the answer im pretty sure

if its not them im sorry

Evaluate S8: 2+6+10+14

2+6+10+14 = 32

8

Given the expression below

According to the rule of PEMDAS, Division will come first to have;

Followed by addition (A)

Then Subtraction (S)

The value of the given expression on simplification is 8

Answer:

c , I think :))))))))))))

Answer: C

Step by Step Explanation:

Can not give, sorry

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

Answer:

0

Step-by-step explanation:

srry if it's wrong :/

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

Answer:

75%

Step-by-step explanation:

Answer: 75

Step-by-step explanation: there ya go M8

Answer:

$39.99

Step-by-step explanation:

31.97 * 6% = 1.92

1.92 + 31.97 = 33.89

33.89 * 18% = 6.10

6.10 + 33.89 = $39.99

Answer:

99

Step-by-step explanation:

Answer:

The area of the rectangle is 0.0875  sq ft.

Step-by-step explanation:

Given that,

The length of the rectangle, L = 0.35 feet

The breadth of the rectangle, B = 1/4 feet

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

\(A=\dfrac{1}{4}\times 0.35\\\\A=0.0875\ ft^2\)

So, the area of the rectangle is 0.0875  sq feet.

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

24 square units

Step-by-step explanation:

The formula for computing the area of a trapezoid is shown below:

As we know that

Area of a trapezium is

\(= \frac{1}{2} \times h(a+b)\)

where

h = perpendicular height

The a and b =  length of the parallel sides.

Now,

h = 2 - -2 = 4 units

a = 5 - -3 = 8 units

b = 3 - -1 = 4 units

Now placing these values to the above formula

So, the area of a trapezoid is

\(= \dfrac{1}{2} \times 4(8+4)\)

\(= 2 \times 12\)

= 24 square units.

Hence we applied the above formula so that the area of trapezoid could come

For least amount of fencing, length and width of rectangular area should be 14 feet and 7 feet respectively.

Let us consider length and width are l and w respectively.

Area of rectangular region = l x w

l x w = 98

w = 98/l

Since, no fencing needed along the river.

So, perimeter of rectangular region, P = 2w + l

Substituting the value of w in above expression.

We get,    

P = 2(98/l) + l

= 196 /l + l

For least amount of fencing, perimeter should be minimum

Differentiate perimeter expression with respect to length l.

dP/dl = -196/l^2 +1 =0

l^2 = 196

l= sqrt(196)

l= 14 feet

so, w= 98/14

w = 7

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Answer:

It is c-88=405 trust me :D

Step-by-step explanation:

*whispers* It doesn't hurt to give brainliest, I only need one more for my next tier, can I have it?

Answer:

c-88=405     c=493

Step-by-step explanation:

Answer:

\(\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}\)

C. n/90 rad/sec.

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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The correction is in 4th step (10 = -2x+20), The correction is, there will be no negative sign before 2x.

In mathematics, simply or simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.

Given are steps of solving of an equation,

The correct simplification is:

-2(3x-5) = 4(x+3)+8

-6x+10 = 4x+12+8

-6x+10 = 4x+20

10 = 6x+4x+20

10 = 10x+20  {corrected step}

10x = 10-20

10x = -10

x = -1

Hence, the correct value of x is -1, and the mistake was in step 4, that is -2x, we should replace -2x with 10x

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The length of BD is 18.5 units.

In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.

Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.

In triangle ABD, we have the following sides:

AB = AD = 22 (given)

BD = ?

Now, let's consider triangle CBD. In this triangle, we have the following sides:

BC = DC = 15 (given)

BD = ?

Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.

The area of triangle ABD can be calculated as:

Area(ABD) = (1/2) * AB * BD

Similarly, the area of triangle CBD can be calculated as:

Area(CBD) = (1/2) * BC * BD

Since the areas of ABD and CBD are equal, we can equate their expressions:

(1/2) * AB * BD = (1/2) * BC * BD

We can cancel out the common factor (1/2) and solve for BD:

AB * BD = BC * BD

Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:

AB = BC

In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.

BD is equal to half of the hypotenuse AC:

BD = (1/2) * AC

Substituting the given values, we have:

BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5

Therefore, the length of BD is 18.5 units.

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The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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Answer:

Coordinates of B is (3,-4)

Step-by-step explanation:\(\frac{-7+x^{2} }{2}=-2\)

\(\frac{2+y^{2} }{2} =-1\)

You multiply -2 by 2 to get -4 and then create the equation \(-7+x^{2} = -4\) then you substitue -7 for +7 and add +7 to -4 which gives you 3 (x coordinate of B)

You multiply -1 by 2 to get -2 and then create the equation\(2+y^{2} =-2\) then you subtract 2 by -2 which gives you -4 (y coordinate of B)

To check your answer use the midpoint formula \(( \frac{x^{1} +x^{2}}{2} ) ( \frac{y^{1} +y^{2}}{2} )=M\)

\(\frac{-7+3}{2} =\frac{-4}{2} =-2\\\frac{2+ -4}{2} =\frac{-2}{2} =-1\)   which will give you the midpoint (-2,-1)

The required coordinate of the endpoint B is given as (3, -4).

A midpoint is a point on the line whose distance from both ends of the line is equal.

Here,
midpoints between any two points are given as,
x = x₁ + x₂ / 2    ; y = y₁ + y₂

since, the midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2),

So we have (x , y) = (-2, -1) and A(x₁, y₁) = (-7, 2), and to determine B(x₂, y₂)

Now.
x = x₁ + x₂ / 2    ; y = y₁ + y₂/2

-2 = -7 + x₂ /2  ; -1 = 2 + y₂ /2
x₂ = 3               ; -4

Thus, the required coordinate of the endpoint B is given as (3, -4).

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Answer:

A

Step-by-step explanation:

5 - \(\frac{3}{2}\) x ≥ \(\frac{1}{3}\)

multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

30 - 9x ≥ 2 ( subtract 30 from both sides )

- 9x ≥ - 28

divide both sides by - 9 , reversing the symbol as a result of dividing by a negative quantity.

x ≤ \(\frac{28}{9}\)

Step-by-step explanation:

Hey there!

From the given figure;

Angle ABE = 90°.

And angle ABC= [(3x+7)° + (5x+11)°].

Now, Angle ABE + Angle ABC= 180° [Being linear pair].

or, 90° + (3x+7)° + (5x+11)°= 180°

or, (3x+7)° + (5x+11)°= 90°

or, 8x + 18° =90°

or, 8x = 90°-18°

or, X = 9°

Therefore, X= 9°.

Now,

Angle DBC = (5*9+11)°

= 56°

Therefore, the measure of angle DBC is 56°.

Hope it helps!

\(\huge\bold{To\:find:}\)

✎ The measure of ∠ DBC.

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\sf\purple{The\:measure\:of\:∠DBC\:is\:56°. }\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

Since it is right-angle,

\(Sum \: of \: angles \: = 90° \\ ⇢ (3x + 7)° + (5x + 11) ° = 90° \\ ⇢3x° + 7° + 5x° + 11° = 90° \\combining \: the \: like \: terms, \: we \: have \\ ⇢3x° + 5x° + 7° + 11° = 90° \\ ⇢8x° = 90° - 18° \\ ⇢8x° = 72° \\ ⇢x° = \frac{72°}{8} \\ ⇢x° = 9°\)

Substituting the value of \(x°\) in ∠ DBC, we have

\((5x + 11) °\\ = 5 \times 9° + 11 °\\ = 45° + 11° \\ = 56°\)

\(\sf\blue{Therefore,\:the\:measure\:of\:∠DBC\:is\:56°.}\)

\(\huge\bold{To\:verify :}\)

\((3x + 7) ° + (5x + 11)° = 90° \\ \: ➡ \: (3 \times 9 + 7)° + (5 \times 9 + 11)° = 90° \\ ➡ \: 34° + 56° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S\)

Hence verified.

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

The center of the circle is (13, 2)

The radius of the circle is 9

To find the center and radius of the circle described by the equation:

(x + 13)² + (y + 2)² = 81

We can compare with the standard form of the equation of the circle which is

(x - h)² + (y - k)² = r²

it can be deduced that

-h = 13, h = -13

-k = 2, k = -2

r² = 81, r = 9

This is the equation for a circle with center at (13, 2) and radius 9. So the center of the circle is (13, 2) and the radius is 9.

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Answer:

Center = (-13,-2)
Radius = 9

Answer:

y= -5/2x+11

Step-by-step explanation:

You want to first reorder the equation into slope intercept form

First subtract 5x from both sides

5x-5x+2y = -8-5x

It should look like:

2y = -5x - 8

Then isolate your y variable

Since the y is multiplied with 2 divide by 2 to isolate and remember to divide the other side as well

It should look like:

2y/2 = -5/2x -8/2

This will result in y = -5/2x - 4

Now since the line is parallel the slope will be the same but to pass through a different point the y intercept will have to change.

Re make your equation and you have:

y = -5/2x + b

Now plug in your (x,y) value for the x and y in the slope intercept form.

-9 = -5/2(8) +b

Now solve for b:

-9 = -40/2 +b

-9 = -20 +b

Isolate your y intercept by adding 20 to both sides

-9 + 20 = -20 + 20 +b

which results with b = 11

Now you have all components to your final slope intercept form giving you the answer

y = -5/2x + 11

The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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