Please help me with this problem, I've been trying for more than twenty minutes. pls help.

Answer:

\(3\)

Step-by-step explanation:

\(10 \div ( \frac{ {3}^{2} + 1 }{5 - 2} )\)

\( \frac{10(5 - 2)}{ {3}^{2} + 1} \)

\( \frac{10 \times 3}{ {3}^{2} + 1 } \)

\( \frac{30}{ {3}^{2} + 1 } \)

\( \frac{30}{9 + 1} \)

\( \frac{30}{10} \)

\(3\)

Answer:4/7*1/4

trust me >:)

Answer:

When two shapes are similar but not congruent, the sequence of steps showing the similarity usually has a single dilation and then the rest of the steps are rigid transformations. The dilation can come at any time.

Step-by-step explanation:

When two shapes are similar but not congruent, the sequence of steps showing the similarity usually has a single dilation and then the rest of the steps are rigid transformations. The dilation can come at any time.

Answer:

5 km / 15 km/h = 0.3333 hours

Step-by-step explanation:

This is calculated by dividing the distance he has to travel (5 km) by his average speed (15 km/h) and then converting the result to minutes.

0.3333 hours x 60 minutes/hour = 20 minutes

Answer:

1. d<=200

2. f>=35

Step-by-step explanation:

Answer:

d ≤ 200

f  ≥ 35

Step-by-step explanation:

"no more than 200 " means it can be equal to or less than 200. Therefore, we would use the "less than or equal to" sign, or "≤". We would put 200 at the end as it is no more than 200 feet, so 200 is the max.

"at least 35" means it is equal to or more than 35. Therefore, we would use the "greater than or equal to sign" or "≥". Since it is talking about 35 miles, we put the 35 at the end with the sign pointing away from it since 35 is the lesser number.

Remember, the "mouth" or opening of the equality sign always points to the greater or bigger number. You can think of it as an alligator wanting to eat the bigger number.

Hope this helps! :)

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.

If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,

P = 3/9

P = 1/3

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

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After the dilation with scale factor K=4 the polygon would look like this:

What is a dilation with scale factor K?

A dilation (similarity transformation) is a transformation that increases or decreases the size of a figure. It necessitates the use of a center point and a scale factor, k. The value of k determines whether the dilation enlarges or contracts. If |k| is greater than one, the dilation is an enlargement.

Applying a dilation centered at the origin with scale factor 'k' has the effect of multiplying both coordinates of a point by 'k':

The given points are

Q(-3-2) (1, 2), S(4,1)

After scaling, the new coordinates will be

Q'(-12, -8), (4, 8), S'(16, 4).

Now draw the polygon.

Hence, we can draw the new polygon.

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Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Answer:

\(f(x)=-x^2\)

Step-by-step explanation:

Vertex form of a quadratic function:

\(f(x)=a(x-h)^2+k\)

where:

If the vertex is at the origin, then (h, k) = (0, 0)

\(\implies f(x)=a(x-0)^2+0\)

\(\implies f(x)=ax^2\)

Comparing this with the answer options suggests that the function with a vertex at the origin is \(f(x)=-x^2\)

Answer: 2+7c

Step-by-step explanation:

Add any alike expressions. You can easily spot alike expressions if they have similar variables.

2c and 2 are not alike.

2 and 5c are not alike.

2c and 5c are alike, so let's add them together!

2c+5c=7c

The equation is now 2+7c.

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer:

The area of the kite is 27.6 cm²

Step-by-step explanation:

Given;

dimension of the equilateral triangle, = 6 cm

dimension of the isosceles triangle = 5 cm

Please check the image uploaded for a detailed solution.

Answer:

Out of all possible choices you've shown, I'd say the best answer would be A

Step-by-step explanation:

The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s  and the solution is g=46, s=29, b=29

(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.

This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:

g + s + b = 104

(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:

g = 46

s = b

Thus, the relationship between the number of silver to bronze medals is s = b

(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:

g + s + b = 104

46 + b + b = 104

46 + 2b = 104

2b = 104 -46

2b = 58

b = 58/2

b = 29

Also, s = 29        (Remember: s = b)

Thus, g = 46, s =29, b = 29

Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively

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Option A. To translate a figure 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex.

The original vertices are:

(4, 4), (4, 2), and (6, 3)

Subtracting 4 from the x-coordinates, we get the new vertices:

(0, 4), (0, 2), and (2, 3)

To understand how to translate a figure, it is helpful to visualize the original and new positions of the figure in a coordinate plane. In this case, the original triangle has vertices (4, 4), (4, 2), and (6, 3) as shown below:

   (4,4)

     / \

    /   \

(4,2)----- (6,3)

To translate this triangle 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex. This will shift the entire triangle to the left by 4 units.

So, the new x-coordinates of the vertices become:

x-coordinate of (4, 4) - 4 = 0

x-coordinate of (4, 2) - 4 = 0

x-coordinate of (6, 3) - 4 = 2

The y-coordinates of the vertices remain the same.

Therefore, the new vertices of the triangle are:

(0, 4), (0, 2), and (2, 3)

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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?

A. (0, 4), (0, 2), (2, 3)

B. (4, 0), (4, -2), (6, -1)

C. (4, 8), (4, 6), (6, 7)

D. (8, 4), (8, 2), (10, 3)

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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For given triangle, x is 4√5 using Pythagorean theorem.

What is Pythagorean Theorem?

Pythagoras Theorem (also known as Pythagorean Theorem) is a mathematical concept that explains the relationship between the sides of a right-angled triangle. The sides of a right triangle are also referred to as Pythagorean triples. This theorem's formula and proof are discussed with examples here.

The Pythagorean theorem is used to calculate the length of an unknown side and the angle of a triangle. We can deduce the base, perpendicular, and hypotenuse formulae from this theorem.

The Pythagoras Theorem formula is presented in the definition as:

Perpendicular² + Base² = Hypotenuse²

c² = a² + b²

Now,

Given that perpendicular =19

Hypotenuse=21

then Base²=21²-19²  using Pythagoras theorem

Base=√441-361

=√80

=4√5

Hence,

          x is 4√5

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Answer:scientific notation

Step-by-step explanation:

9.2 x 10^-2

the minus two is the tiny two by the number

Answer:

$224.825

Step-by-step explanation:

100%-60%=40%

40%=89.93

1%=89.93÷40=2.24825

100%=2.24825x100=224.825

I think its like this?

Answer:

\(A = 297\pi\)

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

\(A = \pi r(r + \sqrt{h^2+r^2})\)

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

\(r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm\)

To calculate the height of the cone, we must use the Pythagorean Theorem:

\(C^2 = A^2 + B^2\)

We can treat the side length as the hypotenuse \(C\), the radius as the base \(A\), and solve for height \(B\). Set the expression up like this:

\(C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25\)

Now we can plug into our original formula:

\(A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi\)

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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#Harry and Helen will receive a refund of $555.

What is weekly tax deduction?

Weekly tax deduction is the amount of taxes that is deducted in favor of the relevant tax authority from the weekly wages of the workers, from Harry and Helen's weekly earnings in this case.

Note that there 52 weeks in a year, in other words, the $187 weekly tax deduction must have been deducted 52 times in a year, hence, we can compute total deductions as weekly deduction multiplied by 52

Total deductions=$187*52

Total deductions=$9724

The fact that the amount of actual taxes of $9,169 is less than the total amount deducted thus far, implies that the couple would get a refund as shown below:

refund=total deductions-actual taxes

actual taxes=$9,169

refund=$9724-$9,169

refund=$555

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Answer:

It's D

Step-by-step explanation:

ANSWER

The coordinates of A are (2, -1)

EXPLANATION

Square A''B''C''D'' is

To transform square ABCD first do a rotation about the origin of 90°. The rule for this transformation is:

And then a translation 4 units lefts and 1 unit down.

In this case we have to perform the transformations backwards, to find square ABCD. First we have to reverse the translation, so we have to move the square A''B''C''D'' 4 units right and 1 unit up:

Now we have to rotate square A'B'C'D' 90° about the origin, but counter-clockwise. The rule in this case is:

Therefore, the vertices of square ABCD are:

Therefore, the coordinates of A in square ABCD are (2, -1)

Answer:

see below

Step-by-step explanation:

5/10 divide ?/?= 1/2

5/10 divide by 5/5 = 1/2

2. 12/15 divide ?/? = 4/5

12/15 divide by 3/3 = 4/5

3. 10/12divide ?/? = 5/6

10/12 divide by 2/2 = 5/6

4. 14/18 divide ?/? = 7/9

14/18 divide by 2/2 = 7/9

Answer:

\(\pm i\sqrt{2}\text{ and } \pm i\)

Step-by-step explanation:

\(\text{let u = } x^2\) so then \(u^2=x^4\).

This gives you the equation: \(u^2+3u+2=0\).

Now factor the equation by looking for factors of 2 that add up to 3, which is just 2 and 1. Use these to rewrite the equation: \((u+2)(u+1)\). So now just set each factor equal to 0:

\(u+2=0\\u=-2\)

Now substitute x^2 back in as u

\(x^2=-2\)

Take the square root of both sides

\(x=\pm \sqrt{-2}\)

Separate the radical into sqrt(-1) * sqrt(2)

\(x=\pm \sqrt{-1}*\sqrt{2}\)

Rewrite using i

\(x=\pm i\sqrt{2}\)

Now set the other factor equal to 0

\(u+1=0\\u=-1\)

substitute x^2 back in as u

\(x^2=-1\)

Take the square root of both sides

\(x=\pm\sqrt{-1}\)

rewrite using i

\(x=\pm i\)

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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