Triangle PQR is reflected across a line, P = (4,–5), and P’ = (–4, –5). What is the line of reflection?
the x-axis
the y-axis
the line y = x
the line y = –x

Answer:

2.4 per pound

Step-by-step explanation:

36÷15=2.4

how do i know this i used my brain

Answer: 4.56 kg

Step-by-step explanation:

In total, 7.6 kg of both pears and apples were sold.

Now, out of that 7.6kg, two-fifths is apples and the rest are pears.

This means that Pears are:

= 1 - 2/5

= 3/5

The weight of pears is therefore:

= 3/5 * 7.6

= 4.56 kg

Answer:

a = 0, b = -15

Step-by-step explanation:

Given the following complex number;

x1 = 3(cosπ+isinπ)

x2 = 5(cosπ/2 - isinπ/2)

x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)

x1x2 = 15(0 - i(-1)+0 -0)

x1x2 = 15(-i)

x1x2 = -15i

x1x2 = 0-15i

Since

0 - 15i = a+ bi

Compare

a = 0

-15-  = bi

b = -15

Hence a = 0, b = -15

Answer:

This does not explain

Step-by-step explanation:

...

Answer:

26

Step-by-step explanation:

With some trial and error I found out that the square equals 5 and the circle equals 7. Now to find the triangle, I used the second equation. It was ⬜+⭕+⭕+⛛+⛛ = 27

So I put in the numbers in place of the square and circle:

5+7+7+⛛+⛛ = 27

5+7+7 = 5+14=19

27-19=8

So now we know that 2⛛=8

So I did 8 ÷ 2 = 4. ⛛=4

So we know that ⛛ = 4, ⭕ = 7, ⬜ = 5

Lets solve: ⬜ + ⬜ + ⬜ + ⭕ + ⛛ = ?

Translating into: 5 + 5 + 5 + 7 + 4 = 26

So our final answer is 26.

Answer:

Step-by-step explanation:

Parallel lines has the same slope.

The equation of a line that passing through point (x₁, y₁) with a slope of m is:

y - y₁ = m(x - x₁)

m = -3

(-1, 5)   ⇒  x₁ = -1,  y₁ = 5

Therefore the equation:

y - 5 = -3(x + 1)

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

Answer:

The distance in one sweep is 100 cm approximately

Step-by-step explanation:

Here, we want to calculate the distance the wiper covers in one sweep

Mathematically;

we have a structure like an arc of a circle. It is the length of this arc we want to calculate.

The formula for the length of an arc is;

theta/360 * 2 * pi * r

r is the radius which in this case is 50 cm

We have ;

115/360 * 2 * 3.1412 * 50 = 100 cm approximately

Answer:

C

Step-by-step explanation:

Answer:

I don't know hhdhjrrhhejeuie

Answer: 1,000 products

Step-by-step explanation:

If 20 out of 800 products are found to be defective, the percentage of defective products would be:

= 20 / 800

= 2.5%

At this same rate of 2.5%, if there are 40,000 products instead of 800, the number of defective products would be:

= 2.5% * 40,000

= 1,000 products

Answer:

Step-by-step explanation:

Sales tax = $750 × 0.08375 = $62.8125

Answer:

[tex]\boxed {\boxed {\sf \$62.81}}[/tex]

Step-by-step explanation:

To find the sales tax, multiply the price by the tax rate.

[tex]sales \ tax=price * tax \ rate[/tex]

The price of the TV is $750 and the tax rate is 8.375%, but we must convert it to a decimal. Divide by 100 or move the decimal place two spots to the right.

Substitute the values into the formula.

[tex]sales \ tax= 750*0.08375\\sales \ tax= 62.8125[/tex]

Round to the nearest cent, which is the hundredth place. The 2 in the thousandth place tells us to leave the 1.

[tex]sales \ tax = 62.81[/tex]

The sales tax on the TV is approximately $62.81.

Answer:

98 bracelets

Step-by-step explanation:

Number of days, n = 6

Evan:

= 10 + 8(n - 1)

= 10 + 8(6 - 1)

= 10 + 8(5)

= 10 + 40

= 50 bracelets

Dorinda

= 8n

= 8(6)

= 48 bracelets

Total bracelets they will make in all = Evan + Dorinda

= 50 + 48

= 98 bracelets

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

Answer:

116°

Step-by-step explanation:

There are 2 right angles so we add them:

1 right angle = 90°

2 right angle: 90° + 90° = 180°

As we can we have another value which is 64° so we add that as well:

180° + 64° = 244°

Since it is a 4-sided shape all the values will add up to 360°

Subtract 360 and 244

360° - 244° = 116°

x = 116°

Hope this helps

Answer:

58 degrees

Step-by-step explanation:

We know that angles on a straight add up to 180 degrees. Therefore:

To find the angle at the top of the triangle do 180-112 = 68

To find the angle at the right side of the triangle do 180 - 126 = 54

We know that angles in a triangle add up to 180 degrees. Therefore:

To find m do 180 - (54 + 68) = 58

Answer:

5. x= 13 y= 18.4

6.

Step-by-step explanation:

question 5:

tan45=x/13

multiply both sides by 13 to get x by its self.

end up with 13×tan45 so put that in the calculator to get x

then you do cos45= 13/y

multiply by y on both sides.

end up with y×cos45=13

divide the cos45 by both sides

put 13/cos45 to get y

question 6:

sin30=4/x

multiply x on both sides

end with x×sin30 =4

divide sin30 on both sides

put 4/sin30 in a calculator to get x

same thing again but with tan30 ahaha

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Answer:

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

15^2 + 20 ^2 = x^2

225+400= x^2

625 = x^2

Take the square root of each side

sqrt(625) = sqrt(x^2)

25 = x

Step-by-step explanation:

29 + 33 = 62

6 + 7 > 12

number one is 33

number two is d = 7

Answer: c=33 and d=7

Step-by-step explanation:

Given:

The selling price of a ratio set = 72.00

Profit percent = 8%

To find:

The cost price for the radio set.

Solution:

Let x be the cost price for the radio set.

Radio set is sold at 8% profit.

[tex]\text{Selling price}=x+\dfrac{8}{100}x[/tex]

[tex]\text{Selling price}=x+0.08x[/tex]

[tex]\text{Selling price}=1.08x[/tex]

The selling price of a ratio set is 72.00.

[tex]72=1.08x[/tex]

[tex]\dfrac{72}{1.08}=x[/tex]

[tex]x=66.666...[/tex]

[tex]x\approx 67[/tex]

Therefore, the cost price for the radio set is 67.

Answer: $75.07

Step-by-step explanation:

company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.

Answer:

$75.07

Step-by-step explanation:

company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.

Answer:

Question 1:

1. 3.14

2. 6.2

Question 2:

1. 20

2. 25

3. 30

4. 35

Answer:

y< 6.28

Step-by-step explanation:

y<157/25 y<6 7/25 , Y={-infinity sign, 6.28

Answer:

14,00

Step-by-step explanation:

14 bru

Answer:

y=x/4

Step-by-step explanation:

add x to the other side of your equation so: 4y = x

now divide both sides by 4 so your y is isolated: y=x/4

Answer:

140 socks or 70 pair of socks

Step-by-step explanation:

35 x 4 = 140

Answer:

140

Step-by-step explanation:

35 times 4 is 140