10. The perimeter of a rectangular field is 100 ft and its width is 20 ft. Find
the length and the area of this rectangular field.

Answer:

As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.

If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.

Lets start by finding the equation.

25 is the constant, .3 is the slope, and 50.2 is the final.

This means that our equation is:

50.2 = .3x + 25

50.2 - 25 = .3x

25.2 = .3x

25.2 / .3 = x

84 = x

This means that Ken travelled 84 miles if his bill was $50.2.

I hope this helps! :)

(36.39- 2.99)/20

Total- chips, so total amount for juice.

Then, divide by 20 because she bought 20 bottles

Answer:

1.67

Step-by-step explanation:

36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67

Answer:

86.2 in squared

Step-by-step explanation:

Harons formula

Answer:

93.7

Step-by-step explanation:

x≥ 0 , everthing to the right of the y-axis

y≥ 0 , everthing above the x-axis

So far you are in quadrant I of the x-y plane

y ≤ 3 , everthing from the above, but also below the horizontal line y = 3

lastly y ≤ -x + 5

sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line

My diagram has a simple trapezoid consisting of a

rectangle with a right-angled triangle attached

now our Objective Function is

C = -5x + 3y , which is a line with slope 5/3

letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.

On my diagram that looks like (5,0)

Step-by-step explanation:

by understanding how a number actually works.

when I write e.g. the number 2648, what did I actually tell you ?

that there is a value or quantity that is

8×10⁰ + 4×10¹ + 6×10² + 2×10³

every number you or anybody else has ever written represented this type of information.

so, now we have a 2-digit number : xy

its value is : y×10⁰ + x×10¹

and because 10⁰ = 1 and 10¹ = 10, this is simply

x×10 + y or 10x + y

the description tells us that

|x - y| = 2

and that xy + yx = 132

that means

10x + y + 10y + x = 132

11x + 11y = 132

we can divide by 11 and get

x + y = 12

like 8+4 or 9+3.

and we know the difference between x and y is 2

like 6 and 4, or 1 and 3.

normally we should know the solution already (I do), but let's finish it formally.

we use one scenario of the absolute value equation :

x - y = 2

x = y + 2

and we use this in the second equation :

y + 2 + y = 12

2y + 2 = 12

2y = 10

y = 5

x = y + 2 = 5 + 2 = 7

the same, just with reversed positions, is the result when using

y - x = 2

so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.

Answer:

1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00

Step-by-step explanation:

Answer:

x=13

Q=30

P=126

R=24

Step-by-step explanation:

To find x put them all into an equation like this:

(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)

calculate and you'll get x=13.

then to find each angle just put 13 in place of x

4(13)-22=30

10(13)-4=126

(13)+11=24

Answer:

164.67 cm

Step-by-step explanation:

The arithmetic mean of height of 5 pupils is 164cm . Let the sum of heights of 5 pupils be x . Then , according to the question ,

[tex]\sf\longrightarrow \dfrac{x}{5}= 164cm [/tex]

On solving ,

[tex]\sf\longrightarrow x = 5*164cm =\bf{820cm}[/tex]

When a student of height 168cm is added ,

[tex]\sf\longrightarrow Mean = \dfrac{820cm+168cm}{6}\\[/tex]

[tex]\sf\longrightarrow Mean = \dfrac{988}{6}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\pink{\sf Mean = 164.66 \approx 164.67 cm }}[/tex]

The triangles are not congruent.

Option A is correct.

Answer: 0.07 x 5

There are 35 colored out of the 100 = 35%

35% = 0.35 = 0.07 x 5

Answer:

y = -1/2x +5

Step-by-step explanation:

The perpendicular slope will be the negative reciprocal of the original slope

the reciprocal of 2 is 1/2, and the negative of that is -1/2

}

Answer:B

Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down

Answer:

ans is i think a) $5.50

Step-by-step explanation:

'cuz if 5 boxes cost $27.50

so it will be

[tex]27.50 \div 5 \\ = 5.50[/tex]

Answer:

p = 16

Step-by-step explanation:

(p + 2) - 4 = 14

We can just drop the parentheses:_

p + 2 - 4 = 14

p - 2 = 14

Add 2 to both sides:-

p - 2 + 2 = 14 + 2

p = 16

Answer: C: pi/6 and 11pi/6 only

Step-by-step explanation:

Edge2020 :]

Answer:

its A

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

first you gotta do 3x4 which is 12 then 12x12. and then you get 144.

Robert will run a total of 144 miles during the 12 weeks.

Given:

Robert runs 3 times a week for 12 weeks.

So, total number of runs will be:

= 3 runs/week * 12 weeks

= 36 runs

Since each run is 4 miles, multiply the total number of runs by the distance per run:

= 36 runs * 4 miles/run

= 144 miles

Therefore, Robert will run a total of 144 miles.

Learn more about Unitary Method here:

https://brainly.com/question/28276953

#SPJ6

Answer:

I don't have the Pound Sterling sign on my keyboard but the answer is $45.60

Step-by-step explanation:

Since each adult ticket costs $51.60 and there are 12 adults

The total cost of adult tickets = $51.60*12=$619.20

Then take the total cost of tickets and subtract $619.20 from it

$1804.80-619.20=$1185.60 that's the total cost of children's tickets

Since there are 26 children you have to divide that answer by 26 to get it

$1185.60/26=$45.60

Answer:

12

Step-by-step explanation:

f(-2)=3(-2)^2

f(-2)=3(4)

f(-2)=12

Given:

Radius = 15 cm

To Find:

Circumference of the circle

Let's start.

We know that the formula of Circumference is

[tex] \sf \longmapsto2\pi r[/tex]

[tex] \sf \longmapsto \: 2 \times 3.14 \times r[/tex]

[tex] \sf \longmapsto2 \times 3.14 \times( 15 \: cm)[/tex]

[tex] \sf \longmapsto6.28 \times (15 \: cm)[/tex]

[tex] \sf \longmapsto94.2 \: cm[/tex]

[tex] \boxed{\red{\boxed{\sf 94.2 \: cm}}}[/tex]

Answer:

(3×2) + (3×4)

Step-by-step explanation:

One box's area is 3×2 and the other box's area is 3×4, so when you add them, you get the total area.

Answer:

Step-by-step explanation:

2x = x + 40

2x - x = x - x + 40

x = 40

∠I = ∠Q = 33°

∠H = ∠P = 80°

∠J = ∠R = 67°