What is the y-intercept?
y = -x + 3

Answer:

225 seconds or approximately 3.75 minutes.

Step-by-step explanation:

To determine how long it would take to fill a larger carton, we can use the concept of volume. The time required to fill a carton is directly proportional to its volume. Here's how we can calculate the time:

1. Calculate the volume of the smaller carton:

=> Volume = Length x Width x Height

=> Volume = 1 ft x 2 ft x 2 ft = 4 ft³

2. Calculate the volume of the larger carton:

=> Volume = Length x Width x Height

=> Volume = 5 ft x 5 ft x 6 ft = 150 ft³

3. Determine the ratio of the volumes:

=> Ratio = (Volume of larger carton) / (Volume of smaller carton)

=> Ratio = 150  ft³ / 4  ft³ = 37.5

This means that the larger carton is 37.5 times larger than the smaller carton.

Since the time required is directly proportional to the volume, we can multiply the ratio by the time it takes to fill the smaller carton:

=> Time for larger carton = (Ratio) x (Time for smaller carto)

=> Time for larger carton = 37.5 x 6 seconds = 225 seconds

Therefore, it would take 225 seconds to fill a carton that measures 5 ft by 5 ft by 6 ft.

Answer:

At least one pair of parallel sides-  trapezoid

two pairs- parallelogram

four right angles- rectangle

four right angles and four equal sides- square

four equal sides-rhombus

Step-by-step explanation:

Answer: -10, -7, -5, -3, -2.1, -2.01, -2.001.

Step-by-step explanation: The numbers you need to pick, have to be less than -2. -10, -7, -5, -3, -2.1, -2.01, and -2.001, are less than 2. -2, -1.999, -1.99, -1.9, -1, 1, 3, and 6, are all greater than 2, so they won't fit the equation.

Recall that \(\cos(x)+\cos(y)=2\cos \left(\frac{x+y}{2} \right)\cos \left(\frac{x-y}{2} \right)\).

\(\cos(12x)+\cos(16x)=0 \\ \\ 2\cos(2x)\cos(14x)=0 \\ \\ \cos(2x)\cos(14x)=0\)

If \(\cos(2x)=0\), then \(x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \cdots\).

If \(\cos(14x)=0\), then \(x=\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}, \cdots\).

So, the three smallest positive \(x\) intercepts are \(\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}\).

Answer:

so as i draw for the triangle we solve it by:

b=base=4m

h=height=2m

A=1/2bh

=1/2(2m)(4m)

= 4 squer meter

for the rectangle we calculate Area and perimeter by

A =l×w

=3cm×5cm

=15 squere centimeter

P= w+w+l+l

=2w+2l

=2(3cm)+2(5cm)

=6cm+10cm

=16cm

for the squere:

s = 7 inch so wecan calculate area and perimeter by

A = s^2

=(7in)^2

= 49 squere inch

P= 4s

=4(7in)

=28inch

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

Answer:

C

Step-by-step explanation:

most of data is around 52

Answer:Most of that data is around 52.

Step-by-step explanation: well i agree with the first answer but sorry if im wrong.

Answer:

(D)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

a,b,c are the same thing just in different forms so d is the right one.

also a is suppose to be a/1 i think for question d

Answer:

12 so he's has 36 other papers to grade

Step-by-step explanation:

if he has graded 12 paper-48 papers =36

well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.

Answer: 36 is wrong

Step-by-step explanation: 360 - 36 = 324  degrees

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

\(b = 3 + 2h\)

\(Area = 22\)

Required

Find the length of the base

The area of a triangle is calculated as thus;

\(Area = \frac{1}{2} * b * h\)

Substitute 22 for Area and 3 + 2h for b

The formula becomes

\(22 = \frac{1}{2} * (3 + 2h) * h\)

Multiply both sides by 2

\(2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h\)

\(44 = (3 + 2h) * h\)

Open the bracket

\(44 = 3 * h + 2h * h\)

\(44 = 3h + 2h^2\)

Subtract 44 from both sides

\(44 - 44 = 3h + 2h^2 - 44\)

\(0 = 3h + 2h^2 - 44\)

Rearrange

\(0 = 2h^2 +3h - 44\)

\(2h^2 +3h - 44 = 0\)

At this point, we have a quadratic equation; which is solved as follows:

\(2h^2 +3h - 44 = 0\)

\(2h^2 + 11h - 8h - 44 = 0\)

\(h(2h + 11) - 4(2h + 11) = 0\)

\((h - 4)(2h + 11) = 0\)

Split the above

\((h - 4) = 0\ or\ (2h + 11) = 0\)

\(h - 4 = 0\ or\ 2h + 11 = 0\)

Solve the above linear equations separately

\(h - 4 = 0\)

Add 4 to both sides

\(h - 4 + 4 = 0 + 4\)

\(h = 0 + 4\)

\(h = 4\) ---- First value of h

\(2h + 11 = 0\)

Subtract 11 from both sides

\(2h + 11 - 11 = 0 - 11\)

\(2h = 0 - 11\)

\(2h = -11\)

Divide both sides by 2

\(\frac{2h}{2} = -\frac{11}{2}\)

\(h = -\frac{11}{2}\) ------ Second value of h

Since height can be negative, we'll discard \(h = -\frac{11}{2}\)

Hence, the usable value of height is \(h = 4\)

Recall that \(b = 3 + 2h\)

Substitute 4 for h

\(b = 3 + 2(4)\)

\(b = 3 + 8\)

\(b = 11\)

Hence, the length of the base is 11 meters

Answer:

A. 267.95 cm^2

Step-by-step explanation:

4/3 X 3.14 X 4^3 = 267.946 to 2d.p 267.95

Answer:

25 inches squared

Step-by-step explanation:

Answer:

3  2/6

Step-by-step explanation:

I used a calculator inserted 5/6 x 4 then got 3.3333333333 simplified it then my final answer was 3 2/6 or you could reduce that answer to 3 1/3.

I think that's the answer you might want to double-check my math.

Answer:

D

Step-by-step explanation:

Answer:

The answer is A on the edge.

Step-by-step explanation:

A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)

Answer: 6029 gal

Answer:

  12 cm

Step-by-step explanation:

You want the longest possible integer length of the third side of a triangle with sides 4 cm and 9 cm.

The triangle inequality requires the longest side be less than the sum of the other two sides:

  x < 9 cm + 4 cm

  x < 13 cm

The largest integer length less than 13 cm is 12 cm.

The longest possible third side is 12 cm.

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Answer:

1/5

Step-by-step explanation:

There are 3 numbers of less than 4 (1, 2 and 3) and there are 2 multiples of 9 (9 and 18). So there are 5 favourable outcomes and 25 possible outcomes. So you put 5/25 and cancel down, which makes 1/5. I hope this helps!

Answer:

1/5

Step-by-step explanation:

There are three numbers less then four (1, 2, and 3) and two multiples of nine (9 and 18) from 1-25. That would make the fraction 5/25 before simplifying to 1/5.

Answer:

2 11/12

Step-by-step explanation:

I know this because you first add 1/3 + 3/4, and that equals 1 1/12. Then, I did 4 - 1/12 and got the answer 2 11/12.

Answer: It's B Barcelona which took me forever to find it but it is Barcelona I kept bringing up European so then I had to look up European about it and then it brought up Barcelona.

Step-by-step explanation:

HI future people.

90 cars out of 450

90 / 450 = 1/5

I guess the number of floors is 5

Answer: (-7,5) and (-3,5) :) there for answer is A

Step-by-step explanation:

Answer:

a

Step-by-step explanation: