MATHEMATICS HIGH SCHOOL

One number is five more than another, and their sum is three less than three times the smaller. Find the numbers.If x represents the smaller number, which equation could be used to solve for x?

A. x 2 + 5 = 3x - 3
B. 2x + 5 = 3x - 3
C. 2x + 5 = 3(x - 3)

Answers

Answer 1
Answer:

Answer:

B.2x+5=3x-3.

Step-by-step explanation:

Let x represent the smaller number.

We have been one number is five more than another. The another number would be: x+5.

Sum of both numbers would be x+x+5=2x+5

Three times the smaller number would be  3x.

Three less than three times the smaller number would be  3x-3.

We have been given that their sum is three less than three times the smaller. We can represent this information in an equation as: 2x+5=3x-3.

Therefore, option B is the correct choice.
Answer 2
Answer: The answer is B, because if you were to write it out first you could modify the equation to look like that and still be true.

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The formula for the area of a trapezoid is A=1/2h(b1+b2) express b1 in terms of A, h and b2

Answers

The expression of  b1 in terms of A, h, and b2 is expressed as b_1 =(2A)/(h) - b_2

Given the formula for calculating  the area of a trapezoid expressed as:

A = (1)/(2)h(b_1+b_2)

We are to express b1 in terms of A, h, and b2 as shown

A = (1)/(2)h(b_1+b_2)\n2A = h(b_1+b_2)\n(2A)/(h) = b_1 + b_2\n b_1 =(2A)/(h) - b_2

Hence the expression of  b1 in terms of A, h, and b2 is expressed as b_1 =(2A)/(h) - b_2

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the answer is b1=(2A/h)-b2

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

Answers

We will use the Pythagorean theorem to determine the height:h^(2)=15^(2) - 3.5^(2) h^(2) =225 - 12.25=212.75 Finally: h= √(212.75)=14.5859
Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).

Answer: it's 14.6 feet

The length of the line from the center of a circle to any point on its edge is the ______________________ of a circle.circle
radius
diameter
ray

Answers

Answer:

diameter

Step-by-step explanation:

Answer:

Radius

Step-by-step explanation:

The radius is a straight line from the center to the circumference of a circle or sphere.

How long does it take the ferris wheel to make one full rotation?h(t)=9sin(20(t-pi/2))+12        , h in metres and t in seconds

Answers

This is a circular ferris wheel, with diameter of 9 meters, and the axis
mounted 12 meters off the ground.  The equation is the height of the
a point that starts out level with the axis, at 't' seconds after the wheel
starts up. 

Now here's where things start to go awry:

The period of the revolution is the time it takes for the angle
inside the sine to change by 2pi .

20(t - pi/2) = 2pi

20t - 10pi = 2pi

20t = 12pi

t = 12pi/20 = 1.885 seconds

I can't help it.  All I did was the math, and that was bullet-proof. 
It was up to whoever wrote the question to guarantee that the
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For one thing, I don't believe the 'pi/2' belongs inside the parentheses
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If the floor of a square office is 225 square units, what is the perimeter of the office?

Answers

The perimeter of an office whose floor area is 225 square units is 60 units

Further Explanation

Area

  • Area is a measure of how much space is occupied by a given shape.
  • Area of a substance is determined by the type of shape in question.

For example;

  • Area of a rectangle is given by; Length multiplied by width
  • Area of a triangle = 1/2 x base x height
  • Area of a circle = πr². where r is the radius of a circle,
  • Area of a square = S², Where s is the side of the square.etc.

Perimeter

  • Perimeter is defined as the distance along a two dimension shape.  Perimeter of different shapes is given by different formulas

For example;

  • The perimeter of a rectangle = 2(length+width)
  • The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.

In this case;

We are given the area of a square as 225 square units

Therefore; since the area of a square is given as s², where s is the side of the square.

Then; s² = 225

         s = √ 225

             = 15 units

But Perimeter of a square is given by; 4 × s

Thus; Perimeter = 4 × 15 units

                           = 60 units

Keywords; Perimeter, Area

Learn more about;

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter

Square have 4 equal sides length = a

A = 255 
A = a^2

255 = a^2   |sqrt
15 = a

P = 4a 
P = 4*15 = 60

a cylindrical tank has a radius of 15 ft. and a height of 45ft. how many cubic feet of water can the tank hold?

Answers

Try pi times 30 times 45, si. nce diameter is radius x2. 3.14 x 30 x 45 = answer.
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