if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height

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The inequality of the number line is x > -1

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

From the number line in the question, we can see that:

From the question, we have

Point = -1

Assume the following

As a general rule, open circles implies that the number at that endpoint is not included part of the solution set.

This means that the inequality of the number line is x > -1

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Answer:

a=11

Step-by-step explanation:

Let's solve your equation step-by-step.

√a+5=4

Solve Square Root.

√a+5=4

a+5=42(Square both sides)

a+5=16

a+5−5=16−5(Subtract 5 from both sides)

a=11

Check answers. (Plug them in to make sure they work.)

a=11(Works in original equation)

Answer: a=11

Step-by-step explanation: What the other person said. :D

Answer: -3x

Step-by-step explanation:

Answer:

-3.000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(-3*x+7)=0

STEP1:

Equation of a Straight Line

1.1 Solve y+3x-7  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on the Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y-axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y+3x-7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 7/1  =  7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/3 Our line therefore "cuts" the x-axis at x= 2.33333

 x-intercept = 7/3  =  2.33333

Calculate the Slope :

The slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 7.000 = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -6.000/2.000 = -3.000

Geometric figure: Straight Line

Slope = -6.000/2.000 = -3.000

x-intercept = 7/3 = 2.33333

y-intercept = 7/1 = 7.00000

Hope this helps!

Brain-List?

The height of the balloon is 1.3 miles above the ground.

Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).

The answer to this question can be found by using the trigonometric formula of Tangent. To calculate the height of the balloon, we must find the length of the hypotenuse in the triangle formed by the two towns and the balloonist.

Using the formula for tangent, we can calculate the length of the hypotenuse. The formula is:

tan (angle) = opposite side/adjacent side

In this case, the opposite sides are the two towns, and the adjacent side is the height of the balloon.

For the first town, the formula is:

tan 36° = 1.6/x

Solving for x, we can calculate the length of the hypotenuse for the first town to be 2.8 miles.

For the second town, the formula is:

tan 32° = 1.6/x

Solving for x, we can calculate the length of the hypotenuse for the second town to be 2.9 miles.

Since the hypotenuse is the total distance between the two towns and the balloonist, the height of the balloon can be calculated by subtracting the total length of the two towns (1.6 miles) from the hypotenuse of the second town (2.9 miles).

The height of the balloon is 1.3 miles above the ground.

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Answer:

What is height?

Height:

When a rectangle is drawn with horizontal and vertical sides, the word height makes it clear which dimension is meant; height labels how high (how tall) the rectangle is. That makes it easy to indicate the other dimension—how wide the rectangle is from side to side—by using the word width. And if the side-to-side measurement is greater than the height, calling it the length of the rectangle is also acceptable, as it creates no confusion.

The answer to this question can be found by using the trigonometric formula of Tangent. To calculate the height of the balloon, we must find the length of the hypotenuse in the triangle formed by the two towns and the balloonist.

Using the formula for tangent, we can calculate the length of the hypotenuse. The formula is:

tan (angle) = opposite side/adjacent side

In this case, the opposite sides are the two towns, and the adjacent side is the height of the balloon.

For the first town, the formula is:

tan 36° = 1.6/x

Solving for x, we can calculate the length of the hypotenuse for the first town to be 2.8 miles.

For the second town, the formula is:

tan 32° = 1.6/x

Solving for x, we can calculate the length of the hypotenuse for the second town to be 2.9 miles.

Since the hypotenuse is the total distance between the two towns and the balloonist, the height of the balloon can be calculated by subtracting the total length of the two towns (1.6 miles) from the hypotenuse of the second town (2.9 miles).

The height of the balloon is 1.3 miles above the ground.

Answer:

The answer is 112

Step-by-step explanation:

Area= base + base divided by 2 times height.

So 12+16 divided by 2 times 8.

Answer:

60

Step-by-step explanation:

Let's name "a number" "q."

The expression we can set up is 6+9q

Plug 6 in for q.

6+9(6)

6+54

60

Answer: 1560

Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].

To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.

The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.

The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.

Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.

The value of the side x is equal to 64.77 the to two decimal place using the trigonometric ratios of tangent.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

tan 63° = x/33 {opposite/adjacent}

x = 33 × tan 63° {cross multiplication}

x = 64.7661

Therefore, the value of the side x is equal to 64.77 the to two decimal place using the trigonometric ratios of tangent.

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Answer:

A , B and C

Step-by-step explanation:

evaluate the expressions following the order of operations as set out in PEMDAS

initial expression

note that • indicates multiplication

3 (2 + 6) + 4 × 5 ← evaluate parenthesis

= 3(8) + 20 = 24 + 20 = 44

A

5 × 4 + 3 × (6 + 2) ← evaluate parenthesis

= 5 × 4 + 3 × 8 ← perform multiplication

= 20 + 24 ← perform addition

= 44

B

(6 + 2) × 3 + 4 × 5 ← evaluate parenthesis

= 8 × 3 + 4 × 5 ← perform multiplication

= 24 + 20 ← perform addition

= 44

C

3 × 2 + 3 × 6 + 4 × 5 ← perform multiplications

= 6 + 18 + 20 ← perform addition

= 44

D

3 × 2 + (6 + 4) × 5 ← evaluate parenthesis

= 3 × 2 + 10 × 5 ← perform multiplication

= 6 + 50 ← perform addition

= 56

the expressions equivalent to the initial expression are A , B and C

The solution is,  the original number in the work force is 190.76.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is  x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is,  the original number in the work force is 190.76.

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Answer:

5

Step-by-step explanation:

Answer:

Each student would get 25 sheets of paper.

Step-by-step explanation:

Mr. Perez starts out with 500 sheet.  He puts 1/4 in the printer.  That leaves 3/4 that he did not put in the printer.

3/4 x 500 = 375.

He take 2/3 of the 375 sheets and stores them.  This leaves 1/3 of 375 sheet to hand out to students.

1/3 x 375 = 125

He has 125 sheets to share among 25 students.

125/5 = 25

Answer:

f(3) = 12

Step-by-step explanation:

f(3) = (3 x 2) + 24 - 12

     = 6 + 24 - 12

f(3) = 12

If this helps you, please give brainliest!

Answer:

Step-by-step explanation:

f(x) = \(x^{2}\) + 24 - 12

substitute 3 inplace of x

f(3) = \(3^{2}\) + 24 - 12

=9 + 24 - 12

21

If the question is f(x) = x2 + 24 - 12     {x*2 + 24 - 12}

now substitute 3 in place of x

f(3) = 3*2 + 24 - 12

=6 + 24 - 12

18

Answer:

Step-by-step explanation:

we can use the data points to write a system of equations to solve for the values of a and b in the general exponential function of the form f(x) = a(b)^x.

Using the data points, we get:

f(-1) = 1/3 = a(b)^(-1)

f(0) = 1/2 = a(b)^0 = a

f(1) = 3/4 = a(b)^1 = ab

Solving for a and b, we get:

a = 1/2

b = 3/4a = 3/4(1/2) = 3/8

Therefore, the exponential function that matches the given data points is:

f(x) = (3/8)^x + 1/2

Now we can evaluate the statements:

   The base of the exponential function is 3/8. (True)

   The function is decreasing. (False - since the base is between 0 and 1, the function is actually increasing)

   The y-intercept of the function is (0, 1/2). (True)

   The function passes through the point (2, 9/16). (False - the function is only defined for x = -1, 0, 1)

   The function is concave up. (True)

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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The graph of \(f(x) = 2(3)^x\) has an initial value of 2, and a rate is 3

The equation of the graph is given as:

\(f(x) = 2(3)^x\)

The above equation is an exponential function.

An exponential function is represented as:

\(f(x) =ab^x\)

Where:

So, the initial value of \(f(x) = 2(3)^x\) is 2, and the rate is 3

See attachment for the graph of the exponential function

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Answer: beluga JR :)

Step-by-step explanation: He left to get milk

Answer:

Free pts ez

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6x = x + 20

Subtract x from both sides

5x = 20

Divide by 5 on both sides

x = 4

Confirm

4 times 6 equals 24, and 4 + 20 is 24 as well.

Answer:

(19-3)*5 = 80

Step-by-step explanation:

(19-3)*5 = 80

Parentheses first

16*5 = 80

80

Answer: (19 - 3) * 5 = 80

Check to see if this is right.

(19 - 3) * 5 = 80

16 * 5 = 80

80 = 80

Best of Luck!

Answer: B

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Vertical angles are congruent so:

7x=8x-12

Subtract 7x from both sides:

0=8x-12

Add 12 to both sides:

8x=12

Divide both sides by 8:

x=1.5 or

x= 3/2

The country has approximately 3 cellular phones per person.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

In other words it compares 1 unit of some quantity with different amount of another quantity.

Given that a country has approximately 2,900 cellular phones per 1,000 people.

Number of cell phones for 1000 people = 2900

Number of cell phones for 1 person = 2900 / 1000 = 2.9 ≈ 3

Hence there are approximately 3 cellular phones per person.

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The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

Answer:

C. 11.33

Step-by-step explanation:

7•3=21

21 height of blue square

width of blue square÷3= width of red square

34/3= 11.33

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

yes

Step-by-step explanation:

because x=3 in both scenarios

Answer:

360 i believe is the answer