MATHEMATICS HIGH SCHOOL

What number divided by 12 gives an answer of 72

Answers

Answer 1

Answer:

Answer:

864

Step-by-step explanation:

Lettherequirednumber be'x'

AccordingtotheQuestion,

$x / 12 = 72$

Writethedivision asfraction

$(1)/(12) x = 72$

Multiplybothsidesof theequationby12

$(1)/(12) x \: * 12 = 72 * 12$

Calculate:

$x = 864$

Hopethis helps...

Goodluckonyourassignment...

Answer 2

Answer:

Final answer:

The number that when divided by 12 equals 72 is 864. This is found by multiplying the divisor (12) with the desired quotient (72). Therefore, the answer is 864.

Explanation:

To solve for the number that when divided by 12 gives an answer of 72, we need to leverage the standard division operation in mathematics.

To find this number, we simply multiply 12 (the divisor) by 72 (the quotient). This is the reverse of the division process, also known as multiplication.

When we perform this calculation, 12 multiplied by 72, we find the answer to be 864. Therefore, 864 is the number that when divided by 12 gives you 72.

Learn more about Division Operation here:

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Mabel measured an angle on her math worksheet with her protractor. The angle measured 39°. If she were to draw an angle which was supplementary to the angle on her worksheet, what should that new angle measure? A. 141° B. 51° C. 129°

Find the slope of the line that contains the points named. K(c + d, c - d), L(c - d, c + d)
a. -1
b. 1
c. 0

Answers

Answer:

Option A is correct .i.e., Slope is -1.

Step-by-step explanation:

Given points are K(c+d , c-d) & L(c-d , c+d)

$Slope\:of\:line=(y_2-y_1)/(x_2-x_1)$

$Slope\:of\:line\:KL=(c+d-(c-d))/(c-d-(c+d))$

$=(c+d-c+d)/(c-d-c-d)$

$=(2d)/(-2d)$

$=-1$

Therefore, Option A is correct .i.e., Slope is -1.

Hello,

Answer A

slope= (c+d-(c-d))/(c-d-(c+d))=2d/(-2d)=-1

a box with no top is constructed from a 10 inch x 12 inch piece of cardboard by cutting out congruent squares from each corner of the cardboard and then folding the resulting tabs. We determined the volume of that box (in cubic inches) is given by V(x) = 4x³ - 44x² + 120x where x denotes the length of the side of the square which is removed from each corner (in inches), 0 < x < 5. Solve the inequality V(x)≥80 analytically and interpret your answer in the context of that example.

Answers

Answer:

$To solve the inequality $V(x) \geq 80$, we'll first set up the inequality and then find the values of $x$ that satisfy it.The inequality is $4x^3 - 44x^2 + 120x \geq 80$.Let's simplify it further:$4x^3 - 44x^2 + 120x - 80 \geq 0$.Now, we need to find the values of $x$ that make this inequality true.We can start by factoring the expression:$4(x^3 - 11x^2 + 30x - 20) \geq 0$.$

$Now, let's factor the cubic polynomial inside the parentheses:$x^3 - 11x^2 + 30x - 20 = (x - 2)(x - 5)(x - 2)$.Now, the inequality becomes:$4(x - 2)(x - 5)(x - 2) \geq 0$.To determine the intervals where this inequality is satisfied, we can use a sign chart. We'll consider the values of $x$ that make each factor and the whole expression positive or negative.$

$1. $x - 2$ is positive for $x > 2$ and negative for $x < 2$.\n2. $x - 5$ is positive for $x > 5$ and negative for $x < 5$.\n3. $x - 2$ is positive for $x > 2$ and negative for $x < 2$.Now, consider the overall sign of the expression $4(x - 2)(x - 5)(x - 2)$:- Positive when all three factors are positive (i.e., $x > 5$).- Negative when exactly one factor is negative (i.e., $2 < x < 5$).- Positive when all three factors are negative (i.e., $x < 2$).$

$So, the solution to the inequality $V(x) \geq 80$ is:\[x < 2 \text{ or } 2 < x < 5.\]$

Step-by-step explanation:

In the context of the example, this means that the side length of the square removed from each corner must be less than 2 inches or between 2 and 5 inches for the volume of the box to be greater than or equal to 80 cubic inches. This helps determine the range of valid values for

x to achieve the desired volume for the box.

Final Answer:

The solution to the inequality V(x) ≥ 80 is x ≥ 3.5 inches.

Explanation:

To solve the inequality V(x) ≥ 80, we set the equation 4x³ - 44x² + 120x ≥ 80 and simplify. This simplifies to x³ - 11x² + 30x - 20 ≥ 0, which can be factored as (x - 3.5)(x - 2)(x - 2.857) ≥ 0. Since x represents the side length of the squares removed from the corners, it cannot be negative, so we focus on the values of x that make the expression on the left side of the inequality greater than or equal to zero. This leads us to the solution x ≥ 3.5 inches.

In the context of the example, when the side length of the squares removed from each corner is 3.5 inches or larger, the resulting box has a volume greater than or equal to 80 cubic inches. This means that to achieve a box with a volume of at least 80 cubic inches, you need to remove squares with sides of at least 3.5 inches.

Learn more about inequality

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Which measurement is the best estimate for the length of a bean?A : 13 mm

B : 13 cm

C : 13 m

D : 13 km

Answers

The best estimate for the length of a bean would be B: 13 cm

Answer:

13mm

Step-by-step explanation:

If i have all the angles and one side can i find the other sides

Answers

Sure, that's what solving triangles is. Trigonometry has a short menu. Basically we choose between three formulas: Law of Sines, Law of Cosines, Sum of Triangle Angles

The Law of Sines has two sides and two opposite angles; given any three we can solve for the fourth.

The Law of Cosines has three sides and one angle; again given any three we solve for the remaining one.

The Sum of Triangle Angles says all three angles add to 180 degrees, so given two we can find the third.

Here we have all the angles and one side, that's Law of Sines to get the remaining sides.

It will take five builders 62 days to complete a particular project. At this rate, how long would the project take if there were only two builders?(SHOW WORK)

Answers

Answer:

2 builder complete work = 155 days

Step-by-step explanation:

Given:

5 builder complete work = 62 days

So,

1 builder complete work = 62 days × 5

if,

2 builder complete work = [62 days × 5] / 2

2 builder complete work = 155 days

What is the arc length when θ = and the radius is 7 cm? (5 points)

Answers

What is the arc length when Θ=3 pi/5 and the radius is 7 cm?
Here are the available answers... 21pi/5 cm 12pi/5 cm 6pi/5 cm 3pi/35 cm

Given:
arc length = theta * radius
arc length = (3 pi/5)(7cm)
arc length = 21pi/5 cm Answer is the 1st option.

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