Can you make a triangle with the following side lengths: 1 in, 2 in, 5 in ?

Answer:

Complementary angles

Step-by-step explanation:

Complementary angles sum to 90°, that is

x + 90 - x = 90°

Thus x and (90 - x) are complementary angles

Answer:

6<x>54 ASK YOUR TEACHER

Step-by-step explanation:

Answer:

there is an 88% chance it will land on teal, because if you do 16/18, you get 0.8 repeating. then, you multiply by 100 and get 88%

To factorise fully the expression 5x-15, we must search for the greatest common factor (GCF) that can be taken out of both terms. The expression 5x - 15 can be factorised fully by finding the greatest common factor, which is 5. So the expression factorised fully is 5(x - 3).

To factorise fully the expression 5x-15, we must search for the greatest common factor (GCF) that can be taken out of both terms.

The GCF of 5x and 15 is 5. Thus, we can pull 5 outside of the equation and divide each term by 5.

The equation becomes: 5(x - 3).

So, the expression 5x - 15 factorised fully is 5(x - 3).

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Answer:

$96.51

Step-by-step explanation:

529.57 - 126.08 = 403.49

500 - 403.49 = 96.51

The possible amount you deposit into your account by the ed of the month to avoid paying the service fee would be $96.51

Answer:

$96.51

Step-by-step explanation:

Answer:

The measure of segment AC is 36 units

Step-by-step explanation:

- The mid-point divides the segment into two equal parts in length

- B is the mid point of segment AC

- That means B divides segment AC into two equal parts in length

∴ AB = BC

∵ AC = 5x - 9

∵ AB = 2x

- The two parts AB and BC are equal in length

∴ BC = 2x

∵ AC = AB + BC

- Substitute the values of AB and BC in the expression of AC

∴ AC = 2x + 2x

∴ AC = 4x

∵ AC = 5x - 9

- Equate the two values of AC

∴ 5x - 9 = 4x

- Add 9 to both sides

∴ 5x = 4x + 9

- Subtract 4x from both sides

∴ x = 9

- Substitute the value of x in any expression of AC

∵ AC = 4x

∵ x = 9

∴ AC = 4(9) = 36

* The measure of segment AC is 36 units

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h. k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (- 6, - 1), thus

y = a(x + 6)² - 1

To find a substitute one of the roots into the equation

Using (- 3, 0), then

0 = a(- 3 +6)² - 1

0 = 9a - 1 ( add 1 to both sides )

1 = 9a ( divide both sides by 9 )

a = [tex]\frac{1}{9}[/tex], thus

y = [tex]\frac{1}{9}[/tex](x + 6)² - 1 ← in vertex form

Expand factor and simplify

y = [tex]\frac{1}{9}[/tex] (x² + 12x + 36) - 1 ← distribute

y = [tex]\frac{1}{9}[/tex] x² + [tex]\frac{4}{3}[/tex] x + 4 - 1

  = [tex]\frac{1}{9}[/tex] x² + [tex]\frac{4}{3}[/tex] x + 3 ← in standard form

Final answer:

The time to complete a load of laundry ranges from a minimum of 42 minutes to a maximum of 58 minutes, combining the shortest and longest durations for both washing and drying cycles respectively.

Explanation:

The question asks about calculating the minimum and maximum total times for completing a load of laundry, including washing and drying cycles. The minimum time for washing is 22 minutes, and the minimum time for drying is 20 minutes. Therefore, the minimum total time to complete a load of laundry is 22 + 20 = 42 minutes.

On the other end, the maximum time for washing is 28 minutes, and the maximum time for drying is 30 minutes. The maximum total time to complete a load of laundry is 28 + 30 = 58 minutes.

In conclusion, the entire process of doing laundry, including both washing and drying, takes between 42 and 58 minutes in total.

Answer:

The inverse property of addition.

Step-by-step explanation:

The number  6 is added to its inverse -6.

The property of real numbers (-6) + 6 = 0 will be Inverse property of addition. Then the correct option is D.

Any of the many numerical laws governing how values are added.

Some Addition properties are as follows:

Associative property of addition – The total is unchanged when the order of the sub-blocks is changed.

For example, (2 + 3) + 4 = 2 + (3 + 4)

Commutative property of addition – No matter how the addends are arranged, the result remains constant.

For example, 4 + 2 = 2 + 4

Identity property of addition – The integer is that summation of 0 and that value.

For example, 0 + 4 = 4

Inverse property of addition – Zero is the result of adding any integer to its inverse.

For example, a + (-a) = 4

The property of real numbers -6+6=0 will be Inverse property of addition.

Then the correct option is D.

More about the properties of the Addition link is given below.

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Answer:

The volume of the sphere is [tex]V=288\pi\ m^3[/tex]

Step-by-step explanation:

The question in English is

Calculate the volume in m^3 of the sphere in which the area of one of its maximum circles is 36pi m^2

we know that

The radius of the maximum circle in the sphere is equal to the radius of the sphere

Step 1

Find the radius of the maximum circle

The area of the circle is

[tex]A=\pi r^{2}[/tex]

we have

[tex]A=36\pi\ m^2[/tex]

substitute and solve for r

[tex]36\pi=\pi r^{2}[/tex]

Simplify

[tex]36=r^{2}[/tex]

take the square root both sides

[tex]r=6\ m[/tex]

Step 2

Find the volume of the sphere

The volume of the sphere is

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

substitute the value of r

[tex]V=\frac{4}{3}\pi (6)^{3}[/tex]

[tex]V=288\pi\ m^3[/tex]

Answer:

6(9x+5)

Step-by-step explanation:

6*9x = 54x

6*5 = 30

The expression should be 6(9x+5)

The equation is 54x + 30

A polynomial represents an expression that comprises of indeterminates and coefficients, which includes only the operations of addition, subtraction, multiplication, and a non-negative integer.

So,

= 54x + 30

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x/4 >= -8

Multiply both sides by 4.

x >= (-8)(4)

x >= -32

The value of X is greater than or equal to -32.

To solve the inequality X/4 ≥ -8, we need to isolate the variable X. Firstly, we can multiply both sides of the inequality by 4 to get rid of the denominator: X ≥ -32. This means that the value of X is greater than or equal to -32. In interval notation, we can represent this as (-32, ∞).

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Step-by-step explanation:

The measure of angle y is 62°.

I solve this by

We know: Measures of interior angles in a triangle add up to 180°.

Therefore we have the equation:

60° + 58° + y = 180°

118° + y = 180°         subtract 118° from both sides

118° - 118° + y = 180° - 118°

y = 62°

The measure of angle x is 122°.

I solve this by

Angles 58° and x are supplementary angles.

Supplementary angles add up to 180°.

Therefore we have the equation:

x + 58° = 180°            subtract 58° from both sides

x + 58° - 58° = 180° - 58°

x = 122°

Answer:

x = -1 , y = -4

Step-by-step explanation by elimination:

Solve the following system:

{8 y - 5 x = -27 | (equation 1)

7 y - 8 x = -20 | (equation 2)

Swap equation 1 with equation 2:

{-(8 x) + 7 y = -20 | (equation 1)

-(5 x) + 8 y = -27 | (equation 2)

Subtract 5/8 × (equation 1) from equation 2:

{-(8 x) + 7 y = -20 | (equation 1)

0 x+(29 y)/8 = (-29)/2 | (equation 2)

Multiply equation 2 by 8/29:

{-(8 x) + 7 y = -20 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 7 × (equation 2) from equation 1:

{-(8 x)+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by -8:

{x+0 y = -1 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer:  {x = -1 , y = -4

Answer:

81x^2 + 12x + 4

Step-by-step explanation:

This expression doesn't factor

This is an exponential growth problem.

The formula is y = a(1+r)^x

Y would be the final answer

a is the starting value

r is the percent of growth

x is the amount of time ( number of weeks)

The equation is:

y(x) = 92(1.06)^x

For 14 weeks replace x with 14:

y(14) = 92(1.06)^14 = 208 pounds.

Answer: W(n) = 92lb*1.06^n

and W(14) = 92lb*1.06^14 = 208lb

Step-by-step explanation:

We know that at the beginning the baby elephant weighs 92Lbs, and for each week it augments by a 6% (or 0.06 in decimals)

Then, at the end of the first week, the weight is:

92lb*1.06 = 97.52lb

at the end of the second week:

(92lb*1.06)*1.06 = 103.37lb

and so on, so you can see that the pattern is:

W(n) = 92lb*1.06^n

where n is the number of weeks after the birth

W(0) = 92lb

W(1) =  97.52lb

...

And we want to know the weight at the end of the 14th week, so we must find:

W(14) = 92lb*1.06^14 = 208lb

Answer:

The value of the digit 2 in the number 12,600 is 2,000

Step-by-step explanation:

we have the number 12,600

Rewrite the number in expanded form (write the number in its digits value)

[tex]12,600=10,000+2,000+600[/tex]

so

The value of the digit 1 in the number is 10,000

The value of the digit 2 in the number is 2,000

The value of the digit 6 in the number is 600

Answer:

-3

Step-by-step explanation:

-(-3) = 3

-(-6) = 6

-3 - (-6) = 3

-c - d

c = -3

-3 - d

d = -6

-3 - (-6)

=-3+6

=3

Answer:

Step-by-step explanation:

-3 - (-6) = x  (u would use Keep Change Flip [KCF] to solve)

-3 + 6 = x

3=x

so the answer is 3

Hope this helps!!

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

[tex]x\ge 2y[/tex]

2. A florist can make a grand arrangement in 18 minutes [tex]=\dfrac{3}{10}[/tex] hour, then he can make y arrangements in [tex]\dfrac{3}{10}y[/tex] hours.

A florist can make  a simple arrangement in 10 minutes [tex]=\dfrac{1}{6}[/tex] hour, so he can make x arrangements in [tex]\dfrac{1}{6}x[/tex] hours.

The florist can work only 40 hours per week, then

[tex]\dfrac{3}{10}y+\dfrac{1}{6}x\le 40[/tex]

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines [tex]x=2y[/tex] and [tex]\dfrac{3}{10}y+\dfrac{1}{6}x=40[/tex]

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

[tex]\$(10\cdot 126+25\cdot 63)=\$2,835[/tex]

To maximize profit, the florist should produce 1 grand arrangement and 2 simple arrangements. The maximum profit is $45.

To maximize profit, the florist should produce a combination of grand and simple arrangements. Let's assume the florist makes x grand arrangements and at least twice as many simple arrangements, which would be 2x or more. Given that the florist can work only a total of 40 hours per week, we can set up the following equation:

18x + 10(2x) ≤ 40

Now, we solve for x to find the number of grand arrangements.

Simplifying the equation, we have 18x + 20x ≤ 40

Combining like terms, we get 38x ≤ 40

Dividing both sides by 38, we find that x ≤ 1.05

Since we can't have a fraction of an arrangement, the florist should produce 1 grand arrangement. From the given information, we know that the florist must produce at least twice as many simple arrangements as grand arrangements. Therefore, the florist should produce at least 2 * 1 = 2 simple arrangements.

The florist's maximum profit can be calculated by multiplying the profit per arrangement by the number of corresponding arrangements.

The profit for the grand arrangement is $25, so the total grand arrangement profit is 1 * $25 = $25. The profit for the simple arrangement is $10, so the total simple arrangement profit is 2 * $10 = $20. Therefore, the maximum profit is $25 + $20 = $45.

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Answer:

-26

Step-by-step explanation:

Answer:

The length is 10 inches, and the width is 4 inches.

By creating a quadratic equation using the known facts and algebra, we can determine that the dimensions of the rectangle with an area of 40 square inches are length= 10 inches and width= 4 inches.

This problem is a classic example of using algebra to solve for unknown dimensions. Given that the area (A) of a rectangle equals its length (L) times its width (W), written as A = L x W, you can substitute the given values into this formula. You're told the length is 6 inches longer than the width, which you can denote in algebra as L = W + 6. Secondly, you're given that the area is 40 square inches. Substituting these values gives us the following equation: 40 = W(W + 6).

Solving this equation will give us the width, and substituting the width into the formula L = W + 6, gives us the length.

First, distribute the width on the right side of the equation to get 40 = W^2 + 6W. Re-arranging terms gives W^2 + 6W - 40 = 0. Factoring this quadratic equation yields (W - 4)(W + 10) = 0. Setting each factor equal to zero and solving for W gives W = 4 and W = -10. Because a width cannot be negative, the width of the rectangle is 4 inches. Substituting W = 4 into the length equation results in L = 4 + 6 = 10 inches. Hence, the dimensions of the rectangle are Length = 10 inches and Width = 4 inches.

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[tex]\text{Hello there!}\\\\\text{We're trying to find the area of the shape}\\\text{We can do this by finding the area for the different shapes, then adding}\\\text{them together}\\\\\text{We can find the area of the rectangle,} \,\,84\cdot66=5,544\\\\\text{To find the area of the half circle, we would use the equation:}\,\,A=\frac{3.14r^2}{2}\\\\\text{The radius is half of the diameter, therefore it is 33. Plug 33 in r}\\\\A=\frac{3.14(33)^2}{2}\\\\\text{Solve:}\\\\A=\frac{3.14(33)^2}{2}\\[/tex]

[tex]A=\frac{3.14(1089)}{2}\\\\A=\frac{3419.46}{2}\\\\\text{Divide by 2}\\\\A=1709.73\\\\\text{Since there's two half circles, we would add 1709.73 twice}\\\\\text{Add all the areas together}\\\\1709.73+1709.73+5,544=8963.46\\\\\large\boxed{\text{Area:}\,\,8963.46\,\,\text{m}^2}}[/tex]

let's keep in mind that we have denominators of 2, 4 and 2, and thus we can use their LCD of 4, and multiply both sides by that LCD to do away with the denominators, let's proceed,

[tex]\bf \cfrac{1}{2}n+\cfrac{3}{4}n=\cfrac{1}{2}\implies \stackrel{\textit{multipying both sides by }\stackrel{LCD}{4}}{4\left( \cfrac{1}{2}n+\cfrac{3}{4}n \right)=4\left( \cfrac{1}{2} \right)}\implies 2n+3n=2 \\\\\\ 5n=2\implies n=\cfrac{2}{5}[/tex]

Total amount of what?

$8.75 * 7.5

about $65.63

Forgive me if I'm wrong

Hope this helps!

Answer:

A

Step-by-step explanation:

Let's see...

It's a cube, so the total volume will be one length cubed or 10^3 which is 1000.

(2500 g)/(1000 cm^3) = [tex]2.5 g/cm^3[/tex]

I'm pretty sure the answer is A because it's the only one with correct scientific notation.

Answer:

there were 2 doctors. first doctor saw 89 patient. Second doctor saw the twice of first doctor. calculate how much patient did second doctor saw

Answer:

(5 + √115)/15 or (5 - √115)/15

Step-by-step explanation:

4/5x+4/3 = 2x

Multiply each term by the least common multiple of the denominators (15x)

12 + 20x = 30x²

Move all the terms to the left-hand side.

-30x² + 20x + 12 = 0

Multiply each term by -1

30x² - 20x - 12 = 0

Remove the common factor (2)

15x² - 10x - 6 = 0

Solve by using the quadratic formula

a = 15, b = -10, c = -6

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\= \frac{-(-10)\pm\sqrt{(-10)^2-4(15)(-6)}}{2(15)}\\\\= \frac{10\pm\sqrt{100 + 360}}{30}\\\\= \frac{10\pm\sqrt{460}}{30}\\\\= \frac{10\pm\sqrt{4\times115}}{30}\\\\= \frac{10\pm2\sqrt{115}}{30}\\\\= \mathbf{\frac{5\pm\sqrt{115}}{15}}[/tex]

x = (5 + √115)/15 or x = (5 - √115)/15

Answer:

The simplest form of the expression is 3² ⇒ 3rd answer

Step-by-step explanation:

- The expression is 3 power 3 multiplied by 3 power 3 over 3 power 4

∵ 3 power 3 = 3³

∵ multiplied by 3 power 3 = × 3³

∵ over 3 power 4 = ÷ [tex]3^{4}[/tex]

- Lets write all of them in one expression

∴ The expression = [tex]\frac{3^{3}*3^{3}}{3^{4}}[/tex]

- All the numbers in the expression is 3 to the power

∴ The expression have the same base 3

- Remember: if we have numbers of same base multiplied then we

 add their powers and if divided then we subtract their powers

 [tex]\frac{a^{m}*a^{n}}{a^{q}}=a^{m+n-q}[/tex]

- Lets use this rule to simplify the expression

∵ The expression = [tex]\frac{3^{3}*3^{3}}{3^{4}}[/tex]

- Use the rule of the same base above

∴ [tex]\frac{3^{3}*3^{3}}{3^{4}}[/tex] = [tex]3^{3+3-4}=3^{6-4}=3^{2}[/tex]

∴ The simplest form of the expression is 3²

Answer:

3 to the 2nd power.

Step-by-step explanation: