Can 80°, 75 and 20° form a triangle Justify
Select one:
0
a. No
b. Yes
c. None

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{68\% of 32}}{\left( \cfrac{68}{100} \right)32}\implies 21.76\)

Answer: 21.76 or 0.22

Step-by-step explanation: You put in 68% and 32 then you'll get 21.76

32=100

and .68%

32=100%(1)

68%(2)

.68/100

Then 0.22 or 21.76

The solution of the expression in scientific notation is 1.5 * 10^-2

From the question, we have the following parameters that can be used in our computation:

6.0 * 10^4 / 4.0 * 10^8

Divide 6 by 4

So, we have

6.0 * 10^4 / 4.0 * 10^8 = 1.5 * 10^4/10^8

Evaluate the final quotient

6.0 * 10^4 / 4.0 * 10^8 = 1.5 * 10^-2

Hence, the solution is 1.5 * 10^-2

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Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

Characteristic of binomial distribution Mean should be n *p n is the number of trials p is the successful outcome of the process

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The number of Suzanne jars that have 9 beads is 9.

Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all.

The number of jars that have 9 beads can be calculated as follows:

let

the number of jars that have 15 beads = x

the number of jars that have 9 beads = y

Hence,

x + y = 12

15x + 9y = 126

multiply equation(i) by 15

15x + 15y = 180

15x + 9y = 126

subtract equation(i) from equation(ii)

6y = 54

divide both sides by 6

y = 54 / 6

y = 9

Therefore,

jars with 9 beads = 9

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Answer:

Step-by-step explanation:

Let's call the number x. The statement "...2 times a number" if the number is x looks like this:

2x

"8 less than" that looks like this:

... - 8

Putting the whole thing together:

2x - 8

The polar form of the second complex number is 354.4∠53.13°.

To evaluate the first complex number, we need to convert it into polar form.
40e^500 = 40(cos(500) + j sin(500))
So, the polar form of the first complex number is 40∠500.
For the second complex number, we can simplify it as follows:
10e^-j300 + (3-24)(2+j4)(3+j5)
= 10(cos(300) - j sin(300)) + (-21)(8+14j)
= -210 - 294j + 10cos(300) - 10j sin(300)
= -210 - 294j + 5√3 - 5j/2
Using the Pythagorean theorem, we can find the magnitude of this complex number:
|10e^-j300 + (3-24)(2+j4)(3+j5)| = √(210^2 + 294^2) ≈ 354.4

To find the angle, we can use the inverse tangent function:
tan⁻¹(294/210) ≈ 53.13°
So, the polar form of the second complex number is 354.4∠53.13°.

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Do it inside ∆ABC like shown in attachment

Now

The solution for inequality 10 - 1/2x < -18 is 0 < x < 1/56.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The given inequality is -

10 - 1/2x < -18

Solve the inequality to get the value for x.

First collect all the like terms -

-1/2x < -18 + (-10)

Then use arithmetic operation of addition -

-1/2x < -28

Multiply (-1) to both the sides -

-1/2x × (-1) < -28 × (-1)

1/2x < 28

Then move the coefficient of variable to right hand side of the equation -

x < -1 / (2 × (-28))

Then use arithmetic operation of multiplication and division-

x < 1/56

Therefore, the inequality is 0 < x < 1/56.

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Answer:

24

Step-by-step explanation:

8 x 3 = 24

3 x 8 = 24

1/8 × 3/3 = 3/24

2/3 × 8/8 = 16/24

The answer is D

You have one unknown y and 2 numbers 12 and 8

We do not know his age now, then

Let his age now is y

From 8 years ago he was 12 years old

That means If we subtract 8 from his age now the answer should be 12

Then subtract 8 from his age now y to get 12

The equation is y - 8 = 12

To solve the equation add 8 to both sides, to move 8 from the left side to the right side

y - 8 + 8 = 12 + 8

y = 20

His age now is 20

Answer:

5.97

Step-by-step explanation:

Answer:

5.97

Step-by-step explanation:

5.946 = 5.94

5.97>5.94

Answer: Are we supposed to solve for y or?

Step-by-step explanation:

warning: sorry if this doesn't make sense but this all i can get out of this one

-2x + y = -9

x = 9/2 + y/2

y = -9 + 2x

------

same warning here

12x + 3y = 9

x =3/4 - y/2

y = 3 - 4x

sorry if this doesn't help but i hope it does

The statement "new int[3]{1, 2, 3};" allocates an array of three initialized integers on the heap. This statement is True.

In C++, the "new" keyword is used to dynamically allocate memory on the heap. The statement "new int[3]{1, 2, 3};" allocates an array of three integers and initializes them with the values 1, 2, and 3.
The "new int[3]" part of the statement allocates memory for three integers on the heap. The square brackets [3] indicate that an array of size 3 should be allocated. The "int" specifies the type of the elements in the array.
The "{1, 2, 3}" part of the statement initializes the elements of the array with the specified values. In this case, the array elements are initialized to 1, 2, and 3 respectively.
By using the "new" keyword with the initialization values enclosed in curly braces, the array is allocated on the heap and the elements are initialized at the same time.L
Therefore, the statement "new int[3]{1, 2, 3};" does indeed allocate an array of three initialized integers on the heap, making the statement True.

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Answer:x = 75

Step-by-step explanation:y=105 - 5 = 100 ft

z=125 ft

dz/dt=2 ft/sec

by using Pythagorean Theorem, we find x

x^2 + 100^2 = 125^2

x = 75

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The given Angles (4x + 2) and (3x + 3) are forming linear pair, so

now, let's find Angle DCB :

Answer:

For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.

Hope this helps! :D

The value of a+b must be equal to zero because lines l₁ and l₂ intersect at the origin (0, 0).

Since line l₁ has a slope of (y/x) where both x and y are positive, it implies that line l₁ passes through the point (x, y).

Similarly, line l₂ has a slope of -x/y, suggesting that it passes through the point (-y, x).

Given that lines l₁ and l₂ intersect at the origin (0, 0), we can conclude that the sum of the x-coordinates and the sum of the y-coordinates of their respective points of intersection must be zero.

Therefore, the equation is a+b = x + (-y) = 0.

Consequently, the sum of a and b must equal zero based on the understanding that lines l₁ and l₂ intersect at the origin and their respective point coordinates.

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Answer:

x=9

Step-by-step explanation:

y=4x-8 y=2x+10​

4x-8=2x+10​

2x=18

x=9

The molar quantity by the Avocado number:

\(\frac{1*10^3g}{3.95*10^{22} g} = 2.53*10^{24}\)  = 2.6 uranium atoms

The Avogadro's number, Nₐ uranium atoms have a mass of 238.03g.

We now calculate of the molar mass of uranium as 238.03⋅g⋅ mol⁻¹.

And thus moles of uranium

= 1000⋅ g / 238.03⋅g⋅mol⁻¹

= 4.20⋅mol.

And then multiply this molar quantity by the Avocado number:

4.20⋅mol × 6.022× 10²³⋅mol⁻¹

canceling out mol and mol⁻¹, we get:

= 4.20 × 6.022× 10²³

=  2.52924 ≈ 2.6 uranium atom.

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Y is a random variable on (Ω, F, P).

To show that y is a random variable on (Ω, F, P), we need to show that the pre-image of any Borel set B in R under y is an event in F. In other words, we need to show that {w : y(w) ∈ B} is in F for any Borel set B in R.

Let y be any real-valued function on Ω. Then, for any Borel set B in R,

{w : y(w) ∈ B} = y^{-1}(B),

where y^{-1}(B) denotes the pre-image of B under y. Since y is measurable, we have y^{-1}(B) ∈ F for any Borel set B in R. Therefore, y is a random variable on (Ω, F, P).

Alternatively, we can use the definition of a random variable to show that y is a random variable. Let y be any real-valued function on Ω. Then, for any Borel set B in R,

{w : y(w) ∈ B} = {w : y(w) ≤ x} ∩ {w : y(w) ≥ x},

where x is any real number such that B = (-∞, x] ∪ (x, ∞). Since y is measurable, {w : y(w) ≤ x} and {w : y(w) ≥ x} are events in F for any real number x, and hence their intersection {w : y(w) ∈ B} is also an event in F. Therefore, y is a random variable on (Ω, F, P).

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Answer:

n=1/5 or 0.2

Step-by-step explanation:

Answer: n = 1/5

Step-by-step explanation: You use the Distribution Property to get 5n - 5/10 which is just 1/2. Then, it's 5n - 1/2 = 1/2, so next you add 1/2 to both sides to get 5n only by itself. So now the problem look like this: 5n = 1. Then, to get the answer to n, divide 5 to both sides and n = 1/5.

\(\frac{5}{2}x+\frac{1}{4} +\frac{3}{4} x=\frac{1}{8} \\\\\frac{5}{2}(8)x+\frac{1}{4} (8)+\frac{3}{4}(8) x=\frac{1}{8}(8)\\20x+2+6x=1\\20x+6x=1-2\\26x=-1\\\frac{26x}{26} =\frac{-1}{26} \\x=-\frac{1}{26}\)

4845

Step-by-step explanation:

Answer:

1482

Step-by-step explanation:

2n+5

1) when n= 1

2(1)+5

= 7

2) when n=12

2(12)+5

=29

3) when n=29

2(29)+5

=63

4) when n=36

2(36)+5

=77

5) when n=216

2(216)+5

=437

6) when n=433

2(432)+5

=869

therefore, 7+29+63+77+437+869 = 1482

Answer:

bad= 109

dac= 111

Step-by-step explanation:

Step-by-step explanation:

Method 1:

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

Method 2:

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

Answer: Hence the value of (?) for the given problem is 42.9.

Verification:

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

The false statement is (D) One of the constraints is XX.

All the other statements are true based on the given scenario:

The resource constraint for the finishing department in hours is: 2X - 3X ≤ 42. This constraint ensures that the total labor hours used in the finishing department for both types of chairs (swivel and no-swivel) does not exceed 42 hours. Here, X represents the number of swivel chairs produced.

The resource constraint for the fabrication department in hours is: 7X + 8Y ≤ 180. This constraint ensures that the total labor hours used in the fabrication department for both types of chairs does not exceed 180 hours. Here, X represents the number of swivel chairs produced, and Y represents the number of no-swivel chairs produced.

The total number of constraints in this model is 5, including the resource constraints for the finishing department and the fabrication department, as well as the additional constraints mentioned in the scenario (e.g., selling at least twice as many no-swivel models as swivel models).

The objective function is to maximize Z = 100X + 130Y, where Z represents the net profit. This objective function represents the goal of maximizing the net profit based on the production of swivel and no-swivel chairs.

Therefore, the false statement is One of the constraints is XX.\

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