The ratio of the interior angles of a triangle is 3: 3:4. What are the angle
measures

Answer:

Option 4

Step-by-step explanation:

                h = x units

   diameter = x units

                 r = (x/2) units

    \(\sf \boxed{\text{ \bf Volume of cone = $\dfrac{1}{3} \pi r^2h$}}\)

                                   \(\sf =\dfrac{1}{3}*\pi * (\dfrac{x}{2})^2*x\\\\=\dfrac{1}{3}*\pi*\dfrac{x^2}{4}*x\\\\=\dfrac{1}{12}\pi x^3\)

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.

To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.

So,

Interest = $13,000 x 0.07 x 5

Interest = $4,550

It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.

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The rational numbers are given as follows:

To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.

The conversion of each number is given as follows:

Hence they are ordered as follows:

7/15, 6/10, 5/3, 25/5.

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First, we need to find the y-intercept. For this, we need to understand that the 'y intercept' refers to the point(s) of the function in which x=0 and y have some value.

So, we set x=0 and obtain:

So, the function intercepts the y axis on (0,-5)

As for identifying the zeros of the function, this can be done by asking which are the values of x such that f(x)=0. So, if f(x)=0

And this is simply a quadratic equation, we can choose whatever method we want to solve it, one way is the next:

So, the zeros of the function are x=-5 and x=1

Finally, we need to rewrite the formula in intercept form.

This is a quadratic equation, in general, the intercept form of this kind of functions is:

Where a, b, and c are constants.

So, by finding the zeros of the function, we have already found the intercept form:

Answer:

x^2 + 3x + 9 = (x + 3)(x + 3)

When x = 2, we have:

(2 + 3) * (2 + 3)

5 * 5

25

Answer:

3.6 cubic feet

Step-by-step explanation:

The volume of the box is simply the product of the 3 sides. so \(2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3\)

The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

\(y = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

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The probability that the second ball is red is 11/25 .

IN THE EVENT OF SELECTING THE FIRST BALL

- The probability of selecting white ball is P(W) = 2/5

- Probability of selecting red ball is P(R) = 3/5

IN THE EVENT OF SELECTING THE SECOND BALL

P(R|W) = 1/2

P(R|R) = 3/5

So the probability of selecting a red ball as the second is

P(R2) = P(R|W)P(W) + P(R|R)P(R)

= (1/2)(2/5) + (2/5)(3/5)

= 1/5 + 6/25

= 11/25

The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

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Answer:

C

Step-by-step explanation:

i did the math she needs to wake up at 8:00

Answer:

= 9/8     = 1.125

Step-by-step explanation:

y = 1.125x + 2.625

or

y =  9/8 x 21/8

When x=0, y = 2.625

When y=0, x = -2.3333333333333

Answer:

256

Step-by-step explanation:

4x4x4x4=256

Answer:

256

Step-by-step explanation:

4^4

4 * 4 * 4 * 4

16 * 4 * 4

64 * 4

256

Answer:

A reflection over  x - axis

Step-by-step explanation:

If f(-x) = f (x), (ie all the signs are the same), then the function is even

also,  if f(-x) = -f (x), (ie all the signs are switched), then the function is odd.

Given;

h(x) = 12x + 49

Then test for h(-x);

h(-x) = 12(-x) + 49

h(-x) = -12x + 49,  

Thus h(-x)  ≠ h(x)  and also h(-x) ≠ -h(x)

The function is neither odd nor even.

Therefore, a reflection over  x - axis would result in a function that is neither even nor odd.

Answer:

easy 2

Step-by-step explanation:

so first you have to go to a calculator and put 0274745775 divided by 028494576 but we all know  you would get a negative but thats okay but we could just put our lucky number 2 ;) yw

Answer:

1470

Step-by-step explanation:

30 + 40 = 70

70 x 21 = 1470

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Answer:

The exponential function is

\(y = {2}^{x} \)

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)

Answer:

C. 5 inches

Step-by-step explanation:

I’m area you have to multiply L • W

But since we don’t know the width we can divide the length by the area.

40/8 = 5

So the answer would be 5.

Another way to solve this problem is with using guess and check.

I hope it helps! Have a great day!

Anygays~

Answer:

C. 5 inches

Step-by-step explanation:

Use the numbers we have in the word problem, so you´d divide 40 by 8 since you´re trying to find the width. 40 is the area and 8 is the length so divide it tofind the width.

40/8 = 5

ANSWER: 5 inches

I hope it helps! Have a great day!

The perimeter is the continuous line forming the boundary of a closed geometrical figure.i.e. sum of all the outside sides

In rectangle , there are two Height and 2 breadth

So, perimeter of rectangle = Height +Height + Breadth + Breadth

Perimeter of Rectangle = 2 Height + 2 Breadth

Perimeter of Rectangle = 2 ( Height + Breadth )

In the given question we have : Height = 12 in, Breadth =4 ft

Here the Standard Unit of Height and Breadth are different

Convert Height = 12 in into feet

1 feet = 12 inch

So, 12 in = 1 ft

Height = 12in = 1 ft

Thus, we have now : Height = 1 ft, Breadth =4 ft

Substitute the value in expression of perimeter :

Perimeter of Rectangle = 2 ( Height + Breadth )

Perimeter of Rectangle = 2 ( 1 + 4 )

Perimeter of Rectangle = 2 ( 5 )

Perimeter of Rectangle = 10 ft

Answer : Perimeter of Rectangle is 10 ft

Formula of Perimeter is 2 ( Height + Breadth )

Answer:

Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys

Q2: 75/100

Answer:

GJG

Step-by-step explanation:

HGJG

Answer:

Part A)

\(86=2(x+22)\)

Part B)

\(l=26\text{ cm}\)

Step-by-step explanation:

We know that the rectangle has a length of (x+5) and a width of 12 cm.

Part A)

Remember the formula for the perimeter of a rectangle:

\(P=2(l+w)\)

We know that the perimeter is 86. Substitute that for P:

\(86=2(l+w)\)

Substitute (x+5) for the length l and 17 for w. So:

\(86=2((x+5)+17)\)

We can simplify this to acquire our equation:

\(86=2(x+22)\)

Part B)

To find the length, let's find our x first. We have the equation:

\(86=2(x+22)\)

Divide both sides by 2:

\(43=x+22\)

Now, subtract 22 from both sides. Therefore, our x is:

\(x=21\)

To find the length, remember that the length is:

\(l=x+5\)

Since we now know the value of x, substitute 21 for x:

\(l=21+5\)

Add:

\(l=26\text{ cm}\)

So, the length is 26 centimeters.

And we're done!

743₁₆ = 7 • 16² + 4 • 16¹ + 3 • 16⁰

743₁₆ = 1792 + 64 + 3

743₁₆ = 1859

Answer:

98 degrees.

Step-by-step explanation:

Add 53 and 45 to get 98 degrees. This is the exterior angle theorem, which states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Answer:

5/6

Step-by-step explanation:

We subtract 1/6 from 6/6

6/6 - 1/6

Subtract the numerators since the denominator is the same

6/6 -1/6 = 5/6

Answer:

5/6

Step-by-step explanation:

Subtract 1/6 from 6/6:

\(\frac{6}{6} -\frac{1}{6} =\frac{5}{6}\)

5/6 is 1/6 less than 6/6.