Find the value of x. (4x + 12)° 64°​

Answer: 170

Step-by-step explanation: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.

Answer:

  f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}

Step-by-step explanation:

To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.

__

The domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.

The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.

The first piece can be written ...

  f(x) = x-3 for x ≤ -1

__

The domain is shown as 5 to ∞, with 5 not included.

The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...

  y -(-1) = -3(x -5)

  y = -3x +15 -1 = -3x +14

The second piece can be written ...

  f(x) = -3x +14 for x > 5

__

Putting these pieces together, we have ...

  [tex]\boxed{f(x)=\begin{cases}x-3&\text{for }x\le-1\\-3x+14&\text{for }5 < x\end{cases}}[/tex]

_____

Additional comment

Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, x > 5.

Answer: it’s a

Step-by-step explanation:

The reason why i said it’s a is because I did this before.

Answer:

can you clear more I don't understand

Answer:

1/x + 6 = 2/3

x is the number, so there it has to be switched if a reciprocal happens. :) hope this helps

Answer: It's A bro

Step-by-step explanation: if you get the brainly app on your phone you can take pics and use that to solve it that's what I did

Answer:

2

Step-by-step explanation:

Answer:

7+2g

Step-by-step explanation:

7 increased by means 7 +

twice Gali's height =2g

everything now becomes 7+2g

There are 40,320 ways, in which 8 books can be arranged on a shelf.

Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.

Permutations :

➲ P ( n, r )= n ! / ( n - r ) !

The number of ways to arrange 8 books on a shelf will be :

➝ P ( n, r ) = n ! / ( n - r ) !

➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !

➝ P ( n, r ) = 8 ! / 0 !

➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1

➝ P ( n, r ) = 40, 320

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~ Hence, there are 40,320 ways in which 8 books can be arranged on a shelf !

If the 3 books can't be together (but any 2 of the 3 can be) then it's 36,000 ways. If any one of the 3 books can't touch either of the other 2, it's 15,840 ways.

I'm not sure if the question is saying that all three books can't be together in a group (and so biology and history can be together, but biology, history and programming can't), or if the books in that group can't sit next to other books in the group (and so biology and history can't be together). Let's do it both ways - case 1 will be all three together and case 2 will be any 2 together.

Before we work this, let's first see the number of ways we can have all 8 books arranged. Order matters and so we can approach this using a permutation equation. Moreover, since we're using all the books, we'll end up with the total number being:

8 ! = 40 , 320 .

Answer:

15 percent of 20 is 3. so there are 3 boys and 17 girls in the class.

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Since this an isosceles triangle we can say the length of AB = AC

2x - 1 = x + 7

2x - x = 7 + 1

x = 8

The perimeter is calculated by adding all side lengths

2x - 1 + x + 7 + x - 4 = Area add like terms

4x + 2 = Area replace x with the value we found

4*8+2 = 34 units square

The growth of the town is an illustration of exponential growth function

The population of the town in 15 years is 125651

The given parameters are:

An exponential growth function is represented as:

y = a * (1 + r)^t

So, we have:

y =75000 * (1 + 3.5%)^15

Evaluate

y =125651

Hence, the population in 15 years is 125651

Read more about exponential functions at:

https://brainly.com/question/11464095

Step-by-step explanation:

Since radii of a circle are congruent, UT is congruent to WT.

Since angles opposite congruent sides in a triangle are congruent, angles UWT and WUT are congruent.

This means the measure of UTV is 180-57-57=66 degrees

Answer:

c

Step-by-step explanation:

Answer:

x = 5, x = 7

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

x² - 12x + 35 = 0 ( subtract 35 from both sides )

x² - 12x = - 35

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 35 + 36

(x - 6)² = 1 ( take the square root of both sides )

x - 6 = ± [tex]\sqrt{1}[/tex] = ± 1 ( add 6 to both sides )

x = 6 ± 1

then

x = 6 - 1 = 5

x = 6 + 1 = 7

The lateral surface area of the given cylinder of radius 10cm and height of 5cm is 314cm sq.

For a right circular cylinder of radius r and height h, the lateral surface area is the product of diameter to the height and pie.

The lateral surface area of the cylinder = 2πrh

Let assume Radius, r = 10

Height, h = 5.

The lateral surface area of the cylinder = 2πrh

       = 2 × 3.14 × 10 × 5

       =  314cm sq.

Read more about cylinders;

brainly.com/question/9554871

The water of the cylinder cannot fill the container, since the cylinder has less volume. Lastly, there is no apparent mistakes.

The rectangular container ([tex]V_{R}[/tex]), in cubic inches, is full whether its volume is equal to the volume of the cylinder ([tex]V_{C}[/tex]), in cubic inches. The volume formulae for both containers are described below:

[tex]V_{R} = w\cdot l \cdot h[/tex]   (1)

Where:

[tex]V_{C} = \pi\cdot r^{2}\cdot h[/tex]   (2)

Where:

Now we proceed to determine the volume of each figure:

[tex]V_{R} = (3.6\,in)\cdot (3.6\,in)\cdot (5.3\,in)[/tex]

[tex]V_{R} = 68.688\,in^{3}[/tex]

[tex]V_{C} = \pi\cdot (1.8\,in)^{2}\cdot (5.3\,in)[/tex]

[tex]V_{C} \approx 53.947\,in^{3}[/tex]

The volume of the water in the cylinder is approximately 53.947 cubic inches. The water of the cylinder cannot fill the container, since the cylinder has less volume. Lastly, there is no apparent mistakes. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538

Using the slope concept, it is found that the height of the drone is of about 94 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{23^\circ} = \frac{h - 5}{210}[/tex]

[tex]h - 5 = 89[/tex]

[tex]h = 94[/tex]

The height of the drone is of about 94 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

53

Step-by-step explanation:

You get the perimeter by adding up all of the sides. I added them up and got 53

Answer:

Step-by-step explanation:

The sides of the triangle in the middle are equal to x so tis is equilateral triangle.

Its interior angle is 60°.

Each shaded part is the area of 60° segment of circle with the radius x.

The area of each segment is the difference between 60° sector and the area of triangle.

Area of sector

Area of triangle

The shaded area is

[tex]3 {x}^{5} + 2 {x}^{3} + x + {x}^{2} - 2x + 5 = [/tex]

[tex]3 {x}^{5} + 2 {x}^{3} + {x}^{2} - x + 5[/tex]

Answer:

3x⁵ + 2x³ + x² -x + 5

Step-by-step explanation:

(3x⁵ + 2x³ + x) - (-x² + 2x - 5) <== multiply to remove the parenthesis

1(3x⁵ + 2x³ + x) - 1(-x² + 2x - 5)

1(3x⁵) + 1(2x³) + 1(x) + -1(-x²) + -1(2x) + -1(-5) <== remember multiplying 2 negatives, makes a positive

3x⁵ + 2x³ + x + x² - 2x + 5 <== combine any like terms

3x⁵ + 2x³ + x² -x + 5 <== make sure that your answer is in Standard form (in decreasing degrees)

Hope this helps!

Answer:

Step-by-step explanation:

Let

According to question we have equations

Find the number of students by substitution

Find the number of apples

Answer:

14 apples

Step-by-step explanation:

Let x = number of students

Let y = total number of apples

Create a system of equations with the given information.

Equation 1

If she gave each student 3 apples, she would have 2 apples left:

⇒ y - 3x = 2

Equation 2

If she gave each students 4 apples each she would be 2 short:

⇒ y - 4x = -2

Rewrite Equation 1 to make y the subject:

⇒ y = 2 + 3x

Substitute this into Equation 2 and solve for x:

⇒ (2 + 3x) - 4x = -2

⇒ 2 + 3x - 4x = -2

⇒ 2 - x = -2

⇒ -x = -4

⇒ x = 4

Substitute the found value of x into the rewritten Equation 1 and solve for y:

⇒ y = 2 + 3(4)

⇒ y = 2 + 12

⇒ y = 14

Therefore, Mrs Reyes had 14 apples.

Answer: 6 cm, 11 cm, 12 cm

Step-by-step explanation:

Answer:

2.71

Step-by-step explanation:

Using this formula: Volume= 4 over 3 * π * r cubed.
then do R=(3V4π)⅓=(3·83.54·π)⅓≈2.71144
2.71144 rounded to the nearest 10 is 2.71

Answer:

x=12

Step-by-step explanation:

The photo might help.

If anything is not understandable I'm here to help :)

Answer:

33 cm²

Step-by-step explanation:

Formula

Solving

Answer:

33 cm²

Step-by-step explanation:

Since the pyramid has a square base, the area of each of the triangular sides will be the same.

Therefore, to calculate the total surface area, find the area of one triangle, multiply it by 4, then add it to the area of the square base.

Formulae

Area of a square = x³  (where x is the side length)

Area of a triangle = 1/2 × base × height

Calculation

area of the square base = 3² = 3 × 3 = 9 cm²

area of one triangle = 1/2 × 3 × 4 = 6 cm²

Solution

Total area = area of the square base + 4 × area of one triangle

                 = 9 + (4 × 6)

                 = 9 + 24

                 = 33 cm²

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{3}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{2\sqrt{6}}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-3]^2~~ + ~~[y-(-3)]^2~~ = ~~(2\sqrt{6})^2\implies (x-3)^2+(y+3)^2=24[/tex]