How do I find the value of x

Answer:

The answer is 90.

Step-by-step explanation:

Area of the path will be 90 square feet.

= (9 x 30/2) square feet = 135 square feet

= ( 30 x 12) square feet = 360 square feet

                                  = 90 square feet

Area of the path will be 90 square feet.

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Answer:

123480

Step-by-step explanation:

We have to choose:

1. 2 cellists from 8 can be chosen in

[tex]C_8^2=\dfrac{8!}{2!(8-2)!}=\dfrac{8!}{2!6!}=\dfrac{6!\cdot 7\cdot 8}{2\cdot 6!}=28[/tex]

different ways.

2. 4 violonists from 7 can be chosen in

[tex]C_7^4=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!3!}=\dfrac{4!\cdot 5\cdot 6\cdot 7}{4!\cdot 2\cdot 3}=35[/tex]

different ways.

3. 4 musicians from 9 can be chosen in

[tex]C_9^4=\dfrac{9!}{4!(9-4)!}=\dfrac{9!}{4!5!}=\dfrac{5!\cdot 6\cdot 7\cdot 8\cdot 9}{5!\cdot 2\cdot 3\cdot 4}=126[/tex]

different ways.

In total, there are [tex]28\cdot 35\cdot 126=123480[/tex] differnt ways to fill all vacancies.

Answer:

15. Radius

16. CF is parallel to AH , Option C

17. Option A , AB congruent to ST

Step-by-step explanation:

15.  The line joining the center and any point on the circumference of a circle is the radius if the circle. Here Center is O and is being joined by B which lies on circumference hence OB makes a radius.

16. In  a cuboid , all the heights are parallel to each other. Hence CF ║AH ║ BE ║ DG

Hence the right answer is option C

17. If we observe the two quadrilaterals we see that

A overlaps to S , B to T , C to U and D to V

Hence

AB is congruent to ST

Answer:

That would be sina.

Step-by-step explanation:

sin(a+b) = sinacosb + cosasinb

sin(a-b) = sinacosb -  cosasinb

Adding we get  sin(a+b) + sin(a-b) = 2sinaccosb

so sinacosb = 1/2sin(a+b) + sin(a-b)

Answer:

sina

Step-by-step explanation:

We have

          sin(a+b) = sina cosb + cosa sinb ---------------------eqn 1

           sin(a-b) = sina cosb - cosa sinb ---------------------eqn 2

eqn 1 + eqn 2

          sin(a+b) + sin(a-b) = sina cosb + cosa sinb + sina cosb - cosa sinb

          sin(a+b) + sin(a-b) = 2sina cosb

          [tex]sina\times cosb =\frac{1}{2}(sin(a+b) + sin(a-b))[/tex]

So answer is sina

Answer:

The answer is B. 12+17x

Step-by-step explanation:

Twelve more stands for +12 and the product of seventeen and a number is equal to 17*x or 17x.

Answer: OPTION B.

Step-by-step explanation:

You need to remember that a product is the result of a multiplication.

Let be the number mentioned in the problem "x", "the product of seventeen and a number" means that:

[tex](17)(x)=17x[/tex]

 Now "twelve more than the product of seventeen and a number" indicates that you need to add 12 to [tex]17x[/tex].

Therefore, you can write the phrase in the following mathematical expression:

[tex]17x+12[/tex] or  [tex]12+17x[/tex]

This matches with the option B.

Answer:

860.55 mm²

Step-by-step explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm

The statistical question that could be answered by the data is "maximum cost of toys".

The graph shown is a line graph which is a type of chart that displays data points connected by a line. It's a common way to visualize how a particular quantity changes over time or across different categories.

Line graphs makes it easy to determine statistical measures including minimum and maximum values of a category or data.

Here, the maximum cost of toys is 10 and the minimum is 5.

(x-8)^2+y^2=225 I'm not able to factor it

Answer:

Step-by-step explanation:

Itś 5n²

Answer:

[tex]\lim_{x \to 0}\ x^2 -2 = -2[/tex]

Step-by-step explanation:

We have the following limit

[tex]\lim_{x \to 0}\ x^2 -2[/tex]

To solve this limit using direct substitution to substitute the value that tends x into f(x) and simplify.

In this case x tends to zero, then we substitute x = 0 in the function and simplify

[tex]\lim_{x \to 0}\ x^2 -2= (0)^2 -2= -2[/tex]

Therefore

[tex]\lim_{x \to 0}\ x^2 -2 = -2[/tex]

When x approaches 0 then f(x) it tends to -2

3 2/3 the answer because....

11 cant fit into three so, if you divide 11%3 = 3 2/3 now let’s see, how much times can you multiply 3 into 11 only 3 times 3,6 and 9 (things) then the 2/3 is there because, if add 1 more 0.1 you get 12/3 but it’s not it’s 2/3 of the value

11/3 is already in its simplest fractional form as there are no common factors between 11 and 3. However, it can be expressed as a mixed number, which is 3 2/3 in this case.

To simplify 11/3, you must first understand what it means to simplify a fraction. Simplifying a fraction means to reduce it to its simplest form, or to a form that can no longer be reduced. However, 11/3 is a fraction that cannot be simplified any further as there are no common factors between the numerator (11) and the denominator (3). It is in its simplest form. But, if we're looking to express this as a mixed number, we would divide 11 by 3. The result is 3 with a remainder of 2. Hence, 11/3 can be expressed as the mixed number 3 2/3

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SE ( South East) is the answer I believe

A car travels in the direction of 135° its compass heading is South and East.

We have given the direction of 135°.

North 315 West East ASE South Car travels in a direction of 315.

315 = 270'+ 45".

The degree measure of an angle is determined by the amount of rotation in degrees from the initial side to the terminal side.

The angle 315" lies between south and east. Making an angle of 45 towards south and east.

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b^10 would be the correct answer :)

For this case we must indicate an expression equivalent to:

[tex](b ^ 5) ^ 2[/tex]

We have that by definition of properties of powers that is fulfilled:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

Now, we can rewrite the given expression as:

[tex](b ^ 5) ^ 2 = b ^ {5 * 2} = b ^ {10}[/tex]

ANswer:

[tex]b^{10}[/tex]

Option A

100 - 70% = 30

0.30 × p (p=45)

0.30 × 45 = 13.5

the sale price is $13.50

Answer:

the number of chocolates in the  bag is 60 in total

Step-by-step explanation:

Answer:

60 chocolates in total

Explanation:

If the ratio of caramel chocolates to chocolate truffles is 4:6 and we know there are 24 caramel chocolates, we can create a proportion.(X is the amount of chocolate truffles)

4/24=6/x

Solve for x.

144=4x

X=36

Now that we know how many of each chocolate there is, we can calculate the total by adding them together.

36+24=60 chocolates in total

Answer:

(20+2)(10+9)

Step-by-step explanation:

The area model is written as (a+b)(c+d). To write a multiplication problem into an area model, split it into numbers which add to it. Multiples of 10 are most commonly used.

For example 22*19 becomes (20+2)(10+9).

This would be linear growth because the y values are increasing, but not at an exponential rate.

2 hours and 33 minutes have passes

Answer:

The red line is g(x)

Step-by-step explanation:

* To solve this problem you must to know some fact about

  transformation

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

- A vertical stretching is the stretching of the graph away from

 the x-axis

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically

 stretched by multiplying each of its y-coordinates by k.

- A vertical compression is the squeezing of the graph toward

 the x-axis.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed

 by multiplying each of its y-coordinates by k.

• if k should be negative, the vertical stretch or compress is

 followed by a reflection across the x-axis.  

* Now lets solve the problem

- g(x) = -1/2f(x + 2)

# x + 2 ⇒ means the graph moved 2 units to the left

# -1/2 ⇒ means the graph has vertical compressed followed

 by a reflection across the x-axis, then multiply

 each y-coordinate by -1/2

- The graph of f(x) intersects x-axis at point (3 , 0)

∴ The point will be (1 , 0) on g(x)

- The graph of f(x) intersects y-axis at point (0 , -6)

∴ The point will be (-2 , 3) on g(x)

* Look to the graph

# The red line is g(x)

# The blue line is f(x)

- To check your answer

# The equation of f(x) is f(x) = 2x - 6

∵ g(x) = -1/2f(x + 2)

∴ g(x) = -1/2[2(x + 2) - 6] = -1/2[2x + 4 - 6] = -1/2[2x - 2] = -x + 1

* g(x) intersect x-axis at point (1 , 0) and y-axis at point (0 , 1)

Answer:

[tex]\boxed{\text{3.74 m}}[/tex]

Step-by-step explanation:

This is equivalent to finding the equation of a parabola from three points.

Let's call the ground-level points (-3.5, 0) and (3.5, 0).

The axis of symmetry will be the y-axis, so the vertex is at (0, 7).

Part 1. Find the equation of the parabola

The vertex form of the equation for a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

If the vertex is at (0, 7),  

h = 0 and k = 7

The equation is

y = ax² + 7

Insert the point (0, -3.5)

0 = a(0 + 3.5)² + 7

0 = a(3.5)² + 7

0 = 12.25a + 7

-7 = 12.25a

a = -0.5714

The equation in vertex form is

y = -0.5714x² + 7

Part 2. Calculate the width when y = 5

 5 = -0.5714x² + 7

-2 = -0.5714x²

x² = 2/0.5714

x² = 3.5

x = ±√3.5 = ±1.87  

So, on the graph, the coordinates of the truck at ground level are x = -1.87 and x = +1.87.

The maximum width of the load is 1.87 – (-1.87) =[tex]\boxed{\textbf{3.74 m}}[/tex]

In the diagram below, the red parabola represents the underpass, and the blue box is the truck going through it.

Answer:

[-7,5]

Step-by-step explanation:

The range is all the permitted values of y in the function. The lowest to the highest.

Looking at the function, the lowest y value is -7

and

the highest y value is 5

So we can say the range is [-7,5], the last choice

what are we using ? feet, inches, etc.

Answer:

The answer is 4

Hope this helped

Answer:

[tex]x=\frac{1}{4}y-2[/tex]

Step-by-step explanation:

x= 1 over 4y-2

Answer:

B. 1.94

Step-by-step explanation:

Give me Brainliest

Answer: 10.5

Step-by-step explanation:Find the perimeter of the figure. Use 3.14 for the pie and round your answer to one decimal.

This looks like a square with a line going from the right corner slanted down to the bottom left, but there is a half circle there so it doesnt actually touch the bottom left. on the right half of the line is 13 in.

Answer:

Answer is 5/12 :)

About 14 out of 36 or 7 out of 18 because it’s selecting three numbers 12 times and 14 of them are 0s. And 14 out of 36 simplified is 7 out of 18.

Answer:

Step-by-step explanation:

So, if we know that 25 is the area of the square, that means that each side is 5.  That also means the diameter of the circle is 5, so the radius is 2.5.  Now, we can input the radius into the circumference formula for a circle, which is 2πradius.  So, 2π2.5 which equals 5π, or about 15.71

the first choice is correct

The maximum area of the rectangle will be 242 square ft. The expression for a in terms of x will be 44 - 2x. Then the correct option is C.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

If the a, b, and x are 44 ft. Then the expression for a in terms of x will be

We know that b = x

Then we have

a + b + x = 44

   a + 2x = 44

           a = 44 - 2x

Then the area opf the rectangle will be

Area = (44 - 2x)x

Area = 44x - 2x²

For maximum area the value of  x will be 11. Then we have

Area = 44 × 11 - 2 × 11²

Area = 242 square ft

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Answer:

A on edge

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:1 3/8

Step-by-step explanation:

3 1/4 = 3 2/8

1 7/8 =1 7/8

3 2/8 = 2 10/8

1 7/8 = 1 7/8

2 10/8-1 7/8 =1 3/8

Answer: =1 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

First, Rewriting our equation with parts separated:

=3 + 1/4 − 1 − 7/8

Then, Solving the whole number parts:

3 − 1= 2

After, Solving the fraction parts

1/4−7/8=?

Find the LCD of 1/4 and 7/8 and rewrite to solve with the equivalent fractions.

LCD = 8

2/8−7/8=−5/8

Then, Combining the whole and fraction parts

2 − 5/8=1 3/8

Next, converting mixed numbers to fractions, our initial equation becomes,

134−158

Finally, doing all the work you answer is going to be :

Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

18 cm²

Step-by-step explanation:

The area labelled A is a triangle.

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 9 and h = 4 ( the same height as the rectangle ), thus

A = [tex]\frac{1}{2}[/tex] × 9 × 4 = [tex]\frac{1}{2}[/tex] × 36 = 18 cm²