What is the value of x?

Answer: I'm guessing it's acute

Step-by-step explanation:

Since all the angles are less that 90 degrees, it can't be right or obtuse. I'm gonna say acute

Answer: B $2.22

Step-by-step explanation:

2 controllers will cost

= 2 x 18.50 = 37

6% tax = 37 x 0.06 = 2.22

Answer:

B

Step-by-step explanation:

i took the test

Answer:

8

Step-by-step explanation:

because yes.

Answer: C

Step-by-step explanation:

The formula for surface area of a cylinder is A=2πrh+2πr². Since we know the radius and height, we can directly plug it into this formula to find surface area.

A=2π(9)(12)+2π(9²)

A=2π(108)+2π(81)

A=216π+162π

A=378π

A=1186.92 units²

Answer:

Step-by-step explanation:

Perimeter of the rectangle = 332m

Perimeter of a rectangle = 2(L+b)

Breadth = 75m

= 2 ( L + 75) = 332

2L + 150 = 332

2L = 332-150

L = 182/2

L= 91m

Answer: its 3

Step-by-step explanation:

Answer:   2

Step-by-step explanation: Because their are 2 squares

Answer:

A

It has two factors and the factor (5 + y) has one term.

Step-by-step explanation:

5 + y is one term because y is just 1 term

pls brainliest

Answer:

1) Length  22 and 26 have the same amount of desks that have the same length

2) Lengths 21, 23, 25, and 27 have the equal amount of tables

Step-by-step explanation:

3) There are 12 desks in total  

Explanation of Sentence 1 is that lengths 22 and 26 both have 3 tables that are its length

Explaination of Setence 2 is that lengths 21, 23, 25, and 27 all have 1 desk that is its length

Explaination of sentence 3 is that there are 12 desks that are measured.

If this helped please mark me brainliest :)  

Answer:

(x + 3)(x² – 3x + 7)

Step-by-step explanation:

To express x³ + 2x + 21 in the form of (x + 3)(px² + qx + r),

we need to divide (x³ + 2x + 21) by

(x + 3), since (x + 3) is a factor of

(x³ + 2x + 21)

See attached photo on how to divide (x³ + 2x + 21) by (x + 3).

From the attached photo,

(x³ + 2x + 21)/ (x + 3) = x² – 3x + 7

Therefore,

x³ + 2x + 21 => (x + 3)(px² + qx + r)

x³ + 2x + 21 => (x + 3)(x² – 3x + 7)

Answer:B.

Step-by-step explanation:

Answer:

[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]

Step-by-step explanation:

Given

[tex](1-cos^2 x ).(1+tan^2 x)[/tex]

Required

Solve

[tex](1-cos^2 x ).(1+tan^2 x)[/tex]

In trigonometry;

[tex]1 - cos^2x = sin^2x[/tex]

So, make substitution

[tex](1-cos^2 x ).(1+tan^2 x)[/tex] becomes

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(1+tan^2 x)[/tex]

Also; in trigonometry:

[tex]1 + tan^2x = sec^2x[/tex]

Make another substitution

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex]

Recall that [tex]secx = \frac{1}{cosx}[/tex]

So;

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex] becomes

[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(\frac{1}{cos^2 x})[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = \frac{sin^2 x }{cos^2 x}[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = (\frac{sin x }{cosx})^2[/tex]

In trigonometry;

[tex]tan x = \frac{sin x}{cos x}[/tex]

[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]

The expression cannot be further simplified

Answer:

Surface area of triangular prism is:

Surface area = 2376ft

Step-by-step explanation:

A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up

Surface Area (rectangle) = Length · Width

Surface Area (triangle) = (1/2)(Base)(Height)

Rectangular side 1:

Length = 40 ft

Width = 24 ft

Surface Area = 40 · 24

Surface Area = 960ft

Rectangular side 2:

Length = 40 ft

Width = 15 ft

Surface Area = 40 · 15

Surface Area = 600ft

Rectangular side 3:

Length = 40 ft

Width = 15 ft

Surface Area = 40 · 15

Surface Area = 600ft

Triangular side 1:

Base = 24 ft

height = 9 ft

Surface Area = (1/2)(24)(9)

Surface Area = 108ft

Triangular side 2:

Base = 24 ft

height = 9 ft

Surface Area = (1/2)(24)(9)

Surface Area = 108ft

SURFACE AREA OF TRIANGULAR PRISM:

Add all surface areas found above

Surface area = 960 + 600 + 600 + 108 + 108

Surface area = 2376ft

Answer:

Answer:

(B) Surface area of triangular prism is:

Surface area = 2376ft

Step-by-step explanation:

A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up

Surface Area (rectangle) = Length · Width

Surface Area (triangle) = (1/2)(Base)(Height)

Answer:

The correct option is;

Substitute x = 0 in the function  and solve for f(x)

Step-by-step explanation:

The zeros of a function are the values of x which produces the value of 0 when substituted in the function

It is the point where the curve or line of the function crosses the x-axis

A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,

Therefore, substituting x = 0 in the function  can't be used to find the zero's of a function

B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis

C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function

d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0

Answer: Substitute x = 0 in the function and solve for f(x).

Step-by-step explanation:

Answer:

answer b

Step-by-step explanation:

Answer b is definitely the correct one.

The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.

The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.

We have given that,

a. There is a probability that the outcome is within 1 standard deviation of the mean.

b. There is a probability that the outcome is within 2 standard deviations of the mean.

c. Standard deviations are not reliable, so the probability cannot be determined.

d. There is a probability that the outcome is within 3 standard deviations of the mean.

The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.

The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.

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Answer:

120

Step-by-step explanation:

To solve this question we would be using combination formula.

The formula for combination is given as:

C(n, r) = nCr

nCr = n!/r! ×(n - r)!

In the above question,

n = 10 men

r = 3 operators

Hence,

nCr = n!/r! × (n - r)!

10C3 = 10! /3! × (10 - 3)!

10C3 = 10!/3! × 7!

10C3 = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 /(3 × 2× 1 ) ×(7 × 6 × 5 × 4 × 3 × 2 × 1)

10C3 = 10 × 9 × 8 / 3 × 2× 1

10C3 = 720/6

10C3 = 120

Therefore, the number of groups of 3 operators that are possible is 120.

Answer:

y = (-2/125)(x - 50)² + 40

Step-by-step explanation:

The total length of the bridge is 100 meters.

Maximum height always occurs at midpoint of x.

So for x=50 meters , y = 40 meters.

As the vertex is given at the maximum height,  Vertex can be defined at the point (50,40)

We know that the general equation for vertical parabola is:

y = a(x - h)² + k

Where (h,k) = Vertex = (50,40)

Substitute in the equation:

y = a(x - 50)² + 40 ⇒ Equation (i)

We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.

Substitute any point in the above equation

Substituting (100,0) in the equation

0 = a(100 - 50)² +40

Solve the equation for a:

a = - 2/125

Substitute a in Equation (i)

y = (-2/125)(x - 50)² + 40

Answer:

None. (or B)

Step-by-step explanation:

A)  AC≅ZY

B) AZ≅

C) ∠A ≅ ∠C

D) ∠B ≅ ∠X

Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.

The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Given that, Δ ABC has been translated right to create triangle Δ XYZ

We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.

That means Δ ABC ≅ Δ XYZ Therefore, we get,

Congruent parts are;

Angles:-

∠ A ≅ ∠ X,

∠ B ≅ ∠ Y and

∠ C ≅ ∠ Z

Side:-

AB ≅ XY,

BC ≅ YZ and

AC ≅ XZ

Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ

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Answer:

|78|-|70| = 8

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.

This is the type of angle that when measured, two of the angles would sum up to 180 degrees.

The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.

Read more on supplementary angles here:

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Answer:

614

Step-by-step explanation:

Let the number be x.

50% × x = 307

0.5x = 307

x = 307/0.5

x = 614

50% of 614 is 307.

Answer:

614

Step-by-step explanation:

50% means half. So,

x ÷ 2 = 307

x = 307 × 2

x = 614

Have a blessed day!

10 L of a 25% acid solution contains 0.25 * (10 L) = 2.5 L of acid.

Adding x L of pure water dilutes the solution to a concentration of 10%, such that

(2.5 L)/(10 L + x L) = 0.10

Solve for x :

2.5 = 0.10 * (10 + x)

2.5 = 1 + 0.10x

1.5 = 0.10x

15 = x

so 15 L of pure water are needed.

Answer:

Answer:

3 < c < 13

Step-by-step explanation:

A triangle is known to have 3 sides: Side a, Side b and Side c.

For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).

To solve the above question, we would be using the Triangle Inequality Theorem.

The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.

Side a + Side b > Side c

Side a + Side c > Side b

Side b + Side c > Side a

For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,

side (a) = 5

side (b) = 8

Let's represent the third side as c

To solve for the above question,we would be having the following Inequality.

= b - a < c < b + a

= 8 - 5 < c < 8 + 5

= 3 < c < 13

Answer:

x-intercept is equal to 2 (Option 3)

Step-by-step explanation:

Slope = m = -3/2

y-intercept = b =  3

Putting in the slope-intercept form

=> y = [tex]\frac{-3}{2} x+3[/tex]

For finding x- intercept, y must be equal to 0

=> 0 = (-3/2)x+3

=> -3/2 x = -3

=> 3/2 x = 3

=> 3x = 6

Dividing both sides by 3

=> x = 2

Answer:

the third option 2

Step-by-step explanation:

Step-by-step explanation:

factor out mn ..polynomial

[tex] - 2 + 5n {}^{4} \: is \: not \: factored \: as \: it \: dosent \: hav e \: any \: rational \: roots \: \\ mn( - 2 + 5n {}^{2} n {}^{2} )[/tex]

Answer:

I believe that the answer would be $4,100

Step-by-step explanation:

5,000x0.06x3=900

5,000-900=4,100

Answer:

Step-by-step explanation:Jo's Mobile Plan:

Fixed monthly charge = £16

Monthly 150 free minutes, post that 13p (or £0.13) per minute,

Monthly 150 free texts, post that 15p (or £0.15) per text

Jo's mobile phone usage details:

170 minutes of calls

182 texts

Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts

⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15

⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15

⇒ Total Charges for Jo = 16 + 2.6 + 4.8

⇒ Total Charges for Jo = 23.4

Hence, Jo should be charged £23.4 for the month.

Answer: C

Step-by-step explanation:

In the quadrant IV, it is only a cos θ that is positive.

Given that tan θ = –8∕15

Where tan θ = opposite ÷ adjacent

Where opposite = 8 and adjacent = 15

We can find the hypothenus by using pythagorean theorem

Hypothenus = sqrt(15^2 + 8^2)

Hypothenus = sqrt(289)

Hypothenus = 17.

Sin θ = opposite ÷ hypothenus

Sin θ = 8/17

Since Sin θ is also negative in the fourth quadrant, therefore

Sin θ = - 8/17

Option C is correct.

Answer:

10 meters

Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...

The probability distribution is given below:

[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]

Answer:

C. 12.52

Step-by-step explanation:

Given the probability distribution below:

[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]

Expected Value of the random variable

=(0 X 0.33)+(1 X 0.32) +(5 X 0.24) +(10 X 0.10) + (1000 X 0.01)

=0+ 0.32+1.2+1+10

=12.52

The correct option is C.

Answer:

D

Step-by-step explanation: