There are 49 female performers in a dance recital. The ratio of men to women is 5:7. How many men are in the dance recital?

Answer:

x = 25

Step-by-step explanation:

2(3x - 4) = 5x + 17

6x - 8 = 5x + 17

x - 8 = 17

x = 25

Answer:

what is the equation?

Step-by-step explanation:

For each of these problems, remember SOH-CAH-TOA.

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.

6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.

7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.

8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.

Hope this helps!

Answer:

3/3

Step-by-step explanation:

x2 minus x1 over y2 minus y1

Answer: The answer is -1!

Answer:

Part A:

m∠VHT = 152°

Part B:

m∠QTS = 152°

Part C:

m∠ZHQ = 28°.

Step-by-step explanation:

Part A:

The given parameters are;

m∠HXU = 113°

Segment BQ and segment UD intersect at m∠XAT = 95°

We have that m∠HXU + m∠HXS = 180° (Angles on a straight line)

Therefore;

m∠HXU  = 180° - m∠HXS = 180° - 113° = 67°

m∠HXU = 67°

m∠XAT + m∠XAH = 180° (Angles on a straight line)

m∠XAH  = 180° - m∠XAT = 180° - 95° = 85°

m∠XAH = 85°

In triangle XAH, we have;

m∠XAH + m∠HXU + m∠XHA = 180° (Angle sum property of a triangle)

∴ m∠XHA = 180° - (m∠XAH + m∠HXU) = 180° - (85° + 67°) = 28°

m∠XHA = 28°

m∠VHT + m∠XHA = 180° (Angles on a straight line)

m∠VHT  = 180° - m∠XHA = 180° - 28° = 152°

m∠VHT = 152°

Part B:

m∠QTS ≅ m∠VHT (Corresponding angles are congruent)

∴ m∠QTS = 152° (Substitution property)

Part C:

m∠ZHQ ≅ m∠XHA  (Reflexive property)

∴ m∠ZHQ = 28°.

Answer:

i think c if not im really sorry

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

(4)

Here d = 18, thus

C = 18π in

(5)

Here C = 50π, thus

πd = 50π ( divide both sides by π )

d = 50 in

The radius r is one half of the diameter , thus

r = 50 ÷ 2 = 25 in

Answer: The tree has to be 60 feet tall

Step-by-step explanation: Jerry’s shadow is a third of Jerry, that means the Tree’s shadow is only a third of the tree. To find the tree’s height you have to multiply the shadow by 3, 20 multiplied by 3 is 60.

Answer:

2:5

Step-by-step explanation:

beacuse ratio is 8/20 which is equal to AP/PB= 2/5

Answer:

2.5

Step-by-step explanation:

AP is 8

PB is 20 thus

AP

PB is equal to8/20 which is 2.5

Step-by-step explanation:

Quadratic Equation

Quadratic equation is in the form

ax2+bx+c=0

Where

a, b, & c = real-number constants

a & b = numerical coefficient or simply coefficients

a = coefficient of x2

b = coefficient of x

c = constant term or simply constant

a cannot be equal to zero while either b or c can be zero

Examples of Quadratic Equation

Some quadratic equation may not look like the one above. The general appearance of quadratic equation is a second degree curve so that the degree power of one variable is twice of another variable. Below are examples of equations that can be considered as quadratic.

1. 3x2+2x−8=0

2. x2−9=0

3. 2x2+5x=0

4. sin2θ−2sinθ−1=0

5. x−5x−−√+6=0

6. 10x1/3+x1/6−2=0

7. 2lnx−−−√−5lnx−−−√4−7=0

For us to see that the above examples can be treated as quadratic equation, we take example no. 6 above, 10x1/3 + x1/6 - 2 = 0. Let x1/6 = z, thus, x1/3 = z2. The equation can now be written in the form 10z2 + z - 2 = 0, which shows clearly to be quadratic equation.

Roots of a Quadratic Equation

The equation ax2 + bx + c = 0 can be factored into the form

(x−x1)(x−x2)=0

Where x1 and x2 are the roots of ax2 + bx + c = 0.

Quadratic Formula

For the quadratic equation ax2 + bx + c = 0,

x=−b±b2−4ac−−−−−−−√2a

See the derivation of quadratic formula here.

The quantity b2 - 4ac inside the radical is called discriminat.

• If b2 - 4ac = 0, the roots are real and equal.

• If b2 - 4ac > 0, the roots are real and unequal.

• If b2 - 4ac < 0, the roots are imaginary.

Sum and Product of Roots

If the roots of the quadratic equation ax2 + bx + c

= 0 are x1 and x2, then

Sum of roots

x1+x2=−ba

Product of roots

x1x2=ca

You may see the derivation of formulas for sum and product of roots here.

Answer:

the third option is correct

Step-by-step explanation:

Answer:

c = 5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

[tex]\frac{c-1}{c+2} =\frac{4}{7}[/tex]

Step 2: Solve for c

Step 3: Check

Plug in c to verify it's a solution.

[tex]\frac{5-1}{5+2} =\frac{4}{7}[/tex]

[tex]\frac{4}{7} =\frac{4}{7}[/tex]

Answer:

a)Step-by-step explanation:If we put all of it together we have the factors 3 x 5 x 5 x 5 = 375. It can also be written in exponential form as 31 x 53

b)the highest common factor of 375 is 3X5X5X5

the highest common factor of 150 is 3X5X2X5

Answer:

No

Step-by-step explanation:

Let's define our 2 terms first.

2x³y

2xy²

We see here that one term has a x³y and the other has a xy² term. Since they are not the same, the 2 terms are not like terms.

1) The square root of 8 is the least, since 3^2 equals 9, and 8 is less than 9, so its the least.

2) Then the cube root of 27, because 3 cubed is equal to 27

3) Finally, pi is the largest since it equals 3.142.

Good luck with your grades.

root 8 < pi < cube root 27

Answer:

the answer is A,D, and E

Step-by-step explanation:

i just got it right xd

Step-by-step explanation:

D. If a quadrilateral ABCD is a rhombus, then it is a square

Answer:

its the last one (if a quadrilateral ABCD is a rhombus then it is a square)

Step-by-step explanation:

if u can pls help me (go onto my page and press questions) it would mean a lot if u could help me my work is overdue by 2hours :((

Answer:

5 and 7

Step-by-step explanation:

5 and 7 are the nearest integers, and 6 is right in between them

Answer:

5 and 7.

Step-by-step explanation:

Integers are whole numbers, therefore numbers such as 5 or 6 would be an integer, but something like 3.5 or a fraction would not be an integer. Hope this helps!

Answer:

an = 10 – 4(n – 1)

Step-by-step explaination

answer is an = 10 – 4(n – 1)

Answer:

[tex]\boxed { x = -\frac{5}{2}}[/tex]

Step-by-step explanation:

To determine the value of [tex]x[/tex], write expression by using the following measurement from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve:

[tex]\angle 1 = 20 + 5x[/tex]

[tex]\angle 2 = x + 10[/tex]

[tex]20 + 5x = x + 10[/tex]

Solve for [tex]x[/tex]:

[tex]20 + 5x = x + 10[/tex]

[tex]20 + 5x - x = x - x + 10[/tex]

[tex]20 + 4x = 10[/tex]

[tex]20 - 20 + 4x = 10 - 20[/tex]

[tex]4x = -10[/tex]

[tex]\frac{4x}{4} = \frac{-10}{4}[/tex]

[tex]\boxed { x = -\frac{5}{2}}[/tex]

So, the value of [tex]x[/tex] is [tex]-\frac{5}{2}[/tex].

Answer:

3/5

Step-by-step explanation:

all you have to do is get the fraction to its lowest point and you get 3/5.

Answer:

Choice B) B \sqrt{29} 29 ​ square root of, 29, end square root = √29

Step-by-step explanation:

When given coordinates, the distance between those points(coordinates) is calculated as:

Distance = √(x2 - x1)² +(y2 - y1)²

Given(x1, y1), (x2, y2)

Fromm the question, we are given points(4,7) and (2,2)

Distance = √(x2 - x1)² +(y2 - y1)²

= √(2 - 4)² + (2 - 7)²

= √-2² + -5²

= √4 + 25

= √29

Therefore, Choice B is the answer = √29

Answer:

24 miles

Step-by-step explanation:

so he went 6 miles, then 8 miles, then diagonally home.

which means he ran in a triangle.

Use the Pythagorean theory.

6*6=36

8*8=64

36+64=100

what square root = to 100?

10

so the questions is total moles did clay run.

6+8+10=24 miles

Answer:

what class is this?

Step-by-step explanation:

Answer:

D: {-4, 0, 1, 2}

R: {-4, -3, 1}

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

I hope this helps!

Answer:

I believe its -7/5 unless they want -7/-5

Step-by-step explanation:

(4,3) (-1,-4)

X1,y1 x2,y2

And it should be

Y2-y1

X2-x1

-4-3 = -7

Over

-1-4 = -5

So -7/5 or -7/-5 whatever your teacher perfers

Hope this helps

Answer:

No

Step-by-step explanation:

Assume that it is a right triangle for now

According to the Pythagorean Theorem...

(38)^2 + (56)^2 = (69)^2

4580 ≠ 4761

Both sides are not equal, and hence the Pythagorean Theorem can't be applied to the triangle. It is not a right triangle.