There are 56 female performers in a dance recital. The ratio of men to women is 6:7. How many men are in the dance recital?

Answer:

x ≈ 229.8

Step-by-step explanation:

using the cosine ratio in the right triangle

cos72° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{KM}[/tex] = [tex]\frac{71}{x}[/tex] ( multiply both sides by x )

x × cos72° = 71 ( divide both sides by cos72° )

x = [tex]\frac{71}{cos72}[/tex] ≈ 229.8 ( to the nearest tenth )

Answer:

The correct answer is letter D: tow the car of a homeowner who has parked in the street overnight five nights in a row.

This rule was not mentioned in the said contract. HOA specifically notified that if a person violates the rule more than three times, fines will be given to this violator.

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

did the test got it wrong but it showed the answer

Answer:

i think the profuct is joe

Step-by-step explanation:

j

o

e 1-357=1

Answer:

1) 09:30

2) 08:50

3) 10:45

4) 07:36

Step-by-step explanation:

Answer:

Y =3x/2 is the equation of the line.

Slope is 3/2

Y intercept is zero

Check the picture below atop.

we know is an equilateral triangle, meaning that all its interior angles are 60°, and thus if we run a line from the top vertex as you see there, we end up with a 30-60-90 triangle, either way there's an equation to get its height, and anyhow the altitude of it is 6√3.

As the rectangle moves up and down the triangle, with the rectangle having a width of "w" and a length of "L", the triangle that it forms above itself is a triangle, always with a base of "L" and a height of 6√3 - w.

BTW we laid the rectangle as you see on the bottom side, but laying it anywhere else it'd have ended up in the same arrangement.

well, with the bottom of the rectangle beign parallel to that of the side of the circumscribing triangle, the small upper triangle is similar to the containing triangle by AAA, and since we have similar triangles, we can say that.

[tex]\cfrac{6\sqrt{3}}{12}=\cfrac{6\sqrt{3}-w}{L}\implies \cfrac{\sqrt{3}}{2}=\cfrac{6\sqrt{3}-w}{L}\implies L\sqrt{3}=12\sqrt{3}-2w \\\\\\ L=\cfrac{12\sqrt{3}-2w}{\sqrt{3}}\implies L=12-\cfrac{2w}{\sqrt{3}}\implies L=2\left(6-\cfrac{w}{\sqrt{3}} \right) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Area of the rectangle}}{A=wL\implies A(w)=w\cdot 2\left(6-\cfrac{w}{\sqrt{3}} \right)}\implies A(w)=2\left(6w-\cfrac{w^2}{\sqrt{3}} \right)[/tex]

[tex]\cfrac{dA}{dw}=2\left(6-\cfrac{2w}{\sqrt{3}} \right)\implies \cfrac{dA}{dw}=4\left(3-\cfrac{w}{\sqrt{3}} \right) \\\\[-0.35em] ~\dotfill\\\\ 0=4\left(3-\cfrac{w}{\sqrt{3}} \right)\implies \boxed{w=3\sqrt{3}}[/tex]

hmmm the way I usually run a 1st derivative test is, by using the critical point and slicing from it just a tiny bit, like say 3√3 - 0.000000001 to check the region on the left and then 3√3 + 0.000000001 to check the region on the right.

Check the picture at the bottom, the 1st derivative test more or less gives us those values, positive on the left-side and negative on the right-side, meaning as you can see in the arrows, is a maximum at that point.

[tex]\stackrel{\textit{we know that}}{L=2\left(6-\cfrac{w}{\sqrt{3}} \right)}\implies L=2\left(6-\cfrac{3\sqrt{3}}{\sqrt{3}} \right)\implies \boxed{L=6}[/tex]

so zach starts with x

he gives abbey 8

x - 8

now he has x - 8 pretzels

he gives half of x - 8 to maddie

0.5x - 4 = how many maddie has at the end

x - 8 = 0.5x - 4

2x - 16 = x - 8

x = 8

Answer:

[tex]y=\frac{3}{5} x-3[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx+ b

m = slope

b = y-intercept

Rearrange the equation:

[tex]-20y=-12x+60[/tex]

Divide each side by -20:

[tex]\frac{-20y}{-20} =\frac{-12x}{-20} +\frac{60}{-20}[/tex]

[tex]y=\frac{3}{5} x-3[/tex]

[tex]y=\frac{3}{5} x-3[/tex] is your simplified, slope-intercept form equation.

Answer:

see below

Step-by-step explanation:

let's convert it into slope intercept form first as it will get rid of the decimals. so we must get it to follow the form of y = mx + b.  

so we must isolate the y variable:

- subtract 0.04x from both sides

- now we have 0.02y = 0.08 - 0.04x, and to follow the form this can also be 0.02y = -0.04x + 0.08

- divide both sides by 0.02

- now we have y = -2x + 4, so we know the slope is -2

now lets find the intercepts:

y intercept => set x=0

y = -2(0) + 4

y = 4

so we have (0,4)

x intercept => set y=0

0 = -2x + 4

-4 = -2x

x= 2

now we have (2,0)

graph it:

with two points (the intercepts) and the slope we can find a graph that looks like this

Answer:

your answer is D

yes, I checked

For safety reasons \theta should not be greater than 70 and with the current scenario\theta= 79.52

the ladder will not be safe at this height

\theta= 79.52

Question Parameters:

Joshua has a ladder that is 18 ft long.

He wants to lean the ladder against a vertical wall so that the top of the ladder is 17.7 ft

Generally the equation for the angle ABC is mathematically given as

Let ∠ABC = \theta

In the right angle triangle ACB,

Hence

sin ∠ABC  = AC / AB

sin \theta = 17.7 / 18

[tex]\theta = sin-1 (17.7 / 18)\\\\\theta = 79.52[/tex]

For more information on Arithmetic

https://brainly.com/question/22568180

Answer:

no

Step-by-step explanation:

theses expressions do not have the same values because they both have differant answers.

when put in a calculator: [tex]\sqrt{100-64[/tex] = 6

and [tex]\sqrt{100[/tex] - [tex]\sqrt{64[/tex] into the calculator you get =2  (the sqrt of 100= 10 and the sqrt of 64=8)     (10-8=2)

Answer:

ok so lets just talk about what each one represents

the first one represents the square root of 100-64 so

the square root of 36 is 6

the second one is the square root of 100 minus the square root of 64 so

10-8=2

the first one is 6

the second one is 2

so no

Hope This Helps!!!

Answer:

Here you go

Step-by-step explanation:

1. Equiangular triangle

2. Isosceles triangle

3. Right angle triangle

4. Scalene triangle

5. Obtuse angle triangle

6. Acute angle triangle

7. Equilateral triangle

8. corners

9. angles

10. triangle

Answer:

Step-by-step explanation:

Equiangular triangle

2. Isosceles triangle

3. Right angle triangle

4. Scalene triangle

5. Obtuse angle triangle

6. Acute angle triangle

7. Equilateral triangle

8. corners

9. angles

10. triangle

Togetherly Paige and Malia can complete the job in 2.4 hours,

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Let the amount of work be x,
Paige complete x work in 6 hours
So the unit rate of doing work of page = x / 6
Similarly,
The unit rate of doing x work of Malia = x / 4

Sum of the unit rate = x / 6 + x /4 = 5x/12
Now,
Time = work/unit rate
Time = x / [5x/12]
Time = 12/5
Time = 2.4 hours

Here, togetherly Paige and Malia can complete the job in 2.4 hours,

Learn more about the rate of change here:

https://brainly.com/question/13103052

#SPJ2

Answer:x = 6

Step-by-step explanation:

because each 1/4 is equal to 1.5 in this instance. Making 3 of these equal parts equal to 4.5, and all 4 of them equal to 6 (the denominator).

Answer:

7/16

Step-by-step explanation:

Answer:

B. x^1/8 y^8

Step-by-step explanation:

here are the steps so you understand better

Answer:

[tex]0.8\, t^{12}[/tex] (assuming that [tex]a \ge 0[/tex].)

Step-by-step explanation:

The rule [tex]a^{2} - b^{2} = (a + b)\, (a - b)[/tex] describes a way for factoring the difference between two perfect squares [tex]a^{2}[/tex] and [tex]b^{2}[/tex].

Setting [tex]a^{2} = 0.64\, t^{24}[/tex] and [tex]b^{2} = 9[/tex] would ensure that [tex](a^{2} - b^{2})[/tex] match the given expression.

Take the square root of both sides of the equality [tex]a^{2} = 0.64\, t^{24}[/tex]. Make use of the fact that for all [tex]x \ge 0[/tex], [tex]\sqrt{x} = x^{1/2}[/tex].

[tex]\displaystyle \sqrt{a^{2}} = \sqrt{0.64\, t^{24}}[/tex].

[tex]\begin{aligned} a &= \left(\sqrt{0.64}\right)\, \sqrt{t^{24}} \\ &= 0.8\, (t^{24})^{1/2}\\ &= 0.8 \, t^{24 \times (1/2)} \\ &= 0.8\, t^{12}\end{aligned}[/tex].

Answer:

25° and 97°

Step-by-step explanation:

Oblique triangle : any triangle that is not a right triangle

Use the sine rule to find one of the unknown interior angles:

[tex]\dfrac{sin(A)}{a}=\dfrac{sin(B)}{b}=\dfrac{sin(C)}{c}[/tex]

where A, B and C are the interior angles of a triangle, and a, b and c are the sides opposite to the interior angles.

[tex]\implies \dfrac{sin(58)}{12}=\dfrac{sin(B)}{6}[/tex]

[tex]\implies sin(B)=\dfrac{6sin(58)}{12}=0.4240240481...[/tex]

[tex]\implies sin(B)=25.08890446...=25 \textdegree \ \ \textsf{(nearest whole)}[/tex]

Sum of interior angles of a triangle = 180°

⇒ Missing angle = 180 - 58 - 25 = 97°

Answer:

28,370.38

Step-by-step explanation:

If accumulated but not compounded

.06 * 20,000 = 1200 per year

1200 * 6 = 7200 total interest

7200 + 20,000 = 27,200

If compounded annually

20,000 * 1.06^6 = 20,000*1.4185 = 28,370.38

just an addtion to the reply above.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=20000\left(1+\frac{0.06}{1}\right)^{1\cdot 6}\implies A=20000(1.06)^6\implies A\approx 28370.38[/tex]

Answer:

y = 2x + 4

y = 2x + 46x – 3y = -12

y = 2x + 46x – 3y = -12And

y = 2x + 46x – 3y = -12Andy = 2x

y = 2x + 46x – 3y = -12Andy = 2x-8x – 2y = 24

Step-by-step explanation:

hope it helps you

AB = AX+XB = 6+18 = 24

The ratio of AB to AX is AB/AX = 24/6 = 4

AC = AY+YC = 10+25 = 35

The ratio of AC to AY is AC/AY = 25/10 = 3.5

The results of each division are 4 and 3.5

We do not get the same result, which means that the proportion [tex]\frac{AB}{AX} = \frac{AC}{AY}[/tex] is not true. This is sufficient to prove that the triangles aren't similar. We need them to be in proportion so that we can use the SAS similarity rule.

The cost of one Gatorade is $32.95.

The total cost of both gatorade is the sum of the value of the gift card and the total cost.

Total cost of both gatorade = value of the gift card + total cost  

$25 + 40.90 = $65.90

In order to determine the cost of one gatorade, divide $65.90 by 2

The cost of one gatorade = Total cost of both gatorade / 2

$65.90 / 2 = $32.95

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

inbox I think maybe I can help

Answer:

Step-by-step explanation:

The translation rule is:

Apply this rule to the vertices:

Correct choice is D

Answer:

a. 3/10

b. 7/10

Step-by-step explanation:

a. Total number of marbles = 10

Number of red marbles = 3

Probability = Number of outcomes/ Total number of outcomes

= 3/10

b. Total number of marbles = 10

Number of red marbles = 3

Number of marbles excluding the red marbles

= 10 - 3 = 7

Probability = Number of outcomes/ Total number of outcomes

= 7/10