A utility pole is supported by two wires, one on each side, going in the opposite direction. The two wires form a 75-degree angle at the utility pole. if the wires are 12 meters and 16 meters long and secured to the ground, find the distance between the wires on the ground.


(Cosines problem)

Answer: D

Step-by-step explanation:

Total tickets sold is $779

Calculate the options to get the right answer.

Option D is correct at

81 students at $4 = 324

65 adults at $7= 455

Total is $ 779

Answer:

a) $10

b) 0.1 hours

Step-by-step explanation:

The total amount earned by Cary,E after working h hours is calculated using:

[tex]E=10h[/tex]

The dollars Cary earns per hour is the unit rate, which is $10

If Cary earns $10 per hour, then she earns

$1 in

[tex] \frac{1}{10} hours = 6mins[/tex]

Carry has to work for 0.1 hours to earn $1

Answer:a

Step-by-step explanation:

The maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card is $50.

Two or more expressions with an Equal sign is called as Equation.

According to the Fair Credit Billing Act (FCBA) in the United States, a consumer's liability for unauthorized charges on a credit card is limited to $50.

Amelia will be responsible for paying the first $50 of the fraudulent charges, but she will not be held responsible for any charges above that amount.

However, most credit card companies have a zero liability policy, which means that the consumer will not be responsible for any unauthorized charges made on their credit card.

Hence, the maximum amount that Amelia may have to pay back for the fraudulent charges of $1,600 made on her card is $50.

To learn more on Equation:

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2}{8}=\dfrac{2\div2}{8\div2}=\boxed{\bf{\dfrac{1}{4}}}}}[/tex]

[tex]\mathsf{Rewrite\ \dfrac{1}{4}\ as\ ratio\ and\ that\ will\ be\ your\ answer!}[/tex]

[tex]\mathsf{\dfrac{1}{4}=\bf{1:4}}[/tex]

[tex]\boxed{\boxed{\bf{Your\ answer: \boxed{\huge\text{\bf{1:4}}}}}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

y=(x^2 -1)(x^2 +1)(x^2 -4)(x^2 -5)(x +5)(x -4)

sry, but i didn't want to multiply it out. T-T

Answer:

Answer is option c) 118 degrees

Step-by-step explanation:

[tex]the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.[/tex]

If you have any doubts see the image. or write in comments box.

HAVE A NICE DAY !

Answer:

1/(810pi) cm/s

Step-by-step explanation:

V = pi×r²×h = pi×90²×h = 8100pi×h

dh/dt = dh/dV × dV/dt

dV/dh = 8100pi

dV/dt = 10

dh/dt = (1/8100pi) × 10

= 1/(810pi) cm/s

Answer:

can you reupload the photo? so I can help.

Step-by-step explanation:

Answer:

Note that for graph, Y = mx + c, where m = slope of graph and c = y-intersect

1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4         ∴ m = -3/4 ,  c = 4

2) equation of line: y = [tex]\frac{3}{2} x[/tex] + 3              m = 3/2 ,   c = 3

3) equation of line: y = [tex]-\frac{2}{5} x[/tex] - 2            m = -2/5 ,  c = -2

4) equation of line: y = [tex]\frac{1}{2} x[/tex] + 3              m = 1/2 ,     c = 3

5) equation of line: y = -x + 2               m = -1 ,       c = 2

6) equation of line: y = [tex]-\frac{5}{2} x[/tex] - 1             m = -5/2 ,   c = -1

Step-by-step explanation:

For each of the line equations, "m" is the slope which is also dy/dx. Also the intersect "c" is on the y axis(Vertical line).

For each equation, assume a number for 'x' then solve for y.... you will be able to get coordinates (x,y) for each graph.

Using 1) as example:

1) equation of line: y = [tex]-\frac{3}{4} x[/tex] + 4         ∴ m = -3/4 ,  c = 4

at intersection 'c', y = 4, when x = 0

∴ y = -3/4 (1) + 4  = [tex]3\frac{1}{4}[/tex]

repeat for x = 2, 3, 4, 5, 6

Do same for equation line 2, 3, 4, 5, 6 to get coordinates to plot each graph

Answer:

1. A

2. 128°

3. 112°

4. 20°

5. 125°

6. 35°

7. 158°

8. 140°

9. B

10. C

Answer:

12.50

Step-by-step explanation:

The expected amount is $12.50.

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

There are 8 possibilities, if coin is flipped three times.

HHH, HHT, HTH, TTH, HTT, THT and TTH,

where H is possibility of head and T is tail.

Now the probabilities,

0 tails: 1 way out of 8 total: P(0) = 1/8

1 tails: 3 ways out of 8 total: P(1) = 3/8

2 tails: 3 ways out of 8 total: P(2) = 3/8

3 tails: 1 way out of 8 total: P(3) = 1/8

The expected amount;

(1/8)X 0 + (3/8)X 5 +(3/8)X15 +(1/8)X40

= 15/8 + 45/8 + 40/8

= 100/8

= 12.50

Therefore, the expected amount is $12.50.

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Answer:

Step-by-step explanation:

Given that Jared made [tex]12\frac{3}{4}[/tex] cups of snack mix for a party.

Let x be the cups of snacks mix made by Jared.

Therefore  [tex]x=12\frac{3}{4}[/tex]

His guests eat [tex]\frac{2}{3}[/tex] of the mix.

Let y be the guest eated snacks mix

Therefore [tex]y=\frac{2}{3}[/tex]

Let z be the number of snacks did Jared's guest eat

Therefore z=x-y

[tex]z=12\frac{3}{4}-\frac{2}{3}[/tex]

[tex]=\frac{51}{4}-\frac{2}{3}[/tex]

[tex]=\frac{51(3)-2(4)}{4\times 3}[/tex]

[tex]=\frac{153-8}{12}[/tex]

[tex]=\frac{145}{12}[/tex]

[tex]=12\frac{1}{12}[/tex]

Therefore [tex]z=12\frac{1}{12}[/tex]

Answer:

  $1020

Step-by-step explanation:

Let x and y represent the numbers of Platter A and Platter B the organizer needs to purchase, respectively. The given conditions can be summarized as ...

  x + 2y ≥ 80 . . . . . . 80 or more hamburgers are required

  3x + y ≥ 95 . . . . . . 95 or more hot dogs are required

  5x +8y ≥ 380 . . . . 380 or more chicken wings are required

  16x +20y = c . . . . . c must be minimized

__

It is useful to graph these inequalities, and look for the vertex of the feasible region that is closest to the origin. That vertex is (x, y) = (20, 35). The other vertex that is close to the origin is (60, 10). The cost of that order would be $1310.

The value of an order of 20 Platter A and 35 Platter B is ...

  20×$16 +35×$20 = $320 +700 = $1020

The minimum cost of the picnic food is $1020.

Answer:

the answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The value of x is 10.

Solution:

Given triangle is a right triangle.

θ = 50°, adjacent side = 6, hypotenuse = x

The value of cos 50° = 0.6

Using trigonometric ratio formulas,

[tex]$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}[/tex]

[tex]$\cos50^\circ=\frac{6}{x}[/tex]

[tex]$0.6=\frac{6}{x}[/tex]

Do cross multiplication, we get

[tex]x\times 0.6=6[/tex]

Divide by 0.6 on both sides, we get

[tex]$\frac{x\times 0.6}{0.6}=\frac{6}{0.6}[/tex]

x = 10

The value of x is 10.

The measure of angle E is 75°.

Solution:

Given data:

∠E = 5x, ∠F = 7x – 13 and ∠R = –2 + 6x

A quadrilateral inscribed in a circle is called cyclic quadrilateral.

∠R and ∠G are opposite angles in a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles are supplementary.

⇒ m∠R + m∠F = 180

⇒ –2 + 6x + 7x – 13 = 180

⇒ 13x – 15 = 180

Add 15 from both sides of the equation, we get

⇒ 13x = 195

Divide by 13 from both sides of the equation, we get

⇒ x = 15

To find the measure of angle E:

m∠E = 5x

m∠E = 5(15)

m∠E = 75

The measure of angle E is 75°.

Answer:

$.18 per kilowatt hour

Step-by-step explanation:

To find the rate per kilowatt hour

Take the price and divide by the kilowatt hours

218.85/1214

.180271829

Since this is money,we round to the nearest cent

$.18 per kilowatt hour

Answer:

A x=3.1

Step-by-step explanation:

1/2(4x+6)=-5x+24.7

Multiply each side by 2 to get rid of the fraction

2*1/2(4x+6)=2(-5x+24.7)

4x+6 = -10x +49.4

Add 10x to each side

4x+6+10x=-10x+10x+49.4

14x +6 = 49.4

Subtract 6 from each side

14x+6-6 = 49.4-6

14x = 43.4

Divide each side by 14

14x/14 = 43.4/14

x = 3.1

C) $12,000

4/5 = 9600

÷4

1/5 = 2400

4/5 + 1/5 = 5/5 = the whole price

9600 + 2400 = 12000

=$12,000

Final answer:

To find the number of ways to form a committee of 9 women and 4 men from a group of 13 women and 8 men, calculate the combinations separately for women and men, and multiply them together. The answer is 50,050 ways. So the correct option is A.

Explanation:

The question involves calculating the number of ways to choose a committee consisting of 9 women from a group of 13 women, and 4 men from a group of 8 men. This is a problem that requires knowledge of combinations, a concept in probability and statistics.

Step-by-step solution:

Now, using the combination formula:

After calculating, we find that the number of ways to form the committee is 50,050, which corresponds to option (A).

Answer:

90-30=60

Step-by-step explanation:

Was

Answer:

hypotenuse is 6 square root of 3 and short leg is 3 square root of 3

Step-by-step explanation:

Answer:

7^6

and

7⋅7⋅7⋅7⋅7⋅7/1

Step-by-step explanation:

Hope this helps! It would be better for me to see the selections though.

Answer:

A - 7^8/7^2
C - (7^2)^3

Step-by-step explanation:

So there's a question exactly like this on khan, so here's the khan answer
Don't worry I tested it

It takes 2 seconds to reach a maximum height of 69 feet, and the range is [5, 69].

The equation is of the form

h(t) = -16t² + v₀t + h₀, where -16 is the gravitational constant, v₀ is the initial velocity, and h₀ is the initial height.  Using the values from our problem, we have:

h(t) = -16t² + 64t + 5

To find the maximum height, we find the vertex.  The first step in this is to find the axis of symmetry, which is given by -b/2a:

-64/2(-16) = -64/-32 = 2

This is our value for t, so it takes 2 seconds to reach the maximum.  Substituting this into our function, we have

h(2) = -16(2²) + 64(2) + 5 = -64 + 128 + 5 = 64 + 5 = 69

This is the maximum height.

The range of heights goes from 5 to 69, inclusive, or [5, 69].  

The T-Shirt reaches its maximum height of 104 feet at 2.5 seconds. The range of the height over time is from 4 feet to 104 feet.

To analyze the projectile motion of the T-Shirt, we'll use the kinematic equations. The height h(t) at any time t can be modeled by the equation:

h(t) = -16t2 + v0t + h0

where:

1. Time to reach maximum height:

To find the time to reach maximum height, we use the formula for the time at which the velocity becomes zero:

t = v0 / g

t = 80 ft/s / 32 ft/s2 = 2.5 s

2. Maximum height:

Now, substituting t = 2.5 s into the height equation, we get:

h(2.5) = -16(2.5)2 + 80(2.5) + 4

h(2.5) = -100 + 200 + 4 = 104 feet

3. Range of the height function:

The T-Shirt starts at 4 feet, reaches a maximum of 104 feet, and is caught at 35 feet. Hence, the range of the height function is [4, 104] feet.

Answer:

f(-3) = g(-3)

Step-by-step explanation:

Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).

In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.

First option for example: f(-3) = g(4)

Value of "y" for f(x) when x = -3:

On the blue line, when x = -3, y = -4.

Value of "y" for g(x) when x = 4:

On the red line, when x = 4, y = -3.

Therefore:

f(-3) = g(4)

-4 = -3          <= This is false.

In the third option: f(-3) = g(-3)

On f(x) blue, when x = -3: y = -4

On g(x) red, when x = -3: y = -4

Therefore:

f(-3) = g(-3)

-4 = -4                <= This is true.

Answer:C

Step-by-step explanation:

The expression that shows the temperature in °C is [tex]-3.5+2.5+(-0.25)+(-3.25)[/tex].

Step-by-step explanation:

Step 1:

The initial temperature at 6.00 am was [tex]-3.5[/tex] °C.

Step 2:

From 6.00 to 7.00 am, the temperature increased by another 2.5°C, so the temperature at 7.00 am was [tex](-3.5 + 2.5)[/tex] °C.

Step 3:

From 7.00 to 8.00 a.m, the temperature decreased by another 0.25°C, so the temperature at 8.00 am was [tex](-3.5+2.5+(-0.25))[/tex] °C.

Step 4:

From 8.00 to 11.00 a.m, the temperature dropped by another 3.25 °C, so the temperature at 11.00 am was [tex](-3.5+2.5+(-0.25)+-(3.25))[/tex] °C which is represented by the fourth option.

Answer:

A i did did question on think through math think it is the answer

Step-by-step explanation:

The equation of the line is [tex]y=\frac{-1}{5} x-\frac{21}{5}[/tex].

Solution:

The points on the line are (–6, –3) and (4, –5).

 [tex]x_{1}=-6, y_{1}=-3, x_{2}=4, y_{2}=-5[/tex]

Slope of the line:

 [tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

 [tex]$m=\frac{-5-(-3)}{4-(-6)}[/tex]

 [tex]$m=\frac{-5+3}{4+6}[/tex]

[tex]$m=\frac{-2}{10}[/tex]

[tex]$m=\frac{-1}{5}[/tex]

Point-slope formula:

 [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

 [tex]$y-(-3)=\frac{-1}{5}(x-(-6))[/tex]

 [tex]$y+3=\frac{-1}{5}(x+6)[/tex]

 [tex]$y+3=\frac{-1}{5} x-\frac{6}{5}[/tex]

Subtract 3 from both sides of the equation.

[tex]$y=\frac{-1}{5} x-\frac{21}{5}[/tex]

The equation of the line is  [tex]y=\frac{-1}{5} x-\frac{21}{5}[/tex].

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

Compound interest is calculated by Where: A = P(1 + r)t

Where P= 300, r= 12% = 0.12, t= 1.5 years

Slot in the figures

300 (1 + 0.12) 1.5

300 (1.12) 1.5

300x 1.12

336e1.12

A = $ 358.84

Answer:

D. 12:11pm

(10:05am + 3hrs 6mins = 1:11pm - 1hr = 12:11pm)

Final answer:

After accounting for the flight duration of 3 hours and 6 minutes and the one-hour time difference due to the Central Standard Time Zone, Doris will arrive in Houston at 12:11 p.m. local time.

Explanation:

Doris is taking a flight from New York to Houston, and we need to calculate the local time of her arrival in Houston after a 3-hour-6-minute flight. To find the answer, we must account for the time zone difference and the duration of her flight. New York is in the Eastern Standard Time Zone, while Houston is in the Central Standard Time Zone, which is one hour behind New York.

Starting from a departure time of 10:05 a.m. in New York, we first add the flight duration which is 3 hours and 6 minutes. This gets us to 1:11 p.m. New York time. Since Houston is one hour behind New York, we subtract one hour from this time to get the local time in Houston, which will be 12:11 p.m.

The correct answer is D. 12:11 p.m. This is the time Doris will arrive in Houston, local time.

Answer:

cost of one brownie is $1.60

Step-by-step explanation:

$80 from selling 50 brownies

we can create a ratio

80     :    50

x       :      1

we can use cross multiplication to solve this:

80 = 50x

80/50 = x

x = $1.60