Mathematics High School

PLEASE HELP!!! PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Find CD.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

CD =

Answers

Answer 1

Answer:

[tex]CD = 7.8[/tex]

Step-by-step explanation:

Given:

Δ DBC is a right angled triangle.

[tex]\angle B = 90\°\\\\\angle C = 59\°[/tex]

BC = 4

We need to find the value of CD

Solution:

Now we know that:

[tex]cos\ \theta = \frac{adjacent \ side}{hypotenuse}[/tex]

So we can say that;

[tex]Cos \angle C =\frac{BC}{CD}[/tex]

Substituting the given values we get;

[tex]Cos\ 59 = \frac{4}{CD}\\\\\\CD = \frac{4}{Cos\ 59} = 7.766[/tex]

Rounding to nearest tenth we get;

[tex]CD = 7.8[/tex]

Hence the Value of CD is 7.8.

Related Questions

The hourly operating cost of a certain plane, which seats up to 295 passengers, is estimated to be $3,945. If an airline charges passenger a fare of $95 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x. P(x) = Specify the domain. 0 lessthanorequalto x lessthanorequalto infinity 0 lessthanorequalto x lessthanorequalto 295 0 < x < 295 295 lessthanorequalto x lessthanorequalto infinity What is the least number of passengers it must carry to make a profit? The Metropolitan Company sells its latest product at a unit price of $3. Variable costs are estimated to be 50% of the total revenue, while fixed costs amount to $6,600 per month. How many units should the company sell per month to break even, assuming that it can sell up to 5,000 units per month at the planned price? units

Answers

Answer:

42 passengers 4400 units

Step-by-step explanation:

Please refer to the picture below

The point P(21,35) is on the terminal side of an angle in standard position. What is the distance from P to the origin?

Answers

Answer:

The distance from P to origin is approximately 40.82 units.

Step-by-step explanation:

We are given the following in the data:

The point P(21,35)

We have to find the distance of point P from the origin.

Coordinates of origin: (0,0)

Distance formula:

[tex](x_1,y_1),(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Putting the values, we get,

[tex](21,35), (0,0)\\\\d = \sqrt{(0-21)^2 + (0-35)^2} = \sqrt{1666} = 7\sqrt{34} \approx 40.82\text{ units}[/tex]

The distance from P to origin is approximately 40.82 units.

having trouble with this and 3 others (part 3)

Answers

Answer:

a.) 23

b.) y=14

c.) 23

d.) -23

e.) T=8

f.) f=1/8

Step-by-step explanation:

a.) general equation is Asin((2π/T))

A is the amplitude. It's A value is 23

b.) Midline = vertical_shift = 14

c.) max = positive amplitude value = 23

d.) min = negative amplitude = -23

e.) Factor out 2π from your angular frequency to get the period.

ω = π/4 = (2π)/8 = (2π)/T

Period = 8

f.) Frequency is just the inverse of the period.

f = 1/T = 1/8

Evaluate 13−0.5w+6x13-0.5w+6x 13−0.5w+6x 13, minus, 0, point, 5, w, plus, 6, x when w=10w=10 w=10 w, equals, 10 and x=12x=\dfrac12 x= 2 1 x, equals, start fraction, 1, divided by, 2, end fraction .

Answers

Answer: 6x^13-1.5w+156x+13 is the answer to the first equation and is that another equation?

Final answer:

The expression 13 - 0.5w + 6x evaluates to 11 when substituting w=10 and x=1/2.

Explanation:

The problem is to evaluate the expression 13 - 0.5w + 6x given the values w=10 and x=1/2. Following the order of operations, we first substitute the given values into the expression.

13 - 0.5(10) + 6(1/2) = 13 - 5 + 3 = 11.

The result of the evaluated expression is 11.

An inelastic collision occurs between a large truck and smaller sedan. Calculate the final velocity of the objects and explain the direction they will be traveling with the following data from before the collision: Small sedan mass = 1300 kg initial velocity = 20 m/s Truck mass = 7100 kg Initial Velocity 15 m/s

Answers

The final velocity is 15.8 m/s in the forward direction

Step-by-step explanation:

An inelastic collision occurs when the two object after the collision stick together.

In any case, the total momentum of the system is conserved before and after the collision, in absence of external forces. Therefore, we can write:

[tex]p_i = p_f\\m u + MU = (m+M)v[/tex]

where in this problem:

m = 1300 kg is the mass of the small sedan

u = 20 m/s is the initial velocity of the small sedan

M = 7100 kg is the mass of the truck

U = 15 m/s is the initial velocity of the truck

v is the final combined velocity of the small sedan + truck

Here we have taken both the velocity of the sedan and the truck in the positive (forward) direction

Solving the equation for v, we find the final velocity:

[tex]v=\frac{mu+MU}{m+M}=\frac{(1300)(20)+(7100)(15)}{1300+7100}=15.8 m/s[/tex]

And since the sign is positive, this means that is direction is the same as the initial direction of the sedan and the truck, so forward.

Learn more about collisions:

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HELP ASAP!!! will give brainliest to best answer!!

What proportional segment lengths verify that XZ¯¯¯¯¯∥PQ¯¯¯¯¯ ?

Fill in the boxes to correctly complete the proportion.

Answers

Answer:

[tex]\frac{16}{21}=\frac{8}{10.5}[/tex]

[tex]\frac{16}{8}=\frac{21}{10.5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar then the ratio of its corresponding sides is proportional

In this problem

triangle YPQ and triangle YXZ are similar by AA Similarity Theorem

[tex]\frac{YP}{YX}=\frac{YQ}{YZ}[/tex]

substitute the given values

[tex]\frac{16}{21}=\frac{8}{10.5}[/tex]

Rewrite

[tex]\frac{16}{8}=\frac{21}{10.5}[/tex]

The boxes should be filled with [tex]\frac{16}{21} = \frac{8}{10.5}\\\\\frac{16}{8} = \frac{21}{10.5}[/tex]

The calculation is as follows:

As we know that

In the case when two figures are similar so the ratio of its corresponding sides is proportional

In this given situation

triangle YPQ and triangle YXZ are similar by AA Similarity Theorem

So,

[tex]\frac{YP}{YX} = \frac{YQ}{YZ}[/tex]

[tex]\frac{16}{21} = \frac{8}{10.5}\\\\\frac{16}{8} = \frac{21}{10.5}[/tex]

It can be any of the both.

Learn more: https://brainly.com/question/3331860?referrer=searchResults

A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Write and solve a system of equations to find the number sold of each type of mower.

Answers

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be [tex]x.[/tex]

And the number of large mower be [tex]y.[/tex]

So, total number of mowers are:

[tex]x+y=30[/tex]

[tex]x=30-y\ \ \ ....(1)[/tex]

Now, the total sales of mowers are:

[tex]249.99(x)+329.99(y)=8379.70[/tex]

Substituting the value of [tex]x[/tex] from equation (1) we get:

[tex]249.99(30-y)+329.99y=8379.70[/tex]

[tex]7499.7-249.99y+329.99y=8379.70[/tex]

[tex]7499.7+80y=8379.70[/tex]

Subtracting both sides by 7499.7 we get:

[tex]80y=880[/tex]

Dividing both sides by 80 we get:

[tex]y=11.[/tex]

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of [tex]y[/tex] in equation ( 1 ):

[tex]x=30-y\\x=30-11\\x=19.[/tex]

The number of small mower = 19.

Therefore, the number of small mowers are 19 and the large mowers are 11.

A three-phase lesson format provides a structure for students to have inquiry on a topic, engage in the content through action and discussion and time to reflect and make connections. What statement below demonstrates the Before related agendas?
A) Be sure the task is understood.
B) Let go
C) Provide extensions.
D) Identify future problems.

Answers

Answer:

A) Be sure the task is understood.

Step-by-step explanation:

The principle "Make sure the mission is understood, performed, and achieved."

Another way we talk about this principle in the Navy is through the idea of "intrusive leadership." In some respects both "micromanagement" and "intrusive leadership" sound terrible.

Think about certain great managers and leaders you have had in your career yet again. Probability are they will be the ones who asked you those difficult questions, too.

They moved everyone to new technical levels, and eye for detail. When you said you knew what you were doing or when you announced the progress of a project, they didn't necessarily take it to face value.

The US GDP (Gross Domestic Product) for 2014 was a reported 17.555 trillion dollars. The current US population is about 320 million people. Round all answers to the nearest hundredth.

Answers

Answer:

1. 1.76x10^13,

2. 3.20x10^8,

3. 5.5x10^4

Step-by-step explanation:

Answer:

Step-by-step explanation:

GDP/POPULATION

1755x10^13/3.2x10^8 = .05484x10^5

=5.484x10^4

= 5.49x10^4

X minus 12 is 30 what’s the answer

Answers

Answer:

x=42

Step-by-step explanation:

x-12=30

x=30+12

x=42

X - 12 = 30

To solve for x in this equation, we want to get x by itself on the left side of the equation. Since 12 is being subtracted from x, to get x by itself, we need to add 12 to the left side of the equation. If we add 12 to the left side, we must also add 12 to the right side.

On the left side, -12 and +12 cancel each other out so we are simply left with x. On the right side, 30 + 12 is 42 so we have x = 42.

It's important to understand that we can check our answer by substituting 42 back into the original equation.

So we have (42) - 12 = 30.

42 - 12 is 30 so we have 30 = 30 which is a true statement so our answer, x = 42, is correct.

Suppose you are choosing between two roads. The first route is 40 miles at 25 mph, and the second road is 65 miles at 55 mph. Which route would get you there faster, and in what amount of time?
The second route, in 1.6 hours
B. The first route, in 1.6 hours
C. The first route, in 1.18 hours
D. The second route, in 1.18 hours

Answers

Answer:

D. The second route, in 1.18 hours

Step-by-step explanation:

The appropriate relation is ...

time = distance/speed

The time required on the first route is ...

time1 = (40 mi)/(25 mi/h) = 40/25 h = 1.6 h

The time required on the second route is ...

time2 = (65 mi)/(55 mi/h) = 65/55 h = 1 2/11 h ≈ 1.18 h

The second route requires a shorter time, so will get you there faster. The second route will get you there in 1.18 hours.

What is the pressure difference Δp=pinside−poutside? Use 1.28 kg/m3 for the density of air. Treat the air as an ideal fluid obeying Bernoulli's equation.

Answers

This is an incomplete question, here is a complete question.

A hurricane wind blows across a 7.00 m × 12.0 m flat roof at a speed of 150 km/h.

What is the pressure difference Δp = p(inside)-p(outside)? Use 1.28 kg/m³ for the density of air. Treat the air as an ideal fluid obeying Bernoulli's equation.

Answer : The pressure difference will be, [tex]1.11\times 10^3Pa[/tex]

Step-by-step explanation :

As we are given:

Speed = 150 km/h = 41.66 m/s

Density = [tex]\rho=1.28kg/m^3[/tex]

Area = A = 7.00 m × 12.0 m

Formula used :

[tex]\Delta P=\frac{1}{2}\times \rho \times v^2[/tex]

Now put all the given values in this formula, we get:

[tex]\Delta P=\frac{1}{2}\times (1.28kg/m^3)\times (41.66m/s)^2[/tex]

[tex]\Delta P=1.11\times 10^3Pa[/tex]

Thus, the pressure difference will be, [tex]1.11\times 10^3Pa[/tex]

A pizza chain was willing to pay $1 to each person interviewed about his or her likes and dis- likes of types of pizza crust. Of the people interviewed, 200 liked thin crust, 270 liked thick crust, 70 liked both, and 50 did not like either type of crust. What was the total cost of the survey?

Answers

Answer:

Total cost of the survey = $450

Step-by-step explanation:

Given:

Cost for each person = $1

Liked thin crust = 200 people

Liked thick crust = 270 people

Both crust like = 70 people

50 people did not like either type of crust.

We need to find the total cost of the survey.

Solution:

Number of people who like thin crust or thick crust.

⇒ 200 + 270 - 70

⇒ 470 - 70

⇒ 400

So, 400 people likes thin crust OR thick crust.

And, also 50 peoples did not likes either thin crust OR thick crust.

So, we add 50 people who did not like any type of pizza.

⇒ 400 + 50

Therefore, total cost of the survey = $450

use multiplier method to increase £88 by 14%. you must show all your working out

Answers

Answer:

£100.32

Step-by-step explanation:

£88 + 14% × £88 = £88×(1 +0.14)

= 1.14×£88

= £100.32 . . . . using a calculator

£100.32 is £88 increased by 14%.

Final answer:

£100.32

Explanation:

To increase an amount by a certain percentage using the multiplier method, you can use the following steps:

Convert the percentage increase to a decimal by dividing by 100. In this case, 14% becomes 0.14.Add 1 to the decimal to get the multiplier. Here, 1 + 0.14 = 1.14.Multiply the original amount by the multiplier. So, £88 multiplied by 1.14 gives us the increased amount.

Let's do the calculation:

Step 1: Convert the percentage to a decimal. 14% / 100 = 0.14Step 2: Calculate the multiplier. 1 + 0.14 = 1.14Step 3: Multiply £88 by the multiplier. £88 x 1.14 = £100.32

x-6y +4z=-12
x+y-4z=12
2x + 2y + 5z =-15
Systems of equations with three variables and three equations

Answers

Answer:

x = 0 , y = 0 , z = -3

Step-by-step explanation:

Solve the following system:

{x - 6 y + 4 z = -12 | (equation 1)

x + y - 4 z = 12 | (equation 2)

2 x + 2 y + 5 z = -15 | (equation 3)

Swap equation 1 with equation 3: