Let theta be an acute angle of a right triangle. Find the values of the other five trigonometric functions of theta. Show your work.

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

Answer:

about 2 or 3

Step-by-step explanation:

heres what u do go onlie and put the books up for sale.

Answer:

The book of amber will reach the pool 6.78 seconds before the other

Step-by-step explanation:

common sense

Step-by-step explanation:

Given:

The damage to the parked car was

$4,300and the damage to the store

was

$50,400.

Objective:

The objective is to determine the

amount will the insurance company pay

for Susan's car accident.

Explanation:

Having a 100/300/50 insurance policy

means you have $100,000 in coverage

for bodily injury liability per person,

$300,000 for bodily injury liability per

accident, and $50,000 for property

damage liability.

The anmount insurance company

will pay $4,300 for car damage and

$50,000 for property damage.

So total amount that must be paid is

$50000+$4300=$54300

mark brainly

Answer:

first option

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Here k = 0.7, thus

y = 0.7x ← is the required equation

Given

\(\frac{y}{x}\) = \(\frac{7}{10}\) ( cross- multiply )

10y = 7x ( divide both sides by 10 )

y = \(\frac{7}{10}\) x = 0.7 x ← the required equation

Answer:

360 cm^2

Step-by-step explanation:

Find the area of each face of the triangular prism.

Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.

Areas of the 2 triangular bases (they are similar triangles):

1/2 x 8 cm x 6 cm = 24 cm^2

24 x 2 = 48 cm^2

Area of the rectangular face:

8 x 13 = 104 cm^2

Area of another rectangular face:

6 cm x 13 cm = 78 cm^2

Area of another rectangular face:

13 cm x 10 cm = 130 cm^2

Add up all the areas of all faces:

48 + 104 + 78 + 130 = 360

So the SA is 360 cm^2

The equation in slope-intercept form that shows the relationship is y = 10x

From the question, we have the following parameters that can be used in our computation:

Rate of beating wings = 10 times per second

The equation in slope-intercept form of the relationship is then represented as

y = Rate of beating wings * x

Where

y is the number of times

x is the wings

So, we have

y = 10 * x

Evaluate

y = 10x

Hence, the equation is y = 10x

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Answer:

10ms/2

Step-by-step explanation:

The equation for acceleration

= Final Velocity - Starting Velocity /Time

= 20 (Final Velocity) - 0 (starting velocity) /2

= 10 ms/2

To determine the concentration of the analyte in the unknown using the fit parameters and the linear model, you need to substitute the given signal value into the equation y = mx + b.

In this case, the linear model is represented by the equation y = mx + b, where:

y is the signal value (80.77 in this case),

m is the slope obtained from the regression analysis, and

b is the y-intercept obtained from the regression analysis.

You haven't provided the values of m and b, so I'll use placeholders for now.

Let's assume the slope (m) obtained from the LINEST formula is m = 2.5 and the y-intercept (b) is b = 10.

Substituting these values into the equation:

y = mx + b

80.77 = 2.5x + 10

To find the concentration (x), we can rearrange the equation:

2.5x = 80.77 - 10

2.5x = 70.77

x = 70.77 / 2.5

x ≈ 28.31

Therefore, based on the given fit parameters and the linear model, the concentration of the analyte in the unknown is approximately 28.31 ppm Co2+.

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To find the LCM:

1. List the multiples of each number:

Multiples of 14:

Multiples of 28:

2. The LCM is the smallest number that appears in the two lists above.

The dot product of u and v is -64. The distance between u and v is 16.

The dot product of two vectors u and v is calculated by multiplying the corresponding components of each vector and then summing the results. Therefore, the dot product of u and v is:

u•v = (−3)(9) + (10)(−5) + (9)(7) = −27 − 50 + 63 = −64

The distance between two vectors u and v is calculated by taking the square root of the dot product of the two vectors. Therefore, the distance between u and v is:

Distance(u,v) = √(u•v) = √(−64) = 16

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Answer:

6 people including alex

Step-by-step explanation:

1 liter = 1000 ML

3 X 1000 = 3000 ML

3000/500=6 glasses of 500 ml

:))

Answer:

2106

Step-by-step explanation:

Answer:here it is

Step-by-step explanation: X+(10%)X=150

X+(10/100)X=150

X+(1/10)X=150

X(1+(1/10))=150

X(11/10)=150

multiplying by "(10/11)" on both sides of the equation, we get

X(11/10)(10/11)=150(10/11)

X(1)=1500/11

X=1500/11

Hope this helps.

Thank you. :)

Given that x plus 10% of x is 150 (i.e x + 10%x = 150), then, the value of x in expression is 136.36

x + 10%x = 150

x + (10x / 100) = 150

x + x/10 = 150

Multiply through by 10

10x + x = 1500

11x = 1500

Divide both side by 11

x = 1500 / 11

x = 136.36

Thus, the value of x in the expression is 136.36

Complete question

X plus 10% is 150. what is the value of x?

So the original number is X. And if I add 10% to X I get 150.

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Rounding to the nearest 10th, the surface area of the cylinder is approximately 219.8 square millimeters.

To find the surface area of a cylinder, you need to add the area of the top and bottom circles to the area of the curved side.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the circular base, h is the height of the cylinder, and π (pi) is approximately equal to 3.14.

First, we need to find the radius of the circular base. The length of the cylinder is given as 10mm, which is twice the radius (since the diameter is equal to the length). So, the radius is:

r = length/2 = 10mm/2 = 5mm

The height of the cylinder is given as 2mm. Now we can substitute the values into the formula:

SA = 2πr² + 2πrh

SA = 2 x 3.14 x 5² + 2 x 3.14 x 5 x 2

SA = 157 + 62.8

SA = 219.8

Rounding to the nearest 10th, the surface area of the cylinder is approximately 219.8 square millimeters.

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If there are already 24 apartments on 4 floors, there would be a total of 30 apartments on 5 floors.

To determine the number of apartments on 5 floors if there are already 24 apartments on 4 floors, we need to find the average number of apartments per floor and then multiply it by the number of floors.

The average number of apartments per floor is found by dividing the total number of apartments by the number of floors:

Average number of apartments per floor = Total number of apartments / Number of floors

For 24 apartments on 4 floors:

Average number of apartments per floor = 24 / 4 = 6

Now that we know the average number of apartments per floor is 6, we can calculate the total number of apartments on 5 floors by multiplying the average number of apartments per floor by the number of floors:

Total number of apartments on 5 floors = Average number of apartments per floor * Number of floors

= 6 * 5

= 30

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Answer:

28/15

Step-by-step explanation:

have a wonderful day :)

Answer:

1 13/15

Step-by-step explanation:

7/10 ÷ 3/8

Copy dot flip

7/10 * 8/3

Rewrite

7/3 * 8/10

Simplify

7/3 * 4/5

Multiply

28/15

Change to a mixed number

15 goes into 28 1 time with 13 left over

1 13/15

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Answer:

68 people choose meat over pork

Step-by-step explanation:

subtract 17 from 85

The probability that he gets at least as many heads as tails is half or 50%.

Probability is obtained by dividing the number of chances that it will take to realize a result by the number of total possible chances. To get the right probability for the question asked here, we need to determine:

The number of chances is equal to 4.

The total number of possible chances is given by the equation:

4 × 2 = 8

Two is obtained by recognizing the fact that there are two sides to the coin. So, he could either get a head or a tail when he tosses the nickel.

Therefore;

4/8 = 1/2 or 50%

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The actual distance between the two cities is 10.5 miles

From the question, we have the following parameters that can be used in our computation:

Scale: 2 inches = 7 miles

Given that

Map distance = 3 inches

using the above as a guide, we have the following:

1.5 * 2 inches = 7 miles * 1.5

Evaluate the products

3 inches = 10.5 miles

Hence, the actual distance between the two cities is 10.5 miles

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Answer:

x^2-2x-24

Step-by-step explanation:

Note:

Ortho centre :a point of intersection of altitudes of a triangle meets the opposite angle.

Given:

For Orthocentre:.

A(1, 2), B(2, 6), C(3,-4). are vertices of a triangle:

Slope of AB[m1]=\( \frac{6-2}{2-1} \)=4

Since it is perpendicular to CX.

slope of CX=m2

we have for slope of perpendicular

m1m2=-1

m2=-¼

It passes through the point C(3,-4)

equation of line CX becomes;

(y-y1)=m(x-x1)

y+4=-¼(x-3)

4y+16=-x+3

x+4y+16-3=0

x+4y+13=0........[1]

again:

Slope of AC[m1]=\( \frac{-4-2}{3-1} \)=-3

Since it is perpendicular to BY

slope of BY=m2

we have for slope of perpendicular

m1m2=-1

m2=⅓

It passes through the point B(2,6)

equation of line BY becomes;

(y-y1)=m(x-x1)

y-6=⅓(x-2)

3y-18=x-2

x-3y+18-2=0

x-3y+16=0.........[2]

Subtracting equation 1&2.

x+4y+13=0

x-3y+16=0

-__________

7y-3=0

y=\( \frac{3}{7} \)

again

Substituting value of y in equation 1.

x+4*\( \frac{3}{7} \)+13=0

x=-13-\( \frac{12}{7} \)

x=\( \frac{-103}{7} \)=-14\( \frac{5}{7} \)

So

orthocenter is (-14\( \frac{5}{7} \),\( \frac{3}{7}\))

Circumcentre: a point of intersection of perpendicular bisector of the triangle.

Now

X,Y and Z are the midpoint of AB,AC and BC respectively.

X(a,b)=(\( \frac{2+1}{2} \),\( \frac{2+6}{2} \))=

(\( \frac{3}{2} \),4)

Slope of AB=4

Slope of OX=-¼

Equation of line OX passes through (\( \frac{3}{2} \),4)is

y-4=-¼(x-\( \frac{3}{2} \))

4y-16=-x+\( \frac{3}{2} \)

8y-16*2=-2x+3

2x+8y=3+32

2x+8y=35

x+4y=\( \frac{35}{2} \)........[1]

again

Y(c,d)=(\( \frac{3+1}{2} \),\( \frac{-4+2}{2} \)=(2,-1)

Slope of AC:-3

Slope of OY=⅓

Equation of line OY passes through (2,-1) is

y+1=⅓(x-2)

3y+3=x-2

x-3y=3+2

x-3y=5......[2]

Multiplying equation 2 by 3 and

Subtracting equation 1&2.

x+4y=35/2

x-3y=5

-_______

7y=\( \frac{25}{2} \)

y=\( \frac{25}{14} \)

Substituting value of y in equation 2.

x-3*\( \frac{25}{14} \)=5

x=5+\( \frac{75}{14} \)

x=\( \frac{145}{14} \)

x=10\( \frac{5}{14} \)

circumcenter of a triangle: (10\( \frac{5}{14} \),1\( \frac{11}{14} \))

Answer:

r = 10.72 cm

Step-by-step explanation:

h = 6 cm

Volume of cone = 722 cubic cm

\(\frac{1}{3}\pi r^{2}h=722\\\\\frac{1}{3}*3.14*r^{2}*6=722\\\\r^{2}=\frac{722*3}{3.14*6}\\\\r^{2}=114.97\\\\r = \sqrt{114.97}\\\\r = 10.72\)

Answer:

Step-by-step explanation:

4x + 2x + 6 = 90

6x + 6 = 90

6x = 90 - 6

6x = 84

x = 84/6

x = 14

Answer: B

Step-by-step explanation:

Answer:

1. 200

2. 78

3. 50%

4. 20%

5. 14.52

6. 72

7. 30

8. 27

9. 50%

10. 20%

I hope this helps:D

Answer:

Open this picture I send you

I hope I helped you :3

I hope you are having a great day ❤️❤️❤️❤️

\( \huge \mathrm{ Answer : }\)

\( \boxed{ \mathrm{circumference = 2\pi r}}\)

_____________________________

\( \boxed{Area = \pi {r}^{2} }\)

Area of circle = 2464 unit²

_____________________________

\(\mathrm{ \#TeeNForeveR}\)

Answer:

A

Step-by-step explanation:

25*6=150

150+150=300

He spends 300

300-300=0

Hope this helps!

Answer:

A. Every week for 6 weeks Drake deposits $25. On week 7 Drake purchases a computer for $300.

Step-by-step explanation:

Initial deposit = $150. Knowing this..

A. 6 x 25 = 150, 150 + 150(i.d.) = 300, 300 - 300 = 0

B. 6 x 25 = 150, 150 + 150(i.d.) = 300, 300 - 150 = 150

C. 10 x 10 = 100, 100 + 150(i.d.) = 250, 250 - 100 = 150

D. 10 x 10 = 100, 100 + 150(i.d.) = 250, 250 - 150 = 100

Hope this helped!