if sin=3 by 5 and cos =4 by 5 find tan​

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Answer:

x=24

Step-by-step explanation:

First: Multiply -6 to both sides

Next: You get 3x=72

Then: Divide 72 by 3

Last:....

ANSWER: x=24

hi !! the answer is x= -24 :))  

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

for such more question on equation

https://brainly.com/question/17482667

#SPJ8

Answer: B. 45 degrees

Step-by-step explanation:

Answer: 56%, 22%, 4%, 18%

Step-by-step explanation: Add the numbers up to get 100 and each number out of 100 is that percentage.

Answer:

The rate of decay is 12% or .12

Step-by-step explanation:

Answer:

B) mix number

According to the given information, the letter that comes next in the given alphanumeric series is "N".

What is alphanumeric series?

An alphanumeric series is a sequence of letters and/or numbers that follows a certain pattern or rule. For example, "A, B, C, D, E..." is an example of an alphabetical series, and "1, 3, 5, 7, 9..." is an example of a numerical series. An alphanumeric series may combine both letters and numbers, such as "A1, B2, C3, D4, E5...". The pattern or rule followed by an alphanumeric series may be based on numerical or alphabetical order.

The given series V, Q, M, J, H, ... follows a pattern where each letter is the 6th letter from the previous letter. So, the next letter in the series would be 6 letters after H, which is N.

Therefore, the letter that comes next in the given alphanumeric series is "N".

To know more about the alphanumeric series visit:

brainly.com/question/10798102

#SPJ1

We are 99% confident that the true proportion of employed individuals working at home at least once per week is between 11.8% and 21.8%.

The formula for a confidence interval for a proportion is

p ± Z(α/2) * \(\sqrt[(p(1-p))/n],\)

where p is the sample proportion and

n is the sample size.

Given n=250 and 42 individuals working from home, we find

p=42/250

= 0.168.

For a 99% confidence level, Z(α/2) is approximately 2.58.

Plugging in these values, we get 0.168 ± 2.58 * \(\sqrt{[(0.168*(1-0.168))/250]. }\)

This results in an interval (0.118, 0.218).

Therefore, we are 99% confident that the true proportion of employed individuals working at home at least once per week is between 11.8% and 21.8%.

Read more about lower bound here:

https://brainly.com/question/28725724

#SPJ1

The possibility that someone randomly guesses the correct combination in five attempts is 1/200

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Given;

There are three wheels

Each numbered from 0 to 9

For the first wheel, you have 10 possible digits.

For the second wheel, you have 10 possible digits.

For the third wheel, you have 10 possible digits.

10 x 10 x 10 = 1000

For 5 attempts= 5/1000

=1/200

Therefore, the probability will be 1/200

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ1

Answer:

Step-by-step explanation:

2915 can stay as it is; 15.458 should be rounded down to 15.  Then we have

2915-15, or 2900 (which is a very reasonable estimate).

Answer:    

0.05

Step-by-step explanation:

The solution to the given inequality is\($$x \leq-6$$\)

\($$3 x+5 \leq-13$$\)

Move 5 to the right side

\($$3 x \leq-18$$\)

Divide both sides by 3

\($\frac{3 x}{3} \leq \frac{-18}{3}$\)

Simplify

\($$x \leq-6$$\)

To learn more about Inequality refer to:

https://brainly.com/question/25944814

#SPJ1

Answer:

X=4

Step-by-step explanation:

-2x+1=-4x+9 Firstly subtract 1 from each side

-2x+1-1+-4x+9-1 Simplify by subtracting

-2x=4x+8 Add 4x to both sides

-2+4x=-4+8+4x Simplify by combining like terms

2x=8 Divide both sides by the same term

2x/2=8/2 Divide the numbers

x=4

Final answer: X=4

Enjoy! ^^

9514 1404 393

Answer:

  t < 8

Step-by-step explanation:

The total fee for t hours is ...

  13 +4t

The Chemistry Club wants this t be less than $45, so the restriction on t is ...

  13 +4t < 45

  4t < 32

  t < 8

The Chemistry Club could rent the room for less than 8 hours.

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

Read more on perimeter of a shape;

https://brainly.com/question/303508

#SPJ1

Given:

The output rate of Martinez family's sprinkler is 25L per hour and Green family's sprinkler is 35L per hour. The combined usage of sprinkler is 40 hours. The resulting water output is 1250L.

To find:

The number of hours each family used the sprinkler.

Solution:

Let Martinez family used sprinkler for x hours and Green family used sprinkler for y hours.

Since the combined usage of sprinklers is 40 hours. So,

The output rate of Martinez family's sprinkler is 25L per hour and Green family's sprinkler is 35L per hour. The resulting water output is 1250L. So,

Multiply (i) by 7 and subtract from (ii), to get:

Now, we get x = 15, Put x = 15 in the equation (i):

Thus, x = 15, y = 25.

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

Answer: 3/4 hour

Step-by-step explanation: Add them all to get 3 3/4. subtract that from 4 1/2.

Answer:

\(3x - 4y + z = 1\)

Step-by-step explanation:

Given

\(Point\ 1 = (4,3,1)\)

\(Point\ 2 = (4,1,-7)\)

Perpendicular to \(8x + 7y + 4z = 18\)

Required

Determine the plane equation

The general equation of a plane is:

\(a(x-x_1) + b(y - y_1) + c(z-z_1) = 0\)

For \(n = <a,b,c>\)

\((x_1,y_1,z_1) = (4,3,1)\)

\((x_2,y_2,z_2) = (4,1,-7)\)

First, we need to determine parallel vector \(V_1\)

\(V_1 = <x_1 - x_2, y_1 - y_2, z_1 - z_2>\)

\(V_1 = <4 - 4, 3 - 1, 1 - (-7)>\)

\(V_1 = <0,2,8>\)

\(V_1\) is parallel to the required plane

From the question, the required plane is perpendicular to \(8x + 7y + 4z = 18\)

Next, we determine vector \(V_2\)

\(V_2 = <8,7,4>\)

This implies that the required plane is parallel to \(V_2\)

Hence: \(V_1\) and \(V_2\) are parallel.

So, we can calculate the cross product \(V_1 * V_2\)

\(V_1 = <0,2,8>\)

\(V_2 = <8,7,4>\)

\(n = V_1 * V_2\)

\(V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]\)

The product is always of the form + - +

So:

\(V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]\)  \(-j\left[\begin{array}{cc}0&8\\8&4\end{array}\right]\) \(+k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]\)

Calculate the product

\(V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)\)

\(V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)\)

\(V_1 * V_2 = i(-48) - j(- 64) + k(- 16)\)

\(V_1 * V_2 = -48i +64j - 16k\)

So, the resulting vector, n is:

\(n = <-48,64,-16>\)

Recall that:

\(n = <a,b,c>\)

By comparison:

\(a = -48\)   \(b = 64\)   \(c = -16\)

Substitute these values in \(a(x-x_1) + b(y - y_1) + c(z-z_1) = 0\)

\(-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0\)

Recall that:\((x_1,y_1,z_1) = (4,3,1)\)

So, we have:

\(-48(x-4) + 64(y - 3) -16(z-1) =0\)

\(-48x + 192 + 64y -192 - 16z +16 = 0\)

Collect Like Terms

\(-48x + 64y - 16z = 0 - 192 + 192 - 16\)

\(-48x + 64y - 16z = -16\)

Divide through by -16

\(3x - 4y + z = 1\)

Hence, the equation of the plane is\(3x - 4y + z = 1\)

Answer:

The answer is $2.00 per ounce of soda.

Step-by-step explanation:

Hope this helps!

Answer:

$2.00 per ounce of soda. please mark me brainliest :)

Step-by-step explanation:

Step-by-step explanation:

2πr

2x 3.14 x 8.1 = 50.22in

Answer:

Step-by-step explanation:

The better buy is the one where you get more area of pizza per dollar (area/price).

Since the problem gives diameter, we assume the pizzas are circle-shaped.

Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.

*************************************************************************************

Pizza 1: d = 8 and price is $10

r = 1/2 x d = 4

Area of Pizza 1 = πr² = π(4)² = 16π

*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar

**********************************************************************************

Pizza 2: d = 14 and price is $16

r = 1/2 x d = 7

Area of Pizza 2 = πr² = π(7)² = 49π

*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar

***********************************************************************************

Pizza 2 is the better buy, with more pizza per dollar.

Regarding the conditional statement presented in this problem, it is found that:

A conditional statement with hypothesis p and conclusion q is given as follows:

p -> q.

I n this problem, the statement is:

If am animal is a dog, then it has four legs.

The statement is true, as all dogs have four legs, and the hypothesis and conclusion are given as follows:

For the converse statement, the hypothesis and the conclusion are exchanged, hence:

q -> p.

Thus the statement is:

If an animal has four legs, then it is a dog.

Which is false, by contradiction, as a cat, for example, also has four legs.

For the inverse statement, both the hypothesis and the conclusion are negated, hence:

~p -> ~q.

Thus the statement is:

If an animal is not a dog, then it does not have four legs.

Which is false, also taking the cat example.

For the contrapositive statement, the hypothesis and the conclusion are switched and then negated, hence:

~q -> ~p.

Thus the statement is:

If an animal does not have four legs, then it is not a dog.

Which is true, as all dogs have four legs.

More can be learned about conditional statements at brainly.com/question/11073037

#SPJ1

Answer:

uuuuhhhhhh

Step-by-step explanation: srry too hard

Answer:

obtuse

Step-by-step explanation:

as one angle is bigger than 90°