In a right angled triangle, the acute angles are in the ratio 4:5. Find the angles of the triangle in degree and radian....​

Answer:

Independent

Step-by-step explanation:

there equal to different things (?)

Hope that was correct :)

Answer:

x = 29

Step-by-step explanation:

105 + 110 + 2x + 3x = 360

Simplify

215 + 5x = 360

Move all terms not containing x to the right side of the equation.

5x = 145

x = 29

good luck, i hope this helps :)

Answer:

Hello! answer: a = 107

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees so...

180 - 73 = 107 therefore a = 107 hope that helps!

Answer:

107

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

73+a = 180

Subtract 73 from each side

a = 180-73

a = 107

Answer:

\(23 - z\)

Step-by-step explanation:

Given

\(Length =23cm\)

\(One\ Piece = z\)

Required

Derive an expression for the second piece

Represent the second piece with x,

So, we have:

\(x + z = 23cm\)

\(x + z = 23\)

Subtract z from both sides

\(x + z - z = 23 -z\)

\(x = 23 -z\)

Hence:

An expression for the second piece is \(23 - z\)

Answer:

greater than

Step-by-step explanation:

1.994 is closer to 2 than 1.493 so it is greater!

The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

easy claps!!

Answer: 30=2x+4 and there are 17 girls in the class.

Step-by-step explanation: if x+4=[total girls] and x=[total boys] and 30=[total kids], then x+4+x = 2x+4 = [total kids], since total kids id 30 then our equation is 30 = 2x + 4 and x= 13boys so 30-13= 17girls.

It's BASIC prealgebra so you should probably practice bit more with linear equations!

Answer:

ThousandsHundredsTensOnes7270

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

Learn more about infinite here

https://brainly.com/question/3928632

#SPJ9

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

To know more about Shelter.

https://brainly.com/question/26279394

#SPJ11

Using the formula for simple interest, it is found that he paid $119.87 in interest.

The simple interest formula is given by:

\(E = PIt\)

In this problem:

Thus, the interest paid was of:

\(E = PIt = 2700(0.035)(1.2685) = 119.87\)

$119.87.

A similar problem is given at https://brainly.com/question/9593067

The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

For such more question on stock

https://brainly.com/question/29724384

#SPJ8

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

the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

To learn more about equation:

https://brainly.com/question/29657983

#SPJ1

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

Read more on dilation here: brainly.com/question/20482938

#SPJ1

It reheats the gas from the fuel and releases it more rapidly.

The answer is option A.

In full afterburner at low altitudes, the F-16 can burn in excess of 64,000 pounds an hour. At full throttle, a U.S.-variant F-16 with maximum external fuel stores has about 20 minutes until it's on emergency reserves (which would only last an extra minute or so at full afterburner).

Since the exhaust gas already has a reduced oxygen content, owing to the previous combustion, and since the fuel is not burning in a highly compressed air column, the afterburner is generally inefficient in comparison to the main combustion process.

Learn more about afterburner here: brainly.com/question/26837438

#SPJ2

Answer:

The probability he will roll a 5 is 0.167.

Step-by-step explanation:

Minh has a 6-number cube it has a different number on each side.

The number on each side are: 4, 5, 6, 7, 8 or 9.

As there are different number on each face of the cube, on every roll the possible outcomes are:

S = {4, 5, 6, 7, 8 or 9}

n (S) = 6

The probability of an event E is the ratio of the favorable number f outcomes to the total number of outcomes.

\(P(E)=\frac{n}{N}\)

Compute the probability of rolling a 5 as follows:

\(P(E)=\frac{n}{N}\\P(5)=\frac{1}{6}\\=0.167\)

Thus, the probability he will roll a 5 is 0.167.

Comparing both data sets, we have: "Parker's team has a median of 75 points per player, with an IQR of 54 points. The opposing team has a median of points 74 points per player, with an IQR of 3 points.

Given that the data set for Parker's Basketball team is: 35, 32, 60, 80, 36, 90, 45, 76, 96, 92, 100, 120, 60, 38, 75, find the IQR and the median of the team:

The First Quartile is the middle of the first part of the data which is: 38

The middle of the data is the Median which is: 75

Third Quartile is: 92

IQR = third quartile - first quartile = 92 - 38 = 54.

Using the box plot given for the opposing team:

Median = 74

IQR = 76 - 73 = 3

Therefore, we can conclude that: "Parker's team has a median of 75 points per player, with an IQR of 54 points. The opposing team has a median of points 74 points per player, with an IQR of 3 points.

Learn more about Median and IQR on:

https://brainly.com/question/30963784

#SPJ1

Answer: hope this helps

Answer:

they are not equal

Step-by-step explanation:

13/4 hour is 3hour and 15 minutes

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

For more such questions on remainder visit:

https://brainly.com/question/29347810

#SPJ8

Answer:

-19.38

Step-by-step explanation:

E(x)=4,980*1/25000+1,980*2/25,000+980*3/25,000+480*5/25,000+80*10/25,000-20*24,979/25,000

E(x)=0.1992+0.1584+0.1176+0.096+0.032-19.9832

E(x)= -19.38

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

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

For more such questions on semi-annually

https://brainly.com/question/30573341

#SPJ8

They may bake 20 additional bags of cookies. The problem is represented by the inequality x < 80.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, A bakery wants to bag at most 100 cookies into cookie packs. Each cookie pack has 4 cookies. They have already bagged 20 cookies.

Since each cookie pack can hold 4 cookies

Thus, 100 cookies will require = 100/4 packs

100 cookies will required = 25 packs

Since They have already bagged 20 cookies.

Thus,

The total pack they used = 20/4

The total pack they used = 5

Inequality:

let "x" be the number of cookies they can make

80 > x

Therefore, 20 more bags of cookies they could make. the inequality that represents the situation is x< 80.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ1

Answer:

39/56

Step-by-step explanation:

When you add fractions, both of the base numbers (denominators) have to be the same number in order to add the top numbers (numerators).

The easiest way to do this is to multiply each denominator by the other number. For example, 8 * 7 and 7 * 8. So you will have 56 and 56. You also need to multiple the numerator by that number. So, 1 * 7 and 4 * 8. So you will have 7 and 32. This will show as 7/56 + 32/56. Finally, add the numerators - > 39/56

Answer:

\( \frac{39}{56} \)

Step-by-step explanation:

\( \frac{4}{7} + \frac{1}{8} \\ = \frac{32}{56} + \frac{7}{56} \\ = \frac{39}{56} \)

i hope this helps

sorry of it's wrong☺️

Answer:3

Step-by-step explanation:5674