Find the number of groups and the number left over. 24 - 5 = with left over 24-5= with left over (Type whole numbers.) ​

Answer:

[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The cosine ratio is defined as:

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Note the angle A of the figure has 17 as the adjacent leg and 38 as the hypotenuse, so we can directly apply the formula:

[tex]\displaystyle \cos A=\frac{17}{38}[/tex]

[tex]\cos A=0.4474[/tex]

Using a scientific calculator, we get the inverse cosine:

[tex]A=\arccos(0.4474)[/tex]

[tex]A\approx 63^\circ[/tex]

Since A+B+C=180°, we can solve for C:

C = 180° - A - B

C = 180° - 63° - 90°

C = 26°

Thus:

[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]

In the given right triangle ABC, m∠A ≈ 26.44° and m∠C ≈ 63.56°.

To solve the right triangle ABC, we can use trigonometric ratios. In a right triangle, the three main trigonometric ratios are:

1. Sine (sin): [tex]\(\sin(\theta) = \frac{{\text{opposite side}}}{{\text{hypotenuse}}}\)[/tex]

2. Cosine (cos): [tex]\(\cos(\theta) = \frac{{\text{adjacent side}}}{{\text{hypotenuse}}}\)[/tex]

3. Tangent (tan): [tex]\(\tan(\theta) = \frac{{\text{opposite side}}}{{\text{adjacent side}}}\)[/tex]

Given:

AC = 38

AB = 17

To find the angles m∠A and m∠C, we can use the sine and cosine ratios, respectively.

1. For m∠A:

[tex]\(\sin(m\angle A) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle A= \sin^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]

2. For m∠C:

[tex]\(\cos(m\angle C) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle C = \cos^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]

Let's calculate the angles:

[tex]1. \(m\angle A \approx \sin^{-1}\left(\frac{{17}}{{38}}\right) \approx 26.44^\circ\)\\\\2. \(m\angle C \approx \cos^{-1}\left(\frac{{17}}{{38}}\right) \approx 63.56^\circ\)[/tex]

Therefore, m∠A ≈ 26.44° and m∠C ≈ 63.56° (rounded to the nearest degree).

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Answer:

the slope is negative....

Answer:

Step-by-step explanation:

4(y)3 - 3(z)4

Sub:- 4(3)raise to three - 3(2)raise to four

4(27)-3(16)

4*27-3*16

108-48

=60.

Answer:

y = 6

Step-by-step explanation:

2(y - 3) = y

2y - 6 = y

y = 6

Hope that works out :)

Answer:

Step-by-step explanation:

The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

here, we have,

given that,

We are given a matrix,

Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]

and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]

We have to find the resulting matrix after performing given row operations

2R2 +R3 ⇒ R3

Apply

we get,

:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]

and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

Hence, resulting matrix

[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

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Answer:

The distribution is approximately normal with mean = 2.8 and standard error = 0.4

Step-by-step explanation:

We are given;

Mean; μ = 2.8

Standard deviation; σ = 4

Sample size; n = 100

Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)

The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.

Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4

Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4

Answer:

[tex]\frac{20}{12}[/tex]

Step-by-step explanation:

Answer:

20/12 since 3*4 is 12 u do 5*4

Step-by-step explanation:

Please mark brainliest and hope this helps ya!!

Answer:

1. 0 weeks

2.$50 in savings

3.8 weeks

4. $90 in savings

Step-by-step explanation:

Answer:

y=20x

Step-by-step explanation:

do do I intercept a zero, so you don't have a "b"

The slope is 20. that's pretty self-explanatory

Answer:

[tex]\huge\boxed{P(2;\ -3);\ Q(4;\ -2)\ \text{and}\ R(-4;\ 8)}[/tex]

Step-by-step explanation:

[tex]A(x;\ y)\xrightarrow{S_{OY}}A'(-x;\ y)\\\\\text{The abscissa changes to the opposite:}\ x\to -x\\\\\text{Therefore}\\\\P(-2;\ -3)\xrightarrow{S_{OY}}P'(2;\ -3)\\\\Q(-4;\ -2)\xrightarrow{S_{OY}}Q'(4;\ -2)\\\\R(4;\ 8)\xrightarrow{S_{OY}}R'(-4;\ 8)[/tex]

Answer:

I would say the last one

Step-by-step explanation:

The third works the same way but 46/17 is hard to calculate without a calculator

Answer: The dollar value of the raffle prize = 300

Step-by-step explanation:

Given: The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize.

If T =1900

Then,

[tex]1900-6P=100[/tex]  [Put T=1900 in given equation]

[tex]\Rightarrow\ 6P=1900-100\\\\\Rightarrow\ 6P= 1800\\\\\Rightarrow P=\dfrac{1800}{6}\\\\\Rightarrow\ P=300[/tex]

Hence, the dollar value of the raffle prize = 300

Answer:

-9.

Step-by-step explanation:

Answer:

5.1

Step-by-step explanation:

To solve this equation I will use the formula a²+b²=c². For these terms I will represent the missing value as the variable a. The equation should be renewed as this: a²+6.4²=8.2², simplified: a²+40.96=67.24. I will now subtract 40.96 from 67.24 to get "a" by itself, as of which now I have a²=26.28. Next I square root both values: √a² =√26.28. The final answer is "a"= 5.1264022471905, otherwise, when rounded, "5.1". Hopefully this helps. A word of advice, when a problem gives you two values for a triangle, always refer to the equation a²+b²=c², as you will always find the missing value. Also remember that the legs cannot be of greater value than the hypotenuse which is the diagonal line. The hypotenuse is always "c".

Answer:

A

Step-by-step explanation:

Answer:

IT'S A. HEHEHEHEHEHEHE

Answer:4.48

Step-by-step explanation:

Cuz I sed so. (70% chance of being wrong, so just use 4.48099829836)

Given :

On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .

The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.

To Find :

The price of a senior ticket and the price of a child ticket.

Solution :

Let, price of senior ticket and child ticket is x and y respectively.

Mathematical equation of condition 1 :

10x + y = 85    ...1)

Mathematical equation of condition 2 :

5x + 7y = 75    ...2)

Solving equation 1 and 2, we get :

2(2) - (1)   :

2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0

10x + 14y - 150 - 10x - y + 85 = 0

13y = 65

y = 5

10x - 5 = 85

x = 8

Therefore, price of a senior ticket and the price of a child ticket $8 and $5.

Hence, this is the required solution.

Answer:

5.2

Step-by-step explanation:

√27 = 5.1962 (5s.f.) = 5.2 (2s.f.)

Answer:

i hope 5.2 is the answer

Step-by-step explanation:

i m not sure

Answer:

7.6158

Step-by-step explanation:

Answer:

Y = 7

Step-by-step explanation:

You would add 4 to both sides to cancel out the -4. That leaves y by itself equaling 7.

The solution of the equation y – 4 = 3 will be 7.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

y – 4 = 3

Add 4 on both sides, we have

y – 4 + 4 = 3 + 4

            y = 7

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Answer:

Step-by-step explanation:

I’m not sure but I need points

Answer:

54

Step-by-step explanation:

divide

Answer:

C

Step-by-step explanation:

2x+3x Have the same variable. Therefore they both have like terms

Answer:

the answer would be 120 square yards

Step-by-step explanation:

you multiply the 15 and 24 then after that you divide the out come by 3 because a square yard is 3 by 3

Answer:

C. y = 2/3x + 6

Step-by-step explanation:2/3 is the slope and 6 is the y intercept.