There are 150 students in the marching band, and 30 of them play the trumpet. Which number line represents the percent of the students in the marching band who play the trumpet? PICK THE CORRECT NUMBER LINE QUICK!!!​

Answer:

y= -7

Step-by-step explanation:

y=ax+b

Find a where a=y2-y1 /x2-x1

y2=13,y1=5 x2=5,x1=3

substituting the values

a=13-5/5-2

a=8/2

a=4

substituting a into the formular

y=4x+b

taking x and y values let say 3 and 5 for x and y

the equation becomes

5=4(3)+b

5=12+b

5-12=b

-7=b

substituting the values of a and b into the equation

y=4x-7

when x=0

y=4(0)-7

y=0-7

y=-7

so when x=0,y=-7

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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The only rule to follow is

Divide dividend by divisor and the mention the quotient and things left after remains in place of remainder

Here is a sample

\(\sf\Large\qquad\quad16\\ \begin{array}{cc} \cline{2 - 2}\sf 20 )&\sf \ 327\\&\sf - 20 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 127\\ &\sf \ - 120 \\ \cline{2-2} & \sf \ \007 \\ \cline{2-2} \end{array}\\\\\\ \sf Divisor \rightarrow 20 \\ \\ \sf Quotient \rightarrow 16\\\\ \sf Remainder \rightarrow 7\)

Answer:

(0,6)

Step-by-step explanation:

It is the only one that has both numbers that line up with each other.

Answer:

          ______

x  =  − 0.  142857

Step-by-step explanation:

Answer:

A pentagon has 5 sides.

Sum of the interior angles = ( n - 2) x 180

Sum of the interior angles = ( 5 - 2) x 180

Sum of the interior angles = 540°

STEP 2: Find one interior angle:

one interior angle = 540 ÷ 5 = 108°

STEP 3: Find the sum of interior angles of a decagon

A decagon has 10 sides

Sum of the interior angles = ( n - 2) x 180

Sum of the interior angles = ( 10 - 2) x 180

Sum of the interior angles = 1440°

STEP 4: Find one interior angle:

one interior angle = 1440 ÷ 10 = 144°

STEP 5: Find the ratio:

Pentagon : Decagon = 108 : 144

Simplify:

Pentagon : Decagon = 3 : 4

Answer: The ratio is 3 : 4

Answer:

6 × 6

Step-by-step explanation:

6 squared also know as 6^2 means 6 × 6

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

Sin X = 15/17

Cos X = 8/17

Tan X = 15/8

Step-by-step explanation:

Recall, SOHCAHTOA.

Thus:

Sin X = opp/hyp

opp = 15

hyp = 17

✅Sin X = 15/17

Cos X = adj/hyp

Adj = 8

Hyp = 17

✅Cos X = 8/17

Tan X = opp/adj

Opp = 15

Adj = 8

✅Tan X = 15/8

Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6

∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°

Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.

triangle FBT is similar to triangle ADQ with a scale factor of 5/3.

AD = 9; BF = 9 * 5/3 = 15

DQ = 6; BT = 6 * 5/3 = 10

FT = 21; AQ = 21 * 3/5 = 12.6

∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°

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A is the answer to this question.

Answer:

We need the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Where's the line?

Answer:

x=2

Step-by-step explanation:

To find the axis of the simmetry of parabola ( the curve of the quadratic function) we have to find the x of the top point of the parabola.

The x= -12/-(2*3)= 2

So the axis of the symmetry is the line x=2

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $1,800

Number of periods (t)= 6 months

Monthly interest rate (r)= 0.144/12= 0.012

To calculate the interest to be paid and the total amount due, we need to use the following formula:

I= P*r*t

I= 1,800*6*0.012

I= $129.6

Total amount= $1,929.6

Answer:

\(c=\sqrt{130}\\\)

Step-by-step explanation:

When we solve for this we should always remember this formula \(a^2+b^2=c^2\) and since we already know a and b we can plug that in to find out what c could be but we won't actually solve it.

\(a^2+b^2=c^2\\7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{c^2}=\sqrt{130}\\c=\sqrt{130}\)

So c would equal whatever the square root of 130 is.

Answer:

Mabel's score = s

2s-59

Step-by-step explanation:

I HOPE MABEL HAS A NICE GRADE

Is it Mabel from Gravity Falls?

lol

Answer:

2⁻⁴

Step-by-step explanation:

0.0625 = 1/16 = 1/2⁴ = 2⁻⁴

Answer:

30% increase

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = $35.10 - $27 = $8.10 , then

percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%

Answer:

Step-by-step explanation:

step 1:       35.10-27 =8.1

step 2:       8.1/27 x 100 = 30%

so therefore = 30% increase

Answer: 0.64

Step-by-step explanation:

\(10 = 7 - m \\ = > m = 7 - 10 \\ = > m = - 3\)

m = -3.

Answer:

m = -3

Step-by-step explanation:

We are given:

10 = 7 - m

We can simplify this to get:

3 = -m

m = -3

Answer:

8+f

Step-by-step explanation:

The SUM of 8 and f

Pls tell me if Im wrong

Hope this helps

Answer:

2/9

Step-by-step explanation:

16/72 is the same thing as 2/9, just simplified. If you make 16 to 72 in a fraction you get 16/72. You divide them with their GCF which is 8. 16 divided by 8 is 2 and 72 divided by 8 is 9. Therefore the answer is 2/9.

The values of x in each case as required to be determined are;

As evident from the task content; it can be inferred from the task content that; two similar triangles can be assessed from each figure.

Hence, the ratio which holds for each scenario are as follows;

For question 3;

16 / x = x / 9;

x² = 144;

x = 12.

For question 4;

12 / x = x / 4

x² = 36

x = 6.

Ultimately, the value of x in each case are as evaluated above.

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Answer:

24 or 6

Step-by-step explanation:

I got 24 by just taking 30 and subtracting 20% and the 6 by findingout what 20% of 30 was but my best answer is 24

Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625\)

\(p = 0.37(0.0625) = 0.0231\)

0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at https://brainly.com/question/24863377

Answer:

4.1469 x 10^5

Step-by-step explanation:

multiply the coefficients and add the exponents

1.202 x 3.45 = 4.1469

10³ x 10² = 10^5

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.

x = width of the billboard designer

Total Area including margin = 150 ft^2

Height of the billboard = Area/width

Height of the billboard = 150/x

Before the height of the billboard = (150/x - 5 × 2)

Before the height of the billboard = (150/x - 10) ft

The width of the printed region billboard = (x - 2 × 2)

The width of the printed region billboard = (x - 4) ft

The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard

The area of the printed region of the billboard = (150/x - 10)(x - 4)

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The complete question is:

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.

Area as a function of x =

The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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