In a poll of Mr. Briggs’s math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school. Explain why this is not a valid conclusion and suggest a way to gather better data to determine what subject is most popular.

Answer:

168

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180° , then

∠ BAC + 51° + 90° = 180°

∠ BAC + 141° = 180° ( subtract 141° from both sides )

∠ BAC = 39°

using the tangent ratio in the right triangle

tan51° = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{12.8}[/tex] ( multiply both sides by 12.8 )

12.8 × tan51° = AC , then

AC ≈ 15.8 ( to 1 dec. place )

using the cosine ratio in the right triangle

cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12.8}{AB}[/tex] ( multiply both sides by AB )

AB × cos51° = 12.8 ( divide both sides by cos51° )

AB = [tex]\frac{12.8}{cos51}[/tex] ≈ 20.3 ( to 1 dec. place )

The measure of the ∠B of given parallelogram is 362 - 42x

In the above question, a figure which is known as Parallelogram is given, where the following angles are given :

Measure of ∠A = 6x + 14

Measure of ∠C = 9x - 7

Measure of ∠D = 17x + 5

We need to find, the measure of the ∠B

From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B

Now,

∠A + ∠B +  ∠C + ∠D = 360

16x + 14 +  ∠B + 9x - 7 + 17x + 5 = 360

∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)

∠B + 42x = 360 - (-2)

∠B = 362 - 42x

Hence, the measure of the ∠B is 362 - 42x

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Answer:

56 degrees

Step-by-step explanation:

Just did the Imagine Math

Answer:

state the formula which is S.I =P×T×R

Answer:

Step-by-step explanation:

that should help

Answer:

I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2

Step-by-step explanation:

Hope this helps! ;-)

Answer:

x = 4

Step-by-step explanation:

-x + 6 = 0.5x

1.5x = 6

x = 4

Answer:

I believe it would be -20 because the number line values skip by 2 or 3 each skip.

Answer:

the correct answer is A, thats when cos of ttheta is

Answer:

x = -2

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]

1. Cross-multiply

(x + 3)(x + 8) = (x + 5)(x + 4)

2. Distribute

⟹ (x + 3)(x + 8) = (x + 5)(x + 4)

⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

3. Combine like terms

⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20

⟹ x² + 11x + 24 = x² + 9x + 20

4. Subtract x² from both sides

⟹ x² - x² + 11x + 24 = x² - x²  + 9x + 20

⟹ 11x + 24 = 9x + 20

5. Subtract 24 from both sides

⟹ 11x + 24 - 24 = 9x + 20 - 24

⟹ 11x = 9x - 4

6. Subtract 9x from both sides

⟹ 11x = 9x - 4

⟹ 11x - 9x = 9x - 9x - 4

⟹ 2x = -4

7. Divide both sides by 2 to isolate the variable

⟹ 2x ÷ 2 = -4 ÷ 2

⟹ x = -2

Answer:

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36 ( subtract 6x from both sides )

- x + 12 = - 36 ( subtract 12 from both sides )

- x = - 48 ( multiply both sides by - 1 )

x = 48

Step-by-step explanation:

5x + 12 = 6x - 36

5x + 12 - 6x = - 36

- x = - 36 - 12

- x = - 48

Now change the sign of both side of the equation...

x = - ( - 48)

x = 48...

Answer:  

[tex]85in^2[/tex]

Step-by-step explanation:

to find the surface area we need to find the followng areas:  

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

[tex]a_{square}=l^2[/tex]

where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]

thus the area of the square is:

[tex]a_{square}=(5in)^2[/tex]

[tex]a_{square}=25in^2[/tex]

Area of the triangles:

the are of 1 triangle is given by

[tex]a_{triangle} =\frac{b*h}{2}[/tex]

where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)

and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]

thus, the area of 1 triangle is:

[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]

[tex]a_{triangle} =\frac{30in^2}{2}[/tex]

[tex]a_{triangle} =15in^2[/tex]

the area of the 4 triangles is (we multiply by 4):

[tex]a_{4-triangles}=4(15in^2)[/tex]

[tex]a_{4-triangles}=60in^2[/tex]

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

[tex]Surface=25in^2+60in^2[/tex]

[tex]Surface=85in^2[/tex]

The letter A represents where the amount of $158.29 should be written.

The letter D represents where the amount of $250 should be written.

This refers to the automated machine that is used to handle cash transactions and also for making calculations.

Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.

However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.

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Answer:

A and D

Edge 2022

Answer:

61.90

Step-by-step explanation:

12.2+14+14+6=46.2

of semi circle

circumference of semi circle = [tex]\pi[/tex]d

[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]

semi circle so divide by 2 = 5[tex]\pi[/tex]

5[tex]\pi[/tex] = 15.7

46.2 + 15.7 = 61.9

Answer:

a = -4

Step-by-step explanation:

(a + 2)/2 = - 1

a+2 = -1 * 2

a = - 2 - 2

a = -4

Answer:

-2.5

Step-by-step explanation:

soo your objective is to make a alone

first remove the denominator

a+2 / 2 = -1

a + 2 = -1/2

now minus 2 to  both sides

a = -1/2 - 2

a = -2 1/2

Answer:

[tex]x=\pm 3i[/tex]

Step-by-step explanation:

[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]

Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).

Answer:

tanΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex]

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

then

tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

The amplitude is the highest point that the curve reached

Which is in your case = 2

The reason why Americans have lower levels of magnesium than health experts recommend is because of the prevalence of processed food.

The nutrients in food are those components of food that serve the purpose of nourishing our body. The nutrients present in processed food are different from those present in natural food.

Since many Americans eat a lot of processed instead of natural food, they often lack magnesium which is often absent in processed food.

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Answer: B

Step-by-step explanation:

By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.

Answer:

See below ~

Step-by-step explanation:

Volume of prism :

Volume of small-size box of dog treats :

Answer:

Company "A"

Step-by-step explanation:

its the highest line on the graph from the 300 point.

Answer:

[tex]15^{3}[/tex]

Step-by-step explanation:

[tex]15^{3} =(15)(15)(15)=3375[/tex]

Hope this helps

Answer:

19

Step-by-step explanation:

Answer:

g(a) = a² + a

Step-by-step explanation:

g(x) = x² + x

put x = a

:- g(a) = a² + a

[tex]g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)[/tex]

Answer: coeficient is 20 and the constant which is 13

Step-by-step explanation:

Answer: It should be 4 11/15 gallons.

Step-by-step explanation:

I multiplied both of the amounts.

Answer:

[tex]x=-4,\: x=1[/tex]

Step-by-step explanation:

[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]

Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.

Step-by-step explanation:

b is the answer y=50+12x/x

As we can get the information

the registration fee is fixed, but the dues is

increased with the Month.

so the average monthly cost

answer y=50+12x/x