If you were to randomly survey 10 people at 100 random eyeglasses stores across the country, would this be a random sample?

The answer is 2.25, or 2 1/4

The angle the tent pole makes with the sides of the tent is 39.6 degrees

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle the tent pole makes with the sides of the tent. Hence:

cosФ = 20/26

Ф = 39.6 degrees

The angle the tent pole makes with the sides of the tent is 39.6 degrees

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Answer:

The central pole forms a right triangle with the floor of the tent. The

of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is

. Applying

, we find that the angle the tent pole makes with the sides of the tent is

.

Step-by-step explanation:

Answer: 81%

Step-by-step explanation:

From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,

84% and 83% in 5 tests and the student wants to maintain an average of 80%.

The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:

First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:

= 80 × 6

= 480

We then add all the 5 test scores. This will be:

= 71 + 89 + 72 + 84 + 83

= 399

We then subtract the values gotten. This will be:

= 480 - 399

= 81

This means the student must get at least 81%

The equivalent expression at the point where it is undefined is ∞

Given the trigonometry expression

tanαcos(2α)

From trigonometry identity;

tanα = sinα/cosα

The expression above will become:

tanαcos(2α) = sinαcos(2α)/cosα

The function is undefined at the point where cosα = 0

cosα = 0

α = arccos(0)

α = 90degrees

Substitute α = 90degrees into the expression;

tanαcos(2α) =  tan 90 cos(180)
tanαcos(2α) = ∞

Hence the equivalent expression at the point where it is undefined is ∞

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Answer:

2 inches

Step-by-step explanation:

first figure is 6x12, so the length is half the width, so side g is 2 cause 1 is half of 2

Answer:

g = 2 inches

Answer:

y=2x+1

Step-by-step explanation:

Y intercept is 1 and slope is 2/1

Given that triangles RAM and PQR are similar triangles, therefore, the measure of PR is: 16 cm.

The sides of triangles that are similar to each other have proportional measures.

Given:

Thus:

AM/QP = RM/PR

Substitute

18/12 = 24/PR

PR = (24 × 12)/18

PR = 16 cm

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Answer: s = 12 degrees

Step-by-step explanation:

We know that the sum of angles in a triangle is 180 degrees.

So we can set up an equation to find s given that:

7s + 4s + s + 36 = 180

Combine like terms:

12s + 36 = 180

Subtract 36 from both sides:

12s = 144

Divide both sides by 12:

s = 12

Answer:

C. the same

Step-by-step explanation:

4.80 divided by 12 equals .40

6.40 divided by 16 equals .40

Answer:

this is hard-

Step-by-step explanation:

Hello

the same colour = ( RR- BB)

= 3/7 x  3/7  + 4/7 x 4/7

= 9/49 + 16/49

= 25/49

Answer:

7 = 84

Step-by-step explanation:

3 + 4 = 7

36 + 48 = 84

7 = 84

Hope this helps :)

This equation cannot be factorised, at least not easily. It would require decimals and that's not worth the time. Instead you can use the quadratic formula to solve for x, which works for any quadratic equation:

[tex]\frac{-b + or - \sqrt{b^{2} - 4ac} }{2a}[/tex]

a being the x^2 coefficient

b the x coefficient

and c the constant

here a = 21

b = -55

c = -14

let's solve this one:

You can simply input this into a calculator to find the answer, or you can work it out mentally.

= 2.852740993

Now, since this is a quadratic we need to possible values of x. So we just redo the same formula, but this time with a negative square root:

[tex]\frac{-(-55) - \sqrt{(-55)^{2} - 4(21)(-14)} }{2(21)}[/tex]

= -0.2336933736

You can round these answers however you like, but I would recommend doing to either 3 significant figures, either 2 or 3 decimal places.

Answer:

[tex]\displaystyle [7x - 2][3x - 7][/tex]

Step-by-step explanation:

Find two quantities that when summed to 55, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus sign because the B-value is −55, therefore 49 gets the minus sign, leaving 6 with the plus sign. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:

[tex]\displaystyle 21x^2 - 55x + 14 \\ \\ [21x^2 + 6x] - [49x + 14] \\ 3x[7x - 2] - 7[7x - 2] \\ \\ \boxed{[7x - 2][3x - 7]}[/tex]

I am joyous to assist you at any time.

**For all you moderatours out there, this user made a typographical errour with the symbol of the C-value. It was supposed to be 14, not −14. BELIEVE ME.

Answer:

[tex]9 - 4m = 19 \\ 4m = 9 - 19 \\ 4m = -10 \\ m = \cancel{\frac{-10}{4} } \\ \\ m = \frac{-5}{2} \\ \\ m = - 2.5[/tex]

hope helpful~

Answer:

m=-2.5

Step-by-step explanation:

Answer:

61.875

length 3

width 2.5

hight 8.25

It would be A.15ft

Step-by-step explanation:

Answer:

The width is 8 meters.

Step-by-step explanation:

30-6=24

24/3=8

width=8 meters

Each of the terms here (64, a^3, b^15, c^6) have a cube root.

The cube root of 64 is 4, the cube root of a^3 is a, the cube root of b^15 is b^5, and the cube root of c^6 is c^2.

You end up with the square root of 4 times a times b^5 times c^2

√4ab⁵c²

Answer:

If the rational number is ab then, te reciprocal is ba

Step-by-step explanation:

Suppose that rational number is ab

Then, the reciprocal of that number is ba

Step-by-step explanation:

let the first number be x

let the second number be y

½ of the first number= ½x

Double the second; 2*y=2y

the sum... that is ½x+2y=14

The equation that could represent this description will be (1/2)x + 2y = 14.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

Diego then says, If we take half of the first number (x) and double the second (y), the sum is 14. Then the equation is given below.

(1/2)x + 2y = 14

The equation that could represent this description will be (1/2)x + 2y = 14.

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Answer: Total surface area of cuboid = 312 sq m

Step-by-step explanation:

Let the length of the cuboid be " X "

Then the breadth of it will be X/4

and the hight of it will be X × 2/3

So the volume will be

= L × B × H

= X × X ÷4 × X× 2÷3

2 X ^ 3

= --------------

12

X^3

= ------------- = 288

6

X^3 = 288 × 6 =1,728

X = cuberoot 1,728

= 12

Length 12

Breadth 12÷4 = 3

Hight 12 × 2 ÷3 = 8

Total surface area of cuboid

= 2 LB +2 BH +2 LH

= 2× 12× 3 + 2× 3 × 8 + 2× 12 × 8

= 312 sq m

Answer:

Nicholas.

Step-by-step explanation:

2/3 is also 10/15

3/5 is also 9/15

10/15 is more, so 2/3 is more

Hope this helped :D

Answer:

Nick, drank 1/15 more

Step-by-step explanation:

1. Create Equation

2/3-3/5

2. Solve

2/3-3/5

10/15-9/15

1/15

Answer:

Step-by-step explanation:

Rule

The sin of any angle = cos(90  -  the angle used for the sine)

Sin(64) = cos(90 - 64)

Sin(64) = cos(26)

Check

Sin(64) = 0.8988

Cos(26) = 0.8988

sin (90-x)=cos (x) ( Trigonometry Indentity)

So, sin (90-26)= cos (26) = sin (64)

Cosine and Sine values appear to be related complementary, as in the above answer. If you’ve seen the pattern such as

cos (0) = sin (90)

cos (30) = sin (60)

cos (45) = sin(45)

cos(60) = sin (30)

cos (90) = sin (0),

The sum of the angles equal 90 degrees.

Answer:

A = $129,659.95

Step-by-step explanation:

the equation used for compound is  A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.

A = 81,200.00(2.71828)^(0.036)(13)

Answer:

13

Step-by-step explanation:

6x2=12+13=25-15=10+3=13

The height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.

What is Pythagoras theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples.

Here, length of ladder (Hypotenuse) is 39 ft

         distance from building (base) is 31 ft.

By Pythagoras Theorem,

[tex]Hypotenuse^{2} = perpendicular^2 + Base^2[/tex]

[tex]39^2 = P^2 + 31^2[/tex]

[tex]P^2 = 39^2 - 31^2[/tex]

[tex]P^2 = (39+31)(39-31)[/tex]

[tex]P^2 = 70 X 8[/tex]

[tex]P = \sqrt{560}[/tex]

P = 23.6 ft ≈ 24 ft.

Thus, the height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.

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Answer:

first question : solve for m: multiply both sides by n

m/n=p

m*(n)/n=p*n

m= p*n

Step-by-step explanation:

to solve for m in the first part, you have to get rid of the extras next to m. in this case because m is divided by n, if we multiply both sides by n, both n on the m side will cancel out n/n=1 . this will leave m*1= n*p

because we can ignore the coefficient 1, the solution of ot will give you m=n*p

this also answers the question that's asked in the first place. in the first question, you have to multiply both sides by n in order to get the answer.