determine the value of x

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=l/11[tex]\sqrt{2}[/tex] (do cross multiplication)

l[tex]\sqrt{2}[/tex]=11[tex]\sqrt{2}[/tex]

l=11[tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

l=11

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , then

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 6 )

x = 6[tex]\sqrt{3}[/tex] → D

Answer:

35 or -35

Step-by-step explanation:

i have no idea what u mean by value, so it's either 35, because of absolute value, or -35.

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hope it helps

Answer:

Ask properly! Question is not clear!

Answer:

Step-by-step explanation:

x^2+x-20

=x^2-(5-4)x-20

=x^2-5x+4x-20

=x(x-5)+4(x-5)

=(x-5)(x+4)

therefore the other factor is (x+4)

Answer:

(x - 4)

Step-by-step explanation:

METHOD 1 (Long Division Method):-

[See the attachment for full solution of Method 1]

One factor of x² + x - 20 is already given. To find the other factor , divide the polynomial with the factor and the quotient you'll get after dividing will be the second factor of the polynomial.

METHOD 2 (Factorising) :-

Factorise x² + x - 20.

[tex]=> x^2 + 5x - 4x - 20[/tex]

[tex]=> x(x + 5) - 4(x + 5)[/tex]

[tex]=> (x + 5)(x - 4)[/tex]

(x + 5) & (x - 4) are the factors of x² + x - 20.

Answer: 12

Step-by-step explanation: The mean is basically the average. So, start by lining up the numbers from smallest to largest. 1, 3, 4, 8, 14, 18, 19, 19, 22. Then, add them all together. You get 108. Then, divide 108 by the number or numbers in the data set, which in this case is 9. So 108 divided by 9 = 12. Your answer is A. --> 12

Hope that helped!!

Answer:

17.50

Step-by-step explanation:

you really don't need to know the tax amount.

20% of x = 3.50

(20/100) x = 3.50  Divide top and bottom of the left number by 20

(20÷20) / (100÷20)  *  x = 3.50

(1/5) x = 3.50           Multiply both sides by 5  

x = 3.50 * 5

x = 17.50

The meal cost 17.50

HOPE THIS HELPS

Answer:

8

Step-by-step explanation:

4³ ÷ 2³

= 64 ÷ 8

= 8

Answer:

1st One: 12

2nd One: 27.3

Step-by-step explanation:

Both shapes- from what I can see- are right triangles. This means each shape is 90 degrees. If you subtract the given number by 90, you'll have your missing value :)

Answer:

2-Angle V= 90-78=12°

4-Angle Y= 90-62.7=27.3°

Answer:

B)

Step-by-step explanation:

to get the converse, interchange the hypothesis and conclusion

in this case the hypothesis is "if it is snowing" and the conclusion is "then it is my birthday"

Converse would then be "If it is my birthday, then it is snowing"

Answer:

148

Step-by-step explanation:

First, sort the list in order from smalles to largest:

101, 106, 110, 112, 117, 124, 132, 139, 148, 152, 167

There are 11 numbers in the list, so the median is the 6th number, 124.

The third quartile (Q3) is in the middle of the right-hand half:

132, 139, 148, 152, 167

Answer:

Expected number of winners with 52 contestants:52*5/13 = 20.The experiment result is almost twice less (12 vs 20).In order to change the results of experimental probability some of the letters may need swapped, (probably the letters are in alphabet order) but for this we need more data.

Step-by-step explanation:

Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times. Theoretical probability is probability that is determined on the basis of reasoning. Probability is a value between (and including) zero and one.

also whats your discord

Answer:

-3/2

Step-by-step explanation:

Answer:

c. 29.3 cubic mi

Step-by-step explanation:

Applying,

V = πr²h/3.............. Equation 1

Where V = volume of the cone, r = radius of the circular base, h = height of the cone, π = pie

From the diagram,

Given: h = 7 mi, r = 2 mi

Constant: π = 3.14

Substitute these values into equation 1

V = 3.14(7×2²)/3

V = 29.3 cubic mi

Hence the right answer is c. 29.3 cubic mi

Answer: Por ejemplo, un televisor podría costarle originalmente $ 5000. Determine el porcentaje de descuento: en nuestra tienda de ejemplo, todo tiene un 75% de descuento. La suma que queda en su bolsillo, sus ahorros, es simplemente estos dos valores multiplicados entre sí: 75% * $ 5000 = 0,75 * $ 5000 = $ 3750.

Answer:

3/5

Step-by-step explanation:

there are 5 cards and chances of picking 4 or 7 which are three cards (since there are two 7s) gives u a probability of 3/5 or 60% chance.

Answer:ik i am late but it is 4.4 for the people that need it now

Step-by-step explanation:

Answer:

Mike will only need 42 quarters to make 10.50

Step-by-step explanation:

Answer:

A (Option 1)

Step-by-step explanation:

Answer:

A

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

It is Quantitative.

Step-by-step explanation:

Quantitative data is information about quantities; information that can be measured with numbers.

Qualitative data describes qualities or characteristics; information collected using questionnaires, interviews, or observation, and frequently appears in narrative form.

Examples:

It is 25° Celcius today. - Quantitative

I drooled after smelling freshly baked cookies. - Qualitative

Tips:

Think of Quantitative as Quantity; numbers.

Think of Qualitative as Quality; description/characteristics.

Answer:

1

Step-by-step explanation:

1. To get the slope, you need to divide the rise by the run.

2. Pick two points each on the X-axis and pick corresponding points on the Y axis and then name them y2, x2 and y1, x1.

3. The rise will be y2-y1

4. The run will be x2-x1

5. Therefore, the slope is rise/run = (y2-y1)/(x2-x1)

In this case, let's take 2 on the X axis as x2 and the corresponding point on the Y axis  as y2 which in this case happens to also be 2.

Now, let's take 1 on the X axis as x1 and the corresponding point on the Y axis  as y1 which is also 1.

now using the formula (y2-y1)/(x2-x1), we get: slope = (2-1)/(2-1) = 1

Answer:

15.08 m

Step-by-step explanation:

The angle XZW :

XZW + 108° = 180°

XZW = 180° - 108°

XZW = 72°

Length of an arc = θ / 360 * πd

d = diameter = XV = 24

Length of arc XW = (72/360) * π * 24

Length of arc XW = 15.0796

Length of XW = 15.08 m

Answer:

15.08

Step-by-step explanation:

Answer:

6 + 6 + 6 + 6= 24

Step-by-step explanation:

ad four sixes

Answer:

7 pies

Step-by-step explanation:

The first customer buys half of the pies (3-1/2) plus 1/2 of a pie (technically 4 pies in total) -----> there are 3 pies left.

The second customer buys half of the pies leftover (1-1/2) plus another 1/2 (technically 2 pies in total) -----> this leaves 1 pie.

The last customer buys half of the pies leftover (1/2) plus another 1/2 (technically 1 pie in total) -----> this leaves 0 pies.

=========================================================

Explanation:

The quotient is the result after a division problem.

As another example, we would say that 9 is the quotient of 27 and 3 because 27 ÷ 3 = 9

We can use the slash symbol / to mean division. So we could say 27/3 = 9

Going back to the answer, we could rewrite j ÷ 9 as j/9

The order is important. This means j ÷ 9 is different from 9 ÷ j which represents "the quotient of 9 and j".

Answer:

18 cm

Step-by-step explanation:

Since the pyramids are similar then the ratio of corresponding sides are equal, that is

12 ÷ 4 = 3

Then the height of the larger pyramid is 3 times the height of the smaller.

height of larger pyramid = 3 × 6 = 18 cm

Answer:

4 hours

Step-by-step explanation:

If it took them together with a total of 6 hours and Oliver is half as fast meaning Jose is faster it will take Jose 4 hours.

A simple equation is

6= 4+2

And the 2 would be Oliver since Oliver is half as fast.

Answer:

Area = B x H + L (sum of sides of triangle)

        = 9 x 12 + 10 (12 + 15 + 9)

        = 108 + 360

        =[tex]468in^2[/tex]

Either your options are wrong or question is to find lateral surface.

Lateral Surface area = ( a + b + c) x H , where a, b , c are sides of the triangle.

Lateral Surface Area = (12 + 15 + 9) x 10

                                =[tex]360in^2[/tex]                    

Answer:

(a) Output = 37

(b) Input = 9

Step-by-step explanation:

Given

[tex]y =x5 - 3[/tex]

Solving (a): Output, when input = 8

This means that, we solve for y when x = 8

So, we have:

[tex]y =x5 - 3[/tex]

[tex]y =8*5 - 3[/tex]

[tex]y =40 - 3[/tex]

[tex]y = 37[/tex]

Solving (b): Input, when output = 42

This means that, we solve for x when y = 42

So, we have:

[tex]y =x5 - 3[/tex]

[tex]42 = x5 - 3[/tex]

Collect like terms

[tex]x5 = 42 + 3[/tex]

[tex]x5 = 45[/tex]

Divide both sides by 5

[tex]x = 9[/tex]