Find the value of
81^-1/2

Answer:

a = 84°

b = 36°

c = 24°

d = 84°

e = 132°

Step-by-step explanation:

The parameters of the workers in the office are;

The number of staffs in the office = 60 staffs

The take-aways are pizza, curry, fish & chips, kebab and other

The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively

The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively

In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;

∠a = 360° × 14/60 = 84°

∠b = 360° × 6/60 = 36°

∠c = 360° × 4/60 = 24°

∠d = 360° × 14/60 = 84°

∠e = 360° × 22/60 = 132°

The act of factoring is to reduce numbers down to their prime number.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

A prime number is a positive integer having exactly two factors that are 1 and the number itself. Any number that does not follow this is termed a composite number.

For example:

Let the number 2310, then the factor of the number 2310 will be

2310 = 2 × 3 × 5 × 7 × 11

Where, 2, 3, 5, 7, and 11 are the prime numbers.

The act of factoring is to reduce numbers down to their prime number.

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Answer:

A or D your choice

Step-by-step explanation:

[tex] {tan}^{ - 1} = \frac{opp}{adj } = \frac{15}{6} [/tex]

[tex] = 68.2 \: degrees[/tex]

Answer:

The first six terms of the sequence [tex]f\left(n\right)=\left(-3\right)^n[/tex] are:

[tex]-3, 9, -27, 81, -243, 729[/tex]

Step-by-step explanation:

Given the sequence

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

Here [tex]n[/tex] represents any term number in the sequence

Determining the first term

substitute n = 1 in the sequence to determine the first term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]\:f\left(1\right)=\left(-3\right)^1[/tex]

[tex]f\left(1\right)=-3[/tex]

Thus, the first term is -3.

Determining the 2nd term

substitute n = 2 in the sequence to determine the 2nd term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]\:f\left(2\right)=\left(-3\right)^2[/tex]

[tex]\:f\left(2\right)=9[/tex]

Thus, the 2nd term is 9.

Determining the 3rd term

substitute n = 3 in the sequence to determine the 3rd term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]f\left(3\right)=\left(-3\right)^3[/tex]

[tex]f\left(3\right)=-27[/tex]

Thus, the 3rd term is -27.

Determining the 4th term

substitute n = 4 in the sequence to determine the 4th term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]f\left(4\right)=\left(-3\right)^4[/tex]

[tex]f\left(4\right)=81[/tex]

Thus, the 4th term is 81.

Determining the 5th term

substitute n = 5 in the sequence to determine the 5th term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]f\left(5\right)=\left(-3\right)^5[/tex]

[tex]f\left(5\right)=-243[/tex]

Thus, the 5th term is -243.

Determining the 6th term

substitute n = 6 in the sequence to determine the 6th term

[tex]f\left(n\right)=\left(-3\right)^n[/tex]

[tex]f\left(6\right)=\left(-3\right)^6[/tex]

[tex]f\left(6\right)=729[/tex]

Thus, the 6th term is 729

Therefore, the first six terms of the sequence [tex]f\left(n\right)=\left(-3\right)^n[/tex] are:

[tex]-3, 9, -27, 81, -243, 729[/tex]

Step-by-step explanation:

formula to find area of a triangle:

A=1/2 × base × height(h)

insert the values into the formula:

24=1/2 × 4 × h

solve for h :

24=2h

24/2=h

h = 12 cm ( Ans )

The height of triangle will be 12 cm.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle has a base length of 4 cm.

And, A total area of 24 cm².

Now,

We know that;

Area of right triangle = 1/2 × Base × Height

⇒ 24 = 1/2 × 4 × h

⇒ 24 = 2 × h

⇒ h = 24 / 2

⇒ h = 12 cm

Thus, The height of triangle = 12 cm.

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Answer:

y+3 = -2(x)

Step-by-step explanation:

The equation of the line that passes through the points

(5,-5) and (-5,-1)  is  y=-2/5x-3.

Answer:

The first one

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

It's gonna be an irrational number because the length of the hypotenuse is 6.40312....... cm

[tex] {4}^{2} + {5}^{2} = {41}^{2} [/tex]

[tex] \sqrt{41} = 6.403124237[/tex]

An irrational number cannot be written as a simple fraction and the decimals would keep on going without a pattern (if it was repeating, it would be rational).

Answer:

If the legs are equal to 4 cm and 5 cm, respectively we can rewrite the equation 42+52=c2 -> 16+25=41=c^2 so then, c= the square root of 41, which is an irrational number.

Hope this helps!

6983245455445

it's correct

Answer:

The amount saved in June is;

$(2x + 4)

Step-by-step explanation:

Here, we want to get the amount saved in June

From the question, she saved $5 more than twice here usual amount

twice here usual amount is 2 * x = $2x

So, adding the extra $4; the amount saved will be;

2x + 4

Answer:

C

Step-by-step explanation:

Visit the site tigeralgebra.com and type in the expression  

Answer:

Emily has 5 apples!!!

Step-by-step explanation:

Ok,

Let the apples Emily has be 'x'

Now,

× + 25= 30

Transpose 25 to RHS

× = 30-25

× = 5

Therefore, Emily has 5 apples :D

Hope it helps!!!

Answer:

16.5

Step-by-step explanation:

A is the correct answer

Step-by-step explanation:

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.

but 16.5 is the answer

The (45,3) and (30,0) are the correct-ordered pairs that correspond to input-output pairs for the function.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given the function:

y = 5t +30,

Here y is the no of gallons and t is the time.

Take the values of option A and substitute in the function,

45 = 5 × 3 +30

45 = 45

Hence, it is the correct-ordered pair,

Similarly, take option b

3 = 45 × 5 +30

3 ≠ 255

Now take option c,

0 = 30 × 5 +30

0 ≠ 180

Take the last option,

30 = 0 × 5 +30

30 = 30

Hence, it is also the ordered pair.

Therefore, the (45,3) and (30,0) are the correct-ordered pairs that correspond to input-output pairs for the function.

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Answer:

1.444444444444444444? I tried

Answer:

X= -2

Y= 8

im not sure if thats the way u needed

Answer:

It has to start on 5 and then go to 0, or else not all of the numbers will go in the knight move pattern.  

We have 5034927618 and 5038167294, plus their opposites (the same number backwards). So only 4 numbers can be formed.

Step-by-step explanation:

Answer:

Use the formula to find the geometric mean.

√

4

⋅

6

Multiply

4

by

6

.

√

24

Rewrite

24

as

2

2

⋅

6

.

Tap for more steps...

√

2

2

⋅

6

Pull terms out from under the radical.

2

√

6

Approximate the result.

4.89897948

The geometric mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

4.9

Answer:

37°

Step-by-step explanation:

(4x + 2)° = 150° [Vertically Opposite Angles]

=> 4x = 150 - 2

=> 4x = 148

[tex] = > x = \frac{148}{4} [/tex]

=> x = 37° (Ans)

Angle (4x+2)° and angle 150° are vertically opposite angles so, their measures will be equal.

Which means :

[tex] =\tt 4x + 2 = 150[/tex]

[tex] =\tt 4x = 150 - 2[/tex]

[tex] = \tt4x = 148[/tex]

[tex] =\tt x = \frac{148}{4} [/tex]

[tex]\hookrightarrow \: \color{plum}x = 37[/tex]

Let us check whether or not we have found out the correct measure of x by placing 37 in the place of x:

[tex] =\tt 4 \times 37 + 2 = 150[/tex]

[tex] = \tt148 + 2 = 150[/tex]

[tex] =\tt 150 = 150[/tex]

Since the measures of both the angles are equal we can conclude that we have found out the correct value of x.

Thus, the value of x in this figure = 37

Therefore, the correct option is (A) 37.

Answer:

b

Step-by-step explanation:

Answer:

B. dependable

Step-by-step explanation:

well good luck

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

1/1

Step-by-step explanation:

cause i just did it llamo

Answer:

24 pounds

Step-by-step explanation:

Step 1: Find out how many pens he bought

12 pens per pack

Charles bought 60 packs

60 packs x 12 pens = 720 pens

Step 2: Find out how much Charles spent

2.80 per pack

Charles bought 60 packs

60 x 2.80 = 168 pounds

Step 3: Find out how many pens Charles sold

Charles sold 2/3 of his pens

2/3 x 720 = 480

Step 4: Find out how manypens he sold

Charles sold the pens for 40p

40p x 480 = 19200p

Step 5: Convert pences to pounds

19200p = 192 pounds

Step 6: Find the profit

192 - 168 = 24 pounds

Step 7: Therefore statement

Therefore he mad 24 pounds of profit

Answer:

What is the measure of angle J?

42 degrees

Which side of AMNO corresponds to JK?

MO

What is the ratio of the larger triangle to the smaller triangle?

2/1

Answer:

answer goes as follows

Step-by-step explanation:

1: b

2: a

3: c