what is the missing number in the
sequence -10,-6, -2,_ 6, 10?​

ANSWER

EXPLANATION

To find the surface area of the triangular pyramid given, apply the formula:

First, we have to find the slant height of the pyramid by applying Pythagoras theorem:

where l represents the slant height.

Solve for l in the equation above:

Now, find the surface area of the pyramid:

That is the answer.

Let length of wire be x

\(\\ \tt\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}\)

\(\\ \tt\Rrightarrow cos80=\dfrac{50}{x}\)

\(\\ \tt\Rrightarrow x=\dfrac{50}{cos80}\)

\(\\ \tt\Rrightarrow x=50/0.17\)

\(\\ \tt\Rrightarrow x=294ft\)

Answer:

☑ Length of wire is approximately 288 ft

☑ Height of antenna is approximately 284 ft

Step-by-step explanation:

» Length of the wire (hypotenuse):

• From trigonometric ratios;

\({ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos(80 \degree) = \frac{50}{length} }} \\ \\ { \tt{length = \frac{50}{ \cos(80 \degree) } }} \\ \\ { \boxed{ \tt{l = 287.9 \: ft}}}\)

» Height of antenna:

\({ \tt{ \tan( \theta) = \frac{opposite}{adjacent} }} \\ \\ { \tt{ \tan(80 \degree) = \frac{height}{50} }} \\ \\ { \tt{h = 50 \times \tan(80 \degree) }} \\ \\ { \boxed{ \tt{h = 283.6 \: ft}}}\)

Answer:

30.8 degrees

Step-by-step explanation:

cosx = \(\frac{8.5}{9.9}\)

x= \(cos^{-1}\)\(\frac{8.5}{9.9}\)

= 30.8 degrees (nearest tenth of a degree)

Answer:

Calm down jamal don't go pulling out the nine

Step-by-step explanation:

this is just a joke

The area of the triangle is 52.32 square units

from the question, we have the following parameters that can be used in our computation:

The triangle (see attachment)

The base of the triangle is calculated as

base = 12 * tan(36)

The area of the triangle is then calculated as

Area = 1/2 * base * height

Where

height = 12

So, we have

Area = 1/2 * base * height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 12 * tan(36) * 12

Evaluate

Area = 52.32

Hence, the area of the triangle is 52.32 square units

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We follow the inclusive rule, The answer to the question is (A) that is

if y>=10 and y <=50

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.

The intervals used are:

(a , b) , All the numbers between a & b without including them.

[a, b] , All the numbers between a & b including them.

y lies in [10,50].

And since it means that it includes 10 and 50 and all the numbers between them.

The final answer is (A) that is if y>1=10 and y <=50.

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Answer:

Step-by-step explanation:

37 percent

Answer:

Step-by-step explanation:

25% i think

Answer:

+70%

Step-by-step explanation:

as more than 7 people wants the building so the probability is 70%

hope it helps you

please mark me as brainlist

Answer:

length x width x height

l x w x h

Option A: The same line

The slope-intercept form of the equation of a line can be written as:

y = mx + c

Where m is the slope

and c is the intercept

Let us express the two equations given in the slope-intercept form

For the first equation:

y - 3 = 2(x - 3)

y - 3 = 2x - 6

y = 2x - 6 + 3

y = 2x - 3

The slope, m = 2

The intercept, c = -3

For the second equation:

y + 5 = 2(x + 1)

y + 5 = 2x + 2

y = 2x + 2 - 5

y = 2x - 3

We can see that both equations simplify to y = 2x - 3, this means the both equations represent the same line

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer: The notebook is worth 2.79

Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:

7 x 3 = 21

21 / 100 = 0.21

3 - 0.21 = 2.79

Hope this helps :)

Answer:

The answer is 11.8

Step-by-step explanation:

The value of x and y is 12.2 and 11.8 respectively.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question.

We have a right angled triangle.

In which one angle is 44 degrees and hypotenuse is 17 units.

Here,

With respect to angle 44 degrees the adjacent side is x and the opposite side is y.

Therefore,

Sine of 44 degrees is given by

\(sin44^{o} = \frac{opposite\ side }{Hypotenuse}\)

\(\implies sin44^{o} = \frac{y }{17}\)

\(\implies 0.6946 = \frac{y}{17}\)

\(\implies 0.6946 \times 17 = y\)

\(\implies y = 11.80\)

\(\implies y = 11.8\)

And, tangent of 44 degrees is give by

\(tan 44^{o} = \frac{opposite \ side }{adjacent \ side }\)

\(\implies tan44^{o} = \frac{y}{x}\)

\(\implies tan44^{o} = \frac{11.8}{x}\)

\(\implies 0.9657 = \frac{11.8}{x}\)

\(\implies x = \frac{11.8}{0.9657}\)

\(\implies x = 12.22\)

\(\implies x = 12.2\)

Therefore, the value of x and y is 12.2 and 11.8 respectively.

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65, 78, 91, 104

To find out how to get the next 4 multiples of the same number, you would subtract the numbers you already have from each other.

You would take 52 - 39, and you would get 13.

Then you would take 39 - 26 and get also get 13.

See the pattern?

52 - 39 = 13

39 - 26 = 13

26 - 13 = 13

Each of the numbers subtracted from each other equals 13, that means to get the next set of numbers you would add 13 on to the previous number.

52 + 13 = 65

65 + 13 = 78

78 + 13 = 91

91 + 13 = 104

Hope this helps! :)

Answer:

.83

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

Dependent is the y-axis and independent is the x-axis. So your answer is F.

Hope this helps, thank you !!

The solution for this system of equation is x = 3 and y = 2.

By Substitution Method:

When using the Elimination method,

The equations are :

3x - y = 7

2x + y = 8

here in both equations y has the same cofficient with different sign so, we can simply use Elimination methord by adding both equation .

We get ,

3x + 2x = 7+8

⇒ 5x = 15

⇒ x = 3

Now,

3x -y  = 7

⇒ 3*3 - y = 7

⇒y = 2

The solution for this system of equation is x = 3 and y = 2.

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The solution for this system of equation is x = 3 and y = 2.

What is Substitution and Elimination methord of Solving Equation ?
Resolve ONE of the x or y equations. If one of the equations has previously been solved for x or y, this step can be avoided.

Substitute the outcome for that variable in the other equation.

Either all x terms or all y terms will now make up the new equation. Fix the variable's place in the equation.

To obtain the alternative answer, plug the solution back into the beginning equation (the one you used to solve for x or y).

When using the Elimination method,

Start by aligning the x- and y-coordinates on the same side of the equation.

Whichever you decide to remove, find a common multiple for the Xs OR the Ys.

To enable the addition of the equations, make one of those multiples negative.

One of the variables will be removed when the equations are combined. Give the variable that is still present its final solution.

To determine the other number, enter your response from step four into either of the equations.

The equations are :
3x - y = 7
2x + y = 8
here in both equations y has the same cofficient with different sign so, we can simply use Elimination methord by adding both equation .
We get ,
3x + 2x = 7+8
⇒ 5x = 15
⇒ x = 3
Now,
3x -y  = 7
⇒ 3*3 - y = 7
⇒y = 2

The solution for this system of equation is x = 3 and y = 2.

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Answer:

The third one

Step-by-step explanation:

The key signature is 2 therefore it has to be worth 2 beats.

The first 2 and last one lasts only 1 beat.

Therefore, you are only left with the third one that lasts 2 beats.

Hope this helps :)

Answer:

It is the spot where sons raise meat.

Answer:

This equation has no solutions. So your answer is the last one!

Step-by-step explanation:

Answer:

The correct answer is D. none.

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.

a) Confidence (C) = 99% = 0.99

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576

The margin of error (E) is given as:

\(E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7\)

The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)

Hence the 99% confidence interval is between 203.75 and 221.15.

b) The population mean is the same as the sample mean. Hence the population mean = $212.45

Answer:

$1082

Step-by-step explanation:

10% of $984

10/100 ($984)= $98.4

Earnings = ($98.4+$984)

Earnings = $1082.4

Earnings = $1082 (to the nearest cent)

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

value of what?

Step-by-step explanation:

I don't see the question

SOLUTION:

Step 1:

In this question, we are meant to solve the following:

45%of what is 81?

Step 2:

Let the unknown number be x, such that:

Cross-multiply, we have that:

CONCLUSION:

The final answer is:

Answer:

Your answer will be 2

Step-by-step explanation:

Hope this help you alot

Answer:

19 6/8 or 19 3/4

I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.

Answer:

m = 2, c = 1

Explanation: In the y = mx + b (or y = mx + c) format, the m is the slope of the line and the c/b is the y-intercept, or where the line crosses the y-axis. If we substitute the information from the given equation, y = 2x + 1, into the general formula, we know that the m is 2 and c is 1.

Answer:

(3/13) = -1 ≡ 3^6 (mod 13)

Step-by-step explanation:

We can use Euler's criterion theorem to prove or disprove the statement.

Euler's criterion states that for an odd prime p and integer a not divisible by p,

a^((p-1)/2) ≡ (a/p) (mod p)

where (a/p) is the Legendre symbol. If (a/p) = 1, then a is a quadratic residue modulo p, and if (a/p) = -1, then a is a quadratic non-residue modulo p.

In this case, we have p = 13 and a = 3. Therefore, we need to evaluate:

3^6 ≡ (3/13) (mod 13)

To evaluate (3/13), we need to use the properties of the Legendre symbol. First, we note that:

(3/13) ≡ (-1/13) (3/13)

since (-1/13) = (-1)^((13-1)/2) = 1 by Euler's criterion. Next, we use the quadratic reciprocity law to simplify (-1/13):

(-1/13) = (-1)^((13-1)/2) * (13-1)/2 = 1

Therefore, we have:

(3/13) ≡ (-1/13) (3/13) ≡ 1 * (3/13) ≡ (3/13)

So we need to evaluate (3/13) to determine if it is equal to 1 or -1.

To do this, we can use the quadratic reciprocity law again:

(3/13) = (13/3) * (-1/3)

Since 13 ≡ 1 (mod 3), we have:

(13/3) = (1/3) = 1

Since 3 ≡ 3 (mod 4), we have:

(-1/3) = -1

Therefore, we have:

(3/13) = (13/3) * (-1/3) = 1 * (-1) = -1

So (3/13) = -1.

Therefore, the statement is true, and we have:

(3/13) = -1 ≡ 3^6 (mod 13)