10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number

Answer:

1164

Step-by-step explanation:

The person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

As per the given figure, the length of the hypotenuse is the distance the person would walk, and the lengths of the other two sides are 264 feet and 900 feet.

Using the formula for the Pythagorean theorem, we can set up the following equation:

c² = a² + b²

where c is the length of the hypotenuse, a is the length of one of the other sides, and b is the length of the remaining side.

In this case, we can substitute the known values for a, b, and c to get:

c² = 264² + 900²

c² = 69696 + 810000

c² = 879696

c = √879696

c = 937.92110

Rounded to the nearest whole foot.

c = 938 feet

Thus, the person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

84°

Step-by-step explanation:

angles in a quadrilateral add to 360°. 360-(114+76)=5x =170°. 170°/5 = 32°. x=32°

angles on a straight line add to 180°.

2x = 64°. 180-64=116°. y=116°.

y-x = 116-32 = 84°

Answer:

[tex]78[/tex]

Step-by-step explanation:

The inner angles of a quadrilateral all add up to 360. This means we can write the following

[tex]114 + 76 + 3x + 2x = 360\\190 + 5x = 360\\5x = 170\\x = 34[/tex]

Now that we have x we can find y. Notice that y and 2x are on the same line. Any line cutting another straight line will create two angles that add up to 180.

Therefore we can write

[tex]2x + y = 180\\2(34) + y = 180\\y = 112[/tex]

Finally computing y - x

[tex]y - x = 112 - 34 = 78[/tex]

Answer:

a) Degree of 2; non-linear

b) Degree of 1; linear

Step-by-step explanation:

a) The degree is the highest power of the variable in the given equation:

Given  y = x^2 + 2x + 1

From the given equation, we can see that the highest power of x is 2. Hence the degree of the equation is 2.

Any equation with degrees of 2 and above is a non-linear equation. Hence the equation is a non-linear equation

b) For the equation 3x + 3y = 6

Divide through by 3

x + y = 2

From the given equation, we can see that the highest power of x and y is 1. Hence the degree of the equation is 1.

Any equation with a degree of 1 is a linear equation. Hence the equation is a linear equation

Answer:

n(AuB)=n(A)+n(B)=18

This is the answer

Use the Pythagorean theorem

? = sqrt(52^2 + 19^2)

? = sqrt(2704 + 361)

? = sqrt(3065)

Answer: sqrt(3065)

Answer:

Here's the answers

Step-by-step explanation:

1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.

2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.

Answer:

x = -10

x = 6

Step-by-step explanation:

hope this helps:)

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

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

---------------------------

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

x = 23.9965714046732

That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

Using the slope concept, it is found that the base of the treehouse is 24 feet from swingset.

In this problem:

Hence:

[tex]\tan{30.26^{\circ}} = \frac{14}{x}[/tex]

[tex]0.5834 = \frac{14}{x}[/tex]

[tex]x = \frac{14}{0.5834}[/tex]

[tex]x = 24[/tex]

The base of the treehouse is 24 feet from swingset.

You can learn more about the slope concept at brainly.com/question/18090623

Answer:

The first row

Step-by-step explanation:

Letters A,B,C,D

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

Explanation:

Check out the diagram below to see where the lines of symmetry are located.

For the letter A, we have a vertical line through the center that is the mirroring line. Reflecting one half over that line generates the other half.

For letter B, we have a horizontal line through the center. This applies to letters C and D as well.

This is why answer choice 1 is the final answer.

-----------

For letter Z, we have neither a vertical nor a horizontal mirror line. This letter doesn't have any lines of symmetry (though it does have rotational symmetry). So we can rule out answer choice 2.

Letter N is pretty much the same idea as letter Z. There aren't any lines of symmetry but we do have rotational symmetry. So we can rule out answer choice 3.

Lastly, we can rule out answer choice 4 because letter S has the same properties as letters Z and N.

Answer:

cos^2(θ)

Step-by-step explanation:

Answer:

should be 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

F. 5/7 chance

G. 9/14 chance

H. You did not mention a blue color in the question.

Answer:

g) a) 11/14

f) 9/14

h) 12/14

Step-by-step explanation:

Probability is just the amount of the specified object over the total amount of objects.

Amount of Red : 2

Amount of Orange: 5

Amount of Green: 3

Amount of Brown: 4

Total: 14

*Formula: (Specified Object)/(Total)*

F) Chances of Red or Orange or Green

=(2+5+4)/14

=11/14

G) NOT be orange

*Formula: (Total)-(Specified)/(Total)*

=(14-5)/14

=9/14

H) NOT blue or red

*Formula: (Total)-(Specified)/(Total)*

=14-(2+0) (*There is a 0 there because the question asked to solve for blue pencils as well, and there are 0 blue pencils*)

= 12/14

Answer:

Step-by-step explanation:

The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45

The angle in the right triangle is given as 52.

The cos(52) = adjacent side (which we just found to be 6) / y

Multiply both sides by y

y cos(52) = 6

cos(52) = 0.6157

Divide by sides by cos(52)

y = 6 / cos(52)

y = 6 / 0.6157

y = 9.76

Answer:

We can write a ratio between two quantities, x and y, as:

x to y.

To find if two ratios:

"a to b" and "c to d" are equal, we need to see if the quotientes:

a/b and c/d are equal.

Here we know that the ratios are:

4 apples to 5 strawberries, this gives the quotient 4/5 = 0.8

7 apples to 9 strawberries, this gives the quotient 7/9 = 0.78

So the quotients are different, which means that the ratios are not equal.

Now we want to see who used a greater ratio of apples to strawberries.

notice that in the numerator we used the number of apples, so as larger is the quotient, larger is the ratio of apples to strawberries.

We can see that the quotient of Angie is larger, then Angie used the greater ratio of apples to strawberries.

Answer:

-2/3

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:

[tex]\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}[/tex]

Answer:

The correct answer would be A. 4

By using the given functions, you can simplify g(3) and you'd get your answer.

Answer:

Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?

Step-by-step explanation:

12 + c = 13.50

OpruonnA seems to be the best, hence, Breaking down in real world terms :

13.50 = total cost

Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume

Cost of perfume = 12

Cost of flowers = c

Total cost of items = $13.50

Answer:

[tex]58.99[/tex]

Step-by-step explanation:

[tex] \tan(61) = \frac{o}{a} \\3.74 = \frac{x}{17} \\ x = 17 \times 3.74 \\ = 58.99[/tex]

On the last option, since you can substitute y=3x+1 into the other equations to solve for x.

Answer:

H

Step-by-step explanation:

Let represent A and B

A and B is the sum of the first 50 consecutive multiples of 3 and 6, this is the same as a arithmetic sequence because arithmetic sequences have a common sum.

We can represent this as

[tex]a _{n} = a {}^{1} + d(n - 1)[/tex]

where a^1 is the first term, d is the common sum, n is the number of multiples we adding.

The first term for both A and B respectively is 3 and 6.

Multiples implies that the Difference between A and B are 3 and 6 respectively. There are 50 consecutively. multiples.

Plug in the known parts for both.

[tex]3 + 3(49) = 150[/tex]

[tex]6 + 6(49) = 300[/tex]

We need to what percent of find 150% of 300.

B is twice as A, so this means that we need to multiply 2 by it original or 100% of it self.

[tex]2 \times 100 = 200[/tex]

So 200% is the answer.

If you're trying to establish an identity, the given equation is not an identity. The proper identity would be as follows:

(1 - sin(x) + cos(x))² = (1 - sin(x))² + 2 (1 - sin(x)) cos(x) + cos²(x)

… = (1 - 2 sin(x) + sin²(x)) + 2 (1 - sin(x)) cos(x) + cos²(x)

… = 2 - 2 sin(x) + 2 (1 - sin(x)) cos(x)

… = 2 - 2 sin(x) + 2 cos(x) - 2 sin(x) cos(x)

… = 2 (1 - sin(x) + cos(x) - sin(x) cos(x))

… = 2 (1 - sin(x) + cos(x) (1 - sin(x)))

… = 2 (1 - sin(x)) (1 + cos(x))

But if you're trying to solve an equation:

(1 - sin(x) + cos(x))² = 2 (1 + sin(x)) (1 + cos(x))

2 (1 - sin(x)) (1 + cos(x)) = 2 (1 + sin(x)) (1 + cos(x))

(1 - sin(x)) (1 + cos(x)) - (1 + sin(x)) (1 + cos(x)) = 0

(1 + cos(x)) (1 - sin(x) - 1 - sin(x)) = 0

-2 sin(x) (1 + cos(x)) = 0

sin(x) = 0   or   1 + cos(x) = 0

sin(x) = 0   or   cos(x) = -1

[x = arcsin(0) + 2nπ   or   x = arcsin(0) + π + 2nπ]   or

… [x = arccos(-1) + 2nπ]

We have arcsin(0) = 0 and arccos(-1) = π, so the solution set reduces to

x = 2nπ   or   x = (2n + 1)π

(where n is any integer)

[tex]\boxed{\sf tan\Theta=\dfrac{P}{B}}[/tex]

[tex]\\ \sf\longmapsto tan\Theta=\dfrac{13}{46}[/tex]

[tex]\\ \sf\longmapsto tan\theta=0.2[/tex]

[tex]\\ \sf\longmapsto tan\theta=\dfrac{\sqrt{3}}{6}[/tex]

[tex]\\ \sf\longmapsto 3tan\theta=tan60[/tex]

[tex]\\ \sf\longmapsto \theta=\dfrac{60}{3}[/tex]

[tex]\\ \sf\longmapsto \theta=20°[/tex]

Answer:

Parthava had 100 arrows.

Step-by-step explanation:

Let's define N as the number of arrows that Parthava originally has.

He uses one-half of them in defending himself, so he used N/2 arrows

Now he uses four times the square root of the number of arrows, so now he uses:

4*√N

Then he uses 6

Then he uses 3

Then he uses the last one.

If we add all these numbers of arrows that he used, we should get the initial number of arrows that he used, then:

N/2 + 4*√N  + 6 + 3 + 1  = N

Now we have an equation that we can try to solve.

First, let's move all the terms to the same side:

N/2 + 4*√N + 6 + 3 + 1 - N  = 0

now we can simpify it:

(N/2 - N) + 4*√N + (6 + 3 + 1) = 0

-(1/2)*N + 4*√N + 10 = 0

Now we can define a new variable x = √N

Then we have: x^2 = N

now we can replace these new variables in our equation to get:

-(1/2)*x^2 + 4*x + 10 = 0

Now we just have a quadratic equation.

Remember that for a quadratic equation of the form:

0 = a*x^2 + b*x + c

The solutions were given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a}[/tex]

Then in our case, the solutions will be:

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4*(-1/2)*10} }{2*(-1/2)} = \frac{-4 \pm 6 }{-1} = 4 \pm 6[/tex]

So there are two solutions:

x = 4 + 6 = 10

x = 4 - 6 = -2

And remember that x = √N

Then x should be positive, then we take x = 10 as our solution here.

then we can use the equation:

x = 10 = √N

then

10^2 = √N^2 = N

10^2 = 100 = N

Parthava had 100 arrows.

Answer:

-8

Step-by-step explanation:

Solve the brackets first

4/2x+28=12

then group the like terms

2x=12-28

2x/2=-16/2

x= -8

i hope this helps

Answer:

1/2x + 7=12/4=3

1/2x = 3-7=-4

x=-4/0.5

x=-8