Find the perimeter of the figure below.

​Figure not drawn to scale

(the question is formatted a bit weird, but I'm assuming the third statement is meant to be '1/3 of the number is a square number'. If not, let me know and I'll adjust my answer accordingly)

Answer:

The number is 27

Step-by-step explanation:

Let the number be called x.

10% of x is greater than 1 but less than 7. Written mathematically, this is 1<0.1x<7. Multiply this by ten to get 10<x<70.

1/3 of x is a square number. The squares 4, 9, and 16 are the only squares that satisfy this statement, because the if the square was 1, x would be 1, which doesn't fit x>10, and if the square was 25 or higher, x would be greater than 70, which doesn't fit x<70.

x isn't a multiple of six. If the square is 4, x is 12, which is a multiple of six so this doesn't work. If the square is 16, x is 48, which is a multiple of six too, so this doesn't work. But if the square is 9, x is 27, which isn't a multiple of six and satisfies the statement.

Double check that x=27 is a valid answer.

Is 27 a whole number between 1 and 100? Yes

Is 10% of 27 greater than 1 and less than 7? Yes (10% of 27 is 2.7)

Is 1/3 of 27 a square number? Yes (1/3 of 27 is 9, which is the square of 3)

Is 27 not a multiple of 6? Yes (27 isn't divided evenly by 6)

Therefore, the number is 27.

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

_____

It can help to keep in mind what the square of a binomial looks like:

  (x -a)² = x² -2ax +a²

The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².

Answer:

16

Step-by-step explanation:

The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

Answer:

11 students brought both a pen and a pencil

Step-by-step explanation:

59 students brought a pen or pencil or both

48 + 22 = 70

70-59 = 11

11 students brought both a pen and a pencil

Answer:

z(min)  = 1400

x = 3

y = 2

Step-by-step explanation:

Formulation:

Let´s call

x number of running hours of process 1

y number of running hours of process 2

Then Objective Function to minimize is:

z  =  400*x  + 100*y

Constrains:

Subject to

Demand constraint ( by type of brews)

300*x  + 100y ≥ 1000

100*x + 100*y ≥ 500

100*x ≥ 300

General constraint

y≥0     Note that we already have  x≥= (in the third constraint)

By using the on-line slver we find:

z (min) = 1400 $

x = 3

y = 2

Answer:

50

Step-by-step explanation:

there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even

Step-by-step explanation:

the point (7,-10) is located in 1 at quadrant

Answer:

Quadrant 4

Step-by-step explanation:

To find this out, simply get a coordinate plane and plot the coordinate point.

OR

You can remember this formula for coordinate points:

Quadrant 1: (x,y)

Quadrant 2: (-x,y)

Quadrant 3: (-x,-y)

Quadrant 4: (x,-y)

Point (7,-10) has a positive x-coordinate and a negative y-coordinate. This means it belongs in quadrant 4.

Step-by-step explanation:

There is a difference between the numbers that is 6

So...

y=6x+5

Answer:

6x+5

Step-by-step explanation:

1 x 6=6+5=11

Answer:

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Explanation:

I'll presume you're looking for the angle which the vector makes with the

x

-axis.

We use our old friend

tan

for this.

tan

θ

=

y

x

⇒

θ

=

tan

−

1

(

y

x

)

⇒

θ

=

tan

−

1

(

−

3

4

)

=

tan

−

1

(

−

0.75

)

⇒

θ

=

−

0.64

⇒

θ

≈

−

36.67

°

Because

tan

−

1

can only return angles between -90° and +90° (that is, in

Q

IV

or

Q

I

), we then check which quadrant the point

(

4

,

-

3

)

is in, to confirm whether we can keep this answer or if we need to add 180°.

(

4

,

-

3

)

is in quadrant 4, and so the value given by

tan

−

1

is fine as it is.

The vector

V

=

(

4

,

-

3

)

is at an angle of

−

36.67

°

to the positive

x

-axis.

Answer:

A right triangle is always an isosceles triangle.An equilateral triangle is never an obtuse triangle.

Answer:

A right triangle is always an isosceles triangle.

Step-by-step explanation:

Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2

Step-by-step explanation:

We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.

Answer:

Perimeter: 95+15*sqrt(3)=120.98

Area: ([45*sqrt(5)]/2) + 600=605.3

Answer:

6g-27=3

6g=30 add 27 on both sides

g=5 divide by 6

final answer is 5

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 1/3 must be divided into fourths

Step-by-step explanation:

Answer:

i don't get what i should do its all messed up

Step-by-step explanation:

Answer:

h = 14 units

Step-by-step explanation:

area of parallelogram = bh

plug everything in: 84 = (6)h

h = 84/6 = 14

Answer:

Robot truck robot

truck robot truck

robot robot robot

truck truck truck

Step-by-step explanation:

Answer:

A reduction of 450ml

Step-by-step explanation:

Given

[tex]V_1 = 200ml[/tex] -- To glass 1

[tex]V_2 = 250ml[/tex] --- To glass 2

Required

The final change to the carton

To do this, we simply add V1 and V2

So, we have:

[tex]Total = V_1 + V_2[/tex]

[tex]Total = 200ml + 250ml[/tex]

[tex]Total = 450ml[/tex]

This implies that the changes is a reduction of 450ml

Answer:

1 ..................or 1/1

Answer:

-1 is the slope

..................

Answer:

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

We have:

Substitute values and solve for b:

Find a and c:

The sides are: 7, 9, 13

Answer:

The first answer is $4.97. The second answer is 1 over 16.

Step-by-step explanation:

For the first question you have to subtract the money that the total price, $26.73 from the money that she has, $21.76 and you will get the find the difference that she needs.

For the second question think about it as mulitplying one quarter 4 times. So 1 multiplied four times still remains one and 4 x 4 is 16.

Answer:

160 sq. uits

Step-by-step explanation:

160 sq. uits é a resposta

Answer:

you need to insert the graph's picture lol

Step-by-step explanation:

Answer:

Decimal: 9.45 Fraction: 236.35/25

Step-by-step explanation:

sorry if the fraction one is wrong.

Answer:

29.12

Step-by-step explanation:

91 ×35/100 =2912/100

so 29.12

Answer:

 can put this solution on YOUR website!

margin of error is t(0.995 df=67)*s/sqrt(n)

t=2.65

the margin of error is 2.65*885/sqrt(68)=$284.40

Answer:

0.2389 = 23.89% probability that Yuki's time is faster than Zana's.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Yuki's times in this race are normally distributed with a mean 80 seconds and standard deviation of 4.2 seconds. Zana's times are also normally distributed with a mean of 85 seconds and a standard deviation of 5.6 seconds.

Yuki's is faster than Zana if the subtraction of Yuki by Zana is larger than 0.

The mean is:

[tex]\mu = 80 - 85 = -5[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{4.2^2 + 5.6^2} = 7[/tex]

Find the probability that Yuki's time is faster than Zana's.

This is P(X > 0), which is 1 subtracted by the pvalue of Z when X = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-5)}{7}[/tex]

[tex]Z = 0.71[/tex]

[tex]Z = 0.71[/tex] has a pvalue of 0.7611

1 - 0.7611 = 0.2389

0.2389 = 23.89% probability that Yuki's time is faster than Zana's.