the diagram shows a scale drawing of a playground. The scale of the drawing is 1:500. Work out the perimeter. Give answer in metres

Answer:

80° is the correct answer

Step-by-step explanation:

The angle B is 100° because of the property of  the vertically opposite angle.

As we know the property consecutive interior angle that the sum of two angle is 180°

So

Angle B + Angle X  =180°

100 °+ Angle X =180°

Angle X=180°-100°

Angle X = 80°

Answer:

P(Take the bus | Sophomore) = 0.83

Step-by-step explanation:

For a conditional probability (As given in the example),

P(A|B) is read as,

"The probability of event A occurring given that event B has occurred"

Here event A = Sophomore take a bus

Event B (occurred) = (Drive to school + Take the bus + Walk)

Therefore, P(Take a bus | Sophomore) = [tex]\frac{25}{(2+25+3)}[/tex]

                                                                = [tex]\frac{25}{30}[/tex]

                                                                = 0.833

                                                                ≈ 0.83

P(Take the bus | Sophomore) = 0.83 will be the answer.

Answer:

Step-by-step explanation:

Pattern 6 will have 35

Answer:

[tex]y=\dfrac{1}{8}x^2+1[/tex]

Step-by-step explanation:

Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

[tex]y=\dfrac{1}{8}x^2+1[/tex]

Hope this helps!

Answer:

y = one eighth x^2 + 1

Step-by-step explanation:

i took the test and got it right

Answer:

153.9 ft²

Step-by-step explanation:

The area for a circle formula is πr².

Using the radius, we get:

π×7² =

49π ≈

153.938 ≈ (Using the π key)

153.9 ft²

Answer:153.86

Step-by-step explanation:area of a circle is πr square

That is 3.14×49

=153.86

Answer:

A and C

Step-by-step explanation:

A. \

(4.0 x 5.0)(10^3 x 10^5)

20 x 10^8

2.0 x 10^9

B. doesn't work, do not understand last number

C.

(2.1 + 2.7) (10^5 + 10^5) since powers are the same, do not need to change anything

4.8 x 10^5

D.

(3.1 - 2.7) (10^5 - 10^2) since powers are not the same, you need to make them equal

Do not need to subtract powers, hence D is untrue

Answer:

Moving 4 to the right on the x axis

Step-by-step explanation:

Answer: 8 times

Step-by-step explanation:

Youre essentially doing 3 divided by 3/8.

3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.

[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]

There are eight (8) 3/8’s are in 3

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Answer: B

Step-by-step explanation:

For this problem, we can use Integration by Parts to find f(u).

∫(ln u) du                 x=ln u             dx=1/u du

                               dv=du               v=u

u(ln u)-∫u(1/u)du

u(ln u)-∫1 du

u(ln u)-u+C

Looking at the placement of f(u), we know that f(u) is u (underlined above).

Answer:

2.75

Step-by-step explanation:

3/4 is .75 in decimal

Answer:

Number of cookies sold in March= 46

Number of cookies sold in April= 92

Step-by-step explanation:

Number of cookies made in Feb= 2×14= 28

Number of cookies sold in Feb= 28-5= 23

Number of cookies sold in March= 2× number of cookies sold in Feb

Number of cookies sold in March= 2× 23= 46

Number of cookies sold in April= 46×2= 92

Answer:

Step-by-step explanation:

The 2 smaller triangles are proportionate to one another because they are 2 parts of the same larger triangle. Setting up the proportion, one triangle at a time:

[tex]\frac{x}{8.3} =\frac{11.6}{6.7}[/tex] and cross multiply to get

6.7x = 96.28 so

x = 14.37 or 14.4, choice A.

Answer:

The answer is C.

Step-by-step explanation:

You have to square both sides :

[tex] {x}^{2} = 27[/tex]

[tex]x = ± \sqrt{27} [/tex]

Then, you have to simplify it :

[tex]x = ± \sqrt{9 \times 3} [/tex]

[tex]x = ±( \sqrt{9} \times \sqrt{3} )[/tex]

[tex]x = ±( 3 \times \sqrt{3} )[/tex]

[tex]x = ±3 \sqrt{3} [/tex]

Answer:

Option C) x = ±[tex]3\sqrt{3}[/tex]

Step-by-step explanation:

=> [tex]x^2 = 27[/tex]

Taking sqrt on  both sides

=> x = ±[tex]\sqrt{27}[/tex]

=> x = ±[tex]\sqrt{3 * 3*3}[/tex]

=> x = ±[tex]3\sqrt{3}[/tex]

Answer:

54.56

Step-by-step explanation:

Given:

Mean, u = 48

Standard deviation, [tex] \sigma[/tex] = 4

Test score = 5%

Required:

Find the raw score, X.

Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.

Thus, [tex] Z_0_._9_5 = 1.64[/tex]

To get X, use the formula:

[tex] mu + z * \sigma [/tex]

= 48 + (4 * 1.64)

= 48 + 6.56

= 54.56

The anxiety test score that would put someone in the top 5% is 54.56

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:

[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]

Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

[tex]3x=2ax\\4=a^2+b[/tex]

So, using the first equation and solving for a, we get:

[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]

Finally, replacing the value of a in the second equation and solving for b, we get:

[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]

Answer:

Side a is 35/5=7 inches long

Side b is 30/5=6 inches long

Side c is 15/5=3 inches long

Answer:

Step-by-step explanation:

You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.

I hope I've helped you.

Answer: yes this statement is true All functions are relations,but not all relations are functions.

Step-by-step explanation:

Its true because if you think of it like this

a function is a output and like the inner circle

and relations is the outer circle.

Hope this helps :)

Answer:

D

Step-by-step explanation:

D is the only answer with the correct distance formula format and the correct numbers inside the parentheses

Answer:

Step-by-step explanation:

Answer:

The equation of the line is y = 2.

Step-by-step explanation:

When a line is horizontal, it's gradient will be 0. So you have to substitute the coordinates into the equation, y = mx + b, to find the b :

[tex]y = mx + b[/tex]

[tex]let \: m = 0 \\ let \: x = 5 \\ let \: y = 2[/tex]

[tex]2 = 0(5) + b[/tex]

[tex]b = 2[/tex]

[tex]y = 2[/tex]

Answer:

it would be Y=2 as it's a horizontal line at y=2

Answer:

27 smoothies

Step-by-step explanation:

if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)

Answer:

X = 2

Step-by-step explanation:

Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.

Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]

By substituting the measures of the sides in the expression,

[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]

15(x + 10) = 180

x + 10 = 12

x = 12 - 10

x = 2

Therefore, for the given similar triangles value of x = 2

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.

Given that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:

Therefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.

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Answer:

The answer is 2.

Step-by-step explanation:

3 - 2 = 1

7 - 5 = 2

2 x 1 = 2

[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

70 degrees

Step-by-step explanation:

Answer:

70 that my answer and so they can reach

The square root of 81/625 = 0.36

The square root of x^2 = x

The square root of y^2 = y

25 x 0.36 = 9

X *x = x^2

Y*y = y^2

Final answer = 9x^2y^2

Answer:

The answer is option d. 9x²y²

Step-by-step explanation:

25xy√81/625x²y²

= 25xy × 9/25xy

= 9x²y²

Hope this helps.

Answer:

Let the first equation be x + y = 10

x = 10 -y

2nd equation will be 1x + 1.2y = 11

Substituting in 2nd equation

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

.2y = 1

y = 5

If y = 5, x = 5: coz x + y = 10

She have buy 5 stamps of each $1 stamps and  5 stamps of each $1.20 stamps.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Let the first equation be;  

x + y = 10

x = 10 -y

2nd equation will be,

1x + 1.2y = 11

Substituting in 2nd equation;

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

0.2y = 1

y = 5

If y = 5, x = 5:

x + y = 10

Hence, She have buy 5 stamps of each $1 stamps and  5 stamps of

each $1.20 stamps.

Learn more about linear equations;

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