find the surface area of the square pyramid

1. 26 ft²

2. 36 ft²

3.40 ft²

4. 56 ft²
​

Answer:

58,+77,+31,+54+,58+,54+,46+,58+,56/9

If the value of the mean is 55.78. Then the standard deviation will be 10.98.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The data set is given below.

58, 77, 31, 54, 58, 54, 56, 58, 56.

Then the mean of the data set will be

Mean = (58 + 77 + 31 + 54 + 58 + 54 + 56 + 58 + 56) / 9

Mean = 502 / 9

Mean = 55.78

Then the standard deviation will be

[tex]\rm SD = \sqrt{\dfrac{(58 - 55.78)^2+(77-55.78)^2 + ..... + (56-55.78)^2 }{9}}\\\\SD = \sqrt { \dfrac{1085.5}{9}}\\[/tex]

On further solving we have

SD = 10.98

If the value of the mean is 55.78. Then the standard deviation will be 10.98.

More about the standard deviation link is given below.

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Answer:

40/5 = 8 per hour

Hope this helped :)

Answer:

AC = 3.76

Step-by-step explanation:

take 70 degree as reference angle

using sin rule

sin 70 = opposite / hypotenuse

0.939 = AC /4

0.939 * 4 = AC

3.756 = AC

3.76 = AC

Answer:

AC = 3,76

Step-by-step explanation:

Sin70 = AC/AB

Sin 70 = AC/4

AC = Sin70×4

AC = 3,76

Answer:

Two sets are equal, if they have exactly the same elements. Example: {a, c, t} = {c, a, t} = {t, a, c}, but {a, c, t} ≠ {a, c, t, o, r}. Example: {x : x is a letter in the word “book”} = {b, o, k}, but {b, o, k} ≠ {b, o, t}.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Please look your required answer in pictures.

Hope it helps!

Answer:

56 tests

Step-by-step explanation:

first find the amount of test he took each week. if we divide 12 by 6 (12 ÷ 6 = 2) we find out that he took 2 tests per week.

So if he continues with the same rate for the next 28 weeks of school, in order to find out how many tests he would have taken, we just need to  multiply 28 by 2 (28 × 2 = 56), which will be equal to 56

hope this helps! if you have any questions, let me know!

Answer:

100+15p < 25p

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

total cost of travelling = cost to rent a bus + total cost of ticket for p persons

100 + 15p

they want to spend less than an average cost of 25 per p people

they want to spend less than 25p

since they dont want to spend less than 25p, < would be used

100+15p < 25p

Step-by-step explanation:

[tex]{x}^{2} - 15x + 26[/tex]

Factorize : What two numbers when added will give - 15 and when multiplied will give 26.

the number is - 13 and - 2

[tex] {x}^{2} - 2x - 13x + 26[/tex]

Factor out x

[tex]x(x - 2) - 13(x - 2) \\ (x - 13)(x - 2)[/tex]

Answer:

(x-13)(x-2)

Step-by-step explanation:

Factoring :

(x-13)(x-2)

[tex]x^2-13x-2x+26[/tex]  combine like terms

Because -13-2 gives you -15 and -13 mutiply -2 gives you positive 26

[tex]x^2-15x+26[/tex]

I hope this helps you

Answer:

4x -5

Step-by-step explanation:

3+2 (2x - 4)

Distribute

3 + 2*2x - 2*4

3+4x - 8

Combine like terms

4x +3-8

4x -5

Answer:

4x - 5

Step-by-step explanation:

3+ 2 (2x) + 2 (-4)

3+4x - 8

Answer:

a) 9 + 3 = 12

b) 5x = (5 x 6 = 30) 30

c) 2x (2 x 3 = 6) = 13

d) 5x (5 x 2 = 10) = 14 + x (10)

Step-by-step explanation:

I hope it is right

Answer:

a. x=9

b. x=6

c. x=3

d. x=10/4

Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

Answer:

True

Step-by-step explanation:

If x = 3, then we can subtitute in 3 for x in the equation;

4x - 2 = 10

4(3) - 2 = 10

12 - 2 = 10

10 = 10

Therefore the answer is True.

Hope this helps!

Answer:

The power is 1.68 W.

Step-by-step explanation:

Voltage, V = 3 V

charge, q = 0.56 C

time, t = 1 s

The power is given by

P = V q/t

P = 3 x 0.56 / 1

P = 1.68 W

Answer:

Range = 30

Mode = 80

Median = 90

mean = 87

Answer:

x=50.7

Explanation

90+38+x+1.3=180

90+38

Add these numbers

=128

128+x+1.3=180

128+x+1.3

Add these numbers

128+1.3=129.3

129.3+x

129.3+x=180

129.3+x

sort elements

x+129.3=180

129.3

convert this to a fraction

1293/10

x+1293/10=180

x+1293/10=180

Move each term from the right to the left side and change a sign of every element

x+1293/10-180=0

x+1293/10-180

subtract these number

1293/10-180=1293/10-1800/10

=-507/10

x-507/10=0

f (x)=x-507/10

a=1

b=-507/10

x-507/10=0

move each number from the left a the right side and change a sign of every element

x=507/10

therefore x=50.7

Answer:

$600

Step-by-step explanation:

2500+625+625+2500=6250

625/6250=.10 or 10%

6000 x .10=600

Store B should be apportioned $600 of the shared $6000 security costs.

To apportion the shared $6000 security costs to each store based on their square footage, we need to calculate the total square footage of all the stores and then determine the proportion of each store's square footage to the total square footage.

[tex]Total square footage = 2500ft^2 (Store A) + 625ft^2 (Store B) + 625ft^2 (Store C) + 2500ft^2 (Store D)[/tex]

[tex]Total square footage = 6250ft^2[/tex]

Now, let's calculate the proportion of Store B's square footage to the total square footage:

[tex]Proportion of Store B = Square footage of Store B / Total square footage\\Proportion of Store B = 625ft^2 / 6250ft^2[/tex]

Now, find the proportion in decimal form:

[tex]Proportion of Store B = 625 / 6250\\Proportion of Store B = 0.1[/tex]

To determine the portion of the security costs for Store B, multiply its proportion by the total security costs:

Portion of security costs for Store B = Proportion of Store B * Total security costs

[tex]Portion of security costs for Store B = 0.1 * $6000\\Portion of security costs for Store B = $600\\[/tex]

Therefore, Store B should be apportioned $600 of the shared $6000 security costs.

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Answer:

B. substitute for X in first equation

53,38

Step-by-step explanation:

x = √15² + 8²

x = √225 + 64

x = √289

x = 17

circle's circumference = π × d

3,14 × 17 = 53,38

Answer:

60

Step-by-step explanation:

straight lines are 180

since all lines are parallel

180 - 120 = 60

For the given set of parallel lines measurement of angle 2 is equals to 60degrees.

" Parallel lines are defined as coplanar lines which do not intersect in the same plane. They are equidistant from each other in the same plane."

According to the question,

Given,

Line 'n' is parallel to line 'm'

Line 's' is parallel to line 't'

As diagram drawn we have,

AB is a part of line 'n'

BC is a part of line 't'

CD is a part of line 'm'

DA is a part of line 's'

From this we get,

AB parallel to CD

BC parallel to DA

Therefore,

ABCD is a parallelogram.

Opposite angles in a parallelogram are congruent we have,

∠1 ≅∠3 = 120°

∠2 and ∠3 are supplementary angles.

⇒∠2 + ∠3 = 180°

⇒∠2 + 120° = 180°

⇒∠2 = 180° - 120°

⇒∠2 = 60°

Hence, for given parallel lines measure of angle2 is equals to 60degrees.

Learn more about parallel lines here

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Answer: 1962.5

Step-by-step explanation:  Just did this question it's right hope this helps

Answer:

∠ LHJ = 55°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ LHJ + ∠ KLH = 180° , that is

∠ LHJ + 125° = 180° ( subtract 125° from both sides )

∠ LHJ = 55°

Answer: Domain: (-inf,inf) Range; [-4,inf)

Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore,  [-4,inf). Also, infinity always has a parenthesis.

771.05 m³ is tge answer brudah !!

Answer:

A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.

Step-by-step explanation:

The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).

Answer:

213

Step-by-step explanation:

(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9

=213

Answer:

Step-by-step explanation:

Ggg

Answer:

1. 70

2. 65

3. 115

4. 65

5. 65

6. 65

7. 65

Step-by-step explanation:

All of them are correct so dont worry

Have a nice day

Answer:

(-7, 3)

Step-by-step explanation:

You already said the point of C is (-5, 2)

Now all we simply do is change the values of each X and Y value respectively.

When moving to the left, the value is subtracted for X.

When moving up the value is added to Y.

-5-2 = -7

2+1 = 3

Answer:

It is going to be -7;3 as I can see on the picture you sent the answer is the first option.

Answer:

the correct answer is C.5

Step-by-step explanation:

(5^1/6)^6=5

Answer:

No

Step-by-step explanation:

For a right triangle, according to the Pythagorean Theorem, the 2 sides squared must equal the hypotenuse squared. ([tex]a^{2} +b^{2} =c^{2}[/tex])

The hypotenuse is the longest side so [tex]13^{2}=169[/tex]

[tex]6^{2}=36\\7^{2}=49[/tex]

36 + 49 does not equal 169