Answer the question in the picture

Answer:

Length = 42.7 feet

Step-by-step explanation:

By considering it as right triangle we use trigonometric ratios to find the length of the ladder.

Given angle of elevation and adjacent side. We have to find the hypotenuse.

Trigonometric ratios

[tex]sin \theta = \frac{Opposite}{hypotenuse}\\\\cos \theta = \frac{adjacent }{hypotenuse }\\\\Tan \theta = \frac{opposite}{adjacent}\\ \\[/tex]                       [tex][ \ where \ \theta = 68^{ \circ} \ ][/tex]

To find length of ladder ( or hypotenuse ) :

[tex]cos \theta = \frac{16}{Length \ of \ ladder}\\\\Length \ of \ ladder = \frac{16}{cos 68} = 42.711\\\\[/tex]

Therefore, length of the ladder = 42.7 feet.

To determine The probability of both of these occurring, you would multiply the probability of each together. So, there is a 1/7 chance of the first salesman getting the right key, and 1/6 chance of the second salesman getting the right key. 1/7 x 1/6= 1/42 chance of both occurring.

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: 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.

Step-by-step explanation:

Hey there!

Please look your required answer in pictures.

Hope it helps!

Answer: 280 km

Step-by-step explanation:

[tex]3\dfrac{1}{2} \: hours = 3.5 \: hours[/tex]

S = V × t

V = 80 km/h

t = 3.5 h

S = 80 × 3.5 = 280 km

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:

Answer:

Range = 30

Mode = 80

Median = 90

mean = 87

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:

[tex]\approx 68\%[/tex]

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

Answer:

Step-by-step explanation:

Given:

The squares between 4.9 and 5.1 represent:

Relevant z- scores are:

From the z-score table we get:

The data between these points is:

Answer:

A

Step-by-step explanation:

Answer:

✔ Because the product is always a non-terminating, non-repeating decimal.

Step-by-step explanation:

E 2021

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

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:

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.

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Answer:

3  7/15

Step-by-step explanation:

1 4/5 + 2 2/3 - 16/15

9/5 + 8/3 - 16/15

27/15 + 40/15 - 16/15

52/15 = 3  7/15

Answer:

3 2/5

Step-by-step explanation:

STEP 1: Convert all fractions into improper fractions

9/5 + 8/3 - 16/15

Step 2: pass denominators

(9x3 + 8x5 - 16) / 15

=51/15

Step it into proper mixed number

3 2/5

Answer:

x + 2

Step-by-step explanation: I believe that can help you!

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:

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:

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:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this answer is wrong.

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3  

Step-by-step explanation:

hope this helps! have a great day!

Answer: 1962.5

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

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:

Break-even point is at quantity 220.

Step-by-step explanation:

Given the rent amount that is fixed cost for the store = $550

The average cost of the goods = $3

The average price of the goods = $5.50

Let the total number of break-even items = Q

Thus, total revenue = 5.50 x Q = 5.50Q

At break-even, TR = TC

5.50Q = FC + VC

5.50Q = 550 + 3Q

5.50Q - 3Q = 550

2.50Q = 550

Q = 550 / 2.50

Q = 220

Thus break-even point is at quantity 220.

Answer

Total Length of Wire = Perimter of Pentagon

= 12 × 5 = 60 cm

Perimeter of Rectangle = 2 (l + b)

Given, l = 3/2 b

Therefore,

2(3/2 b + b) = 60

2 (5b/2) = 60

5b = 60

Breadth b = 12 cm

Length l = 3/2 × 12 = 18 cm

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:

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

Answer:

B

Step-by-step explanation:

B

Answer:

the most likely answer is D 1/6

Step-by-step explanation:

Im not 100% sure

but hope this help if so can you mark me brainiest

thank you

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!