Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5 m de la pared, ¿a qué altura de la pared llega la escalera? Expresa el resultado con radicales extrayendo todos los factores posibles.

Answer: - 63

Step-by-step explanation:

An arithmetic progression is such that the N-th element is equal to:

An = A1 + (n-1)*R

where A1 is the first term, and R is the difference between two consecutive terms.

We know that

A1 + 9*R = -37

and

A1 + (A1 + R) +  (A1 + 2R) +   (A1 + 3R) +  (A1 + 4R) +  (A1 + 5R) = -27

6*A1 + R(1 + 2 + 3 + 4 + 5) = -27

6*A1 + 15*R = -27

so we have two equations:

6*A1 + 15*R = -27

A1 + 9*R = -37

Let's find A1 and R.

First, isolate A1 in the second equation:

A1 = -37 - 9*R

now replace it in the other equation and solve it for R.

6*A1 + 15*R = -27

6*(-37 - 9*R) + 15*R = -27

-222 - 54*R + 15*R = -27

-39*R = -27 + 222 = 195

R = 195/-39 = -5

Now we can find the value of A1:

A1 = -37 - 9*R = -37 - 9*-5 = 8

So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.

A7 = 8 + 6*-5 = -17

A8 = 8 + 7*-5 = -22

Sum = -27 -17 - 22 = -63

Answer:

Step-by-step explanation:

A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore

Opposite side = 2/2 = 1 yrd

Slant height, L = hypotenuse

Adjacent side = 2 yrd

Hypotenuse² = opposite side² + adjacent side²

L² = 1² + 2² = 5

L = √5 = 2.24 yrds

Slant height = 2.24 yrds

B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24

Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²

Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²

surface area of composite figure = 20 + 8.96 = 28.96 yrds²

C) volume = 1/3 × base area × height

Volume = 1/3 × 2² × 2 = 2.67 yrds³

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

Answer:

y= 61/4

Step-by-step explanation:

-y=-14-5/4

-y=-61/4

-1(-y=-61/4)

y= 61/4

Answer:

1:3

Step-by-step explanation:

Down arrows: 4 out of 12

4:12

1:3

Answer:

4:12, 4 to 12, or 4/12

Step-by-step explanation:

this is so simple, first see how many down arrows are there

down arrows: 4

then count the total arrows

total: 12

down arrows to total arrows

4:12

Answer:

c

Step-by-step explanation:

Answer:

4.8 dollars for 1 pound super nutty

Answer:

1. ∠A =  71.9°

2. ∠B =  62.9°

3. ∠C = 27.5°

Step-by-step explanation:

By using a calculator, we have;

cos A = 0.31

sin B = 0.89

tan C = 0.52

1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;

∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.

2. For sin B = 0.89, we have;

∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.

3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;

∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.

Answer:

3,500,000

Step-by-step explanation:

Answer:

Sue biked 3,500,000 centimetres.

Step-by-step explanation:

First, multiply 5 km by 7 (days). 5 × 7 = 35 km

Convert the kilometres to centimetres.

There are 100,000 cm in a kilometer, so multiply:

35 × 100,000 = 3,500,000 cm.

Answer:

Add dem

Step-by-step explanation:

Just add dem and u will get our answer

Answer:

4

Step-by-step explanation:

Add 1/8 until, when simplified, it will equal 1/2:

1/8 + 1/8 = 2/8

2/8 + 1/8 = 3/8

3/8 + 1/8 = 4/8 = 1/2

4 1/8 are needed to get 1/2: (4 * 1)/8 = 4/8 = 1/2

There are 7 days in a week.

The probability of being on any one day of the week would be 1/7

So the probability of a persons birthday being on a Sunday would be 1/7

Answer:

WELL THERE 7 DAYS IN THE WEEK

Step-by-step explanation:

Answer:

mean number of hours worked = 32

Step-by-step explanation:

The mean or average of a set of data is the sum of the individual data divided by the number of entries.

Therefore, the mean number of hours worked is calculated as follows:

sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320

Number of entries = 10

mean number of hours worked = sum of the number of hours ÷ Number of entries

mean number of hours worked = 320 ÷ 10 = 32

Answer:

80

Step-by-step explanation:

An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees

Answer:

42

Step-by-step explanation:

6 faces to a cube

each face has area of 7

6*7 is 42

Answer:

42 is correct

Step-by-step explanation:

give the other person brainliest

Answer:

-3

Step-by-step explanation:

and

= -3

What could be the equation of p?

Choose 1 answer:

©

p(x) = 2(6x + 1)(x+3)

©

p(x) = 2(6x – ) (2 – 3)

© p(x) = + (6 +) (+3)

© pla) = = (***) (2-3)

Answer:

p(x) = (5x - 1) (x + 4) (x - 2)

Step-by-step explanation:

Answer: Bea has $30 saved

Step-by-step explanation:

Add 10: 50+10=60

Divide by 2: 60/2=30

Answer:

up

Step-by-step explanation:

a is positive

Correct question:

Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.

Answer: - 2/3

Step-by-step explanation:

Given the following :

Amount of gallon tank can hold = 10

tank drains at a constant rate :

First look tank contains 7 gallons

After 3 minute,

Tank contains 5 gallons

Thus signifies a 2 gallon decrease in volume of water after 3 minutes

Therefore, the rate of change =( change in volume) / time

Rate of change = (final volume - initial volume ) / 3

(5 - 7)/ 3 = - 2/3

Answer:

4/24

Step-by-step explanation:

Answer:

4/24

Step-by-step explanation:

Answer:

its the 3rd one

Step-by-step explanation:

you find which one is smaller and then you go to the next one up

Answer:

36

Step-by-step explanation:

58 times 5 is 290. 290-254 is 36

Answer:

Final price f = 0.85x

Step-by-step explanation:

Let f represent the final price and

x is the original price of the lawn mower

Given;

The hardware store is having a 15% off sale on lawn mowers this weekend;

the final sales price,excluding tax will be equal to the original price minus 15% of the original price.

Final price f = 100% of x - 15% of x

Final price f = x - 0.15x

Final price f = 0.85x

Answer:

WHAT IS THE ANSWER?

Step-by-step explanation:

help mehhh

Answer:

Option given in the top right.

Step-by-step explanation:

If an acute triangle is rotated about a point,

- Angles of the transformed triangle remain unchanged.

If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],

- Measure of sides of the image will be dilated by a scale factor of 0.5.

Therefore, statement that compares ΔABC to ΔA'B'C' will be,

The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.

Option given in the top right is the answer.

Answer:

6

Step-by-step explanation:

Answer:

The answers 6 gorgious

Answer:

202

Step-by-step explanation:

4th answer

Answer:

[tex]1.6[/tex]                                                                                 - written in [tex]2/12/2021[/tex]

Step-by-step explanation:

The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].

So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]

This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.

Answer:

7.4

Step-by-step explanation:

Answer:uhhhhhhhhhhhhhhhhhhh 14

Step-by-step explanation:

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

Answer: 150.80 inches.

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.

Answer:

4/32

Step-by-step explanation:

3/4*1/2=3/8

3/8*1/4=4/32

Answer:

3/32 inch^3

Step-by-step explanation: