A 12-foot ladder is placed 4 feet away from a house as shown.

A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.

What is the value of x, rounded to the nearest degree?

x ≈
°

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

Is this ladder being used safely?

Answers

Answer 1

Answer:

Answer:  x = 71 degrees. Yes, the ladder meets safety standards

Discussion:

The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x".  For this triangle,

cosx = (side adjacent to angle) / hypotenuse

      =  4                                      / 12

      =   1/3

To find "x" take the inverse cosine of each side to find that :

x  is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.

Step-by-step explanation:

HOPE THIS HELPED!

-

Answer 2

Answer: x = 71

yes

Step-by-step explanation:


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What is the equation of the line in slope-intercept form

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Answer:

y = -3/5x - 2

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45 because 12+15+8+5+5=45

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The answer is B.

Step-by-step explanation:

Diameter x Pi = Circumference

8 x 3.14 = 25.12

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B

Step-by-step explanation:

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Yes they are similar using the SSS postulate

Step-by-step explanation:

All sides are in the same ratio!

Another tip is that one triangle is a dilated shape of the other


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Answer:

the square root of 42 is an irrational number. the square root of 42 is.....

Step-by-step explanation:

the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79

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Answer:

true

Step-by-step explanation:

the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place

I agree...................

the radius of a circle is 2 yards. what is the circles area

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4pi or roughly 12.57 yd^2

Use pi r ^2 to find area

34.23 times one year is ....

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Answer:

410.76

Step-by-step explanation:

34.23 * 12= 410.76

1 year = 12 months

410.76

34.23 times 12, because there are 12 months in one year, and the calculator shows 410.76!

Pleas help me with this F(x)=3x-x Find F(10)

Answers

Answer:

f(10) = 20

Step-by-step explanation:

Since the x is defined, you can plug it in, x=10.

Substitute the x with 10, f(10) = 3(10)-10.

Then, simply the equation, f(10) = 20.

The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?

Answers

Answer:

19050 or some other number very close like 19039

Step-by-step explanation:

I took test and got this one right.

Answer:

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Step-by-step explanation:

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Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the Switch?

Answers

Step-by-step explanation:

I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00

Answer:

No

Step-by-step explanation:

Switch=$350 + tax = ???

Liam's Money= $380

350*9/100=tax

tax=$31.50

350+31.50=$381.50

that's how much he would need to pay: 381.50

so:

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Which relationship describes angles 1 and 2? Select each correct answer.
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B) vertical angles
C)supplementary angles
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Answer:

d

Step-by-step explanation:its right

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Answer:

25% on question one

Step-by-step explanation:

For example, on question one, 5 students drink more than half a dozen sodas a week. If there is a total of 20 students you'd divide 5 by 20 and that should be the answer.

Ayudame por favor
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Slope is -1/2
The full equation is
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The slope is -1/2 hope this helps!

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Answer:

i dont know

Step-by-step explanation:

Answer:

i dont know srry

Step-by-step explanation:

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Quinn likes to knit hats and mittens for friends and family. Last fall, she knitted 4 hats and 3 pairs of mittens, which took a total of 56 hours. This fall, she knitted 3 hats and 1 pair of mittens, which took a total of 27 hours. If each hat and each pair of mittens takes the same amount of time to knit, how long does it take Quinn to knit a hat and a pair of mittens?

Answers

Answer:

hats = 5

mittens = 12

Step-by-step explanation:

hats = h

mittens = m

Uknown:

- How many hours per hats

- How many hours per mittens

Known:

- How many hours in total

- How many pairs of mittens made

- How many pairs of hats made

4h + 3m = 56

3h + 1m = 27

3h + m = 27

m = -3h + 27

4h + 3m = 56

4h + 3(-3h + 27) = 56

4h - 9h + 81 = 56

-5h = 56 - 81

-5h = -25

-5h/5 = -25/5

-h = -5

-h/-1 = -5/-1

h = 5

3h + m = 27

3(5) + m = 27

15 + m = 27

m = 27 - 15

m = 12

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3h + 1m = 27

4h + 3m = 56

4(5) + 3(12) = 56

20 + 36 = 56

56 = 56

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27 = 27

A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies?

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Answer:There would be 3 people at the movies.

Step-by-step explanation:

Using the slope​ formula, find the slope of the line through the given points ( 9, 4 ) and ( 4, 4 )

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Answer: 0

Step-by-step explanation: it’s undefined

Answer:

y2-y1 over x2-x1

Step-by-step explanation:

so pick one and make it 1 and pick the other and make it 2 and fill in for x and y.

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Answer:

total score was 2

Step-by-step explanation:

have a good day ;*

Answer:

2

Step-by-step explanation:

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they would need to sell at least 27 bikes

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Answer:

160

Step-by-step explanation:

The number of miles, x, that a cross country athlete can run is represented by the inequality
x+3<15
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Answers

Answer:

That the number of miles is going to be less than 15

Step-by-step explanation:

If you wanted to solve the inequality then the answer would be x<12

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Answers

Answer:

N

Step-by-step explanation:

Since it says y is greater then 1 it would be above the red line.

Then for the next equation, it says that y is less than the equation so it is under the blue line.

Answer: The solution is (4,1)

Step-by-step explanation:

You can tell if it is a solution by looking at the point where the two lines intersect(meet). This is why the solution is (4,1).

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Answer:

180 X 365 = 65700 litres

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Which of these factions are greater than 11/20

Answers

So they have certain numbers we have to pick on the question if not then anything higher will do like 12/20

It takes 2/23 sacks of sugar to fill a canister. Each sack contains 3/4 pound of sugar. What expression can be used to solve for the number of pounds of sugar it takes to fill the canister?

Answers

Given:

1 canister = [tex]\dfrac{2}{23}[/tex] sacks of sugar

1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.

To find:

The expression that can be used to solve for the number of pounds of sugar it takes to fill the canister?

Solution:

We have,

1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.

So,

[tex]\dfrac{2}{23}[/tex] sack = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.

1 canister = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.

1 canister = [tex]\dfrac{3}{46}[/tex] pounds of sugar.

Therefore, the expression [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] is used to solve for the number of pounds of sugar it takes to fill the canister.

Is y=-3x^2+10 a function? Justification?

Answers

I think a function but i am not sure

Find three consecutive natural numbers such that the sum of the first and the second is 15 more than the third

Answers

Answer: 16, 17 and 18

Step-by-step explanation:

Let the consecutive natural numbers be x, x+1, and x+2. We are informed that the sum of the first and the second is 15 more than the third. This will be:

[x + x + 1] = [x + 2] + 15

2x + 1 = x + 2 + 15

2x + 1 = x + 17

2x - x = 17 - 1

x = 16

The numbers are 16, 17 and 18.

Which graph represents the function y = 2x - 2?
4TY
1y
1y
2
2
2
-2
- 2
-2
-2
-2
o
o

Answers

Answer:

The third graph

Step-by-step explanation:

The third graph is the only graph that could represent the equation because it is the only graph where the line goes through the y-intercept, -2. It is also positive, like the equation says the slope should be.

3. Select all answers that would create a dilation.
O (x,y) -----> (2x,4y)
O (x,y) -----> (-2x,-2y)
O (x,y) -----> (92x,2y)
O (x,y) -----> (3x,3y)
O (x,y) -----> (1.2x,1.2y)

Answers

Answer:

Option B,D and E will create dilation.

Step-by-step explanation:

Dilation is the enlarging or shrinking of an element using a common scale factor.

If the same factor is multiplied by the elements, the dilation is created.

Looking at the options:

Option A

O (x,y) -----> (2x,4y)

if we take 2 as common we get  2 (x,2y) not the original coordinates (x,y). So, no dilation.

Option B

O (x,y) -----> (-2x,-2y)

if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.

Option C

O (x,y) -----> (92x,2y)

if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.

Option D

O (x,y) -----> (3x,3y)

if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.

Option E

O (x,y) -----> (1.2x,1.2y)

if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.

So, Option B,D and E will create dilation.

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