4/6 is less than or greater than 4/2

Answer:

20.2 ft

Step-by-step explanation:

First, always draw a diagram to help you solve the problem. (See the picture below). The situation forms a right triangle. We can assume the ground and the house and perpendicular, creating the 90° angle. The ladder is the hypotenuse.

Since we have a right triangle, and we have one missing side, we can solve the problem using the Pythagorean Theorem, which is a² + b² = c². "a" and "b" are the perpendicular sides and the "c" is the hypotenuse.

Assign a variable for the missing side (not the hypotenuse!)

let "b" represent the height the ladder reaches on the house

Use the formula and substitute the other known values. Then, isolate 'b' to solve by doing the reverse operations in the reverse order of BEDMAS.

a² + b² = c²

13² + b² = 24²        Substitute the two known sides.

13² - 13² + b² = 24² - 13²        Subtract 13² from both sides

b² = 24² - 13²        Cancelled out positive 13² on the left side

√b² = √(24² - 13²)        Square root both sides

b = √(24² - 13²)        "b" is isolated because √ and ² are reverse operations

b = √(576  - 169)        Square the numbers inside the bracket. Subtract.

b = √407        Find the square root

b = 20.174241        Round this number to nearest tenth

b ≈ 20.2        Answer in feet units

Remember when rounding, you round either up or down depending on the digit to the right of what you are rounding to.

"The nearest tenth" is rounding to the first decimal. To the right of the first decimal is '7'. Since '7' is "5 or greater" you round up. If '7' was "4 or less", you would round down.

Therefore, the ladder reaches 20.2 feet up the side of the house.

Using the Pythagorean theorem, we find that the ladder reaches approximately 20.2 feet up the side of Denise's house when the base is placed 13 feet away from the building.

Denise is using a 24-feet long ladder and placing the base of the ladder 13 feet away from her house. To calculate how high up the side of her house the ladder reaches, we can use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this scenario, the hypotenuse is the ladder, one side is the distance from the house, and the other side is the height the ladder reaches up the house.

To find the height (h), we can set up the equation: h^2 + 13^2 = 24^2. Calculating further, we get h^2 = 24^2 - 13^2, which simplifies to h^2 = 576 - 169. This gives us h^2 = 407. Taking the square root of both sides, we find that h is approximately 20.2 feet when rounded to the nearest tenth.

Amelia needs [tex]\frac{3}{4}[/tex] stick of butter to make cornbread and apple muffins.

Step-by-step explanation:

Given,

Stick of butter needed to make cornbread = [tex]\frac{1}{2}[/tex]

Stick of butter needed to make apple muffins = [tex]\frac{1}{4}[/tex]

Total stick of butter needed = Cornbread + Muffins

Total stick of butter needed = [tex]\frac{1}{2}+\frac{1}{4}[/tex]

Total stick of butter needed = [tex]\frac{2+1}{4}[/tex]

Total stick of butter needed = [tex]\frac{3}{4}[/tex]

Amelia needs [tex]\frac{3}{4}[/tex] stick of butter to make cornbread and apple muffins.

Keywords: fraction, addition

Learn more about addition at:

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Answer:

It is 94

Step-by-step explanation:

The volume of a cone with a height of 10 meters and a radius of 3 meters is

94 m³.

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

Given, A cone has a radius of 3 meters and a height of 10 meters.

Therefore, The volume of this cone is,

= (1/3)π(3)²×10 m³.

= 30π m³.

= 30×3.14 m³.

= 94.2 m³ or 94 m³.

learn more about cones here :                                      

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Answer:

12/7

Step-by-step explanation:

Answer:

1st option: 60°

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

1st option: 60°

Step-by-step explanation:

Please see attached picture for full solution.

Answer: NO

Step-by-step explanation:

it is not because they have two different variables x and y

and has different constant values +6 and -9

Answer:

(2,8) and (8,32)

Step-by-step explanation:

ratios can be written as x:y or x/y

so look at what is given

(4,16)....4/16 reduces to 1/4

(6,24)...6/24 reduces to 1/4

so the pattern is  ur either dividing y by 4 and getting x....or ur multiplying x by 4 and getting y

and since ur other 2 points given dont have y, we will multiply x by 4 to get y.

(2,y).....lets multiply x, which is 2, by 4......2 * 4 = 8

so ur point is (2,8)

(8,y).....multiply x, which is 8, by 4.....8 * 4 = 32

so ur point is (8,32)

seven is greater than or equal to 30

The area of a triangle is 1/2*b*h so you should be able to do it on your own now

Answer:

[tex]\frac{5}{12}[/tex] [tex]x^{2}[/tex]

Step-by-step explanation:

Area = (base*height)/2

Base = [tex]\frac{5}{6}[/tex] X

Height = X

Area = (X * [tex]\frac{5}{6}[/tex]X)/2 = [tex]\frac{5}{12}[/tex] [tex]x^{2}[/tex]

Answer:

X = 20

Y = -12

so option A is correct

Step-by-step explanation:

since Y value is already given which is

Y = -12 so put in equation

Y = -3/4 x +3

-12- 3 = -3/4 x

-15 = - 3 / 4 x

X= -15 × - 4/ 3

X = -5 × -4

X = 20

Answer:

20,-12 aka (A)

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

36 / 60 = .6

We turn .6 into an percentage which gives 60%

Answer:

60

Step-by-step explanation:

because thunk of 30/60 that is 50 percent then at 6 and you get 60

Answer:

Step-by-step explanation:

2(x-5)+2-3(5-2x)=16​

2x-10+2-15+6x =16

8x-23 =16

8x =39

x = 39/8

Answer: 50%

Step-by-step explanation:

Answer:

If you have four parts. And if 3 are shaded than you answer is 3/4 are shaded. Or maybe 1/4 is not shaded.

Step-by-step explanation:

Answer:

1.5--> Not a probability

1---> Can be a probability

Step-by-step explanation:

The range of the probability of an event is given by 0≤P(E)≤1

The probability of an event E, P(E) cannot be greater than 1.

This means P(E)≠1.5

P(E)=1 could be a probability of an event because it falls within the range.

Probability of an event being 1, means the event is certain to happen.

Answer:

25.13

Step-by-step explanation:

The formula of a circumference of a circle is C= 2x π x r

c = 2x π  x 4 yards

c= 25.13 yards

[tex]\(8 \frac{4}{7}\)[/tex] divided by 15 is equal to [tex]\(\frac{4}{7}\).[/tex]

To divide the mixed number [tex]\(8 \frac{4}{7}\)[/tex] by 15, we first need to convert the mixed number to an improper fraction and then perform the division.

Step 1: Convert [tex]\(8 \frac{4}{7}\)[/tex] to an improper fraction.

[tex]\[ 8 \frac{4}{7} = \frac{(8 \times 7) + 4}{7} = \frac{56 + 4}{7} = \frac{60}{7} \][/tex]

Step 2: Perform the division.

[tex]\[ \frac{60}{7} \div 15 = \frac{60}{7} \times \frac{1}{15} \][/tex]

Now, multiply the numerators and denominators:

[tex]\[ \frac{60 \times 1}{7 \times 15} = \frac{60}{105} \][/tex]

Next, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15:

[tex]\[ \frac{60 \div 15}{105 \div 15} = \frac{4}{7} \][/tex]

Answer:

  20

Step-by-step explanation:

Let Sydney's age be represented by s. Then the sum of the two ages is ...

  s + (s-15) = 25

  2s = 40 . . . . . . add 15

  s = 20 . . . . . . . divide by 2

Sydney's age is 20.

The equation shows how to find the percent increase:

[tex]Percent\ increase = \frac{421-376}{376} \times 100[/tex]

Solution:

Given that,

A town’s population of children increased from 376 to 421 during the past year

To find: percent increase

The percent increase is given by formula:

[tex]\text{Percent increase} = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100[/tex]

From given,

Initial value = 376

Final value = 421

[tex]Percent\ increase = \frac{421-376}{376} \times 100\\\\Percent\ increase = \frac{45}{376} \times 100\\\\Percent\ increase = 11.968 \%[/tex]

Thus the equation is found and solved

Answer: b. 2+2=+=./.'+2009+4=69

Step-by-step explanation:

am pro

Answer:

5^32 mark as brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 hour=60 mins, 50/60=5/6

The answer is 5/6

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The fraction is expressed as 50 over the number of minutes in an hour.

note 1 hour = 60 minutes, thus

fraction = [tex]\frac{50}{60}[/tex] ← divide (cancel ) 50 and 60 by 10

fraction = [tex]\frac{5}{6}[/tex] ← in simplest form

Answer:

14/37

Step-by-step explanation:

P(E) = 23/37

P(not E) = 1 − P(E)

P(not E) = 1 −23/37

P(not E) = 14/37

The probability that the event will not happen is approximately 0.3784 or 37.84%, calculated by subtracting the probability of the event from 1.

In probability, the likelihood of an event occurring and not occurring always adds up to 1. This principle is called the Law of Total Probability.

Given the probability that the event will happen is P(E)= 23/37. To find the probability that the event will not happen, you need to subtract the probability of the event occurring from 1.

So, the probability that the event will not happen, often written as P(E') or P(not E), is calculated as follows:

Therefore, the probability that the event will not happen is approximately 0.3784 or 37.84%.

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Answer:

the answer is 20 percent

Answer:

the answer would be c) 20‰

Step-by-step explanation:

Answer:

x=5/7

Step-by-step explanation:

3(x-2)+7x=1/2(6x-2)

3x-6+7x=6/2x-2/2

10x-6=3x-1

10x-3x-6=-1

7x-6=-1

7x=-1+6

7x=5

x=5/7

Answer:

11764

Step-by-step explanation:

199,988 ÷17 = 11764

Answer:

[tex] \frac{25 {x}^{2} }{5x} \\ = \frac{5 \times 5 \times x \times x}{5 \times x} \\ = 5x[/tex]

Answer:

a) I think Aaron is correct.

Step-by-step explanation:

Aaron and Blake are having a disagreement during math class. Aaron says 0.3838 is a terminating decimal while Blake says it's a repeating decimal.

a) I think Aaron is correct.

b) If we convert the decimal into fraction then this will give

[tex]0.3838 = \frac{3838}{10000} = \frac{1919}{5000}[/tex]

c) So the fraction [tex]\frac{1919}{5000}[/tex] has an exact value of 0.3838 and this does not repeat. Hence, this is a terminating decimal. (Answer)

Answer:

4 people were eating cookies.

Step-by-step explanation:

2/9 of 18 people are eating cookies

= 2/9 × 18

= 2 × 2

=4 people

Therefore 4 people were eating cookies.

Answer:

4

Step-by-step explanation:

2/9=.222222222222 18*.222222222222=4

Determine the y-intercept:

We make the equation 3=-1/2(8)+b

3=-4+b

7=b

Since the y-intercept is b, we have our full equation: y=-1/2x+7

Hope this helped!