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Bingel [31]
2 years ago
15

alec is climbing a 14 foot ladder where the rungs are 3/4 of a foot apart. there is one foot of space on each end of the ladder

before the first and last rung. How many rungs are on the ladder that alec is climbing including the first and last one?
Mathematics
1 answer:
Aleks [24]2 years ago
6 0

Answer:

Alec is climbing 17 rungs on the ladder of 14 feet ( including first and last rung ) .

Step-by-step explanation:

Given:

Length of the ladder = 14 foot

Distance between Rungs in ladder =  \frac{3}{4}

There is one foot of space on each end of the ladder before the first and last rung .  

To Find:

Number of  rungs are on the ladder =?

Solution:

Let us assume there are 3 rungs. Between 3 rungs there will be two spaces. between four rungs there will be 3 spaces , so between n + 1  rungs there will be n spaces.

Given that length of the ladder = 14 feet

There is one foot of space on each end before the first and last rung.

So length of the ladder between first and last rung = 14 – 2  ( 1 foot of each side) = 12 feet

As distance between each rung = \frac{3}{4}

Number of  \frac{3}{4}  spaces in ladder of 12 feet =\frac{( 12)}{\frac{3}{4}}

Number of  \frac{3}{4}  spaces in ladder of 12 feet=   \frac{(12\times4)}{3}

Number of  \frac{3}{4}  spaces in ladder of 12 feet=\frac{(48)}{3}

Number of  \frac{3}{4}  spaces in ladder of 12 feet =16

And as for n spaces there will be n + 1 rungs, so for 16 spaces there will be 16 + 1 = 17 rungs.

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Pls answerrr (i will mark as brainlist)
Firdavs [7]

Answer:

Hope the below answer is easy to understand

Step-by-step explanation:

1)  Given the four angles of a quadrilateral are in the ratio 1:2:3:4

Then Let the angles are x,2x,3x and 4x

We know that total of  four angles of a quadrilateral =360 °

∴x+2x+3x+4x=360 °

⇒10x=360 °

⇒x=36  °

hence the measures of  angles are 36  ° ,72  ° ,108 °  ,144  °

2) Measure of interior angle of a polygon= 180°.

Sides of the polygon = 7 sides

Therefore,

Interior angle of the polygon having 7 sides = 180/7 = 25 5⁄7°

3 0
2 years ago
(6ab-8a+8) - (7ab-1 )
PSYCHO15rus [73]

Answer:

- ab - 8a + 9

Step-by-step explanation:

(6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\  - ab - 8a + 9

hope this helps you.

4 0
2 years ago
Read 2 more answers
express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 2 π , 4 π ]
Lemur [1.5K]

The limit as a definite integral on the interval $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π , 4π] is $\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$.

<h3>What is meant by definite integral?</h3>

A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.

Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.

If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.

Let the equation be

$\int_a^b f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^n f\left(x_i\right) \Delta x$

substitute the values in the above equation, we get

= $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π, 4π],

simplifying the above equation

$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$

To learn more about definite integral refer to:

brainly.com/question/24353968

#SPJ4

8 0
1 year ago
Which is the best estimate of -14 1/9 (-2 9/10)?<br>-42<br>-28<br>28<br>42​
andrew-mc [135]
-42 is the best estimate
5 0
2 years ago
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The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to
Mariana [72]

Answer:

The answer to your question is The cost to raise a child from birth to 17 years in a household is $194119.

Step-by-step explanation:

Equation

                      y = 1.55x + 110,419

Annual income = $54,000

To solve this problem just substitute the annual income and simplify to find the cost.

                    y = 1.55(54,000) + 110419

Simplify

                    y = 83700 + 110419

Result

                    y = $194119

3 0
3 years ago
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