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tankabanditka [31]

4 years ago

6

A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°. How high does the ladder rea

ch up the side of the building? (Round your answer to four decimal places.)

1 answer:

Karolina [17]4 years ago

4 0

Answer:

The height of the ladder above the ground is 25.4306 ft

Step-by-step explanation:

The length of the ladder represents the hypotenuse of the right angle triangle.

The ground distance from the base of the building to the foot of the ladder represents the adjacent side of the right angle triangle.

Therefore, to determine how high up is the top of the ladder from the ground,x which represents the opposite side of the right angle triangle, we would apply trigonometric ratio,

Sin θ = opposite side/hypotenuse

Sin 78 = x/26

x = 26Sin78 = 26 × 0.9781

x = 25.4306 ft

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Drag each tile to the correct box. not all tiles will be used.

lana66690 [7]

Answer:

$y=\frac{13}{6}x$ $y= \frac{11}{5}x$ $y = \frac{21}{9}x$ $y = \frac{19}{8}x$

Step-by-step explanation:

Given

The attached graph

Required

Equations with higher unit rate

First, calculate the unit rate of the graph

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1.y_1) = (0,0)$

$(x_2.y_2) = (7,15)$

So:

$m = \frac{15 - 0}{7 - 0}$

$m = \frac{15}{7}$

$m = 2.143$

For the given options.

The unit rate is the coefficient of x

So: $y = \frac{19}{8}x$

Going by the above definition of unit rate.

$m = \frac{19}{8}$

$m = 2.375$

$y = \frac{27}{13}x$

$m = \frac{27}{13}$

$m = 2.077$

$y = \frac{21}{9}x$

$m = \frac{21}{9}$

$m = 2.333$

$y= \frac{11}{5}x$

$m= \frac{11}{5}$

$m= 2.20$

$y = \frac{15}{7}x$

$m = \frac{15}{7}$

$m = 2.143$

$y = \frac{31}{15}x$

$m = \frac{31}{15}$

$y = 2.067$

$y=\frac{13}{6}x$

$m=\frac{13}{6}$

$m=2.167$

The unit rates grater than the graph's from small to large are:

$y=\frac{13}{6}x$ $y= \frac{11}{5}x$ $y = \frac{21}{9}x$ $y = \frac{19}{8}x$

$m=\frac{13}{6}$ $m= \frac{11}{5}$ $m = \frac{21}{9}$ $m = \frac{19}{8}$

4 0

3 years ago

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zmey [24]

Answer:

the percent of increase is 24%

Step-by-step explanation:

The percent of increase in general could be calculate as:

$\frac{Vf - Vi}{Vi} *100$

where Vf is final value and Vi is initial value.

From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:

$\frac{31-25}{25} *100=24%$

That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.

6 0

4 years ago

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n200080 [17]

The answer would be c hope that helped

8 0

3 years ago

at a particular school 50% of students travel by bus. if this represents 600 children how many children attend the school

hichkok12 [17]

Answer:

1200 students at the school

Step-by-step explanation:

Let x be the total number of students at the school

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x*50% = 600

Changing to decimal form

.50x = 600

Divide each side by .5

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stira [4]

Answer:

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Step-by-step explanation:

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3 years ago

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