All categories

3 years ago

Help me find N and get this right

Mathematics

1 answer:

disa [49]3 years ago

5 0

Answer:

N = 18

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{5}{15}$ = $\frac{6}{N}$ ( cross- multiply )

5N = 90 ( divide both sides by 5 )

N = 18

You might be interested in

It takes 1 gallon of paint to cover 18 fence boards. Assuming you can only buy whole gallons of paint at the store, how many gal

ankoles [38]

Answer:

9 gal

Step-by-step explanation:

150/18

8.333333333333334

if we round that to the greater whole gallon we get 9 gallons

5 0

2 years ago

The exterior angles of an octagon are 42°, 55°, 39°, 20°, 62°, 45°, and 47°. What is the measure of the eighth exterior angle? S

marysya [2.9K]

The sum of exterior angles of a polygon = 360°

Thus, the eighth exterior angle is equal to
360° - (42° + 55° + 39° + 20° + 62° + 45° + 47°) = 50°

6 0

3 years ago

Read 2 more answers

Solve -2(2x + 5) - 3 = -3(x - 1)

statuscvo [17]

Answer:

x = -16

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

2 years ago

A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How

Romashka-Z-Leto [24]

Answer:

4.52secs

Step-by-step explanation:

Given the height of a falling object expressed as;

d=3t+5t^2

If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;

84 = 3t+5t^2

3t+5t^2 - 84 = 0

t = -5±√25-4(3)(-84)/2(3)

t = -5±√25+1008/6

t = -5±32.14/6

t = -5+32.14/6

t = 27.14/6

t = 4.52 secs

Hence it will take 4.52secs for the object to travel 84feet

8 0

2 years ago

Help me find N and get this right​

Help me find N and get this right