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3 years ago

If a 36-foot tree casts a 28-foot shadow at the same time near by building casts a 70-foot shadow, how tall is the building?

Mathematics

2 answers:

swat323 years ago

8 0

The building is 78 feet tall.

Arada [10]3 years ago

7 0

Actual length / shadow ratio is equal
Let the height of the building be x, then
36/28 = x/70
x = (36 x 70)/28 = 2,520/28 = 90.

Therefore, the height of the building is 90 feet.

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The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a

Kitty [74]

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

8 0

3 years ago

A line is represented by the equation ax+by=6<br><br> a.) when is the line parallel to the x-axis?

ohaa [14]

Hello :
the line parallel to the x-axis if : ( a = 0 and b <span>≠ 0)
for exemple : a = 0 and b= 3 the line has the equation ; y = 2</span>

3 0

3 years ago

a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear speed, in feet per

Yuri [45]

Answer:

The linear speed is $1,130.4\frac{ft}{min}$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=18\ ft$

$\pi =3.14$

substitute

$C=2(3.14)(18)$

$C=113.04\ ft$

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

10 revolutions is equal to

$(10)113.04=1,130.4\ ft$

therefore

The linear speed is $1,130.4\frac{ft}{min}$

3 0

3 years ago

What is the absolute magnitude of a star that has a period of 62 days?

mylen [45]

your 62 days shirt

3 0

3 years ago

Read 2 more answers

Please help!!

ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

p x + q y = r

It will have unique solution , when

$\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}$

As, you can see that in the two equation Provided above

$\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}$

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

= 30 -10.20

= 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

= 17.5 +13.6

= 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of this system of the equation.

5 0

3 years ago