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2 years ago

Q5. At a certain time of day, a man 6 feet tall casts a shadow 4 feet in length. At the

Mathematics

1 answer:

nirvana33 [79]2 years ago

8 0

The height of the church steeple is 42 feet

<h3>How to determine how high, in feet, is the church steeple?</h3>

The given parameters are

Height of the man = 6 feet

Length of the man's shadow = 4 feet

Length of the shadow of the church steeple = 28 feet

To determine how high, in feet, is the church steeple, we use the following equivalent ratio:

Height of the man : Length of the man's shadow = Height of the church steeple: Length of the shadow of the church steeple

Substitute the known values in the above equation

6 feet : 4 feet = Height of the church steeple : 28 feet

Express the above equation as a fraction

6 feet/4 feet = Height of the church steeple/28 feet

Multiply both sides of the above equation by 28 feet

28 feet * 6 feet/4 feet = Height of the church steeple/28 feet * 28 feet

This gives

28 feet * 6 feet/4 feet = Height of the church steeple

Evaluate the product in the above equation

168 feet/4 = Height of the church steeple

Evaluate the quotient in the above equation

42 feet = Height of the church steeple

Rewrite as:

Height of the church steeple = 42 feet

Hence, the height of the church steeple is 42 feet

Read more about equivalent ratios at:

brainly.com/question/2328454

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For a study on a new cold medicine, a group of 100 participants with cold symptoms was studied for one month in the spring. One-

Ivenika [448]

One fifth of the participants is 1/5*100=100/5=20 is the number of the participants given medicine. So the number of participants given placebo is 100-20=80.

80% of the 80 who took placebo felt improvements, so 20% of 80, which is
(20/100)*80=(2/10)*80=160/10=16 is the number of participants who took placebo and felt no improvement.

P(choosing participant who took placebo and felt no improvement)=

n(participant who took placebo and felt no improvement)/n(participants)
=16/100=0.16

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3 years ago

Point A is 4 units away from the origin along the x-axis, and is 7 units away along the y-axis. Which of the following could be

siniylev [52]

Answer: C (4,7)

Points are labeled as (x,y)

If the unknown point is 4 units away from the origin on the x axis, x will be 4

If the unknown point is 7 units away from the origin on the y axis, y will be 7

Therefore (4,7)

6 0

2 years ago

Read 2 more answers

At a cost restaurant the cost for a hot dog and a soft drink is $2.10. The cost for two hot dogs and three soft drinks is $5.15.

Alja [10]

Answer:

The cost of soft drink is $0.95

Step-by-step explanation:

Let the cost of hot dog be x

Cost of 2 hot dogs = 2x

Let the cost of soft drink be y

Cost of 3 soft drinks = 3y

At a cost restaurant the cost for a hot dog and a soft drink is $2.10.

So, x+y=2.10

The cost for two hot dogs and three soft drinks is $5.15

So, 2x+3y=5.15

Plot the lines on the graph:

x+y=2.10 --Purple line

2x+3y=5.15 --- Black Line

Intersection point =(x,y)=(1.15,0.95)

Hence The cost of soft drink is $0.95

7 0

3 years ago

Please show all work and not just the answers.

Mars2501 [29]

Answer:

√113

Step-by-step explanation:

As per distance formula:

d = $\sqrt{(x2-x1)^2 + (y2-y1)^2}$

Points are:

A(-4, -3) and B(3,5)

So the distance:

d = $\sqrt{(3+4)^2 + (5+3)^2}$ = $\sqrt{7^2 + 8^2}$ = $\sqrt{49+64} = \sqrt{113}$

Answer is √113

7 0

3 years ago

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the vertex of this parabola is at (2,-4). when the y-value us -3, the x-value is -3. what is the coefficient of the squared term

alex41 [277]

Answer:

The coefficient of the squared term is 1/25.

Step-by-step explanation:

We are given that the vertex of a parabola is at (2, -4). We also know that y = -3 when x = -3.

And we want to determine the coefficient of the squared term of the equation.

Since we are given the vertex, we can use the vertex form of the quadratic:

$\displaystyle y = a(x-h)^2+k$

Where (h, k) is the vertex and a is the leading coefficient. The leading coefficient is also the coefficient of the squared term, so we simply need to find the value of a.

Since the vertex is at (2, -4), h = 2 and k = -4. Substitute:

$\displaystyle y = a(x-2)^2-4$