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ratelena [41]
3 years ago
12

What is the probability that another student has the same birthday as you?

Mathematics
1 answer:
Flura [38]3 years ago
5 0
There are 365 days in a year. So the answer is

1/365
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The plan of a terrace is shown at right. The scale is 2 inches : 6 feet. What are the length and width of the terrace? Find the
galina1969 [7]

Answer:

Part 1) The length of the terrace is 15 feet

Part 2) The width of the terrace is 6 feet

Part 3) The area of the terrace is 90 square feet

Step-by-step explanation:

<u><em>The picture of the question in the attached figure </em></u>

we know that

The scale of the plan is \frac{2}{6} \frac{in}{ft}

step 1

Find the length of the terrace

we know that

The length of a terrace in the plan is equal to 5 inches

so

by proportion

Find the length of the terrace in the actual

\frac{2}{6} \frac{in}{ft}=\frac{5}{x} \frac{in}{ft}\\ \\x=6*5/2\\ \\x=15\ ft

step 2

Find the width of the terrace

we know that

The width of a terrace in the plan is equal to

so

by proportion

Find the width of the terrace in the actual

\frac{2}{6} \frac{in}{ft}=\frac{2}{x} \frac{in}{ft}\\ \\x=6*2/2\\ \\x=6\ ft

step 3

Find the area of a terrace

we know that

The area of a terrace is equal to

A=LW

we have

L=15\ ft\\W=6\ ft

substitute

A=15*6=90\ ft^{2}

7 0
3 years ago
What is the value of x? Enter your answer in the box.
PIT_PIT [208]

We will use the angle bisector theorem here for \angle GEH. ED being the angle bisector.

Thus, from the diagram we will have:

\frac{HD}{DG} =\frac{EH}{EG}

We will now plug in the values given in the diagram.

\frac{35}{x+4} =\frac{56}{44.8}

x+4=\frac{35\times 44.8}{56}

x+4=28

x=24

6 0
3 years ago
You drop a rock off a bridge.
Montano1993 [528]
The height of the rock will be 477 feet after two seconds
5 0
3 years ago
Find the slope of the vertical line that passes through (2,-4)
makkiz [27]

Answer:

x=2

Step-by-step explanation:

Vertical lines have the same x value all the time.  It is of the form x=

Their slope is undefined

The line passes through the point (2,4) and the x value is 2

x=2

7 0
3 years ago
Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of t
GrogVix [38]

Answer:

<u>System of equations</u>

x + y = 5

y - 2x = -4

(x,y) = (3,2) --- solution

See attachment for graph

Step-by-step explanation:

Solving (a): Linear equations with 1 solution

The only condition to this is that, the system must have 1 solution.

Other than that, there is no other condition.

A linear equation is represented as:

ax + by= c

For the equation to have 1 solution;

a_1 * b_2 \ne a_2 * b_1

And example of such equation is:

x + y = 5

y - 2x = -4

Solving (b): The graph

See attachment for graph

The solution is the point of intersection of both lines of the graph. So, we have:

(x,y) = (3,2)

8 0
3 years ago
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