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3 years ago

Find the Area of the shape below.

Mathematics

1 answer:

kobusy [5.1K]3 years ago

5 0

Answer:

42.5 Units squared

Step-by-step explanation:

Rectangle: 9.0 * 3.5 = 31.5

Square: 2 * 2 = 4

Left Triangle: 2 * 2 * .5 = 2

Right triangle: 5 * 2 * .5 = 5

31.5 + 4 + 2 + 5 = 42.5

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Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet

omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

Solution:

The distance is given by formula:

$distance = speed \times time$

Ton travels at 8 feet per second

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

Bob travels at 10 feet per second

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

$8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67$

Thus time taken before they are 2640 feet is 146.67 seconds

<h3>Method 2:</h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

$time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }$

Thus time taken before they are 2640 feet is 146.67 seconds

4 0

3 years ago

The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while

Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

$Tickets = 434$

$Students = \$4.00$

$Non-Students = \$6.00$

$Total = \$2032.00$

Solving (a): Number of students

Represent students with S and non students with N

So:

$S + N = 434$ --- (1)

$4S + 6N = 2032$ --- (2)

Make N the subject of formula in (1)

$N = 434 - S$

Substitute 434 - S for N in (2)

$4S +6(434 - S) = 2032$

Open Bracket

$4S + 2604 - 6S = 2032$

Collect Like Terms

$4S - 6S = 2032 - 2604$

$-2S = -572$

Divide through by -2

$S = 286$

Hence; 286 students attended

Solving (b):

Recall that

$N = 434 - S$

$N = 434 - 286$

$N = 148$

148 non students attended

4 0

3 years ago

What is the probability that the sample mean life span of 64 calculators from Caseo will exceed the sample mean life span of 81

musickatia [10]

Answer:

it would be 64-81 than answer devide by 6.

8 0

2 years ago

A mechanic charges $60 to inspect your heater, plus $70 per hour to work on it. You owe the mechanic a total of $410. Write and

uranmaximum [27]

Answer:

($410 - $60) / $70 = 5

After subtracting the $60 base fee, you can just divide the hours paid for by the hourly wage and find out how many hours were worked. Hope this helps!

5 0

3 years ago

What is the value of X?

d1i1m1o1n [39]

Answer:

x=10

Step-by-step explanation:

We can use the angle bisector theorem to solve this problem

8 12

-------- = ---------

x+4 2x+1

Using cross products

8(2x+1) = 12(x+4)

Distribute

16x+8 = 12x+48

Subtract 12x from each side

16x -12x +8 = 12x-12x +48

4x +8 = 48

Subtract 8 from each side

4x+8-8 = 48-8

4x = 40

4x/4 = 40/4

x=10

3 0

3 years ago