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jolli1 [7]
1 year ago
7

Mr. Velasquez built a playground. It has one section with a slide and another section with a swing set. A pathway connects the t

wo areas. The slide is 2 meters high. The ares and the pathway are covered in asphalt. Mr velasquez want to know how much of the playground is covered in asphalt
Mathematics
1 answer:
posledela1 year ago
4 0

Answer:

A_1 = 24m^2 -- Swing set

A_2 = 16m^2 -- Slide

A_3 = 5m^2 --- Pathway

Step-by-step explanation:

Missing part of the question:

Fill in the table above to show the area of each section (see attachment for table)

The area of each section is calculated as:

Area = Length * Width

For the Swing set

A_1 = 8m * 3m

A_1 = 24m^2

For the Slide

A_2 = 8m * 2m

A_2 = 16m^2

For the Pathway

A_3 = 5m * 1m

A_3 = 5m^2

The total area is:

Area=A_1 + A_2 + A_3

Area = 24m^2 + 16m^2 + 5m^2

Area = 45m^2

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To prove: PA = PB
Construction: Join OA, OB, and OP.
It is known that a tangent at any point of a circle is perpendicular to the radius through the point of contact.
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In △OPA and △OPB
∠OPA=∠OPB (Using (1))
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Therefor △OPA≅△OPB (RHS congruency criterion)
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(Corresponding parts of congruent triangles are equal)
Thus, it is proved that the lengths of the two tangents drawn from an external point to a circle are equal.
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So statement is correct

7 0
1 year ago
6 pints of a 20 percent solution of alcohol in water are mixed with 4 pints of a 10 percent alcohol in water solution. The perce
andreev551 [17]
Total Volume would be 6 + 4 = 10 pints
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4 0
1 year ago
Read 2 more answers
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel
Nonamiya [84]

Answer:

Option B. 5P5 × 20P15

Step-by-step explanation:

It is very important to remember that the second grade students are sitting in the front row, therefore, it is only necessary to organize 15 first grade students in 20 seats.

Permutations allow you to calculate the number of ways in which m objects can be arranged in n positions.

The permutation of m in n is written as:

nPm

Where n is the number of elements and m are chosen.

The way in which the 5 second grade students can be organized in the 5 seats is from the first row is:

5P5

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20P15

Then, the number of ways to organize all students on the bus is the product of both permutations

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4 0
2 years ago
A dvd normally costs $15. It is reduced to $9.75 in a sale. How much is the percentage reduction
Ivahew [28]

Answer:

You are paying 65% of the original price.

Step-by-step explanation:

So what I did is trial and error by 5 so I started with 75% and then 70% and so on until 65%

5 0
2 years ago
At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng
ludmilkaskok [199]

Answer:

The given equation  in slope intercept form is

226.50  = 7.5 (25) + 39  

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

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Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

⇒The cleaning fee paid by the family =    $226. 50 - $187 . 5  = $39

According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39

8 0
1 year ago
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