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ki77a [65]
2 years ago
8

Maren is painting some doors that are all the same size. She used 3 liters of paint to cover 1 4/5 doors. How many liters of pai

nt are needed for 1 door?
Mathematics
1 answer:
Wewaii [24]2 years ago
5 0

Answer:5/3 litres of paint is needed for 1 door.

Step-by-step explanation:

All the doors that Maren is painting are of the same size.

She used 3 liters of paint to cover 1 4/5 doors. Converting 1 4/5 into improper fraction, it becomes 9/5.

Let the number of litres of paint needed to paint 1 door would be x. Therefore

3 litres = 9/5 doors

x litres = 1 door

Crossmultiplying, it becomes

3 × 1 = x × 9/5

3 = 9x/5

9x = 3 × 5 = 15

x = 15/9 = 5/3 litres

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Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angl
Naily [24]

Answer:

Part A: \triangle RPQ \sim \triangle RSP

Part B. All angles are same, so the triangles are similar.  

Part C. RP = 8

Step-by-step explanation:

We are given a right angled triangle \triangle RPQ with \angle P = 90^\circ.

PS is perpendicular to the hypotenuse RQ of \triangle RPQ and S lies on RQ.

Part A:

To identify the pair of similar triangles.

\triangle RPQ \sim \triangle RSP.

Part B:

To identify the type of similarity.

Kindly refer to the image attached in the answer area.

Let us consider the triangles \triangle RPQ \ and\ \triangle RSP.

\angle RSP =\angle RPQ =90^\circ

Also, \angle R is common to both the triangles under consideration.

Now, we can see that two angles of two triangles are equal.

So, third angle of the two triangles will also be same.

i.e. All three angles of two triangles \triangle RPQ \ and\ \triangle RSP are equal to each other.

So, by A-A-A (Angle - Angle - Angle) similarity, we can say that \triangle RPQ \sim \triangle RSP.

Part C:

RS = 4

RQ = 16, Find RP.

There is one property of similar triangles that:

The ratio of corresponding sides of two similar triangles is equal.

i.e.

\dfrac{RS}{RP} = \dfrac{RP}{RQ}\\\Rightarrow RP ^2 = RS \times RQ\\\Rightarrow RP ^2 = 4 \times 16\\\Rightarrow RP ^2 = 64\\\Rightarrow \bold{RP = 8\ units}

5 0
2 years ago
A truck rental company charges $50 plus $10 per hour. Identify a function that represents the total charge for renting a truck f
Reil [10]

Answer:

  c(h) = 50 +10h

  c(4) = 90 . . . . . it costs $90 to rent the truck for 4 hours

Step-by-step explanation:

The problem statement tells you the total charge is the sum of $50 and a charge of $10 per hour. That is, for h hours, the total charge is ...

  c = 50 + 10h

In functional form, this is ...

  c(h) = 50 +10h . . . . . . total charger for a rental of h hours

__

The function value with an input of 4 is ...

  c(4) = 50 +10·4

  c(4) = 90

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 4 hours.

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2 years ago
What is 6.8784 rounded to the nearest thousandth?
mixas84 [53]

Answer:

6.878

Step-by-step explanation:

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5 0
2 years ago
Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delivery/set
Wittaler [7]

Answer:

Inequality is  8x+45 < 12x+5 and value of x>10.

Step-by-step explanation:

Given : Adam is ordering pizza for a company party that he needs to have catered.

Company A charges $8 for each pizza and a delivery/set-up fee of $45. Company B charges $12 for each pizza and a delivery/set-up fee of $5.

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Solution : Let x be the number of pizza

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Company B charges $12 for each pizza and a delivery/set-up fee of $5.

Total charge of Company B is 12x+5

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\Rightarrow \frac{40}{4}< x

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or x> 10

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2 years ago
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