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3 years ago

Dominic spent 2 3/4 hours on art project. Rachel worked 1 1/3 times as long. How many hours did Rachel work for?

2 answers:

4 0

Rachel worked for 3 2/3 hours.

Multiply the fractions to get the answer.

2 3/4 x 1 1 /3 is 3 2/3.

Hope it helps you :D

N76 [4]3 years ago

3 0

3 and 2/3 hours.

Multiply the number of hours Dominic spent by the scale factor.

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Please help me solve this problem ASAP

DiKsa [7]

$\bold{\huge{\blue{\underline{ Solution }}}}$

<h3>Given :-</h3>

The right angled below is formed by 3 squares A, B and C
The area of square B has an area of 144 inches ²
The area of square C has an of 169 inches ²

We have to find the area of square A?

<h3>Let's Begin :- </h3>

The right angled triangle is formed by 3 squares

We have, 

Area of square B is 144 inches²
Area of square C is 169 inches²

We know that,

$\bold{ Area \: of \: square = Side × Side }$

Let the side of square B be x

Subsitute the required values,

$\sf{ 144 = x × x }$

$\sf{ 144 = x² }$

$\sf{ x = √144}$

$\bold{\red{ x = 12\: inches }}$

Thus, The dimension of square B is 12 inches

Area of square C = 169 inches

Let the side of square C be y

Subsitute the required values,

$\sf{ 169 = y × y }$

$\sf{ 169 = y² }$

$\sf{ y = √169}$

$\bold{\green{ y = 13\: inches }}$

Thus, The dimension of square C is 13 inches.

It is mentioned in the question that, the right angled triangle is formed by 3 squares

The dimensions of square be is x and y

Let the dimensions of square A be z

<h3>Therefore, By using Pythagoras theorem, </h3>

The sum of squares of base and perpendicular height equal to the square of hypotenuse

That is,

$\bold{\pink{ (Perpendicular)² + (Base)² = (Hypotenuse)² }}$

Here, 

Base = x = 12 inches
Perpendicular = z
Hypotenuse = y = 13 inches

Subsitute the required values,

$\sf{ (z)² + (x)² = (y)² }$

$\sf{ (z)² + (12)² = (169)² }$

$\sf{ (z)² + 144 = 169}$

$\sf{ (z)² = 169 - 144 }$

$\sf{ (z)² = 25}$

$\bold{\blue{ z = 5 }}$

Thus, The dimensions of square A is 5 inches

<h3>Therefore,</h3>

Area of square

$\sf{ = Side × Side }$

$\sf{ = 5 × 5 }$

$\bold{\orange{ = 25\: inches }}$

Hence, The area of square A is 25 inches.

6 0

2 years ago

James is running late to his cousin's wedding and drives the 45 miles between his house and the wedding location 20 miles per ho

netineya [11]

Answer:

(r + 20)t = r

Step-by-step explanation:

Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.

From wedding back home. :

Recall : Distance = speed * time

Distance = r * 1 hour

From home to wedding :

Speed = 20 mph more ; r + 20

Time = t

Distance = (r + 20)* t = (r +20)t

Since the distance are the same, we can equate both :

(r + 20)t = r * 1

= (r + 20)t = r

5 0

3 years ago

Find the amount of annuity.

PilotLPTM [1.2K]

295×((((1+0.1÷4)^(4×6)−1)
÷(0.1÷4))×(1+0.1÷4))
=9,781.54

8 0

3 years ago

Read 2 more answers

A, b, c, d, or e Please help

Norma-Jean [14]

Answer:

A or D is the answers for the question

Step-by-step explanation:

please give me brainlest and follow me

4 0

3 years ago

Read 2 more answers

What number raised to both the first power and the second power equal 1

ICE Princess25 [194]

The answer is 1.
1 is the number raised to both the first power and the second power equal 1.
Any number raised to the second power means it is multiplied by itself 2 times and also any nonzero number that is raised to the power of zero is also equal to 1, x⁰=1 for example 2⁰ = 1, 4⁰ =1

8 0

3 years ago