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3 years ago

Determine if the statement below makes sense. Explain.

Mathematics

1 answer:

Katarina [22]3 years ago

4 0

Answer:

Step-by-step explanation:

$376.35 / 4 does equal to $94.0875 but when it comes to money, it should be rounded to the nearest cent being $94 and .08 cents.

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Mrs. Johnson measured 3 rectangular rooms that she wants to tile. What is the total area of the rooms?

stich3 [128]

Answer:

Find the area of each room and add the areas

Step-by-step explanation:

Please find the full question in the attached image

the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together

for example ,

dimension of room 1 = 5 x 3

dimension of room 2 = 2 x 3

dimension of room 3 = 4 x 5

area of room 1 = 15

area of room 2 = 6

area of room 3 = 20

total area = 15 + 6 + 20 = 41

6 0

3 years ago

The gear is one of the oldest mechanical devices. It has been used since ancient times for its ability to increase or decrease r

eduard

The large gear attached to the pedals connected to the smaller gear

attached to the wheel allows the bicycle to travel further per rotation.

Correct responses:

Part A: Approximately 10.47 inches

Part B: 300°The d

Part C: Approximately 125.66 inches

Part D: The distance traveled increases by approximately 62.83 inches

<h3 /><h3>Methods used to calculate the above values</h3>

Given:

The radius of the large central gear, <em>r</em> = 4 inches

Radius of the small gear = 2 inches

Part A:

The distance travelled by the larger gear when the angle of rotation is 150° is given as follows;

$\displaystyle Distance \ travelled \ by \ larger \ gear = \mathbf{\frac{150^{\circ}}{360^{\circ}} \times 2 \times \pi \times 4 \, inches} = \frac{10}{3} \cdot \pi \ inches$

$\displaystyle Distance \ traveled \ by \ the \ outer \ edge = \frac{10}{3} \cdot \pi \ inches \approx \underline{ 10.47 \ inches}$

Part B:

When the small gear travels the same linear distance as the large gear in part A, we have;

$\displaystyle Degree \ of \ rotation = \frac{\frac{10}{3} \cdot \pi }{2 \times \pi \times 2 } \times 360^{\circ}= 300^{\circ}$

The degree of rotation of the small gear = <u>300°</u>

Part C:

The distance travelled, <em>C</em>, by a single rotation of the large gear is given as follows;

C = 2 × π × 4 inches = 8·π inches

The degree of rotation of the smaller gear following one rotation of the large gear is therefore;

$Degree \ of \ rotation = \displaystyle \frac{8\cdot \pi \ inches}{4 \cdot \pi \ inches } \times 360^{\circ} = \mathbf{ 720^{\circ}}$

720° = 2 × 360°

1 complete rotation is equivalent to 360°.

Therefore'

720° is equivalent to two complete rotation.

Therefore, the smaller gear and the wheel rotates twice for each rotation of the large gear

The distance the bicycle travels = 2 × The circumference of the wheel

Therefore;

Distance traveled by the bicycle = 2 × 2 × π × 10 inches = 40·π inches

Distance traveled by the bicycle = 40·π inches ≈ <u>125.66 inches</u>

Part D:

If the radius of the small gear is 1.5 inches and the radius of the large gear is 4.5 inches, we have;

Number of rotation of the small gear for each rotation of the large gear = 3 rotations

Therefore, number of rotation of the wheel = 3

Distance the bicycle travels = 3 × 2 × π × 10 inches = 60·π inches

The difference in distance traveled = 60·π inches - 40·π inches = 20·π inches

The distance traveled by the bicycle increases by 20·π inches ≈ <u>62.83 inches</u>

Learn more about gear transmission here:

brainly.com/question/14646065

brainly.com/question/3926797

8 0

2 years ago

[7.07] Choose the correct product of (6x + 2)2.

Archy [21]

The correct product of (6x+2)2 = 36x2 + 24x + 4
This is how to get this:
The equation is (a+b)2 = (a+b) (a+b). So, when you apply this to your equation, you get this:
(6x+2)2 = (6x+2) (6x+2) = 36x2 + 12x + 12x + 4 = 36x2 + 24x + 4

4 0

2 years ago

Read 2 more answers

20=8+3(12+4x) Please help<br> It's really hard

nataly862011 [7]

So first, you have to remember the order of operations. That means that whatever is in the parentheses is what has to be done first
However, because one of the numbers in the parentheses is a variable and the other isn't, we can distribute instead
Therefore, 3(12+4x) distributes by multiplying the 3 into both numbers in the parentheses. So we get 36+12x
Now the equation is 20=8+36+12x
Now, bring all numbers without variables on the left side

20-8-36=8-8+36-36+12x
20-8-36=12x

Now simplify

20-8-36=12x
12-36=12x
-24=12x

Divide both sides by 12, and you get x=-2

Hope this helped!!! :D

4 0

3 years ago

Read 2 more answers

Rita earns $16.00 per hour. If she gets a 3% raise, what will be her new hourly wage?

Vikentia [17]

All percentages can be expressed as fractions or decimals. To find a percentage of a number, we multiply the percentage with the number. In this case:
3/100 * 16/1 = 48/100 = 0.48
Or:
0.03 * 16 = 0.48
Her new hourly wage would be $16.48

5 0

3 years ago

Read 2 more answers