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cestrela7 [59]
3 years ago
15

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If necessa

ry, round the answer to two decimal places.
r = 14 feet, A = 69 square feet, θ = ?
Mathematics
2 answers:
masya89 [10]3 years ago
7 0
Q1
r = (2A/θ)^.5 = ((14/(1/8))^.5 = 10.583 ft <--------

q2
θ = 2A/r^2 = 2*3/7^2 = .122 rad <--------
olga55 [171]3 years ago
5 0
Here, θ/360 * πr² = 69
θ/360 * 3.14 * (14)² = 69
θ/360 * 615.75 = 69
θ = 69*615.75 /360
θ = 40.36

In short, Your Answer would be 40.36 degrees

Hope this helps!
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Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, t
Blababa [14]

Answer:

x + y = 60 and 1.55x + 1.4y = 88.20 and the solution is x = 32 and y = 28.

Mr. Sanchez’s class earned more money by $10.4.

Step-by-step explanation:

Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each.

Let the number of sold fruit pies is x and bottles of fruit juice is y.

So, from the given condition we can write

x + y = 60 ........ (1)

⇒ 1.4x + 1.4y = 84 ....... (2) and

1.55x + 1.4y = 88.20 ........ (3)

Now, solving equations (2) and (3) we get (1.55 - 1.4)y = (88.2 - 84)

⇒ y = 28

And from equation (1) we get x = 60 - 28 = 32.

Therefore, Mr. Sanchez’s class earned more money. (Answer)

Now, this class have earned $(32 × 1.55 - 28 × 1.4) = $10.4 more. (Answer)

5 0
3 years ago
Read 2 more answers
Two sides of a triangle are 6 m and 7 m. The perimeter of the triangle is 23 m. What's the third side?
mixer [17]
23-6=17
17-7=10
The third side is 10m
8 0
3 years ago
Read 2 more answers
Can someone please help me with this
Nesterboy [21]

Answer:

m∠Q = 121°

m∠R = 58°

m∠S = 123°

m∠T = 58°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Create an expression for the sum of all the angles and equate it to 360, then solve for x:

      ∠Q + ∠T + ∠S + ∠R = 360

⇒ 2x + 5 + x + 2x + 7 + x = 360

⇒ 6x + 12 = 360

⇒ 6x = 360 - 12 = 348

⇒ x = 348 ÷ 6 = 58

So now we know that x = 58, we can calculate all the angles:

m∠Q = 2x + 5 = (2 x 58) + 5 = 121°

m∠R = x = 58°

m∠S = 2x + 7 = (2 x 58) + 7 = 123°

m∠T = x = 58°

5 0
2 years ago
a metalsmith is mixing two molten metals, each containing different percentages of silver. the table shows the amount of each mo
Likurg_2 [28]
It would be much easier if you attached a table. Anyway I know what you need to do. Just make an equation and put the numbers from the table given you in the task. And you'll solve it.
7 0
3 years ago
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A parking lot is 75 feet wide and 90 feet long. What is the cost of paving the lot with concrete at $3.50 per square yard?
g100num [7]
This question is super simple when you sit down and think about what it's asking. What is the cost of the whole paving lot?

We know that the paving lot is 90 ft by 75 ft, we need to start by finding the area of the whole paving lot.

Area of a rectangle is Length multiplied by Width.

90 × 75 = 6,750

The area of the paving lot is 6,750 feet squared.

Now we need to find the cost of the paving lot, we know that one square yard costs $3.50 to pave.

We can solve this by first taking the step to finding how many yards are in the paving lot.

A yard is 3 feet so we'll divide the area of the paving lot by 3.

6,750 ÷ 3 = 2,250

With the paving lot having 2,250 square yards we can now multiply this by the $3.5 cost per square yard.

2,250 × 3.5 = 7,875

It should cost $7,875 dollars to pave the entire lot.
3 0
3 years ago
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