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mamaluj [8]
3 years ago
15

Find the size of the angle a.Diagram not drawn accurately​

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0

Answer:

45°

Step-by-step explanation:

Since,

3a + a + 2a + 2a = 360°

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Julius bought F boxes of 24 plastic forks. He already had 39 plastic forks. Now, he has 135 plastic forks. How many boxes of pla
mr_godi [17]

Answer:

D

Step-by-step explanation:

boxes are the f. the amount in each is 24. theses will be mulitplied. then you want to add what he already had. that's the +39

8 0
3 years ago
Which statement about the dilation of these triangles is true?
Arisa [49]
The scale factor is 7
7 0
2 years ago
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

brainly.com/question/13734546

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5 0
1 year ago
Francis heard that a car stereo system was on sale for 30% off. If the sale price was $57.75, what was the original price of the
matrenka [14]

Answer:

$75.08

Step-by-step explanation:

x over 57.75 = 30 over 100

57.75 * 30

1732.5 / 100

17.325

57.75 + 17.325

75.075

Simplify = $75.08

3 0
3 years ago
Find the Prime Factorization of -165
Ghella [55]

Answer:

(-1)(11)(3)(5)

Step-by-step explanation:

First off:  -165 separates into the factors (-1) and (165).  Next, we divide 165 by 15, obtaining 15(11).

So far, we have (-1)(11)(15).

15 is still factorable.  We get:

(-1)(11)(3)(5), which is the desired prime factorization of -165.

6 0
3 years ago
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