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Luden [163]
1 year ago
6

the ratio of the length of an arc of the circle to the circumference of the circle is 3:7, if the diameter of the circle is 14cm

calculate to three significant figures the (a) perimeter of the minor circle (b) area of the minor circle, take thither=22/7
Mathematics
1 answer:
konstantin123 [22]1 year ago
4 0

The perimeter and area of this minor circle are equal to 32.857 units and 88.345 units² respectively.

<h3>How to calculate the perimeter of the minor circle?</h3>

First of all, we would determine the circumference of this circle by using this formula:

C = πD

C = 22/7 × 14

C = 44 units.

For the length of an arc of the circle:

Arc length/Circumference = 3/7

Arc length = 3/7 × C

Arc length = 3/7 × 44

Arc length = 18.857 units.

Now, we can calculate the perimeter:

Perimeter = 2r + arc length

Perimeter = 2(14/2) + 18.857

Perimeter = 14 + 18.857

Perimeter = 32.857 units.

<h3>The area of the minor circle.</h3>

Mathematically, the area of a minor circle is given by this formula:

Area = θr²/2

But, we would have to find the angle in radians:

18.857/32.857 = θ/360

θ = 3.6059 radians.

Substituting the given parameters into the formula, we have;

Area = (3.6059 × 7²)/2

Area = 88.345 units².

Read more on circumference here: brainly.com/question/14478195

#SPJ1

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Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the
Vikki [24]
<span><u>Answer </u>
18 feet and 4.5 inches

<u>Explanation </u>
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.  
</span>
3 0
3 years ago
you sold brownies for $3 each.You sold 14 more this week than last week altogether. You made $84. how many brownies did you sell
Luba_88 [7]

Answer: 8

Step-by-step explanation: Altogether you sold x last week, if you do x + 14 which is 2x12 brownies sold, then at 3$ each 3(2x+12)=84 so 6x + 36 = 84

84- 36 = 48/6 = 8

7 0
3 years ago
How do I do this problem???
Andreas93 [3]
A. there are 72 right-handed batters. this is what you do:
5:8
45:?
45/5=9
8*9=72 so
45:72 
b. there are 45 left-handed batters
the total batters is 45+72=117
so the ratio of left-handed to the total batter would be 45:117
hope this helps :)

4 0
3 years ago
Please, Help.<br>the answer isn't 30°
vagabundo [1.1K]

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)

<h3>How to find a missing angle by triangle properties</h3>

Triangles are <em>geometrical</em> figures formed by three sides and whose sum of <em>internal</em> angles equals 180°. There are two kind of triangles existing in this question: (i) <em>Right</em> triangles, (ii) <em>Isosceles</em> triangles.

<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.

According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:

<em>2 · x + 90 + θ = 180</em>   (1)

<em>(90 - x) + 90 + θ = 180</em>   (2)

By equalizing (1) and (2) we solve the system for <em>x</em>:

<em>2 · x = 90 - x</em>

<em>3 · x = 90</em>

<em>x = 30</em>

And by (1) we solve the system for <em>θ</em>:

<em>θ = 180 - 2 · x - 90</em>

<em>θ = 30</em>

<em />

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A) \blacksquare

To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314

8 0
3 years ago
Sistema de ecuaciones.5x+2y=-152x-2y=-6
Zolol [24]

Tnemos el sisema de ecuaciones:

\begin{gathered} 5x+2y=-15 \\ 2x-2y=-6 \end{gathered}

Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:

\begin{gathered} (5x+2y)+(2x-2y)=(-15)+(-6) \\ 7x+0y=-21 \\ x=-\frac{21}{7} \\ x=-3 \end{gathered}

Ahora podemos resolver para y con cualquiera de las dos ecuaciones:

\begin{gathered} 2x-2y=-6 \\ 2\cdot(-3)-2y=-6 \\ -6-2y=-6 \\ -2y=-6+6 \\ -2y=0 \\ y=0 \end{gathered}

Respuesta: x=-3, y=0

7 0
1 year ago
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