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klasskru [66]
3 years ago
8

Bryan drives up to a traffic circle from Elm Street. He drives 15 meters around the circle is a perfect circle with a radius of

10 meters, at what angle is Maple Street to Elm Street?

Mathematics
2 answers:
Tom [10]3 years ago
8 0

Answer:

<h2><em> 85.9° </em></h2>

Step-by-step explanation:

Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;

Length of an arc = θ/360 * 2Πr  where r is the radius of the circle.

Given r = 10m and length of the arc = 15m

On substituting;

15 =  θ/360 * 2π(10)

15 = θ/360 * 20π

θ/360 = 15/20π

θ/360  = 0.2387

θ = 360* 0.2387

θ = 85.9°

<em>Hence Maple street is at 85.9° to Elm street.</em>

<em></em>

elixir [45]3 years ago
4 0

Answer:

\approx \bold{85.98^\circ}

Step-by-step explanation:

Given that

Radius of circle = 10 metres

Bryan drives 15 metres around the circle.

To find:

The angle of Maple street to Elm street = ?

Solution:

Kindly refer to the image attached.

The Elm street meets the circle at A.

Maple street at B.

Given that arc length AB = 15m

Radius of circle = 10 m

We have to find the angle of arc.

Let us use the formula:

\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}

Converting to degrees:

\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}

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Alex_Xolod [135]

Answer:

4

Step-by-step explanation:

3/4÷3/16

3/4×16/3

3•16=48

4×3=12

48÷12=4

7 0
3 years ago
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Answer:

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3 years ago
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
Alenkinab [10]

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

4.5 ^ 2 + 26 ^ 2 = X ^ 2

20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

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26.3865 x 2 + 9 = X

52.77 + 9 = X

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Therefore, the triangle's perimeter is 61.77 inches.

5 0
2 years ago
16. Suppose Eva has 12 3/4 pounds of flour. The day's baking will require triple that amount.
egoroff_w [7]

Answer:

Option D

Step-by-step explanation:

Given the following question:

12 \frac{3}{4} \times3

In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.

12 \frac{3}{4} \times3
12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}
3=\frac{3}{1}
\frac{51}{4} \times\frac{3}{1}
51\times3=153
4\times1=4
=\frac{153}{4}

<u>Convert the improper fraction back into a mixed number:</u>

\frac{153}{4}
\frac{153}{4} =153\div4=38\frac{1}{4}
=38\frac{1}{4}

Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.

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7 0
3 years ago
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