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zvonat [6]
3 years ago
7

A circle has radius 2.5 m. What angle is subtended at the center of the circle by an arc 3 m long? (Round your answer to one dec

imal place.)
Mathematics
1 answer:
TEA [102]3 years ago
3 0
Recall, The arc length [s] of a section of a circle is equal to the circles radius [r] times the central angle [theta] that the arc subtends. in radians.

s=r* \theta

r = 2.5 m.
s = 3 m.

3=2.5* \theta

\theta = 1.2 ~rad

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A quadratic equation with real coefficients and leading coefficient 1, has x = -bi as a root. Write the equation in general form
andrey2020 [161]
<span>The general form of quadratic equation with real coefficients and leading coefficient 1, has x = -bi as a root
=> x = <u>-b  + </u></span><u>√ b^2 – 4 ac</u><span>
                    2a

It is also written as:
=> ax^2 + bx + c = 0

Quadratic equation involves unknown numbers which is x, the numbers which a, b and c are called coeffecients.
There are also quadratic factorization where you factor the polynomial give to be able to get the value of the equation.</span>



5 0
3 years ago
Read 2 more answers
Which of the following fractions can be represented by a terminating decimal?
Karo-lina-s [1.5K]

Answer:

B) 13/8

Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

8/9 = 0.888888888888...9 (Incorrect)

B) 13/8

13/8 = 1.625 (Correct)

C) 4/3

4/3 = 1.3333333333...4 (Incorrect)

D) 6/11

6/11 = 0.545454545454...54 (Incorrect

13/8 is our answer because in decimal form it is a terminating decimal.

8 0
2 years ago
(c) The line with equation y = 2x +k is a tangent to curve y = 3x² +4. Find the value of k.​
statuscvo [17]

Answer:

k = 11/3

Step-by-step explanation:

If the line is tangent to the curve, then Δ = 0.

______________

Remembering:

Δ>0 two different points of intersection x' \neqx''

Δ=0 one point of intersection x' = x''

Δ<0 two different points of intersection in the complex plan x' and -x'

______________

As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:

2x + k = 3x² + 4

0 = 3x² - 2x + (4 - k)

Now we can use the Δ=0 (Δ= b² - 4ac)

Δ = 0 = (-2)² - 4.3.(4-k)

0 = 4 - 48 + 12k

12k = 44

k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3

k = 11/3

6 0
2 years ago
Most people can walk about 3750 feet in 15 minutes what is the unit rate in feet per minute for this walking pace
Debora [2.8K]

Based on the calculations, the unit rate in feet per minute for this walking pace is equal to 250 feet per minute.

<h3>How to calculate the unit rate?</h3>

A unit rate refers to a measurement of a quantity which is calculated as a ratio of one parameter to another.

This ultimately implies that, we would divide the distance covered in feet by the time taken to cover this distance as follows:

Unit rate = distance/time

Unit rate = 3750/15

Unit rate = 250 feet per minute.

Read more on time here: brainly.com/question/12199398

#SPJ1

5 0
2 years ago
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mylen [45]
1 is for circle
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3 years ago
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