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3 years ago

13

What is the arc length when θ = 3 pi over 5 and the radius is 7 cm? (5 points)

1 answer:

erastova [34]3 years ago

4 0

The correct answer is 21π/5

Explanation:
The arc length of a circle is given as = radius × angle subtended by the arc at centre.
Here, r = 7 cm.
θ = 3π/5
Therefore, arc length, l = rθ = 7×3π/5 = 21π/5

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What is 31/50 as a percentage

natita [175]

$x\ as\ a\ prcentage:\\\\x=x\cdot100\%\\--------------------------\\\\\frac{31}{50}=\frac{31}{50}\cdot100\%=(31\cdot2)\%=\boxed{62\%}$

5 0

3 years ago

Read 2 more answers

Explain whether or not the plant labeled p(x)=x2+x+3 has any rational or irrational roots.

olasank [31]

frational roots are those numbers that can be written in form $\frac{a}{b}$ where a and b are integers (integers are like -5,-4,-3,-2,-1,0,1,2,3,4, etc)

some examples are 1=1/1, 2=2/2, -4=-4/1, 4/3, 0.111111111111=1/9, etc

irrational numbers are numbers that can't be written that way like pi

numbers that involve √-1 or a square root of any negative number are called complex numbers and are neither rational nor irrational.

roots are the values of x that makes the function equal to 0

$p(x)=x^2+x+3$

set equal to 0

$0=x^2+x+3$

I can't factor so use quadratic formula

for $0=ax^2+bx+c$

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

so

$x=\frac{-1 \pm \sqrt{1^2-4(1)(3)}}{2(1)}$

$x=\frac{-1 \pm \sqrt{-11}}{2}$

√-11 is a square root of a negative number so it is a complex number. therefore, the function does not have rational or irrational roots

p(x) has no rational or irrational roots

5 0

2 years ago

Hey who can solve this

Galina-37 [17]

Answer:

I need help on that too help pls

Step-by-step explanation:

7 0

2 years ago

LITERAL EQUATIONS: A literal equation is one consisting of all letters (or at least mostly letters). The Latin word literalis me

Crank

Answer:

D. b = r+z

Step-by-step explanation:

Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;

b-r+r = z+r

Since -r+r = 0, substitute:

b+0 = z+r

b = z+r

Hence the resulting equation when r is added to both sides of the equation is b = z+r

Hence option D is correct

6 0

2 years ago

When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba

Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

$z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25$

And

$z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}$

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

3 0

2 years ago