what is the measure of angle k?

Answer: i think the answer is B or C sorry

Step-by-step explanation:

have a nice day

The length of the radius of circle A is 24 units. The correct answer would be an option (A).

The arc is a portion of the circumference of a circle. The circumference of a circle is the distance or perimeter around a circle.

As per the question, we have

Arc length BC = 20π units and θ = 150°

The formula for calculating the arc states that:

Arc length = 2πr (θ/360)

Where r = the radius of the circle,

π = pi = 3.14

θ = the angle (in degrees) subtended by an arc at the center of the circle.

Substitute the known values, and we get

20π = 2πr (150/360)

10 = r (5/12)

r = 120/5

r = 24

Thus, the length of the radius of circle A is 24 units.

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Answer:

I'm pretty sure its 28 cubic inches

Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

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hope it helps

Answer:

Step-by-step explanation:

10x + 75 ≤ 300

10x ≤ 225

x ≤ 22.50 on decorations

Answer:

20 happy to helPNMNJHUJN

Step-by-step explanation:

Answer:

14 minutes

Step-by-step explanation:

6÷2=3

3×7-7=21

Answer:

4) overdraft fees

Step-by-step explanation:

if she now has a negative balance then she owes money to the couch store

Answer:

Overdraft fees

Step-by-step explanation:

An overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn".

Answer:

{(1,6,7)(6,7)

step by step

A intersect B is equally to (1,6,7) intersect B (6,7)

Answer:2

Step-by-step explanation: pretty simple, trust me :)

Answer:

False

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean equal to 2.04 pounds and a standard deviation of 0.25 pounds.

This means that [tex]\mu = 2.04, \sigma = 0.25[/tex]

The probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.​

We have to find 1 subtracted by the vpalue of Z when X = 2.4. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.4 - 2.04}{0.25}[/tex]

[tex]Z = 1.44[/tex]

[tex]Z = 1.44[/tex] has a pvalue of 0.9251

1 - 0.9251 = 0.0749

The probability is 0.0749, which means that the answer is False.

Answer:

$7,800 was invested at 9% and $4,200 at 19%.

Step-by-step explanation:

Given that a bank loaned out $ 12,000, part of it at the rate of 9% per year and the rest at 19% per year, if the interest received in one year totaled $ 1,500, to determine how much was loaned at 9% the following calculation must be performed:

12,000 x 0.09 + 0 x 0.19 = 1,080

10,000 x 0.09 + 2,000 x 0.19 = 1,280

8,000 x 0.09 + 4,000 x 0.19 = 1,480

7,900 x 0.09 + 4,100 x 0.19 = 1,490

7,800 x 0.09 + 4,200 x 0.19 = 1,500

Thus, $ 7,800 was invested at 9% and $ 4,200 at 19%.

Answer:

2

Step-by-step explanation:

=−2y+10+2y+−8

=(−2y+2y)+(10+−8)

=2

Answer:

x = 139 degrees

Step-by-step explanation:

first, find what the missing interior angle is:

add the known angles:

90 + 49 = 139

subtract the sum from 180:

180 - 139 = 41

now to solve for x, take 180 and subtract 41:

180 - 41 = 139

x = 139 degrees

Answer:

[tex](g\cdot f) = -3x^2-3[/tex]

Step-by-step explanation:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = -3[/tex]

The problem state to multiply the function [tex]f[/tex] and [tex]g[/tex] so the symbol seems to be incorrect.

We actually want to calculate

[tex]g(x) f(x) =gf(x) = (-3) \cdot (x^2+1)= -3x^2-3[/tex]

Note

[tex]g\circ f(x)=g(f(x))=g(x^2+1)=-3[/tex]

Answer:

4-5x+x=27

Step-by-step explanation:

5x+x =27+4

=5x+x=31

x+x=31/5

2x=31/5

2x=6.2

x= 6.2/2

x=3.1

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

The value of Surface Area of the cylinder is 245.04 cm².

Surface area is the amount of space covering the outside of a three-dimensional shape.

It is given that the cylinder has

radius r = 3 cm

height h = 10 cm

volume V of the cylinder = πr²h = 282.74 cm³

the lateral surface area of a cylinder

L = 2πrh

lateral surface area L = 188.495559 cm²

the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

top surface area T = 28.2743339 cm²

base surface area B = 28.2743339 cm²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

total surface area A = 245.044227 cm²

total surface area A = 78 π cm²

Therefore the value of Surface Area of the cylinder is 245.04 cm².

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Answer:

278 votes

Step-by-step explanation:

[tex]2/3 * 417 = 278[/tex]

Answer:

a. H0: p ≥ 0.50; HA: p < 0.50

b. H0: μ ≥ 10; HA: μ < 10

c. H0: μ = 250; HA: μ ≠ 250

Step-by-step explanation:

a. "I am going to get the majority of the votes to win this election."

This sentence means that the probability of winning is more than fifty percent or more than half.The null hypothesis would be

H0: the probability of winning is more than 50 %

against the claim that

Ha: the probability of winning is less than 50%

So the best choice would be option c

H0: p ≥ 0.50; HA: p < 0.50

b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."

The claim is that the pizzas are less than 10 inches in size.

which can be written as alternate hypothesis

Ha: u < 10

so the best choice would be  option a

H0: μ ≥ 10; HA: μ < 10

c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."

In this statement the claim is that an average of ibuprofen do not contain 250 mg as advertised.

the alternate hypothesis would be u ≠ 250 mg

Ha: μ ≠ 250  and the null hypothesis is the reverse of the aalternate hypothesis.

so the best option would be part a

H0: μ = 250; HA: μ ≠ 250

Answer:

8.2

Step-by-step explanation: i think its 8.2

i dont know tho

The sprinter's speed before he increased his speed is 8.2 miles per hour.

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Here, Change in Speed = 14.8 miles per hour

          Top speed = 23 miles per hour

Actual old Speed = Top Speed - increased speed

                              = 23 - 14.8

                              = 8.2 miles per hour

Thus, the sprinter's speed before he increased his speed is 8.2 miles per hour.

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Answer:

Step-by-step explanation:

11/3 + (7 - 11/5)

LCM of 3 and 5 is 15 so we have

55/15 + (105/15 - 33/15)

= 160/15 - 33/15

= 127/15.

Answer:c

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

divided 7200 by 45 to get 160