What is the measure (in radians) of central angle \thetaθtheta in the circle below?
Enter an exact expression.

Answer:

IQR = 4

Step-by-step explanation:

Q3 = 6

Q1= 2

6-2=4

Answer:

Step-by-step explanation:

Circle of center A(2, 0) and radius r.

P (22, 15),   Q(−13, c) and R (k, 24) all lie on a circle,

[tex]r=AP=\sqrt{\left( 22-2\right)^{2} +\left( 15-0\right)^{2} }[/tex]

 [tex]=25[/tex]

Q(−13, c)  lies on the circle then ,

[tex]AQ=r\Longrightarrow AQ^{2}=r^{2}\Longrightarrow (-13-2)^{2}+(c-0)^2=25^2=625[/tex]

[tex]\Longrightarrow 225+c^{2}=625[/tex]

[tex]\Longrightarrow c=20[/tex]

R (k, 24) lies on the circle then ,

[tex]AR=r\Longrightarrow AR^{2}=r^{2}\Longrightarrow (k-2)^{2}+(24-0)^2=25^2=625[/tex]

[tex]\Longrightarrow (k-2)^{2}+576=625[/tex]

[tex]\Longrightarrow (k-2)^{2}=49[/tex]

[tex]\Longrightarrow k-2=7\ \ or \ \ k-2=-7[/tex]

[tex]\Longrightarrow k=9\ \ or \ \ k=-5[/tex]

The geometry of the softball is a sphere. Then the radius of the softball will be 1.91 inches.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A softball has a volume of about 29 cubic inches.

Then the radius of the softball will be

The geometry of the softball is a sphere.

Then the volume of the sphere is given as

[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]

where r is the radius of the softball.

Then we have

[tex]\rm r^3 = \dfrac{3V}{ 4 \pi}\\\\r^3 = \dfrac{3 \times 29}{4 \times \pi}\\\\r^3 = \dfrac{87}{12.5664}\\\\r^3 = 6.9232\\\\r \ \ = \sqrt[3]{6.9232}\\\\r \ \ = 1.9059 \approx 1.91 \ in.[/tex]

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Answer: 1/3 im not sure tho

Step-by-step explanation:

Answer:

4188.79

Step-by-step explanation:

formula- [tex]\frac{4}{3}[/tex]  × [tex]\pi[/tex] × [tex]r^{3}[/tex]

r= radius

Answer:

20

Step-by-step explanation:

Answer:

7. D.58

Because 90-32=58 (that cube on the edge means 90degree)

8. A.45

Because 180-135=45

9. C. Because angles are equal

10. C. 95

180-85=95

Answer:

Angle L

Step-by-step explanation:

An obtuse angle has a measure between 90° and 180°.

Angles J and K are right angles, so their measures are equal and are 90°. Angle M has measure 64° and is acute.

Only angle L, which measures 116°, has a measure between 90° and 180° and is an obtuse angle.

Answer: Angle L

Answer:

5906

Step-by-step explanation:

The difference in volumes between cube and cone is 5190.52 cubic units.

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

The outer figure is a cube with an edge length of 20 centimeters.

The volume of that cube = L³ cubic units.

= 8000 cubic units.

The volume of that cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The height is 20 cm and the radius will be

[tex]D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1[/tex]

volume of that cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

= [tex]V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3[/tex]

= 59190.52  cubic units

Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.

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Answer:

see explanation

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle, then

P = 31 + 19.5 + 16.2 = 66.7 units

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 16.2 and h = 13 , then

A = [tex]\frac{1}{2}[/tex] × 16.2 × 13 = 8.1 × 13 = 105.3 units²

Answer: 82.5

Step-by-step explanation: 6600 divided by 80 is 82.5

Answer:

82.5

Step-by-step explanation:

Answer:

35.28 m

Step-by-step explanation:

Formula for volume of pyramid:

[tex]V=b^2\frac{h}{3}[/tex]

Therefore since,

base - 4.2 m

height - 6 m

Then,

[tex]V=4.2^2\frac{6}{3}[/tex]

[tex]V=35.28m[/tex]

Kavinsky

Answer:

[tex]\sf \dfrac{1}{8}[/tex]

Step-by-step explanation:

Spinner choices:  Red, Green, Yellow, Blue

Coin choices: Heads, Tails

[tex]\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}[/tex]

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(blue)=\dfrac{1}{4}[/tex]

[tex]\implies \sf P(heads)=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}[/tex]

It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."

A debit card is a small card that contains a chip which a bank issues to its customers to enable them to perform cashless transactions outside the banking hall.

It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."

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Answer: It is a true statement.

A transaction is an agreement between a buyer and a seller to exchange goods, services or financial instruments.

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Have a great day and God bless! :)

Answer: d- 76.5

Step-by-step explanation:

The number of digits is an illustration of combination, and there are 40,000 possible codes that start with a prime number that Genevieve could  create

The given parameters are:

Length = 5

First digit = Prime number (2, 3, 5, and 7)

This means that the first digit can be any of the 4 prime numbers, while the other four digits can be any of the 10 digits 0 - 9

So, the number of codes is

Code = 4 * 10 * 10 * 10 * 10

Evaluate

Codes = 40,000

Hence, there are 40,000 possible codes that start with a prime number that Genevieve could  create

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Answer:

40,000

Step-by-step explanation:

i did the k12 test ;)

Answer:

1

Step-by-step explanation:

If x doesnt have a number in front of it the coefficient is 1.     x^2 + 3x + 7 = 1x^2 + 3x + 7 /// same thing

Answer:

i believe its B. 1

Step-by-step explanation:

First image -Right triangle(One angle is 90 degrees)

Second image-Isosceles triangle(Two equal sides and two equal angles).

Answer:

n = 84

Step-by-step explanation:

18 + 3 = 21, so that means the quotient of the number and 4 is 21.

21 * 4 = 84

CHECK:

84 / 4 = 21

21 - 3 = 18

Answer:

0

Step-by-step explanation:

This would be basically be zero/0 because anything times 0 is just nothing.

Answer:

678.39

Step-by-step explanation:

For this we should probably use the formula A = Pe^rt. The question says that the value grow "continuously" which is our hint that we should use A = Pe^rt rather than A = P(1 +r/n)^nt. Our P = 620 as it is our initial value. e is a constant approx = 2.718. r is our rate, so 0.3% = 0.003, and our t will be in seconds. We need to figure out how many seconds are in .5 minutes, so 30, and that means our t will = 30. Let's plug these in. 620e^(0.003 * 30) = A. This will give us our answer which when rounded to the hundredths = 678.39.

Hope this is helpful.

Answer:

2/3 to the power 8

Step-by-step explanation:

Power : 2 + 6 = 8

Step-by-step explanation:

let's start with B :

the best way to find the vertex is by transforming the function into the vertex form :

y = a(x - h)² + k

with (h, k) being the vertex.

when doing all the multiplications, we get

y = a(x²-2hx+h²) + k = ax² - 2ahx + ah² + k

let's compare with the irreducible function

ax² = 4x²

a = 4

-2ahx = 8x

-2×4hx = 8x

-8hx = 8x

-8h = 8

-h = 1

h = -1

ah² + k = -5

4×(-1)² + k = -5

4 + k = -5

k = -9

so, the vertex form is

y = 4(x + 1)² - 9

the vertex is (-1, -9)

if the factor of the (x-h)² term is greater than 0, then the parabola opens upward, and if it is less than zero, the parabola opens downward.

out factor is +4, so it opens upward, and the vertex is a minimum.

A

now we know

y = 4(x + 1)² - 9

for the x-intercepts we need to find the x-values that lead to 0 y values.

so,

0 = 4(x + 1)² - 9

9 = 4(x + 1)²

3 = ± 2(x + 1) = ± (2x + 2)

for +(2x + 2) is then

3 = 2x + 2

2x = 1

x = 1/2

for -(2x + 2) is then

3 = -2x - 2

5 = -2x

x = -5/2

so, the x-intercepts are

(-5/2, 0) and (1/2, 0).

C

I know it is a parabola.

i know 3 points : the vertex and the 2 x-interceot points. i could then also calculate the points for x = 0, 1, -1, 2, -2.

and then draw the graph with a curve ruler connecting the points.

The total number of outcomes will be 6. Then the sample space will be {(3,R), (3,S), (3,T), (5,R), (5,S), (5,T)}

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.

One spinner has three equally sized sectors labeled R, S, and T.

A second spinner has two equally sized sectors labeled 3 and 5.

Then the total number of the event will be

Total event = 3 × 2

Total event = 6

Then the sample space will be

[tex]\rm Sample = \left\{\begin{matrix}3,R & 3,S & 3,T \\\\5,R & 5,S & 5,T \\\end{matrix}\right.[/tex]

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Answer:

S₉ = 255.5

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 0.5 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1}{0.5}[/tex] = 2 , then

S₉ = [tex]\frac{0.5(2^{9}-1) }{2-1}[/tex]

    = [tex]\frac{0.5(512-1)}{1}[/tex]

    = 0.5(511)

    = 255.5

Answer:

do you have a pic?

Step-by-step explanation:

Answer:

p = -6.32, 6.32

Step-by-step explanation:

[tex]3 {p}^{2} - 120 = 0[/tex]

[tex] {p}^{2} - 40 = 0[/tex]

[tex] {p}^{2} = 40[/tex]

p = -2√10, 2√10

p= -6.32, 6.32

Answer:

18/125

Step-by-step explanation:

4 add 6 is 10

4/10 chance for a girl

6/10 chance for a boy

2 boys and a girl is 4/10, 6/10, 6/10

4/10 multiplied by 6/10 multiplied by 6/10 is:

144/1000

This can be simplified to 72/500

This can be simplified to 36/250

This can be simplified to 18/125

Hey there!

33 - y = 6

33 - 1y = 6

-1y + 33 = 6

-y + 33 = 6

SUBTRACT 33 to BOTH SIDES

-y + 33 - 33 = 6 - 33

SIMPLIFY IT!
-y =6 - 33

-y = 6 - 33

-1y = -27

DIVIDE -1 to BOTH SIDES

-1y/-1 = -27/-1

SIMPLIFY IT!
y = -27/-1

y = 27

Therefore, your answer is: y = 27

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

I guess question is wrong :

What is an equation of the line that passes through the point (-4,-6) and is parallel to the line 33 x– y = 6?

3x - y = 6

[tex]m = \frac{ - a}{b} [/tex]

[tex]m = \frac{ - 3}{ - 1} [/tex]

[tex]m = 1[/tex]

Lines are parallel :

m1 = m2

[tex]x - x1 = m(y - y1)[/tex]

[tex]x + 4= 1(y + 6)[/tex]

[tex]x + 4= y + 6[/tex]

[tex]x - y= 6 - 4[/tex]

[tex]x - y - 2 = 0[/tex]