3.
Find the arc length of AB.
3 cm
P 64°
A
B
PLEASE SHOW WORK!

The perimeter of the shape is 13π

The area of the shape is 48.125π square units

The perimeter of the shape is calculated as follows:

The perimeter of a semicircle = πr

The perimeter of shape = 2 * π * 2 + 2 * π * 4.5

The perimeter of shape = 13π

The area of the shape = area of the two semicircles of radius 2 + area of the two semicircles of radius 4.5 + area of the rectangle

Area of semicircle = πr²/2

The area of the shape = π * 2²/2 + π(4.5)²/2 + 4 * 9

The area of the shape = 48.125π square units

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Answer:  Yes, (-4, 24) is a solution to the given equation.

Step-by-step explanation:

24 = -6(-4)

24 = 24

At a drug research testing facility:

To find the probability that the drug will wear off in less than 200 minutes:

The z-score is (200-240)/40 = -1.

Using a standard normal distribution table or calculator, P(z < -1) = 0.1587. Therefore, the requested probability is P(x < 200) = 0.1587.

To find the probability that the drug will wear off after 220 minutes:

The z-score is (220-240)/40 = -0.5.

Using a standard normal distribution table or calculator, P(z < -0.5) = 0.3085. Therefore, the requested probability is P(x > 220) = 0.3085.

To find the probability that the drug will wear off between 200 and 220 minutes:

Using the z-scores calculated above, find the area between them on the standard normal distribution. P(-1 < z < -0.5) = 0.1867.

Therefore, the requested probability is P(200 < x < 220) = 0.1867.

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Answer:

width = 9 in

Step-by-step explanation:

Area = A = length x width = w x l

w = A/l = 54 in²/6 in = 9 in

Answer:

6x-50-7(3x+10)=0

Distribute the -7:

6x - 50 - 21x - 70 = 0

Combine like terms:

-15x - 120 = 0

Add 120 to both sides:

-15x = 120

Divide both sides by -15:

x = -8

Answer:

Step-by-step explanation:

211

welcome hun

Answer: hmm this question is based on 6-80 and if you calulate the sum and difference it is -74

The value of the expression is -4

A function can simply be explained as an equation, law, rule or expression that tends to show the relationship between two distinct variables.

These variables are called the independent variables and dependent variables.

From the information given, we have the function as;

y= 2x +3

First, let's determine the function y(-5)

Substitute the values of x as -5 in the function;

y(-5) = 2(-5) + 3

expand the bracket

y(-5) = -10 + 3

Add the values

y(-5) = -7

Then, we get;

y(-5)+ 3

-7 + 3

-4

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The proportional relationship is complete as follows:

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

The constant for this problem is given as follows:

k = 146/19

k = 7.684.

Hence the equation is:

y = 7.684x.

The input for an output of 438 is given as follows:

7.684x = 438

x = 438/7.684

x = 57.

The output for an input of 76 is obtained as follows:

y = 7.684 x 76

y = 584.

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The bond yield is approximately 5.0% to the nearest tenth of a percent.

We have,

To find the total cost of the 10 State Farm bonds, we can multiply the price per bond by the number of bonds:

10 bonds x $99.40 per bond = $994.00

So, we paid $994.00 for the 10 State Farm bonds.

To calculate the amount of interest we will receive each year from the bonds, we can use the following formula:

Interest = Principal x Rate

where:

The principal is the amount invested in the bonds

Rate is the interest rate

In this case, our principal is $994.00 and our rate is 5%, or 0.05 as a decimal.

So, the annual interest we will receive from the bonds is:

Interest = $994.00 x 0.05 = $49.70

So,

We will receive $49.70 in interest each year from the bonds.

To calculate the bond yield, we need to use the following formula:

Bond yield = (Annual interest / Total cost) x 100%

In this case, the annual interest is $49.70 and the total cost is $994.00, so we can plug these values into the formula:

Bond yield = ($49.70 / $994.00) x 100% ≈ 5.0%

Therefore,

The bond yield is approximately 5.0% to the nearest tenth of a percent.

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For any matrices A and B, where A is a m x n matrix and B is a n x p matrix, the inequality rank(AB) ≤ min rank(A), rank(B) holds.

To see why this is so, examine the rank of a matrix, which is defined as the matrix's greatest number of linearly independent rows or columns.

In other words, it is the dimension of the vector space covered by the matrix's rows or columns.

When we multiply matrices A and B to obtain AB, we get a matrix with m rows and p columns.

The dot product of a row from A and a column from B yields each element in the matrix.

Because the rows and columns of AB are linear combinations of the rows and columns of A and B, the rank of AB is at most the minimum of the rank of A and the rank of B.

If either A or B has a lower rank than the other, there will be some linear dependency between the rows or columns of one of the matrices, which will carry over to AB. This indicates that AB's rank will be strictly less than the bigger matrix's rank.

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Chase has to jump 2.67 feet to touch the rim.

The rim of the basketball hoop is 10 feet high, which is equal to 120 inches .

Chase's hand can reach 88 inches high.

To find out how many feet Chase has to jump to touch the rim, we need to subtract his reach from the height of the rim:

120 inches (height of rim) - 88 inches (Chase's reach) = 32 inches

So Chase has to jump 32 inches to touch the rim. To convert this to feet, we can divide by the number of inches in a foot:

32 inches ÷ 12 inches/foot = 2.67 feet

Therefore, Chase has to jump  2.67 feet to touch the rim.

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Answer: volume of the cone is 324pi cm^3

Step-by-step explanation:

the volume of the cone is derived by the formula

V= 1/3 pi r^2 h

v= volume of the cone

h= height of the cone

r= radius of the cone

V= 1/3 x pi x 9 x 9 x 12

V= 324pi cm^3

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Step-by-step explanation:

to find the volume use the formula (1/3)πr2h,

[tex]( \frac{1}{3})h\pi \: r {}^{2} \\ \frac{1}{ 3} \times \pi \times 9 \times 9 \times 12 \\ \frac{1}{3} \times 972\pi \: cm \\ = 324\pi \: cm {}^{3} [/tex]

The solution is, the value of the angle & x is:

x = 43

43°, 51°, 86°

We have,

The sum of the angles is ...

 x° + (x +8)° + 2x° = 180°

 4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

 x +2 = 45 . . . . . . . . . . divide by 4

 x = 43 . . . . . . . . . . subtract 2

 x +8 = 51

 2x = 86

The angles are 43°, 51°, 86°.

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complete question:

The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

Mandy's solution makes sense since it entails multiplying the total number of persons in those entire rows (142) by the number of people in each row (ten).

Similarly, multiplying the total number of people in the remaining seats (142) by the number of people in each row (2) yields the total number of people in the remaining seats. The total number of persons in the theater is calculated by adding these two components.

This is a viable use of multiplication's distributive property, in which we break down a multiplication issue into simpler products and then add them up. As a result, Mandy's approach is a viable method for determining the total number of people in the theater.

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The converse statement is of the conditional  “If p then q” is the one in option B.

if q then p.

For two given propositions p and q, a conditional statement is written as:

"if p, then q"

So, if the proposition p is true, also is the proposition q.

The converse statement just changes the order of the two propositions ( if the proposition q is true, also is the proposition p), then here start with q and end with p, so the converse statement is:

if q then p.

The correct option is B.

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Answer:

El volumen en cm cúbicos es 108 cm cúbicos (o a la tercera potencia). La fórmula utilizada para encontrar el volumen es largo por ancho por alto.

Answer:

(x + 1)² + y² = 3

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 1, 0 ) and r = [tex]\sqrt{3}[/tex] , then

(x - (- 1) )² + (y - 0)² = ([tex]\sqrt{3}[/tex] )² , that is

(x + 1)² + y² = 3

The fencing that Wally needs more in 81 feet

A D = E F

A F = DE

AD = AB + BC + CD

Length of the back wall = 15 m

1 y ard = 3 ft

15 ya rds = 15 x 3 = 45

AD EF is a rectangle

5 + 45 + 3 feet

= 53 feet

Then the amount of the fencing that would be required is given as

5 feet + 3 feet + 10 feet + 10 feet + 53 feet

= 81 feet

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Answer:

$68,796.57

Step-by-step explanation:

approx $68,796.57 at 18 years

Answer:

the answer

Step-by-step explanation:

plein-air painting

Answer:

Salon des Refusés. Is the correct answer

Edouard Manet's Luncheon on the Grass was shown in the Salon des Refusés after it was rejected for the annual salon.

The  three equivalent numerical expressions are; Options M, R and S

To determine the expressions, we need to take note that index forms are described as forms that are used for the representation of numbers or variables that are too large or small to be written.

Some rules of index forms are;

From the information given, we have that;

(2^-3)(2^5)/2^7)

add the exponents of the numerator

2⁻³⁺⁵/2⁷

Add the values

2²/2⁷

Subtract the exponents

2⁻⁵

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The trigonometry identity value of sin(A) is -2/5

From the question, we have the following parameters that can be used in our computation:

The value of sin(A) has already been given

However, because the angle A is in Quadrant IV, the value of the trigonometry identity would be negative (sine are negative in the 4th quadrants)

So, we have

sin(A) = -2/5

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Using the correct measure of center, the team that typically has the tallest players is C. The Champs, with a mean of about 66.4 inches.

The three typical measures of center are the mean, the median, and the mode.

The mean is the average value, obtained as the quotient of the total value of the data set divided by the number of items.

The median is the middle value of the data set arranged in descending or ascending order.

The mode refers to the value that occurs most in the data set.

66 66 66 = 198

63 63 63 = 189

65 65 65 = 195

64 64 64 = 192

58 58 58 = 174

Total =      948

Mean = 63.2 (948 ÷ 15)

Median = 64 (58, 58, 58, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66)

62 69 65 = 196

68 60 70 = 198

70 58 67 = 195

66 75 70 = 211

69 67 60 = 196

Total = 996

Mean = 66.4 (996 ÷ 15)

Median = 67 (58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75)

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